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Author: William A. Stein
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************** PARI *****************
Host resnet-229-94.resnet.umbc.edu. (130.85.229.94)
Time: Sun Feb  8 01:22:04 2004

Input: 3+2


Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host c-180-200-120.n.dial.de.ignite.net. (62.180.200.120)
Time: Sun Feb  8 01:40:53 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81)
Time: Sun Feb  8 07:52:49 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81)
Time: Sun Feb  8 07:53:14 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81)
Time: Sun Feb  8 07:53:52 2004

Input: foolr(4688/12346788)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: foolr(4688/12346788)
                                                        ^--------------------


Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81)
Time: Sun Feb  8 07:54:16 2004

Input: factor(4688/12346788)

Output: 
[2 2]

[3 -1]

[293 1]

[691 -1]

[1489 -1]


Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p50861DDB.dip.t-dialin.net. (80.134.29.219)
Time: Sun Feb  8 11:50:57 2004

Input: solve(y=x^3-3*x^2-9*x+30,x);

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...olve(y=x^3-3*x^2-9*x+30,x);
                                                                        ^--


Timing:
real	0m0.067s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-b41f72d5.07-114-6c6b701.cust.bredbandsbolaget.se. (213.114.31.180)
Time: Mon Feb  9 08:28:01 2004

Input: a := 2+3;
print a;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a:=2+3;
                                ^-----


Timing:
real	0m0.074s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host qn-212-127-199-12.quicknet.nl. (212.127.199.12)
Time: Wed Feb 11 13:32:36 2004

Input: 2+3


Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.089s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host qn-212-127-199-12.quicknet.nl. (212.127.199.12)
Time: Wed Feb 11 13:33:10 2004

Input: 2+3
log1000

Output: 5
log1000

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host qn-212-127-199-12.quicknet.nl. (212.127.199.12)
Time: Wed Feb 11 13:33:36 2004

Input: 2+3
log1000+log10

Output: 5
log1000 + log10

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host cae168-252-126.sc.rr.com. (24.168.252.126)
Time: Wed Feb 11 23:33:35 2004

Input: 9+6+6

Output: 21

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (193.63.160.251)
Time: Thu Feb 12 04:47:04 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host dl-nas1-gyn-C89A386D.p001.terra.com.br. (200.154.56.109)
Time: Thu Feb 12 07:11:38 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam27-47.fas.harvard.edu. (140.247.27.47)
Time: Thu Feb 12 10:00:13 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 84e5e4e4.math.leidenuniv.nl. (132.229.228.228)
Time: Thu Feb 12 10:52:58 2004

Input: ?BetterPolynomial



Output: 
Errors (if any) and Timing Info:  ***   BetterPolynomial: unknown identifier.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 84e5e4e4.math.leidenuniv.nl. (132.229.228.228)
Time: Thu Feb 12 10:53:04 2004

Input: ?Better



Output: 
Errors (if any) and Timing Info:  ***   Better: unknown identifier.

Timing:
real	0m0.080s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host cache1.nottingham.ac.uk. (128.243.220.21)
Time: Thu Feb 12 11:42:30 2004

Input: F:=FiniteField(8);
F;
E:=EllipticCurve([F|0,0,1,F.1^3,1]);
E;
Points(E);
V:=ProjectiveSpace(F,1);
V;
Points(V);



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: F:=FiniteField(8);
                                ^----------------

  ***   unexpected character: E:=EllipticCurve([F|0,
                                ^--------------------

  ***   expected character: '=' instead of: Points(E);
                                                     ^-

  ***   unexpected character: V:=ProjectiveSpace(F,1
                                ^--------------------

  ***   expected character: '=' instead of: Points(V);
                                                     ^-


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 241.Red-217-126-124.pooles.rima-tde.net. (217.126.124.241)
Time: Thu Feb 12 15:06:00 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host barax3.su.lt. (193.219.168.14)
Time: Fri Feb 13 01:54:16 2004

Input: 10+202

Output: 212

Errors (if any) and Timing Info:
Timing:
real	0m0.138s
user	0m0.050s
sys	0m0.050s


************** PARI *****************
Host janssons.medic.chalmers.se. (129.16.32.56)
Time: Fri Feb 13 08:50:27 2004

Input: 1+2


Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host cacheng.unige.ch. (129.194.8.73)
Time: Fri Feb 13 09:08:00 2004

Input: xxx

Output: xxx

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host mathl30.sogang.ac.kr. (163.239.42.230)
Time: Fri Feb 13 20:36:49 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.109s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host87-9.pool80182.interbusiness.it. (80.182.9.87)
Time: Sun Feb 15 05:52:06 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.085s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162)
Time: Sun Feb 15 16:58:17 2004

Input: p = 250


P = 3490529510847650949147849619903898133417764638493387843990820577
b P
Q = 32769132993266709549961988190834461413177642967992942539798288533
b Q
N=P*Q
b N
E = 9007
b E
D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095
b D
M = 200805001301070903002315180419000118050019172105011309190800151919090618010705
b M
C = Mod(M^E,N)
b C
X = Mod(C^D,N)
b X
b M


Output: 250
3490529510847650949147849619903898133417764638493387843990820577
bP
32769132993266709549961988190834461413177642967992942539798288533
bQ
114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541
bN
9007
bE
106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095
bD
200805001301070903002315180419000118050019172105011309190800151919090618010705
bM
Mod(96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154, 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541)
bC
bX
bM

Errors (if any) and Timing Info:  ***   forbidden division t_INTMOD % t_INT.

Timing:
real	0m1.479s
user	0m1.400s
sys	0m0.040s


************** PARI *****************
Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162)
Time: Sun Feb 15 17:04:08 2004

Input: p = 250


P = 3490529510847650949147849619903898133417764638493387843990820577

Q = 32769132993266709549961988190834461413177642967992942539798288533

N=P*Q

D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095

C = 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154

X = Mod(C^D,N)



Output: 250
3490529510847650949147849619903898133417764638493387843990820577
32769132993266709549961988190834461413177642967992942539798288533
114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541
106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095
96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154

Errors (if any) and Timing Info:
Timing:
real	0m21.073s
user	0m20.930s
sys	0m0.070s


************** PARI *****************
Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162)
Time: Sun Feb 15 17:07:02 2004

Input: p = 250


P = 3490529510847650949147849619903898133417764638493387843990820577

Q = 32769132993266709549961988190834461413177642967992942539798288533

N=P*Q

D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095

C = 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154

X = Mod(C^D,N)



Output: 250
3490529510847650949147849619903898133417764638493387843990820577
32769132993266709549961988190834461413177642967992942539798288533
114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541
106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095
96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154

Errors (if any) and Timing Info:
Timing:
real	0m21.030s
user	0m20.940s
sys	0m0.060s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 19:53:09 2004

Input: cos(x)

Output: 1 - 1/2*x^2 + 1/24*x^4 - 1/720*x^6 + 1/40320*x^8 - 1/3628800*x^10 + 1/479001600*x^12 - 1/87178291200*x^14 + 1/20922789888000*x^16 + O(x^17)

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 19:53:40 2004

Input: (1+x)^3

Output: x^3 + 3*x^2 + 3*x + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 19:58:18 2004

Input: n=3+I-I

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 19:58:27 2004

Input: n=3+I-I

type(n)

Output: 3
"t_COMPLEX"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 19:58:48 2004

Input: n=3+I-I

type(n)

(1+x)^n

Output: 3
"t_COMPLEX"
1 + 3*x + 3*x^2 + x^3 + O(x^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:29:31 2004

Input: m=[a,b,c; d,e,f]

m[1,2]

Output: 
[a b c]

[d e f]

b

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:33:51 2004

Input: h=mathilbert(20)

Output: 
[1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20]

[1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21]

[1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22]

[1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23]

[1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24]

[1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25]

[1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26]

[1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27]

[1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28]

[1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29]

[1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30]

[1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31]

[1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32]

[1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33]

[1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34]

[1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35]

[1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36]

[1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37]

[1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38]

[1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:35:17 2004

Input: h=mathilbert(20)

d=matdet(h)

Output: 
[1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20]

[1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21]

[1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22]

[1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23]

[1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24]

[1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25]

[1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26]

[1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27]

[1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28]

[1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29]

[1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30]

[1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31]

[1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32]

[1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33]

[1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34]

[1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35]

[1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36]

[1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37]

[1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38]

[1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39]

1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:36:22 2004

Input: h=mathilbert(20)

d=matdet(h)

1.*d

sizedigit(1/d)

Output: 
[1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20]

[1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21]

[1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22]

[1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23]

[1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24]

[1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25]

[1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26]

[1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27]

[1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28]

[1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29]

[1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30]

[1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31]

[1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32]

[1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33]

[1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34]

[1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35]

[1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36]

[1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37]

[1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38]

[1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39]

1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000
4.206178956624722655882045573 E-226
226

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:37:25 2004

Input: h=mathilbert(20)

d=matdet(h)

1.*d

sizedigit(1/d)

hr=1.*h

dr=matdet(hr)

Output: 
[1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20]

[1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21]

[1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22]

[1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23]

[1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24]

[1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25]

[1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26]

[1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27]

[1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28]

[1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29]

[1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30]

[1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31]

[1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32]

[1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33]

[1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34]

[1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35]

[1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36]

[1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37]

[1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38]

[1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39]

1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000
4.206178956624722655882045573 E-226
226

[1.000000000000000000000000000 0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999]

[0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761]

[0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545]

[0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782]

[0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666]

[0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999]

[0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846]

[0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703]

[0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571]

[0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310]

[0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333]

[0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333 0.03225806451612903225806451612]

[0.07692307692307692307692307692 0.07142857142
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.082s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:38:05 2004

Input: h=mathilbert(20)

d=matdet(h)

1.*d

sizedigit(1/d)

hr=1.*h

dr=matdet(hr);

Output: 
[1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20]

[1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21]

[1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22]

[1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23]

[1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24]

[1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25]

[1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26]

[1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27]

[1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28]

[1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29]

[1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30]

[1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31]

[1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32]

[1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33]

[1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34]

[1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35]

[1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36]

[1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37]

[1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38]

[1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39]

1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000
4.206178956624722655882045573 E-226
226

[1.000000000000000000000000000 0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999]

[0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761]

[0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545]

[0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782]

[0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666]

[0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999]

[0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846]

[0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703]

[0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571]

[0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310]

[0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333]

[0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333 0.03225806451612903225806451612]

[0.07692307692307692307692307692 0.07142857142
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.089s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:38:29 2004

Input: h=mathilbert(20);

d=matdet(h)

1.*d

sizedigit(1/d)

hr=1.*h;

dr=matdet(hr)

Output: 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000
4.206178956624722655882045573 E-226
226
4.214994460011957212043903530 E-226

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:40:01 2004

Input: m=[a,b,c;d,e,f;g,h,i]

n=[1,2,3;4,5,6;7,8,9]

m*n

Output: 
[a b c]

[d e f]

[g h i]


[1 2 3]

[4 5 6]

[7 8 9]


[a + (4*b + 7*c) 2*a + (5*b + 8*c) 3*a + (6*b + 9*c)]

[d + (4*e + 7*f) 2*d + (5*e + 8*f) 3*d + (6*e + 9*f)]

[g + (4*h + 7*i) 2*g + (5*h + 8*i) 3*g + (6*h + 9*i)]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:41:15 2004

Input: vector(10,i,i^2)

Output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:43:36 2004

Input: n=10^15+3

Output: 1000000000000003

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:44:31 2004

Input: n=10^15+3
factor(n,200000)

Output: 1000000000000003

[1000000000000003 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:46:38 2004

Input: n=10^15+3
factor(n,200000)
a=Mod(2,n)
a^(n-1)

Output: 1000000000000003

[1000000000000003 1]

Mod(2, 1000000000000003)
Mod(70605991389233, 1000000000000003)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:47:04 2004

Input: n=10^15+3
factor(n,200000)
a=Mod(2,n)
a^(n-1)
factor(n)

Output: 1000000000000003

[1000000000000003 1]

Mod(2, 1000000000000003)
Mod(70605991389233, 1000000000000003)

[14902357 1]

[67103479 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:55:21 2004

Input: nfint(x^2+1)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: nfint(x^2+1)
                                                   ^-----


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:55:48 2004

Input: k=nfinit(x^2+1)

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:55:54 2004

Input: k=nfinit(x^2+1);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 20:56:09 2004

Input: k=nfinit(x^2+5);

k.disc

Output: -20

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 21:10:07 2004

Input: k=nfinit(x^2-5);

k.disc

k.fu

Output: 5

Errors (if any) and Timing Info:  ***   incorrect type in .fu: k.fu
                                 ^--


Timing:
real	0m0.058s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:07:06 2004

Input: k=bnfinit(x^2-5);

k.disc

k.fu

Output: 5
[1/2*x - 1/2]

Errors (if any) and Timing Info:
Timing:
real	0m0.095s
user	0m0.080s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:11:13 2004

Input: n=[-2,1,17;1,0,-10;0,0,1]

m=[4,7,2;2,4,6;0,0,0]

m*n

Output: 
[-2 1 17]

[1 0 -10]

[0 0 1]


[4 7 2]

[2 4 6]

[0 0 0]


[-1 4 0]

[0 2 0]

[0 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:12:32 2004

Input: k=nfinit(x^2-5);

k.disc

k.fu

Output: 5

Errors (if any) and Timing Info:  ***   incorrect type in .fu: k.fu
                                 ^--


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:12:38 2004

Input: m=[a,b,c; d,e,f]

m[1,2]

Output: 
[a b c]

[d e f]

b

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:16:50 2004

Input: m=[4,7,2; 2,4,6; 0,0,0] 

n=[-2,1,17; 1,0,-10; 0,0,1]

a=m*n

Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[-2 1 17]

[1 0 -10]

[0 0 1]


[-1 4 0]

[0 2 0]

[0 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:19:40 2004

Input: m=[4,7,2; 2,4,6; ,,] 

n=[-2,1,17; 1,0,-10; 0,0,1]

a=m*n

Output: 
[-2 1 17]

[1 0 -10]

[0 0 1]


[-2*m m 17*m]

[m 0 -10*m]

[0 0 m]


Errors (if any) and Timing Info:  ***   unexpected character: m=[4,7,2;2,4,6;,,]
                                             ^---


Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:19:59 2004

Input: m=[4,7,2; 2,4,6; 0, 0, 0] 

n=[-2,1,17; 1,0,-10; 0,0,1]

a=m*n

Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[-2 1 17]

[1 0 -10]

[0 0 1]


[-1 4 0]

[0 2 0]

[0 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:28:11 2004

Input: k=bnfinit(x^3-2);

k.fu

Output: [x - 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.107s
user	0m0.100s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:29:15 2004

Input: k=bnfinit(x^3-2);

k.fu

k.roots

Output: [x - 1]
[1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I]

Errors (if any) and Timing Info:
Timing:
real	0m0.109s
user	0m0.090s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:31:07 2004

Input: k=nfinit(x^3-2);

k.disc

k.zk

Output: -108
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:47:10 2004

Input: polcompositum(x^3-2,x^3-2)

Output: [x^3 + 2, x^6 + 40*x^3 + 1372]~

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:47:57 2004

Input: k=nfinit(x^6 + 40*x^3 + 1372)

Output: [x^6 + 40*x^3 + 1372, [0, 3], -34992, 48009024, [[1, 2.519842099789746329534421214 + 2.182247271943442807120145228*I, 1.587401051968199474751705639 + 10.99783709598882101106783357*I, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I, 0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -1.923661050931536319759458123 - 5.115708079723970549004873536*I; 1, 0.6299605249474365823836053036 + 3.273370907915164210680217842*I, -10.31810683779329658588608665 + 4.124188910995807879150437590*I, -0.5000000000000000000000000000 - 0.8660254037844386467637231707*I, 0.6299605249474365823836053036 + 1.091123635971721403560072614*I, 4.262203155904598424255116917 - 2.849063741240763986472595062*I; 1, -3.149802624737182911918026518 + 1.091123635971721403560072614*I, 8.730705785825097111134381016 - 6.873648184993013131917395984*I, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I, -1.259921049894873164767210607 + 0.E-77*I, -3.838542104973062104495658794 + 3.132669742267645209296001644*I], [2, 2, 2; 5.039684199579492659068842429 - 4.364494543886885614240290456*I, 1.259921049894873164767210607 - 6.546741815830328421360435685*I, -6.299605249474365823836053036 - 2.182247271943442807120145228*I; 3.174802103936398949503411278 - 21.99567419197764202213566715*I, -20.63621367558659317177217331 - 8.248377821991615758300875181*I, 17.46141157165019422226876203 + 13.74729636998602626383479196*I; -1.000000000000000000000000000 - 1.732050807568877293527446341*I, -1.000000000000000000000000000 + 1.732050807568877293527446341*I, -1.000000000000000000000000000 - 1.732050807568877293527446341*I; 1.259921049894873164767210607 - 2.182247271943442807120145228*I, 1.259921049894873164767210607 - 2.182247271943442807120145228*I, -2.519842099789746329534421214 + 0.E-77*I; -3.847322101863072639518916246 + 10.23141615944794109800974707*I, 8.524406311809196848510233835 + 5.698127482481527972945190124*I, -7.677084209946124208991317589 - 6.265339484535290418592003290*I], [6, 0.E-76, 2.76357393 E-76, -3.000000000000000000000000000, 1.03634022 E-76, -3.000000000000000000000000000; 0.E-76, 66.67084418266437793957163685, 0.E-75, 4.83625438 E-76, 23.81101577952299212127558458, -14.28660946771379527276535075; 2.76357393 E-76, 0.E-75, 740.8335773381854208831198370, -2.76357393 E-76, 1.10542957 E-75, -340.1786834716157544871468639; -3.000000000000000000000000000, 4.83625438 E-76, -2.76357393 E-76, 6.000000000000000000000000000, 1.03634022 E-76, 3.000000000000000000000000000; 1.03634022 E-76, 23.81101577952299212127558458, 1.10542957 E-75, 1.03634022 E-76, 9.524406311809196848510233835, -4.762203155904598424255116917; -3.000000000000000000000000000, -14.28660946771379527276535075, -340.1786834716157544871468639, 3.000000000000000000000000000, -4.762203155904598424255116917, 161.4050122909006713806375265], [6, 0, 0, -3, 0, -3; 0, 0, -120, 0, 0, 54; 0, -120, 0, 0, -66, 18; -3, 0, 0, -3, 0, 0; 0, 0, -66, 0, 0, 30; -3, 54, 18, 0, 30, -15], [-18, -12, -6, -12, -12, -15; 0, -6, 0, 0, 0, -3; 0, 0, -3, 0, 0, 0; 0, 0, 0, -6, 0, -3; 0, 0, 0, 0, -6, -3; 0, 0, 0, 0, 0, -3], [-3888, 21384, 0, 3888, -38880, 0; 21384, 42768, 29160, -21384, -60264, 64152; 0, 29160, 0, 0, -52488, 0; 3888, -21384, 0, 7776, 38880, 0; -38880, -60264, -52488, 38880, 77760, -116640; 0, 64152, 0, 0, -116640, 0], [11664, [-3888, 3888, 0, 3888, 1944, 0]~]], [2.519842099789746329534421214 + 2.182247271943442807120145228*I, 0.6299605249474365823836053036 + 3.273370907915164210680217842*I, -3.149802624737182911918026518 + 1.091123635971721403560072614*I], [1, x, x^2, 1/36*x^3 + 1/18, 1/252*x^4 + 55/126*x, 1/5292*x^5 + 1/756*x^4 + 1/108*x^3 - 1205/2646*x^2 - 71/378*x - 17/54], [1, 0, 0, -2, 0, 1764; 0, 1, 0, 0, -110, 1764; 0, 0, 1, 0, 0, 2410; 0, 0, 0, 36, 0, -1764; 0, 0, 0, 0, 252, -1764; 0, 0, 0, 0, 0, 5292], [1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 7, 3, 0, -2, 0, 49, -6, 15, 0, 0, 49, -1, 0, -23, 0, 7, -6, 0, 5, 2, 0, 3, 15, -23, 2, -15; 0, 1, 0, 0, 0, 0, 1, 0, 0, -3, 7, 1, 0, 0, -110, 49, 0, 67, 0, -3, 49, 0, -1, -22, 0, 7, 0, -1, 5, -1, 0, 1, 67, -22, -1, -39; 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 10, 3, 1, 0, 0, 67, 0, 22, 0, 0, 67, 0, 0, -31, 0, 10, 0, 0, 7, -1, 0, 3, 22, -31, -1, -22; 0, 0, 0, 1, 0, 0, 0, 0, 36, 0, -7, -19, 0, 36, 0, -49, 10, -25, 1, 0, -49, -1, 0, 22, 0, -7, 10, 0, -5, -4, 0, -19, -25, 22, -4, 24; 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, -7, 0, 0, 0, 252, -49, 0, -133, 0, 7, -49, 0, 2, 21, 1, -7, 0, 2, -5, 1, 0, 0, -133, 21, 1, 69; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 21, 7, 0, 0, 0, 147, 0, 49, 0, 0, 147, 0, 0, -68, 0, 21, 0, 0, 15, -2, 1, 7, 49, -68, -2, -49]]

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:48:08 2004

Input: k=nfinit(x^6 + 40*x^3 + 1372);

k.zk

Output: [1, x, x^2, 1/36*x^3 + 1/18, 1/252*x^4 + 55/126*x, 1/5292*x^5 + 1/756*x^4 + 1/108*x^3 - 1205/2646*x^2 - 71/378*x - 17/54]

Errors (if any) and Timing Info:
Timing:
real	0m0.086s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:49:18 2004

Input: polyredabs(x^6 + 40*x^3 + 1372)



Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: polyredabs(x^6+40*x^3+1372)
                                                        ^---------------


Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:49:41 2004

Input: polredabs(x^6 + 40*x^3 + 1372)



Output: x^6 - 3*x^5 + 5*x^3 - 3*x + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.087s
user	0m0.070s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:50:06 2004

Input: polisirreducible(x^6 + 40*x^3 + 1372)



Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:50:26 2004

Input: polisirreducible(x^2-1)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:50:56 2004

Input: k=nfinit(x^3-2)

k.zk

Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:51:16 2004

Input: k=nfinit(x^3-2);

k.zk



Output: [1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:51:26 2004

Input: k=nfinit(x^3-2);

k.zk

w=x

Output: [1, x, x^2]
x

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:51:50 2004

Input: k=nfinit(x^3-2);

k.zk

w=x

w1=1

w2=x

w3=x^2

Output: [1, x, x^2]
x
1
x
x^2

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Sun Feb 15 22:53:56 2004

Input: k=nfinit(x^3-2);

k.zk

w=x

w1=1

w2=x

w3=x^2

trace(w3)

Output: [1, x, x^2]
x
1
x
x^2
2*x^2

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (218.79.220.21)
Time: Mon Feb 16 00:18:33 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 2(SERVFAIL) (195.198.73.254)
Time: Mon Feb 16 04:48:46 2004

Input: factor(4080)

Output: 
[2 4]

[3 1]

[5 1]

[17 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.092s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (212.205.10.10)
Time: Mon Feb 16 07:56:49 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host nat-b.acn.pl. (212.76.39.249)
Time: Mon Feb 16 12:57:28 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 2(SERVFAIL) (140.115.25.8)
Time: Mon Feb 16 20:07:09 2004

Input: 1

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Feb 16 21:17:00 2004

Input: k=nfinit(x^2+3)

k.zk

Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]]
[1, 1/2*x + 1/2]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (203.162.3.146)
Time: Tue Feb 17 03:08:15 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ZWLEE.ECE.CMU.EDU. (128.2.132.182)
Time: Tue Feb 17 10:35:28 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213)
Time: Tue Feb 17 12:46:14 2004

Input: prime(7)

Output: 17

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213)
Time: Tue Feb 17 12:46:24 2004

Input: prime(71)

Output: 353

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213)
Time: Tue Feb 17 12:46:30 2004

Input: prime(71111)

Output: 
Errors (if any) and Timing Info:  ***   not enough precalculated primes

Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213)
Time: Tue Feb 17 12:46:38 2004

Input: prime(111)

Output: 607

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213)
Time: Tue Feb 17 12:46:46 2004

Input: prime(1111)

Output: 8933

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host net-29067.fas.harvard.edu. (140.247.28.233)
Time: Tue Feb 17 15:12:47 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host net-29067.fas.harvard.edu. (140.247.28.233)
Time: Tue Feb 17 15:12:59 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ar3-m13.net.hinet.hr. (195.29.66.13)
Time: Tue Feb 17 17:16:18 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam149-32.student.harvard.edu. (140.247.149.32)
Time: Tue Feb 17 18:39:58 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam149-32.student.harvard.edu. (140.247.149.32)
Time: Tue Feb 17 20:06:30 2004

Input: Q<x> := PolynomialRing(Rationals());
K<x> := NumberField(x^3-2);
E := EquationOrder(K<x>);
O := MaximalOrder(K<x>);
IntegralBasis(K);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Q<x>:=PolynomialRing(Rat
                                  ^--------------------

  ***   unexpected character: K<x>:=NumberField(x^3-2)
                                  ^--------------------

  ***   unexpected character: E:=EquationOrder(K<x>)
                                ^--------------------

  ***   expected character: '(' instead of: O:=MaximalOrder(K<x>)
                                             ^--------------------

  ***   expected character: '=' instead of: IntegralBasis(K);
                                                            ^-


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam149-32.student.harvard.edu. (140.247.149.32)
Time: Tue Feb 17 20:06:50 2004

Input: Q<x> := PolynomialRing(Rationals());
K := NumberField(x^3-2);
E := EquationOrder(K);
O := MaximalOrder(K);
IntegralBasis(K);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Q<x>:=PolynomialRing(Rat
                                  ^--------------------

  ***   unexpected character: K:=NumberField(x^3-2);
                                ^--------------------

  ***   unexpected character: E:=EquationOrder(K);
                                ^------------------

  ***   expected character: '(' instead of: O:=MaximalOrder(K);
                                             ^------------------

  ***   expected character: '=' instead of: IntegralBasis(K);
                                                            ^-


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam149-32.student.harvard.edu. (140.247.149.32)
Time: Tue Feb 17 20:06:55 2004

Input: Q<x> := PolynomialRing(Rationals());
K := NumberField(x^3-2);
E := EquationOrder(K);
O := MaximalOrder(K);
IntegralBasis(K);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Q<x>:=PolynomialRing(Rat
                                  ^--------------------

  ***   unexpected character: K:=NumberField(x^3-2);
                                ^--------------------

  ***   unexpected character: E:=EquationOrder(K);
                                ^------------------

  ***   expected character: '(' instead of: O:=MaximalOrder(K);
                                             ^------------------

  ***   expected character: '=' instead of: IntegralBasis(K);
                                                            ^-


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host d66-222-151-70.abhsia.telus.net. (66.222.151.70)
Time: Tue Feb 17 21:21:50 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam183-108.student.harvard.edu. (140.247.183.108)
Time: Tue Feb 17 21:37:08 2004

Input: w = quadgen(-3)



Output: w

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam183-108.student.harvard.edu. (140.247.183.108)
Time: Tue Feb 17 21:38:26 2004

Input: w = quadgen(-3)

charpoly(w)


Output: w
x^2 - x + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Wed Feb 18 00:36:13 2004

Input: k=nfinit(x^3-2);

k.zk

Output: [1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ps.melco.co.jp. (192.218.140.157)
Time: Wed Feb 18 02:47:57 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ps.melco.co.jp. (192.218.140.157)
Time: Wed Feb 18 02:48:05 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host unallocated.star.net.uk. (62.173.118.42)
Time: Wed Feb 18 04:48:36 2004

Input: integrate( x )

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: integrate(x)
                                                        ^


Timing:
real	0m0.101s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p3E9E627B.dip.t-dialin.net. (62.158.98.123)
Time: Wed Feb 18 04:59:39 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host aula-a-siee03.uab.es. (158.109.66.3)
Time: Wed Feb 18 06:02:00 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228)
Time: Wed Feb 18 06:55:04 2004

Input: O5:=OrderMaximal(Z,2,5);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: O5:=OrderMaximal(Z,2,5)
                                 ^--------------------


Timing:
real	0m0.072s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228)
Time: Wed Feb 18 06:55:21 2004

Input: 2^3;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228)
Time: Wed Feb 18 06:55:27 2004

Input: 2^3

Output: 8

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228)
Time: Wed Feb 18 06:55:35 2004

Input: ?5

Output: 
elladd          ellak           ellan           ellap
ellbil          ellchangecurve  ellchangepoint  elleisnum
elleta          ellglobalred    ellheight       ellheightmatrix
ellinit         ellisoncurve    ellj            elllocalred
elllseries      ellorder        ellordinate     ellpointtoz
ellpow          ellrootno       ellsigma        ellsub
elltaniyama     elltors         ellwp           ellzeta
ellztopoint     


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (159.226.47.109)
Time: Wed Feb 18 08:00:54 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host scylla.inria.fr. (138.96.81.2)
Time: Wed Feb 18 08:18:09 2004

Input: 2+2;


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host250-185.pool81115.interbusiness.it. (81.115.185.250)
Time: Wed Feb 18 09:47:14 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host sv4.ictp.trieste.it. (140.105.16.64)
Time: Wed Feb 18 17:25:10 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam129-129.student.harvard.edu. (140.247.129.129)
Time: Wed Feb 18 18:06:02 2004

Input: k=nfint(x^3-2)
k.zk

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: k=nfint(x^3-2)
                                                     ^-----

  ***   incorrect type in .zk: k.zk
                                 ^--


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam129-129.student.harvard.edu. (140.247.129.129)
Time: Wed Feb 18 18:06:17 2004

Input: k=nfinit(x^3-2)
k.zk

Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:42:13 2004

Input: 5883377743366005002288555544466433777 isPrime

Output: 
Errors (if any) and Timing Info:  ***   unused characters: ...6005002288555544466433777isPrime
                                                       ^-------


Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:42:42 2004

Input: isPrime(5883377743366005002288555544466433777)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: isPrime(588337774336
                                                        ^--------------------


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:44:33 2004

Input: isprime(5883377743366005002288555544466433777)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:45:10 2004

Input: isprime(5883377743366005002288555544466433777,1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.535s
user	0m0.410s
sys	0m0.110s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:45:17 2004

Input: isprime(5883377743366005002288555544466433777,2)

Output: 
[2 3 1]

[54327724247 2 1]

[6768387854580168176412713 2 [2, 3, 1; 11, 2, 1; 6521, 2, 1; 495362689, 2, 1]]


Errors (if any) and Timing Info:
Timing:
real	0m0.490s
user	0m0.400s
sys	0m0.090s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:49:43 2004

Input: 2^20000000

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.519s
user	0m20.690s
sys	0m0.320s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:49:59 2004

Input: 2^200000

Output: 9980051818471209560859346309213505420041765610346220829126570959195807493223281009034491688459450029180405619772465299384020878521785380969051464518340832825094027267918386963684448752958718980274020850798213311027763212137813883289959647384877546795977235831526317325470277184725609174807369684823136976033122822961904431694541699548022641336697007765593743832319325548503664493346008271533204539831188961149915750728642920964584169564037616464267721212484116246995691842836056561529719175223592360220756433047198880083551717213289166286863081641180682451486914299326008838137363126200453029877109708228005209626492112258394314792350469808094133043712979590428257819311364323501650280812543338930916804952118219992682428018534057429148399639327041310355439174730911496947880801432967813077337967459306647671383813376770826633081907115630857484880618494014576205602691031097968381924394787677369814771867723438007924115393795870238239862684426886672688910033774190792664850845372822677311588590203850112414194636871679023208090350243796597442926500392687595673820966556875664260163237198650381993575087088289667293910894985717082847945055187918854237747326151073045843681783199482155232827723292941974953771613798991794680841351256463580273523590587809269583545359645590369629555810167275884796524307703000476966333337069307369825430136719179779375398382363833961710064856757800305835510003557387145856455001420308996178223785489268695448888482970389741087389524524235123429442462978424281736544613729521800838109387461647216773817778257232976893801651244859615422364347148296721489221261238671489530421736460757661146978245212465038468725728214254678344736818804438902569719528362742262077040757620129120609980995190751944542710664939865715848786007032012946074368500988292045101961752160206062371583517522845146548116203002508312925059361165067457762440258215114003669526019524622823614429515722224882045796677167645684321251919589859880158824025971966762304747630209662670103080010004806517296162958286119894585268096017004163865187261515920841707092889035994723311246932781769156790937147608512849644758564703061690608545190838709421497386086225813848618631147488096290122298840787044860128881792387109786755775508888233569077356060545857983136408925830127066260769950742643412722428829082842888649978017303358166299492043154392980216297709860399436749828833838091353518999658970576390806819879926544787510471037806156868572592378555215293804478972801409794721660035726432677009731747662589319470975062278211633255949027895572830023548979778205170363098776926913014637089779726696014234938441079541428818269184544202525201859604993114285151571168658902741985969687824592669921006108880867481691387826475742418340629761033270584139486198563727002337160744399071756287527465885341612932876544199275354303909243346783264361466723303794402047879198613218700233495579277397865166979530359969811703628030637197246158869017455218470343821522005413181172860526230676243933663324471426547394339689941451125544688916187908873382891215203658853842817332781781806655798149365680582207748033932494215455190366825417159996063173922436905764162667771383522982865607976621325353126476992594560493838842317373758939702170879099191890538361516081925807482598330793922774846466365296027121214208007159020283963255621747787632980494956390985301024250751183333221534746242556300162899916065605898393217264950997198509177588185560734098212061638024740776568870911253510592993823447843076676227291654164135680825884208391190309381055261434793551278296172735494837009928483115046233138666632946812405593056565014171295574415859664453254730970620708197260836354456821919193957744156303286147645295434314547804802148405069959928865438861211610125585017415128176957271445935394595795799691780968868974754499434304694570306038347097427831203214844262794347061252871214358346066395364339046035658269104697189923943767993760880999218057448042124993954371160148118356917138554998585259576451931019460262916354752365581543124817606582581119850192713656487430388701835663148494438680070713803534142045233661781861292884033673194580631359792743336667397152530643652774482744001134274641073599397744100694809434145677419756650929338911856083673997305924781469849921155109449543708133295362361553209820759310904609313121778867739730692352159651681385438464087870109630087016328223734097947225323723186604202518061728713863775690358336369462756743686491863758024570924640364322778239848795927926626244179320941559878351486296047102384860744347972894966419632071249566688701831288905981179216836503682067533022352469235553299989069748875787908407485462457744126130053899732667964416876507865863493823649453147561111515989273147308586595061069862212340933876995203513674589566826746061072316261671373502714785049192001603417229108982012226088309908617629887207024348993966361079581134636375218101755406742543155975255060138202615691137808951005340507327421279665923454358180855826943069768482235856651411724376426246183053602016462500195041535455321849232707705714074346606848407533803095503066209275690379356062779524360285359245381402803896932565165180783447401699501571452976600051058777386189670574347881652765612542838257490392126564432220711159507133990050236357646039987078345837269261544531913234428573145047779638872024723196187350854348033518392565136238456089481668400209690773563688292811406301986394041866711633302190487975365960958945155340886110787675553492456008104560861691100992933226190463633693667420583952343845215794790321798039951594321541889381213452388377114996095634472170339334997326664087264209056326122414402294505975068433867144094646149423904252451037039671555982650695975087349884025259622572841952403383515837339037069116441077574901963864518532532376894687903148420536127512042191964717177860246545946963803359425629101504119980435127693593370625667733077721190591139786070069666785275185079574636673506591159291717319414349205116812514686680876543460435856593986928606550172516272287782741214624250761872509738000009155766762419514228195279797754768102376174817308462013217538401183102215459047540701238308171703646888549484373849972284456189834898111732229995627427270612033576579630007562482953353016901482854335848026500581679303105295299598850278574847895613542215692692070161066019712576727481680663790400561440304772069430924692300409019787472827358645321536570341774683943958426858373294603201968517313287158000187815049623921902104856870494090665589580732048760469124810848997177613797677684086930326338536832758127094713283407934175944436026963792749516075465561522604582409635136747082940858456231398322248437631564530208163573687668999026747846283350347904689412092360417799882209638756077965926439097218102613184013625875815420506931476549426636717974324017691553902967386822651774545216533280954112244803312607024557796481699677853671643789148343974835548704328466481761663972890805147448178558228544694286876810398651227935278079504967493211399000665644945842813121253462327016443371406290217100072450836787660755301736857973338839041248462541823730882652698235542737852877004810201213385068832975566843157121954125342612720310463502290002694653401689723727284386091144259496027990184863954741492389786839850397315743526561350286074855853262555399488975598931959645731422483547025058064239669481444143525772240598518081842849262568419196629841355265892789345143803195084577402486877929389820419236437718134472563357807349275888102491908586582895195383419643142968342719289908000279843664195596920024710499197510641212522265399491520701305436054357528457978722144803594192192908982001098506454100340001284282484841522793519057757894743539618358742188605420601583663270747986043180078466669583152103175259804172369467368462480478523678816815003174671977950304334289508685829626177679824383625317589446603618329242297079218624817787385972565837555472485810493851097294564536072476755875843831514831632030407521449555095778568248649573403468757036512409815895723096586224513209911985485880019752561287007717587908619988616956325545409718013825534964437381193150972037710826337016929255144984167455204189058764046679023909577486117707344908564834779144445260977510017147979452388452821347006462947036652995391415581194242032303968414975038268123580232884837348765979257203441523046205984032464049681143211432118619508954321515001506759862787702507961515659682587470980700223065290839307195272858788364742861101028583014999452647790915980428039560316196013326841047050171569874738983582034879550390886387032200322476792540708583618421977195520665651827409500265623856201157521549889164782090497501048123654437456029634760494185238069755495495213768948102852255282262950890807867838062241468067003800492082151425082607862962279272169191407291502457483981975024791162561448252564443481131452698660741288905316405185871148587088967120217429913526898225124782945874180724222879176673070460438507412732506106340509536878505541494572344453938709790433404011285115288883095192505608185001064020723134521102394679315938235838495341014491582561113911333426627700135235514654067818631070726102913175896437962580330807581202323928647638226751955701825091539620172405267997435045561513945526770604898179934027948280722697555098279043226702267237510601798699000928990170513546909301794189707299535459899549780066566900202379802570772558152328290423465022232410529628370721029654530546762799932512356174998116510719525578105853624619057951079590057782132245556459774730582030589545542955745707117699763678874048929041982380781323650871804047122438617214374601279514111872078373344836437928135050759193747380083661519392559364735268274776005192561348833379824246799865799933286925487031609302087939896132428034892503272715922078074451745886513181096260158869865727576526630293814678750663558465899282271476406773012200153906241694756465894248461109952030440292124009792663262641996508307086169355289910709085470725174767092032626144392382433843143737258533678778306638090919015657329678621458694985640729664
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m1.102s
user	0m0.810s
sys	0m0.260s


************** PARI *****************
Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233)
Time: Wed Feb 18 18:50:41 2004

Input: 2^2000000

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.099s
user	0m20.940s
sys	0m0.070s


************** PARI *****************
Host roam129-129.student.harvard.edu. (140.247.129.129)
Time: Wed Feb 18 19:14:15 2004

Input: k=nfinit(x^3-2)
k.zk

Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:22:09 2004

Input: k=nfinit(x^3-2)
k.zk

Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:35:48 2004

Input: k=nfinit(x^2-3)
k.zk

Output: [x^2 - 3, [2, 0], 12, 1, [[1, -1.732050807568877293527446341; 1, 1.732050807568877293527446341], [1, 1; -1.732050807568877293527446341, 1.732050807568877293527446341], [2, 0.E-67; 0.E-67, 6.000000000000000000000000000], [2, 0; 0, 6], [6, 0; 0, 2], [6, 0; 0, 2], [6, [0, 2]~]], [-1.732050807568877293527446341, 1.732050807568877293527446341], [1, x], [1, 0; 0, 1], [1, 0, 0, 3; 0, 1, 1, 0]]
[1, x]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:36:16 2004

Input: k=nfinit(x^2+3)
k.zk

Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]]
[1, 1/2*x + 1/2]

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:36:44 2004

Input: k=nfinit(x^3-2)
k.zk

Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:36:58 2004

Input: k=nfinit(x^2-3)
k.zk

Output: [x^2 - 3, [2, 0], 12, 1, [[1, -1.732050807568877293527446341; 1, 1.732050807568877293527446341], [1, 1; -1.732050807568877293527446341, 1.732050807568877293527446341], [2, 0.E-67; 0.E-67, 6.000000000000000000000000000], [2, 0; 0, 6], [6, 0; 0, 2], [6, 0; 0, 2], [6, [0, 2]~]], [-1.732050807568877293527446341, 1.732050807568877293527446341], [1, x], [1, 0; 0, 1], [1, 0, 0, 3; 0, 1, 1, 0]]
[1, x]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:37:38 2004

Input: k=nfinit(x^2+3)
k.zk

Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]]
[1, 1/2*x + 1/2]

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam159-55.student.harvard.edu. (140.247.159.55)
Time: Wed Feb 18 19:37:52 2004

Input: k=nfinit(x^3-2)
k.zk

Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]
[1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:38:44 2004

Input: Z  := Integers();
Z3 := RSpace(Z,3);
M  := Hom(Z3, Z3);
A  := M ! [4, 7, 2, 2, 4, 6, 0, 0, 0];
print A;


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Z:=Integers();
                                ^------------

  ***   unexpected character: Z3:=RSpace(Z,3);
                                 ^-------------

  ***   unexpected character: M:=Hom(Z3,Z3);
                                ^------------

  ***   unexpected character: A:=M![4,7,2,2,4,6,0,0,
                                ^--------------------


Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:43:03 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
print x


Output: 
[4 7 2]

[2 4 6]

[0 0 0]

printx

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:43:18 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
matsnf(x)


Output: 
[4 7 2]

[2 4 6]

[0 0 0]

[0, 2, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:44:31 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
matsnf(x,1)


Output: 
[4 7 2]

[2 4 6]

[0 0 0]

[[0, 0, -1; 0, 1, 0; 1, 0, 0], [-17, -7, 2; 10, 4, -1; -1, 0, 0], [0, 0, 0; 0, 2, 0; 0, 0, 1]]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:50:39 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q

Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 0]

[0 2 0]

[0 0 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:51:09 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [1, 0, 0; 0, 1, 0; 0, 0, -1]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q

Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[1 0 0]

[0 1 0]

[0 0 -1]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 1]

[0 2 0]

[0 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:51:44 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
matsnf(x,1)


Output: 
[4 7 2]

[2 4 6]

[0 0 0]

[[0, 0, -1; 0, 1, 0; 1, 0, 0], [-17, -7, 2; 10, 4, -1; -1, 0, 0], [0, 0, 0; 0, 2, 0; 0, 0, 1]]

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:53:13 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 0]

[0 2 0]

[0 0 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:53:36 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, 1; 0, 1, 0; -1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 1]

[0 1 0]

[-1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 0]

[0 2 0]

[0 0 -1]


Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:53:53 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 0]

[0 2 0]

[0 0 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:54:42 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [1, 0, 0; 0, 1, 0; 0, 0, -1]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[1 0 0]

[0 1 0]

[0 0 -1]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 1]

[0 2 0]

[0 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:57:04 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
p*x*q


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 0]

[0 2 0]

[0 0 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:57:39 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
v = [0,0,1; 0,1,0; 1,0,0]
p*x*q*v


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 1]

[0 1 0]

[1 0 0]


[0 0 0]

[0 2 0]

[1 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:58:03 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
v = [0,0,1; 0,1,0; 1,0,0]
v*p*x*q*v


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 1]

[0 1 0]

[1 0 0]


[1 0 0]

[0 2 0]

[0 0 0]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 02:58:15 2004

Input: x = [ 4,7,2; 2,4,6; 0,0,0]
p = [0, 0, -1; 0, 1, 0; 1, 0, 0]
q = [-17, -7, 2; 10, 4, -1; -1, 0, 0]
v = [0,0,1; 0,1,0; 1,0,0]
v*p
q*v


Output: 
[4 7 2]

[2 4 6]

[0 0 0]


[0 0 -1]

[0 1 0]

[1 0 0]


[-17 -7 2]

[10 4 -1]

[-1 0 0]


[0 0 1]

[0 1 0]

[1 0 0]


[1 0 0]

[0 1 0]

[0 0 -1]


[2 -7 -17]

[-1 4 10]

[0 0 -1]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:14:44 2004

Input: P:=PolynomialRing(RationalField());
N:=NumberField(x^2+3);
O := MaximalOrder(N);
Discriminant(O)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: P:=PolynomialRing(Rati
                                ^--------------------

  ***   unexpected character: N:=NumberField(x^2+3);
                                ^--------------------

  ***   expected character: '(' instead of: O:=MaximalOrder(N);
                                             ^------------------

  ***   expected character: '(' instead of: Discriminant(O)
                                                          ^-


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:15:10 2004

Input: 4+4

Output: 8

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:15:18 2004

Input: 4+4;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.086s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:21:16 2004

Input: W = quadgen(5)


Output: w

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:21:24 2004

Input: w = quadgen(5)

Output: w

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:21:32 2004

Input: w = quadgen(5)
desc(w)

Output: w

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: desc(w)
                                                   ^


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:21:44 2004

Input: w = quadgen(5)
descriminant(w)

Output: w

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: descriminant(w)
                                                           ^


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:23:33 2004

Input: w = quadgen(5)
nfdisc(w)

Output: w

Errors (if any) and Timing Info:  ***   incorrect type in nfbasis00.

Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:23:42 2004

Input: w = quadgen(5)
disc(w)

Output: w

Errors (if any) and Timing Info:  ***   obsolete function: disc(w)
                           ^-------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: disc(x) ===> poldisc(x)

poldisc(x,{v}): discriminant of the polynomial x, with respect to main 
variable if v is omitted, with respect to v otherwise.



Timing:
real	0m0.081s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:27:54 2004

Input: w = quadgen(-3)

Output: w

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:28:20 2004

Input: w = quadgen(-3)
quadpoly(w)
quaddisc(w)

Output: w

Errors (if any) and Timing Info:  ***   not an integer argument in an arithmetic function
  ***   not an integer argument in an arithmetic function

Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:28:49 2004

Input: w = quadgen(-3)
quadpoly(-3)
quaddisc(-3)

Output: w
x^2 - x + 1
-3

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:28:58 2004

Input: w = quadgen(-3)
quadpoly(3)
quaddisc(3)

Output: w
12

Errors (if any) and Timing Info:  ***   discriminant not congruent to 0 or 1 mod 4 in quadpoly.

Timing:
real	0m0.073s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:29:49 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

Output: x^2 - x + 1
-3
12

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:32:18 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^3 - 2)

Output: x^2 - x + 1
-3
12
[x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:33:08 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^2+3)
nfinit(x^3 - 2)

Output: x^2 - x + 1
-3
12
[x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]]
[x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:35:13 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^2+3);
nf.zk
nfinit(x^3 - 2);

Output: x^2 - x + 1
-3
12

Errors (if any) and Timing Info:  ***   incorrect type in .zk: nf.zk
                                  ^--


Timing:
real	0m0.063s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:35:38 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^2+3);
zk
nfinit(x^3 - 2);

Output: x^2 - x + 1
-3
12
zk

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:35:47 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^2+3)

nfinit(x^3 - 2)

Output: x^2 - x + 1
-3
12
[x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]]
[x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 03:37:47 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^2-3)

nfinit(x^3 - 2)

Output: x^2 - x + 1
-3
12
[x^2 - 3, [2, 0], 12, 1, [[1, -1.732050807568877293527446341; 1, 1.732050807568877293527446341], [1, 1; -1.732050807568877293527446341, 1.732050807568877293527446341], [2, 0.E-67; 0.E-67, 6.000000000000000000000000000], [2, 0; 0, 6], [6, 0; 0, 2], [6, 0; 0, 2], [6, [0, 2]~]], [-1.732050807568877293527446341, 1.732050807568877293527446341], [1, x], [1, 0; 0, 1], [1, 0, 0, 3; 0, 1, 1, 0]]
[x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 03:44:16 2004

Input: x = [ 2, 1, 0; 1,-1,3; 0,0,0]
matsnf(x)

Output: 
[2 1 0]

[1 -1 3]

[0 0 0]

[0, 3, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam129-19.student.harvard.edu. (140.247.129.19)
Time: Thu Feb 19 04:30:21 2004

Input: quadpoly(-3)
quaddisc(-3)
quaddisc(3)

nfinit(x^2+3)

nfinit(x^3 - 2)

Output: x^2 - x + 1
-3
12
[x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]]
[x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.086s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ccd-mbras.uab.es. (158.109.70.154)
Time: Thu Feb 19 05:45:16 2004

Input: a:=5;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a:=5;
                                ^---


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:22:56 2004

Input: 1+1

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:36:01 2004

Input: bnf=bnfinit(x^3-2);


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.115s
user	0m0.110s
sys	0m0.010s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:45:10 2004

Input: nfbasis(x^2-3)



Output: [1, x]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:45:24 2004

Input: nfbasis(x^2+3)



Output: [1, 1/2*x + 1/2]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:45:44 2004

Input: nfbasis(x^3+2)



Output: [1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:47:51 2004

Input: nfbasis(x^3+2=0)



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: nfbasis(x^3+2=0)
                                           ^---


Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:47:57 2004

Input: nfbasis(x^3+2)



Output: [1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:48:05 2004

Input: nfbasis(x^3+9)



Output: [1, x, 1/3*x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam181-129.student.harvard.edu. (140.247.181.129)
Time: Thu Feb 19 06:48:28 2004

Input: nfbasis(x^3+2)



Output: [1, x, x^2]

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (62.81.239.122)
Time: Thu Feb 19 08:58:21 2004

Input: sdfsdf

Output: sdfsdf

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 4n33.math.upenn.edu. (130.91.49.169)
Time: Thu Feb 19 11:08:16 2004

Input: MinimalPolynomial(sqrt(2))


Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: MinimalPolynomial(
  ***   sqrt(2))
        ^--------


Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host ws1941401766.fujitsu.es. (194.140.17.66)
Time: Thu Feb 19 12:20:21 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ws1941401766.fujitsu.es. (194.140.17.66)
Time: Thu Feb 19 12:21:05 2004

Input: PQ<x> := PolynomialRing(RationalField());
N<w> := NumberField(x^2 - 3);
P := RingOfIntegers(N);

print P;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: PQ<x>:=PolynomialRing(Rat
                                   ^--------------------

  ***   unexpected character: N<w>:=NumberField(x^2-3)
                                  ^--------------------

  ***   unexpected character: P:=RingOfIntegers(N);
                                ^-------------------


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:17:24 2004

Input: binomial(2,10)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:17:36 2004

Input: binomial(1,1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:18:51 2004

Input: G = matdiagonal([2,2]); forsubgroup(H=G, 2, print(mathnf(concat(G,H))))

Output: [2, 1; 0, 1]
[1, 0; 0, 2]
[2, 0; 0, 1]
[1, 0; 0, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:21:16 2004

Input: solve(x = 1, 2, tan(x))

Output: 1.570796326794896619231321692

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:29:47 2004

Input: f(x) = x*x

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:30:02 2004

Input: f(x) = x*x; 
f(2)

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:33:37 2004

Input: f(x) = x*x; 
f(2);
bezout(8,12);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:33:49 2004

Input: 
bezout(8,12)

Output: [-1, 1, 4]

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:34:28 2004

Input: bezout(8,12);
bezout(8,812);
bezout(8,2);
bezout(8,1);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:34:53 2004

Input: bezout(8,12); bezout(8,812);

bezout(8,1);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:34:57 2004

Input: bezout(8,12); bezout(8,812);



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:35:09 2004

Input: bezout(8,12); 
3 + 5



Output: 8

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:37:46 2004

Input: 
core(12);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:37:57 2004

Input: z = core(12)

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:40:56 2004

Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ]

Output: 
[4 2 2]

[2 4 2]

[2 2 4]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:41:17 2004

Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ];
qfjacobi(A)

Output: [[8.000000000000000000000000000, 2.000000000000000000000000000, 2.000000000000000000000000000]~, [0.5773502691896257645091487805, -0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487805, 0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487804, 0.E-28, 0.8164965809277260327324280249]]

Errors (if any) and Timing Info:
Timing:
real	0m0.105s
user	0m0.040s
sys	0m0.060s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:41:31 2004

Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ];
qfjacobi(A);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:41:36 2004

Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ];
qfjacobi(A)

Output: [[8.000000000000000000000000000, 2.000000000000000000000000000, 2.000000000000000000000000000]~, [0.5773502691896257645091487805, -0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487805, 0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487804, 0.E-28, 0.8164965809277260327324280249]]

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:41:44 2004

Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ]
qfjacobi(A)

Output: 
[4 2 2]

[2 4 2]

[2 2 4]

[[8.000000000000000000000000000, 2.000000000000000000000000000, 2.000000000000000000000000000]~, [0.5773502691896257645091487805, -0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487805, 0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487804, 0.E-28, 0.8164965809277260327324280249]]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:43:04 2004

Input: f (x )=x +1
g (x )=x^2
for(n =1 ,5,print(f (n )+g (n ))

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...or(n=1,5,print(f(n)+g(n))
                                                                        ^


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:43:50 2004

Input: f(x)=x +1
g(x)=x^2
for(n = 1, 5, print(f(n)+ g(n))

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...or(n=1,5,print(f(n)+g(n))
                                                                        ^


Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:44:07 2004

Input: f(x)= x+1


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:44:18 2004

Input: f(x)= x+1
g(x)= x^2


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:44:33 2004

Input: f(x)= x+1
g(x)= x^2
f(1) , g(1)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: f(1),g(1)
                               ^-----


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:45:01 2004

Input: f(x) = x + 1
g(x) = x^2
f(1)


Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:45:09 2004

Input: f(x) = x + 1
g(x) = x^2
f(1) g(2)


Output: 
Errors (if any) and Timing Info:  ***   unused characters: f(1)g(2)
                               ^----


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:45:15 2004

Input: f(x) = x + 1
g(x) = x^2
f(1) 
g(2)


Output: 2
4

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:45:34 2004

Input: f(x) = x + 1
g(x) = x^2
f(1) 
for(n = 1, 5, print(f(n)+ g(n))


Output: 2

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...or(n=1,5,print(f(n)+g(n))
                                                                        ^


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:45:49 2004

Input: f(x) = x + 1
g(x) = x^2
f(1) 
for(n = 1, 5, print(f(n)+ g(n)))


Output: 2
3
7
13
21
31

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:46:02 2004

Input: f(x) = x + 1
g(x) = x^2
 
for(n = 1, 5, print(f(n)+ g(n)))


Output: 3
7
13
21
31

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.010s
sys	0m0.060s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:46:54 2004

Input: f(x) = x + 1
g(x) = x^2
 
forprime(n = 1, 5, print(f(n)+ g(n)))


Output: 7
13
31

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:47:12 2004

Input: f(x) = x + 1
g(x) = x^2
 
forprime(n = 100, 111, print(f(n)+ g(n)))


Output: 10303
10713
11557
11991

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:47:27 2004

Input: f(x) = x + 1
g(x) = x^2
 
forprime(n = 100, 111, print(f(n)+ g(n), n))


Output: 10303101
10713103
11557107
11991109

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:47:39 2004

Input: f(x) = x + 1
g(x) = x^2
 
forprime(n = 100, 111, print(f(n)+ g(n)," ", n))


Output: 10303 101
10713 103
11557 107
11991 109

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9543BA3.dip.t-dialin.net. (217.84.59.163)
Time: Thu Feb 19 14:50:41 2004

Input: chinese(Mod(2,3),Mod(3,5))

Output: Mod(8, 15)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb 19 16:43:27 2004

Input: x*(x+1)*(0.028x+1)


Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: x*(x+1)*(0.028x+1)
                                                          ^----


Timing:
real	0m0.058s
user	0m0.010s
sys	0m0.050s


************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb 19 16:43:47 2004

Input: x*(x+1)*(0.028*x+1)


Output: 0.02799999999999999999999999999*x^3 + 1.028000000000000000000000000*x^2 + x

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb 19 17:33:57 2004

Input: x*(x+1)*(x^2+2*x+5)

Output: x^4 + 3*x^3 + 7*x^2 + 5*x

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Feb 19 21:41:10 2004

Input: factor(398)

Output: 
[2 1]

[199 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host grewebdproxy1.net.external.hp.com. (192.6.111.72)
Time: Fri Feb 20 04:10:36 2004

Input: GCD(9,3);

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: GCD(9,3);
                                                        ^---------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host sisiphos.math.unifi.it. (150.217.33.46)
Time: Fri Feb 20 06:17:35 2004

Input: C := CartanMatrix( "A_5" );
C;


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: C:=CartanMatrix("A_5")
                                ^--------------------


Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host sisiphos.math.unifi.it. (150.217.33.46)
Time: Fri Feb 20 06:41:28 2004

Input: GL2 := GeneralLinearGroup(2, R) 
x := GL2 ! [1,0, 0,1];


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: GL2:=GeneralLinearGroup(
                                  ^--------------------

  ***   unexpected character: x:=GL2![1,0,0,1];
                                ^---------------


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:48:53 2004

Input: 
{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

print1(smarandache(6))

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ms[i]=findm(f[i,1],f[i,2]));vecma
                                                         ^--------------------


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:49:38 2004

Input: {
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}


for (i=1,100,print1(smarandache(i)","))

Output: 1,

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ms[i]=findm(f[i,1],f[i,2]));vecma
                                                         ^--------------------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:50:18 2004

Input: {
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))

for (i=1,100,print1(smarandache(i)","))}

Output: 
Errors (if any) and Timing Info:  ***   unused characters: ...i,1],f[i,2]));vecmax(ms))for(i=1,100,print1(s
                                                       ^--------------------


Timing:
real	0m0.064s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:50:59 2004

Input: {
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
for (i=1,100,print1(smarandache(i)","))
}

Output: 
Errors (if any) and Timing Info:  ***   unused characters: ...i,1],f[i,2]));vecmax(ms))for(i=1,100,print1(s
                                                       ^--------------------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:51:22 2004

Input: 
{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:51:49 2004

Input: 
for (i=1,100,print1(smarandache(i)","))

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: print1(smarandache(i)","))
                                                                 ^-----


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Fri Feb 20 13:56:10 2004

Input: for(i=1,2000,if(i!%3^333==0,print1(i);break))

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:36:56 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:37:26 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
2^(1/2)


Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
1.414213562373095048801688724

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:38:14 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
?


Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^


Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:38:50 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
?
?6



Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

bnfcertify         bnfclassunit       bnfclgp            bnfdecodemodule
bnfinit            bnfisintnorm       bnfisnorm          bnfisprincipal
bnfissunit         bnfisunit          bnfmake            bnfnarrow
bnfreg             bnfsignunit        bnfsunit           bnfunit
bnrL1              bnrclass           bnrclassno         bnrclassnolist
bnrconductor       bnrconductorofchar bnrdisc            bnrdisclist
bnrinit            bnrisconductor     bnrisprincipal     bnrrootnumber
bnrstark           dirzetak           factornf           galoisfixedfield
galoisinit         galoispermtopol    galoissubcyclo     idealadd
idealaddtoone      idealappr          idealchinese       idealcoprime
idealdiv           idealfactor        idealhnf           idealintersect
idealinv           ideallist          ideallistarch      ideallog
idealmin           idealmul           idealnorm          idealpow
idealprimedec      idealprincipal     idealred           idealstar
idealtwoelt        idealval           ideleprincipal     matalgtobasis
matbasistoalg      modreverse         newtonpoly         nfalgtobasis
nfbasis            nfbasistoalg       nfdetint           nfdisc
nfeltdiv           nfeltdiveuc        nfeltdivmodpr      nfeltdivrem
---- (type return to continue) ----
nfeltmod           nfeltmul           nfeltmulmodpr      nfeltpow
nfeltpowmodpr      nfeltreduce        nfeltreducemodpr   nfeltval
nffactor           nffactormod        nfgaloisapply      nfgaloisconj
nfhilbert          nfhnf              nfhnfmod           nfinit
nfisideal          nfisincl           nfisisom           nfkermodpr
nfmodprinit        nfnewprec          nfroots            nfrootsof1
nfsnf              nfsolvemodpr       nfsubfields        polcompositum
polgalois          polred             polredabs          polredord
poltschirnhaus     rnfalgtobasis      rnfbasis           rnfbasistoalg
rnfcharpoly        rnfconductor       rnfdedekind        rnfdet
rnfdisc            rnfeltabstorel     rnfeltdown         rnfeltreltoabs
rnfeltup           rnfequation        rnfhnfbasis        rnfidealabstorel
rnfidealdown       rnfidealhnf        rnfidealmul        rnfidealnormabs
rnfidealnormrel    rnfidealreltoabs   rnfidealtwoelt     rnfidealup
rnfinit            rnfisfree          rnfisnorm          rnfkummer
rnflllgram         rnfnormgroup       rnfpolred          rnfpolredabs
rnfpseudobasis     rnfsteinitz        subgrouplist       zetak
zetakinit          


Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^


Timing:
real	0m0.079s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:39:03 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
?
?6
6


Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

bnfcertify         bnfclassunit       bnfclgp            bnfdecodemodule
bnfinit            bnfisintnorm       bnfisnorm          bnfisprincipal
bnfissunit         bnfisunit          bnfmake            bnfnarrow
bnfreg             bnfsignunit        bnfsunit           bnfunit
bnrL1              bnrclass           bnrclassno         bnrclassnolist
bnrconductor       bnrconductorofchar bnrdisc            bnrdisclist
bnrinit            bnrisconductor     bnrisprincipal     bnrrootnumber
bnrstark           dirzetak           factornf           galoisfixedfield
galoisinit         galoispermtopol    galoissubcyclo     idealadd
idealaddtoone      idealappr          idealchinese       idealcoprime
idealdiv           idealfactor        idealhnf           idealintersect
idealinv           ideallist          ideallistarch      ideallog
idealmin           idealmul           idealnorm          idealpow
idealprimedec      idealprincipal     idealred           idealstar
idealtwoelt        idealval           ideleprincipal     matalgtobasis
matbasistoalg      modreverse         newtonpoly         nfalgtobasis
nfbasis            nfbasistoalg       nfdetint           nfdisc
nfeltdiv           nfeltdiveuc        nfeltdivmodpr      nfeltdivrem
---- (type return to continue) ----
nfeltmod           nfeltmul           nfeltmulmodpr      nfeltpow
nfeltpowmodpr      nfeltreduce        nfeltreducemodpr   nfeltval
nffactor           nffactormod        nfgaloisapply      nfgaloisconj
nfhilbert          nfhnf              nfhnfmod           nfinit
nfisideal          nfisincl           nfisisom           nfkermodpr
nfmodprinit        nfnewprec          nfroots            nfrootsof1
nfsnf              nfsolvemodpr       nfsubfields        polcompositum
polgalois          polred             polredabs          polredord
poltschirnhaus     rnfalgtobasis      rnfbasis           rnfbasistoalg
rnfcharpoly        rnfconductor       rnfdedekind        rnfdet
rnfdisc            rnfeltabstorel     rnfeltdown         rnfeltreltoabs
rnfeltup           rnfequation        rnfhnfbasis        rnfidealabstorel
rnfidealdown       rnfidealhnf        rnfidealmul        rnfidealnormabs
rnfidealnormrel    rnfidealreltoabs   rnfidealtwoelt     rnfidealup
rnfinit            rnfisfree          rnfisnorm          rnfkummer
rnflllgram         rnfnormgroup       rnfpolred          rnfpolredabs
rnfpseudobasis     rnfsteinitz        subgrouplist       zetak
zetakinit          


Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:39:17 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
?
?6
6
help 6

Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

bnfcertify         bnfclassunit       bnfclgp            bnfdecodemodule
bnfinit            bnfisintnorm       bnfisnorm          bnfisprincipal
bnfissunit         bnfisunit          bnfmake            bnfnarrow
bnfreg             bnfsignunit        bnfsunit           bnfunit
bnrL1              bnrclass           bnrclassno         bnrclassnolist
bnrconductor       bnrconductorofchar bnrdisc            bnrdisclist
bnrinit            bnrisconductor     bnrisprincipal     bnrrootnumber
bnrstark           dirzetak           factornf           galoisfixedfield
galoisinit         galoispermtopol    galoissubcyclo     idealadd
idealaddtoone      idealappr          idealchinese       idealcoprime
idealdiv           idealfactor        idealhnf           idealintersect
idealinv           ideallist          ideallistarch      ideallog
idealmin           idealmul           idealnorm          idealpow
idealprimedec      idealprincipal     idealred           idealstar
idealtwoelt        idealval           ideleprincipal     matalgtobasis
matbasistoalg      modreverse         newtonpoly         nfalgtobasis
nfbasis            nfbasistoalg       nfdetint           nfdisc
nfeltdiv           nfeltdiveuc        nfeltdivmodpr      nfeltdivrem
---- (type return to continue) ----
nfeltmod           nfeltmul           nfeltmulmodpr      nfeltpow
nfeltpowmodpr      nfeltreduce        nfeltreducemodpr   nfeltval
nffactor           nffactormod        nfgaloisapply      nfgaloisconj
nfhilbert          nfhnf              nfhnfmod           nfinit
nfisideal          nfisincl           nfisisom           nfkermodpr
nfmodprinit        nfnewprec          nfroots            nfrootsof1
nfsnf              nfsolvemodpr       nfsubfields        polcompositum
polgalois          polred             polredabs          polredord
poltschirnhaus     rnfalgtobasis      rnfbasis           rnfbasistoalg
rnfcharpoly        rnfconductor       rnfdedekind        rnfdet
rnfdisc            rnfeltabstorel     rnfeltdown         rnfeltreltoabs
rnfeltup           rnfequation        rnfhnfbasis        rnfidealabstorel
rnfidealdown       rnfidealhnf        rnfidealmul        rnfidealnormabs
rnfidealnormrel    rnfidealreltoabs   rnfidealtwoelt     rnfidealup
rnfinit            rnfisfree          rnfisnorm          rnfkummer
rnflllgram         rnfnormgroup       rnfpolred          rnfpolredabs
rnfpseudobasis     rnfsteinitz        subgrouplist       zetak
zetakinit          

help6

Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:39:36 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
#6

Output: 
Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^

  ***   unexpected character: #6
                               ^-


Timing:
real	0m0.060s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:39:51 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
#6

Output: 
Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^

  ***   unexpected character: #6
                               ^-


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ma3-419.postech.ac.kr. (141.223.32.146)
Time: Sat Feb 21 01:39:59 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!
?


Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...click [PARI] or [MAGMA]!
                                                                       ^


Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host lsanca1-ar47-4-33-128-253.lsanca1.dsl-verizon.net. (4.33.128.253)
Time: Sat Feb 21 03:12:07 2004

Input: ;lkn

Output: lkn

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host cache-frr-ab01.proxy.aol.com. (195.93.73.6)
Time: Sat Feb 21 08:00:35 2004

Input: 4+2

Output: 6

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (61.0.137.13)
Time: Sat Feb 21 13:39:44 2004

Input: TAPAN GHOSH
ACCOUNT NO.973692
ACCOUNT TYPE. CONSUMER LOAN
ASSET FINANCED. ASSEMBLED PC
PRODUCT.MD-MAGMA-DURABLE
BOOKING DATE. 28-AUG-2002

Output: TAPANGHOSH

Errors (if any) and Timing Info:  ***   unknown member function: ACCOUNTNO.973692
                                           ^------

  ***   unknown member function: ACCOUNTTYPE.CONSUMERLOAN
                                             ^------------

  ***   unknown member function: ASSETFINANCED.ASSEMBLEDPC
                                               ^-----------

  ***   unknown member function: PRODUCT.MD-MAGMA-DURABLE
                                         ^----------------

  ***   unknown member function: BOOKINGDATE.28-AUG-2002
                                             ^-----------


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 134-236-ADSL.red.retevision.es. (80.224.236.134)
Time: Sat Feb 21 13:45:02 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host nscvgca1.rs1.nuria.telefonica-data.net. (213.0.242.40)
Time: Sat Feb 21 14:44:48 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host nscvgca1.rs1.nuria.telefonica-data.net. (213.0.242.40)
Time: Sat Feb 21 14:45:14 2004

Input: abc 1 2

Output: abc12

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-66-176-63-146.se.client2.attbi.com. (66.176.63.146)
Time: Sun Feb 22 09:57:18 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 12:55:04 2004

Input: p:=3;


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: p:=3;
                                ^---


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 12:57:35 2004

Input: p=3;


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 12:57:43 2004

Input: p=3;
print(p);

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 12:59:02 2004

Input: p=19259080382453841122679088710848926436527873;
a=89213102615023533314496249400381124216642939896548619296666391544357403574914698073115920663355909193867030042795676972968093;
print(p+1 - ellap(ellinit([0,0,0,a,1]),p));

Output: 
Errors (if any) and Timing Info:  ***   precision loss in truncation

Timing:
real	0m0.097s
user	0m0.070s
sys	0m0.030s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 12:59:41 2004

Input: p=19259080382453841122679088710848926436527873;
a=89213102615023533314496249400381124216642939896548619296666391544357403574914698073115920663355909193867030042795676972968093;
p=101;
a=1913;
print(p+1 - ellap(ellinit([0,0,0,a,1]),p));

Output: 112

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host csenh125pc12a.uta.edu. (129.107.55.36)
Time: Sun Feb 22 15:35:04 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 18:11:51 2004

Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
p=19259080382453841122679088710848926436527873


Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
19259080382453841122679088710848926436527873

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 18:12:12 2004

Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
p=19259080382453841122679088710848926436527873
p+1-ellap(ellinit([0,0,0,A,B]),p)

Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
19259080382453841122679088710848926436527873

Errors (if any) and Timing Info:  ***   precision loss in truncation

Timing:
real	0m0.093s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 18:12:48 2004

Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
p=19259080382453841122679088710848926436527873
p 130
p+1-ellap(ellinit([0,0,0,A,B]),p)

Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
19259080382453841122679088710848926436527873
p130

Errors (if any) and Timing Info:  ***   precision loss in truncation

Timing:
real	0m0.094s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Sun Feb 22 18:12:54 2004

Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
p=19259080382453841122679088710848926436527873
p 130
p+1-ellap(ellinit([0,0,0,A,B]),p)

Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410
74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073
19259080382453841122679088710848926436527873
p130

Errors (if any) and Timing Info:  ***   precision loss in truncation

Timing:
real	0m0.095s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host cache.cc.tut.fi. (130.230.1.90)
Time: Mon Feb 23 03:52:22 2004

Input: 2*2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host cache.cc.tut.fi. (130.230.1.90)
Time: Mon Feb 23 03:52:30 2004

Input: =2*2

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: =2*2
                              ^----


Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host cache.cc.tut.fi. (130.230.1.90)
Time: Mon Feb 23 03:52:35 2004

Input: 2*2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pD9022C5A.dip.t-dialin.net. (217.2.44.90)
Time: Mon Feb 23 04:38:45 2004

Input: K:=GF(2);
Pa<a,b,c,d>:=PolynomialRing(K,4);
IG:=ideal<Pa|[a*d-b*c-1]>;
A:=[[a,b,0,0,0,0,0,0],[c,d,0,0,0,0,0,0],[0,0,a,b,0,0,0,0],[0,0,c,d,0,0,0,0],[0,0,0,0,a,b,0,0],[0,0,0,0,c,d,0,0],[0,0,0,0,0,0,a,b],[0,0,0,0,c,d]];
P<x1,y1,x2,y2,x3,y3,x4,y4>:=PolynomialRing(K,8);

f1:=x2*y3+x3*y2;
f2:=x1*y3+x3*y1;
f3:=x1*y2+x2*y1;

I:=ideal<P|[f1,f2,f3]>;
Dimension(I);
// Falls Erg. 8-3=5, dann phsop
//Ergebnis: 6


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K:=GF(2);
                                ^-------

  ***   unused characters: Pa<a,b,c,d>:=PolynomialR
                               ^--------------------

  ***   unexpected character: IG:=ideal<Pa|[a*d-b*c-1
                                 ^--------------------

  ***   unexpected character: A:=[[a,b,0,0,0,0,0,0],
                                ^--------------------

  ***   unused characters: P<x1,y1,x2,y2,x3,y3,x4,y
                               ^--------------------

  ***   unexpected character: f1:=x2*y3+x3*y2;
                                 ^-------------

  ***   unexpected character: f2:=x1*y3+x3*y1;
                                 ^-------------

  ***   unexpected character: f3:=x1*y2+x2*y1;
                                 ^-------------

  ***   unexpected character: I:=ideal<P|[f1,f2,f3]>
                                ^--------------------

  ***   unknown function or error in formal parameters: Dimension(I);
                                                                  ^---

  ***   unexpected character: //FallsErg.8-3=5,dan
                              ^--------------------

  ***   unexpected character: //Ergebnis:6
                              ^------------


Timing:
real	0m0.113s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host webgate.cscploenzke.de. (194.45.150.17)
Time: Mon Feb 23 07:12:02 2004

Input: 2^100000

Output: 9990020930143845079440327643300335909804291390541816917715292738631458324642573483274873313324496504031643944455558549300187996607656176562908471354247492875198889629873671093246350427373112479265800278531241088737085605287228390164568691026850675923517914697052857644696801524832345475543250292786520806957770971741102232042976351205330777996897925116619870771785775955521720081320295204617949229259295623920965797873558158667525495797313144806249260261837941305080582686031535134178739622834990886357758062104606636372130587795322344972010808486369541401835851359858035603574021872908155566580607186461268972839794621842267579349638893357247588761959137656762411125020708704870465179396398710109200363934745618090601613377898560296863598558024761448933047052222860131377095958357319485898496404572383875170702242332633436894423297381877733153286944217936125301907868903603663283161502726139934152804071171914923903341874935394455896301292197256417717233543544751552379310892268182402452755752094704642185943862865632744231332084742221551493315002717750064228826211822549349600557457334964678483269180951895955769174509673224417740432840455882109137905375646772139976621785265057169854834562487518322383250318645505472114369934167981678170255122812978065194806295405339154657479941297499190348507544336414505631657396006693382427316434039580121280260984212247514207834712224831410304068603719640161855741656439472253464945249700314509890093162268952744428705476425472253167514521182231455388374308232642200633025137533129365164341725206256155311794738619142904761445654927128418175183531327052975495370561438239573227939673030106077456848477427832195349227983836436163764742969545906672369124136325932123335643135894465219101882123829740907916386023235450959388766736403229577993901152154448003637215069115591111996001530589107729421032230424262035693493216052927569625858445822354594645276923108197305806280326516736449343761732409753342333289730282959173569273013286423311759605230495171677033163709522256952460402143387655197644016528148022348331881097559421960476479388520198541017348985948511005469246617234143135309938405923268953586538886974427008607028635502085562029549352480050796521564919683265106744100967822951954161617717542997520009887307377876210685890770969411610438028623950445323789591870760289260393489826100774887672852918106468489143893649064784591211612193300707900537059042188012856559403699070888032966871611655961232331998310923225082866180321880439447572986762096935819784385927969250123326935194693207724335527365566248223787833888074999276831633440318604463618703789784313032843823470410944306591471928341190975185239212327674384990561563688432939039442002617530976850605132937101449086396141620556053547335569926700941375271829142407234267937565069765567475934101310225342830080409079587329544213551307302050171598424230760469209732907290141606353960880559202357376885647852240092777111489134492416995607171786298436533978180869474106751111353523711540436599310889697485658800887861974934357929246204051767246012250618404011966289872673803070498361217974484679100747846356194664829224736134115135567179291781968056053726484141128347858241259121954601184412409349782963317042002530418661694962318735860652485410222211869544223788289189712080514575141361964805369723164570564998479537657174548128597406077339158775332355215609435919275199351014222246963017013717419337504919295363295101115292951836282819191821651676455946515828048984256116748150367805267878662716999649296949377045794876146628110929982020737013330324451005385378551188803474148198665114579322684900993000236736168555294173442059925371965244997925483159343706343970371809611470323074186985035054722289027174850333368328300281132910841693150457389933183934593292994942796015309756118708918929528449074243284767006243171171622731766606796101967802204564589015899524704741001158110963633731329388356868949408759334176909387806398584647300588928175998844477486130063153068760070084837267527789777356830042778902772105683833021470279728595336332110564064263909724579949686162908019604141753935768876587992428549912151737924270343248648414247456838889541893241450987505759403013249697541696955330296880219304874163501097920036210238768275176369980977614979636096704348140124130683576879904997436596296495705459524735382000363770324894982103331332913562315169854410415317054193928234723398848453552173203688088312100943941434938282203549650281530751087098604681224802973825631244989331965296202372608586509050307993308652001231671915182765742095689513136184095412121473786311042897717861448158316965848766949554826252504961227044714712229620274682362909803877469376987358942125441792355298387479830450253909788733469732603097544156474805473732732767248652759034995336354126953900458854988683574927864615252040800490114785892289085443353996994780867471613519785838571456421583171193004117989440790268346357550339888086725127883577297626499213827436573992927302238792576924232785487201297255386071968303782483063725899808484638503828356258403917311872694381464553651690062530023217591343084755215901475299149215296944362366910833233693767993138209275870024246238331218236715236772098417187703860172308522448043176333602759733161201262248323085329288986154559221427378507410978822244729512663572225567169779409767341543017289268332635077451210167869121334465680739797372711461919299938118178827541421792926883790285430909942441260511945849237909966329550263865701114884142266162969810073652710928504579470861508094054577797864301504899958634164700528220562786008864025709432444254044034243140203812074857537999016066465520986980790589347320243050635907363821521280600041827529325485247927904235727598574209554632363830932428250711518801775633739811523761994686263270550635099851254333875594601540900862014293625673738331693082328854327001487476635118830885173775268819526360165345900556160767713453617655450974424979076063906093300028416964847594027046669468486593636425428625241644836652173922586528474244952363302305311413449332339822336551611431469131900170488226836525916399723912626616140205707996727383529597479125488961419287261259757561701592645823541151922177253919651034344793680369057003813056557866311011476313189571556336518727757991908862890765494952019474922148851417079252352394293801701149485239005844358329748769279941586384640877265901749104933238853465429979253900561311562288241147192158137210120267399648622831610430287268739840335142120299516610846193164688075944526965248570070554452152547493450434852917987512185973647190461515413582582139040172118295702327537027389787793506904044938553587650503557155872873201596885061331145477101575699375441097493374115991199114962726801718038950907803041184400075585468560976965669584325627283327416418044590727844680051360774154288412712456353383625469068936430902068216750459819321744513362913853983154560610459692604508787700304184579153478291725762810632722108035826060904572460619204237580363147200158749075361633785243462298769917887808671453928846572417223504887766803869453474588831907597355292800709241471370696647029530700507083091412492771404776193459007315206233634226128137074504162520473449597415678882003845446774388950379192344594171245510231738995030348421937088083329709108176561010708693158020695060096428352046647333361163476664106311247065173802510599409266908984046663298613648854871230659903565772327667696057187057276814394932559371368029375974604116075641599919402266794230681485723361363592903676841480358328093127506801111571615062761556607158236612268544268330274725849294875852089790850962835235527978491475563744318483993474633300330972497012808415900969455190375849945750379465019166009861502794606130794726898507849610303884846035423392175449505876157130344700415823080225786693300512126831846009510203543174323783292176865976076275412421892808138872880175813109296020150746331979561488146333412674896256883784351178477592660577212734269328382384711746083782209939646612308343952169576581065423771981899573840430315930973215059901371218399762585055435459516340055149080565627330475362528926945020226163130902420795006258931367813005222140742964756194053782182452833097021554210929638693005460011927178302761563505715735405672652524175925436371863471836292012162456662093642074605500842449347289830619506077570528754845277680661218358066130291463288932240701043887535007851997159198390084654596996197138399723495863749806582439384615049184048485819193560667125968018574877819561104335238420873417743385185735663101292757409280586840011804854994149478736882949368786637202682607198707656286436753775709560349718397405565505269425218354301348910785234517795519757516484711545928466003754558485470994737493796615841040414239875763335201795518644856632201598556341934286668912522153446348791218159622744525372314219184738770596659942181275403613660438538829201810204850917717791485256026242529802492309229562177062770027659288158473994804255067730903420043491632913588644627415318468517462580180901314477358637486528221274450661883667873545037139535563260349778209992416559111602097437491432360787879331015052417047437823553506205617017572175387061751192919715660363028302343819584946594328460482931960515124867123604625653903565173322856758210937541222674223847046664733620292824834065137814475367747671882220098389682019784216724015491253360436437847479770633657905418133523010804559958547379685864708937791659340223795537045273849435441105983887969741143051069401271065628507537039823308867819868298171415185218271493613110963984021912448323423901392553811725954153209435002954807640291982765741514042956666953177304003358701503703497424897898108939453026976878231557938158928996868766367603579055322794822757659104812835219745724022347569914650240636730492833286151875049129873457930874999488048681250802904606446223569562767964898914869924201946458521355165709887118378290437174375625282606140534611987395334677500936625746765638459629521872262777473480491233965194281353725068660782076683862565487279038020486778099991
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.410s
user	0m0.270s
sys	0m0.100s


************** PARI *****************
Host webgate.cscploenzke.de. (194.45.150.17)
Time: Mon Feb 23 07:12:29 2004

Input: 2^1000000

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.152s
user	0m20.750s
sys	0m0.260s


************** PARI *****************
Host webgate.cscploenzke.de. (194.45.150.17)
Time: Mon Feb 23 07:12:51 2004

Input: 2^1000

Output: 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host webgate.cscploenzke.de. (194.45.150.17)
Time: Mon Feb 23 07:13:09 2004

Input: Factor(14324523532453462362346234656)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Factor(1432452353245
                                                        ^--------------------


Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host aula-b-siee108.uab.es. (158.109.66.108)
Time: Mon Feb 23 11:52:29 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host aula-b-siee108.uab.es. (158.109.66.108)
Time: Mon Feb 23 11:52:42 2004

Input: hola

Output: hola

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dmzdeakn.cse.l-3com.com. (166.20.26.131)
Time: Mon Feb 23 13:32:01 2004

Input: 2 * 2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dmzdeakn.cse.l-3com.com. (166.20.26.131)
Time: Mon Feb 23 13:32:18 2004

Input: 2*2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Feb 23 14:03:49 2004

Input: x:=10;

ShowIndentifiers();

ShowValues();

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x:=10;
                                ^----

  ***   expected character: '=' instead of: ShowIndentifiers();
                                                              ^-

  ***   expected character: '=' instead of: ShowValues();
                                                        ^-


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host weyl.math.pitt.edu. (136.142.126.200)
Time: Mon Feb 23 14:25:49 2004

Input: w =quadgen(-23);


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host weyl.math.pitt.edu. (136.142.126.200)
Time: Mon Feb 23 14:26:02 2004

Input: w =quadgen(-23);
print w^3;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host weyl.math.pitt.edu. (136.142.126.200)
Time: Mon Feb 23 14:26:09 2004

Input: w =quadgen(-23);
print w^3;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host weyl.math.pitt.edu. (136.142.126.200)
Time: Mon Feb 23 14:26:16 2004

Input: w =quadgen(-23);
w^3;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host weyl.math.pitt.edu. (136.142.126.200)
Time: Mon Feb 23 14:26:21 2004

Input: w =quadgen(-23);
w^3

Output: -6 - 5*w

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:30:30 2004

Input: (x=y)^(.5)

Output: 
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:31:32 2004

Input: factorint(12333345666790)

Output: 
[2 1]

[5 1]

[37 1]

[33333366667 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:34:23 2004

Input: factorint(3494487845306481075093315600749304691200)

Output: 
[2 9]

[3 3]

[5 2]

[1483 1]

[6818182935355481481273326872669 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:38:46 2004

Input: factorint(75871693802713797386369191426742800771304395043277326055125100897851220991378671072700656000000000000)

Output: 
[2 16]

[3 2]

[5 12]

[7 1]

[223 1]

[13177 1]

[18289 1]

[4932827 1]

[283930465256340723243633243128758733270641876563976373149185545775989 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.108s
user	0m0.080s
sys	0m0.030s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:40:05 2004

Input: j(-210)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: j(-210)
                                                        ^-------


Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host nom5070it.nomadic.ncsu.edu. (152.7.237.59)
Time: Mon Feb 23 20:55:40 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:58:08 2004

Input: ?3

Output: 
Euler       I           Pi          abs         acos        acosh
agm         arg         asin        asinh       atan        atanh
bernfrac    bernreal    bernvec     besseljh    besselk     cos
cosh        cotan       dilog       eint1       erfc        eta
exp         gamma       gammah      hyperu      incgam      incgamc
lngamma     log         polylog     psi         sin         sinh
sqr         sqrt        sqrtn       tan         tanh        teichmuller
theta       thetanullk  weber       zeta        


Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:58:39 2004

Input: ?5

Output: 
elladd          ellak           ellan           ellap
ellbil          ellchangecurve  ellchangepoint  elleisnum
elleta          ellglobalred    ellheight       ellheightmatrix
ellinit         ellisoncurve    ellj            elllocalred
elllseries      ellorder        ellordinate     ellpointtoz
ellpow          ellrootno       ellsigma        ellsub
elltaniyama     elltors         ellwp           ellzeta
ellztopoint     


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 20:59:39 2004

Input: ellj(-210)

Output: 
Errors (if any) and Timing Info:  ***   argument must belong to upper half-plane.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:00:20 2004

Input: ellj((-210)^.5)

Output: 3.494487845306481075034201379 E39 + 0.E11*I

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:00:47 2004

Input: ?5

Output: 
elladd          ellak           ellan           ellap
ellbil          ellchangecurve  ellchangepoint  elleisnum
elleta          ellglobalred    ellheight       ellheightmatrix
ellinit         ellisoncurve    ellj            elllocalred
elllseries      ellorder        ellordinate     ellpointtoz
ellpow          ellrootno       ellsigma        ellsub
elltaniyama     elltors         ellwp           ellzeta
ellztopoint     


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:01:22 2004

Input: ?4

Output: 
addprimes     bestappr      bezout        bezoutres     bigomega
binomial      chinese       content       contfrac      contfracpnqn
core          coredisc      dirdiv        direuler      dirmul
divisors      eulerphi      factor        factorback    factorcantor
factorff      factorial     factorint     factormod     ffinit
fibonacci     gcd           hilbert       isfundamental isprime
ispseudoprime issquare      issquarefree  kronecker     lcm
moebius       nextprime     numdiv        omega         precprime
prime         primes        qfbclassno    qfbcompraw    qfbhclassno
qfbnucomp     qfbnupow      qfbpowraw     qfbprimeform  qfbred
quadclassunit quaddisc      quadgen       quadhilbert   quadpoly
quadray       quadregulator quadunit      removeprimes  sigma
sqrtint       znlog         znorder       znprimroot    znstar


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:02:30 2004

Input: ?2

Output: 
List        Mat         Mod         Pol         Polrev      Qfb
Ser         Set         Str         Vec         binary      bitand
bitneg      bitnegimply bitor       bittest     bitxor      ceil
centerlift  changevar   component   conj        conjvec     denominator
floor       frac        imag        length      lift        norm
norml2      numerator   numtoperm   padicprec   permtonum   precision
random      real        round       simplify    sizebyte    sizedigit
truncate    valuation   variable    


Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:03:08 2004

Input: ?6

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.111s
user	0m13.730s
sys	0m7.280s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:03:34 2004

Input: ?6

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.049s
user	0m13.810s
sys	0m7.190s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:03:54 2004

Input: ?

Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:04:13 2004

Input: ?7

Output: 
O                  deriv              eval               factorpadic
intformal          padicappr          polcoeff           polcyclo
poldegree          poldisc            poldiscreduced     polhensellift
polinterpolate     polisirreducible   pollead            pollegendre
polrecip           polresultant       polroots           polrootsmod
polrootspadic      polsturm           polsubcyclo        polsylvestermatrix
polsym             poltchebi          polzagier          serconvol
serlaplace         serreverse         subst              taylor
thue               thueinit           


Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:05:57 2004

Input: serreverse(cos(x)^-1)

Output: 
Errors (if any) and Timing Info:  ***   valuation not equal to 1 in serreverse.

Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:06:42 2004

Input: serreverse(1+x+x^2/2)

Output: 
Errors (if any) and Timing Info:  ***   not a series in serreverse.

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:06:57 2004

Input: serreverse(1+x)

Output: 
Errors (if any) and Timing Info:  ***   not a series in serreverse.

Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:07:01 2004

Input: serreverse(1+x)

Output: 
Errors (if any) and Timing Info:  ***   not a series in serreverse.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:07:42 2004

Input: solve(x=1+y)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: solve(x=1+y)
                                                       ^-


Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:08:41 2004

Input: solve(x=1,2,tan(x))

Output: 1.570796326794896619231321692

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host cernunnos.mpi.univie.ac.at. (131.130.30.207)
Time: Mon Feb 23 21:08:43 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host ip251-10.ct.co.cr. (196.40.10.251)
Time: Mon Feb 23 21:09:18 2004

Input: solve(x=ax+b)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: solve(x=ax+b)
                                                        ^-


Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host aula-etse011.uab.es. (158.109.66.133)
Time: Tue Feb 24 04:29:59 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.095s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 2(SERVFAIL) (195.219.172.9)
Time: Tue Feb 24 06:45:06 2004

Input: R := FiniteField(2)
D := LinearCode<R, 3|[0,1,1],[1,0,0],[1,0,1]>



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: R:=FiniteField(2)
                                ^---------------

  ***   unexpected character: D:=LinearCode<R,3|[0,1
                                ^--------------------


Timing:
real	0m0.090s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:11:36 2004

Input: ln(1+z)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: ln(1+z)
                           ^-------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: ln(x) ===> log(x)

log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0: 
default, or 1: calls logagm, computed using the agm.



Timing:
real	0m0.098s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:11:52 2004

Input: log(1+z)

Output: z - 1/2*z^2 + 1/3*z^3 - 1/4*z^4 + 1/5*z^5 - 1/6*z^6 + 1/7*z^7 - 1/8*z^8 + 1/9*z^9 - 1/10*z^10 + 1/11*z^11 - 1/12*z^12 + 1/13*z^13 - 1/14*z^14 + 1/15*z^15 + O(z^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:13:03 2004

Input: log(1-(i+1)/a)

Output: 
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:13:28 2004

Input: log(1-(i+1)/2)

Output: -0.6931471805599453094172321214 - i - 1/2*i^2 - 1/3*i^3 - 1/4*i^4 - 1/5*i^5 - 1/6*i^6 - 1/7*i^7 - 1/8*i^8 - 1/9*i^9 - 1/10*i^10 - 1/11*i^11 - 1/12*i^12 - 1/13*i^13 - 1/14*i^14 - 1/15*i^15 + O(i^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:15:18 2004

Input: i*i

Output: i^2

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:16:16 2004

Input: h=(1+i)^2

Output: i^2 + 2*i + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:18:58 2004

Input: log(1-(sqrt(-1)+1)/2)

Output: -0.3465735902799726547086160607 - 0.7853981633974483096156608458*I

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Tue Feb 24 07:20:10 2004

Input: log(1-(sqrt(-1)+1)/a)

Output: 
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host irmasrv3.u-strasbg.fr. (130.79.4.200)
Time: Tue Feb 24 09:45:13 2004

Input: 
 Factorization(255);

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Factorization(255);
                                                        ^-------------------


Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:17:03 2004

Input: 
three(n)=(3^n-1)/2
for (n=1,8,print1(three(n)","))

Output: 1,4,13,40,121,364,1093,3280,

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:18:24 2004

Input: 
for(i=1,2000,if(i!%3^333==0,print1(i);break))

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:20:34 2004

Input: 
{
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:20:54 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}




Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:21:22 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

for (i=1,100,print1(smarandache(i)","))



Output: 1,2,3,4,5,3,7,4,6,5,11,4,13,7,5,6,17,6,19,5,7,11,23,4,10,13,9,7,29,5,31,8,11,17,7,6,37,19,13,5,41,7,43,11,6,23,47,6,14,10,17,13,53,9,11,7,19,29,59,5,61,31,7,8,13,11,67,17,23,7,71,6,73,37,10,19,11,13,79,6,9,41,83,7,17,43,29,11,89,6,13,23,31,47,19,8,97,14,11,10,

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:22:32 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

for (i=1,2,print1(smarandache(i)","))



Output: 1,2,

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:22:53 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

for (i=1,2,print1(smarandache(3^1000)","))



Output: 2007,2007,

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:25:41 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

print1(smarandache(3^1000)",")



Output: 2007,

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:26:02 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

print1(smarandache(2^64)",")



Output: 66,

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:27:27 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

print1(smarandache(3^1000)",")



Output: 2007,

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 12:27:59 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

print1(smarandache(5^100000)",")



Output: 400005,

Errors (if any) and Timing Info:
Timing:
real	0m17.737s
user	0m17.520s
sys	0m0.150s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 13:36:27 2004

Input: {
findm(x,y)=local(m,n,x1);
m=0;n=1;x1=x-1;
while (((x^n-1)/x1)<=y,n++);n--;
while (y>0,
while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--);
x*m
}

{
smarandache(n)=local(f,fl,ms);
if (n==1,1,
f=factor(n);fl=length(f[,1]);
ms=vector(fl,i,0);
for (i=1,fl,ms[i]=findm(f[i,1],f[i,2]));
vecmax(ms))
}

print1(smarandache(5^1092)",")



Output: 4375,

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 13:46:41 2004

Input: For(i=1,2000,if(i!%3^333==0,print1(i);break))

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host user-0ccetbi.cable.mindspring.com. (24.199.117.114)
Time: Tue Feb 24 16:57:36 2004

Input: 
for(i=1,2000,if(i!%3^333==0,print1(i);break))

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host wiggum.math.muni.cz. (147.251.80.54)
Time: Wed Feb 25 04:08:34 2004

Input: kronecker(12345,567)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host wiggum.math.muni.cz. (147.251.80.54)
Time: Wed Feb 25 04:08:47 2004

Input: kronecker(2,7)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host aula-etse011.uab.es. (158.109.66.133)
Time: Wed Feb 25 05:29:38 2004

Input: Floor(3.141592);

GCD(12,8);


Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Floor(3.141592);
                                                        ^----------------

  ***   unknown function or error in formal parameters: GCD(12,8);
                                                        ^----------


Timing:
real	0m0.150s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Wed Feb 25 06:07:36 2004

Input: sigma(1,12,5)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: sigma(1,12,5)
                                                      ^---


Timing:
real	0m0.294s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host dsl-58.16.240.220.rns02-kent-syd.dsl.comindico.com.au. (220.240.16.58)
Time: Wed Feb 25 08:46:27 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 2(SERVFAIL) (61.11.88.232)
Time: Thu Feb 26 06:24:14 2004

Input: Mod(23432,353)

Output: Mod(134, 353)

Errors (if any) and Timing Info:
Timing:
real	0m20.287s
user	0m0.060s
sys	0m0.100s


************** PARI *****************
Host 2(SERVFAIL) (61.11.88.232)
Time: Thu Feb 26 06:24:34 2004

Input: m=Mod(23432,353)

Output: Mod(134, 353)

Errors (if any) and Timing Info:
Timing:
real	0m0.121s
user	0m0.030s
sys	0m0.070s


************** PARI *****************
Host cache-frr-ab01.proxy.aol.com. (195.93.73.6)
Time: Thu Feb 26 06:30:16 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host cache-frr-ab01.proxy.aol.com. (195.93.73.6)
Time: Thu Feb 26 06:31:04 2004

Input: 1+1;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host cache-frr-ab01.proxy.aol.com. (195.93.73.6)
Time: Thu Feb 26 06:31:18 2004

Input: 1+1;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host mars-fw.arces.unibo.it. (137.204.143.2)
Time: Thu Feb 26 08:32:36 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m5.968s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host firecache.univ-evry.fr. (194.199.90.9)
Time: Thu Feb 26 08:54:34 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.934s
user	0m0.050s
sys	0m0.070s


************** PARI *****************
Host 3(NXDOMAIN) (217.196.166.253)
Time: Thu Feb 26 15:49:32 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.231s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (217.196.166.253)
Time: Thu Feb 26 15:49:33 2004

Input: 32434

Output: 32434

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (217.196.166.253)
Time: Thu Feb 26 15:49:34 2004

Input: 32434

Output: 32434

Errors (if any) and Timing Info:
Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (217.196.166.253)
Time: Thu Feb 26 15:49:37 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.030s
sys	0m0.050s


************** PARI *****************
Host 3(NXDOMAIN) (200.195.19.144)
Time: Thu Feb 26 23:09:06 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m1.263s
user	0m0.070s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (200.195.19.144)
Time: Thu Feb 26 23:10:48 2004

Input: a b 10
b c 20
a c 30
b d 40

Output: ab10
bc20
ac30
bd40

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host aula-etse011.uab.es. (158.109.66.133)
Time: Fri Feb 27 04:48:44 2004

Input: t := { n�2 : n in [-11..11 by 2] | IsPrime(n) };

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: t:={n�2:nin[-11..11by2
                                ^--------------------


Timing:
real	0m0.506s
user	0m0.040s
sys	0m0.060s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Fri Feb 27 06:39:32 2004

Input: (1/k)*(1/sqrt(2)/a)^k*sin(k*pi/4)

Output: 
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m35.674s
user	0m0.050s
sys	0m0.080s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Fri Feb 27 06:40:08 2004

Input: (1/2)*(1/sqrt(2))^2*sin(2*pi/4)

Output: 0.1249999999999999999999999999*pi - 0.005208333333333333333333333333*pi^3 + 0.00006510416666666666666666666666*pi^5 - 0.0000003875248015873015873015873015*pi^7 + 0.000000001345572227733686067019400352*pi^9 - 3.058118699394741061407728074 E-12*pi^11 + 4.900831249030033752255974477 E-15*pi^13 - 5.834322915511944943161874378 E-18*pi^15 + O(pi^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.916s
user	0m0.070s
sys	0m0.040s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Fri Feb 27 06:41:08 2004

Input: (1/2)*(1/sqrt(2))^2*sin(2*4*arctan1)/4)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: ...(2))^2*sin(2*4*arctan1)/4)
                                                       ^-


Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Fri Feb 27 06:41:17 2004

Input: (1/2)*(1/sqrt(2))^2*sin(2*4*arctan(1)/4)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: 
  ***   ...2)*(1/sqrt(2))^2*sin(2*4*arctan(1)/4)
                                    ^------------


Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Fri Feb 27 06:41:32 2004

Input: (1/2)*(1/sqrt(2))^2*sin(2*4*atan(1)/4)

Output: 0.2499999999999999999999999999

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gate.mef-rd.com. (212.234.57.71)
Time: Fri Feb 27 06:42:19 2004

Input: (1/3)*(1/sqrt(2))^3*sin(3*4*atan(1)/4)

Output: 0.08333333333333333333333333332

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host MathD19.Math.McGill.CA. (132.206.150.219)
Time: Fri Feb 27 09:23:18 2004

Input: C<i>:=ComplexField();
E:=EllipticCurve([-4,-8]);
w1:=Periods(E)[1];
w2:=Periods(E)[2];
60*Eisenstein(4,[1.003847,1.09797*i])*2*ZetaFunction(4);
60*Eisenstein(4,[w1,2*w2])*2*ZetaFunction(4);
60*Eisenstein(4,[w1,w2/2])*2*ZetaFunction(4);
60*Eisenstein(4,[w1,w2])*2*ZetaFunction(4);
140*Eisenstein(6,[w1,2*w2])*2*ZetaFunction(6);
140*Eisenstein(6,[w1,w2/2])*2*ZetaFunction(6);
140*Eisenstein(6,[w1,w2])*2*ZetaFunction(6);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: C<i>:=ComplexField();
                                  ^-----------------

  ***   unexpected character: E:=EllipticCurve([-4,-
                                ^--------------------

  ***   unexpected character: w1:=Periods(E)[1];
                                 ^---------------

  ***   unexpected character: w2:=Periods(E)[2];
                                 ^---------------

  ***   unknown function or error in formal parameters: 60*Eisenstein(4,[1.0038
                                                           ^--------------------

  ***   unknown function or error in formal parameters: 60*Eisenstein(4,[w1,2*w
                                                           ^--------------------

  ***   unknown function or error in formal parameters: 60*Eisenstein(4,[w1,w2/
                                                           ^--------------------

  ***   unknown function or error in formal parameters: 60*Eisenstein(4,[w1,w2]
                                                           ^--------------------

  ***   unknown function or error in formal parameters: 140*
  ***   Eisenstein(6,[w1,2*w
        ^--------------------

  ***   unknown function or error in formal parameters: 140*
  ***   Eisenstein(6,[w1,w2/
        ^--------------------

  ***   unknown function or error in formal parameters: 140*
  ***   Eisenstein(6,[w1,w2]
        ^--------------------


Timing:
real	0m0.102s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (220.73.165.141)
Time: Fri Feb 27 11:54:30 2004

Input: eval(Strtex(pwd))


Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.

************** PARI *****************
Host a-mi21-51.tin.it. (212.216.4.114)
Time: Fri Feb 27 15:55:44 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host a-mi21-51.tin.it. (212.216.4.114)
Time: Fri Feb 27 15:56:11 2004

Input: 2^11-1

Output: 2047

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host a-mi21-51.tin.it. (212.216.4.114)
Time: Fri Feb 27 15:56:18 2004

Input: 2^11-1

Output: 2047

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host a-mi21-51.tin.it. (212.216.4.114)
Time: Fri Feb 27 15:56:43 2004

Input: Factor(2^11-1)


Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Factor(2^11-1)
                                                        ^--------------


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-4-204-97.client.comcast.net. (24.4.204.97)
Time: Sat Feb 28 04:50:18 2004

Input: 1


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.103s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host dialup-207-218-203-228.ev1.net. (207.218.203.228)
Time: Sat Feb 28 21:42:38 2004

Input: plot(x=2,3,cos(x)*gamma(x)*abs(sin(x)));


Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host i70pc09.tm.uni-karlsruhe.de. (141.3.66.83)
Time: Mon Mar  1 05:09:35 2004

Input: x^2+y^3

Output: x^2 + y^3

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host i70pc09.tm.uni-karlsruhe.de. (141.3.66.83)
Time: Mon Mar  1 05:12:52 2004

Input: x^2+(y+x)^3

Output: x^3 + (3*y + 1)*x^2 + 3*y^2*x + y^3

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 134-236-ADSL.red.retevision.es. (80.224.236.134)
Time: Mon Mar  1 08:15:31 2004

Input: magma


Output: magma

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host 134-236-ADSL.red.retevision.es. (80.224.236.134)
Time: Mon Mar  1 08:15:47 2004

Input: magma;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 134-236-ADSL.red.retevision.es. (80.224.236.134)
Time: Mon Mar  1 08:17:07 2004

Input: Floor(3.444);

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Floor(3.444);
                                                        ^-------------


Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host CPE00045adb3164-CM014260032861.cpe.net.cable.rogers.com. (24.156.184.119)
Time: Mon Mar  1 16:18:05 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Tue Mar  2 01:57:18 2004

Input: A:=GeneralLinearGroup(4, FiniteField(2));
A

Output: A

Errors (if any) and Timing Info:  ***   unexpected character: A:=GeneralLinearGroup(
                                ^--------------------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Tue Mar  2 01:57:32 2004

Input: A:=GeneralLinearGroup(4, FiniteField(2));
print A;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: A:=GeneralLinearGroup(
                                ^--------------------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host nat1.na.baesystems.com. (208.19.133.131)
Time: Tue Mar  2 13:44:03 2004

Input: (2+2/3)-2

Output: 2/3

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host nat1.na.baesystems.com. (208.19.133.131)
Time: Tue Mar  2 13:44:43 2004

Input: (2+77788887777788888887788/3)-2

Output: 25929629259262962962596

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ip68-99-143-58.ph.ph.cox.net. (68.99.143.58)
Time: Tue Mar  2 14:38:22 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 101-223-ADSL.red.retevision.es. (80.224.223.101)
Time: Tue Mar  2 15:02:23 2004

Input: r:=[-11..11 by 2];
r;
3+2;



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: r:=[-11..11by2];
                                ^--------------


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 80.58.50.44.proxycache.rima-tde.net. (80.58.50.44)
Time: Tue Mar  2 15:44:55 2004

Input: K:=GF(4);
M:=MatrixRing(K,2);
{Random(M):n in [1..10]}

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K:=GF(4);
                                ^-------

  ***   unexpected character: M:=MatrixRing(K,2);
                                ^-----------------

  ***   expected character: '=' instead of: Random(M):nin[1..10]
                                                     ^-----------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam183-108.student.harvard.edu. (140.247.183.108)
Time: Tue Mar  2 19:11:41 2004

Input: F<x> := PolynomialRing(RationalField());
N<w> := NumberField(x^4 + 7*x^3 + x^2 + 2*x + 1);
O := MaximalOrder(N);
I := 2 * O;
Factorization(I);
I := 3 * O;
Factorization(I);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: F<x>:=PolynomialRing(Rat
                                  ^--------------------

  ***   unexpected character: N<w>:=NumberField(x^4+7*
                                  ^--------------------

  ***   expected character: '(' instead of: O:=MaximalOrder(N);
                                             ^------------------

  ***   unexpected character: I:=2*O;
                                ^-----

  ***   unknown function or error in formal parameters: Factorization(I);
                                                                      ^---

  ***   unexpected character: I:=3*O;
                                ^-----

  ***   unknown function or error in formal parameters: Factorization(I);
                                                                      ^---


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhcp11-190.harvard.edu. (128.103.11.190)
Time: Tue Mar  2 20:33:27 2004

Input: 2-3

Output: -1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host babbage.bham.ac.uk. (147.188.56.114)
Time: Tue Mar  2 21:04:36 2004

Input: 2^10;


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host adsl-67-65-250-154.dsl.okcyok.swbell.net. (67.65.250.154)
Time: Tue Mar  2 21:56:17 2004

Input: Mod((448842263^1973583573927159327592375937593759173513759375397539573958739583958395839531753751973597356837583918738519357),77038717908638071813880096581303102604552018462668921038977313239022513085916778273471467501239472111546684987)



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.254s
user	0m20.950s
sys	0m0.050s


************** PARI *****************
Host adsl-67-65-250-154.dsl.okcyok.swbell.net. (67.65.250.154)
Time: Tue Mar  2 21:59:59 2004

Input: Mod(448842263^1973583573927159327592375937593759173513759375397539573958739583958395839531753751973597356837583918738519357,77038717908638071813880096581303102604552018462668921038977313239022513085916778273471467501239472111546684987)



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.061s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:30:59 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 2)

Output: [1/4, -7/8]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:31:49 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 4)

Output: [2209/784, 121871/21952]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:34:09 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 10)

Output: [5830841453459885475649/5823307160093702500, 445243408490396790389727064799143/14052530852136240464297375000]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:34:22 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 6)

Output: [51825601/16208676, -424317173273/65256129576]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:35:21 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 5)

Output: [169/225625, -5080322/107171875]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:41:10 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 6)

Output: [51825601/16208676, -424317173273/65256129576]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:41:47 2004

Input: e=ellinit([0,0,0,3,0]);
P=[1,2];
ellpow(e, P, 10)

Output: [5830841453459885475649/5823307160093702500, 445243408490396790389727064799143/14052530852136240464297375000]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:47:58 2004

Input: e=ellinit([0,0,0,0,-48]);
P=[1,0];
ellpow(e, P, 3)

Output: [1, 0]

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h24-81-108-53.vc.shawcable.net. (24.81.108.53)
Time: Wed Mar  3 02:48:31 2004

Input: e=ellinit([0,0,0,0,-48]);
P=[1,0];
ellpow(e, P, 5)

Output: [1, 0]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host jcarlos.uab.es. (158.109.9.25)
Time: Wed Mar  3 04:20:00 2004

Input: P<x>:=PolynomialRing(3);



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: P<x>:=PolynomialRing(3);
                                  ^--------------------


Timing:
real	0m0.109s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host aula-b-siee108.uab.es. (158.109.66.108)
Time: Wed Mar  3 07:21:33 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host aula-b-siee108.uab.es. (158.109.66.108)
Time: Wed Mar  3 07:21:35 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host aula-b-siee108.uab.es. (158.109.66.108)
Time: Wed Mar  3 07:23:11 2004

Input: any:=360;
any



Output: any

Errors (if any) and Timing Info:  ***   unexpected character: any:=360;
                                  ^-----


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host aula-b-siee108.uab.es. (158.109.66.108)
Time: Wed Mar  3 07:23:35 2004

Input: any:=360;
print any;



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: any:=360;
                                  ^-----


Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 07:43:09 2004

Input: (X^2 - a*X - (a+2))^2 - a*(X^2 - a*X - (a+2)) - (a+2)

Output: X^4 - 2*a*X^3 + (a^2 - 3*a - 4)*X^2 + (3*a^2 + 4*a)*X + (2*a^2 + 5*a + 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 07:44:18 2004

Input: (X^2 - a*X - (a+2))^2 - a*(X^2 - a*X - (a+2)) - (a+2) - X^4 + a*X^3 + (a+3)*X^2 + X

Output: -a*X^3 + (a^2 - 2*a - 1)*X^2 + (3*a^2 + 4*a + 1)*X + (2*a^2 + 5*a + 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 07:46:31 2004

Input:  (a^2 - 2*a - 1)*X^2 + (3*a^2 + 4*a + 1)*X + (2*a^2 + 5*a + 2) - (a^2*X^2 + (a^2+3*a)*X + a

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...2)-(a^2*X^2+(a^2+3*a)*X+a
                                                                        ^


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 07:46:36 2004

Input:  (a^2 - 2*a - 1)*X^2 + (3*a^2 + 4*a + 1)*X + (2*a^2 + 5*a + 2) - (a^2*X^2 + (a^2+3*a)*X + a)

Output: (2*X + 2)*a^2 + (-2*X^2 + X + 4)*a + (-X^2 + X + 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 07:56:57 2004

Input: t=Mod(x,x^3-a*x^2-(a+3)*x-1):t^3


Output: Mod(a*x^2 + (a + 3)*x + 1, x^3 - a*x^2 + (-a - 3)*x - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 07:57:51 2004

Input: t=Mod(x,x^3-a*x^2-(a+3)*x-1):u=t^2-a*t-(a+2):u^2-a*u-(a+2)

Output: Mod((-2*a - 1)*x^2 + (2*a^2 + a + 1)*x + (2*a^2 + 4*a + 2), x^3 - a*x^2 + (-a - 3)*x - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:06:32 2004

Input: -(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2

Output: (-2*X^2 - 6*X - 4)*a^3 + (4*X^3 + 5*X^2 - 11*X - 12)*a^2 + (-2*X^4 + 2*X^3 + 11*X^2 - 5*X - 11)*a + (-X^4 + 5*X^2 - 4)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:07:21 2004

Input: a=b:-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2

Output: (-2*X^2 - 6*X - 4)*b^3 + (4*X^3 + 5*X^2 - 11*X - 12)*b^2 + (-2*X^4 + 2*X^3 + 11*X^2 - 5*X - 11)*b + (-X^4 + 5*X^2 - 4)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:07:33 2004

Input: x=X:-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2

Output: (-2*a - 1)*X^4 + (4*a^2 + 2*a)*X^3 + (-2*a^3 + 5*a^2 + 11*a + 5)*X^2 + (-6*a^3 - 11*a^2 - 5*a)*X + (-4*a^3 - 12*a^2 - 11*a - 4)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:09:16 2004

Input: x=Mod(t,t^3-a*t^2-(a+3)*t-1):-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2

Output: (-2*X^2 - 6*X - 4)*a^3 + (4*X^3 + 5*X^2 - 11*X - 12)*a^2 + (-2*X^4 + 2*X^3 + 11*X^2 - 5*X - 11)*a + (-X^4 + 5*X^2 - 4)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:09:30 2004

Input: X=Mod(t,t^3-a*t^2-(a+3)*t-1):-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2

Output: Mod((4*a^2 + 4*a + 2)*t^2 + (-4*a^3 - 4*a^2 - 4*a - 1)*t + (-4*a^3 - 10*a^2 - 10*a - 4), t^3 - a*t^2 + (-a - 3)*t - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:10:49 2004

Input: polgalois(x^3-7*x^2-10*x-1)

Output: [3, 1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host fen116.fen.bilkent.edu.tr. (139.179.96.193)
Time: Wed Mar  3 08:11:22 2004

Input: ?6


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.022s
user	0m13.850s
sys	0m7.150s


************** PARI *****************
Host ip503de19b.speed.planet.nl. (80.61.225.155)
Time: Wed Mar  3 08:19:19 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host aula-a-siee19.uab.es. (158.109.66.19)
Time: Wed Mar  3 08:58:40 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host iml151.univ-mrs.fr. (139.124.6.151)
Time: Wed Mar  3 08:59:05 2004

Input: roots(X^2-2)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: roots(X^2-2)
                           ^------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: roots(x) ===> polroots(x)

polroots(x,{flag=0}): complex roots of the polynomial x. flag is optional, and 
can be 0: default, uses Schonhage's method modified by Gourdon, or 1: uses a 
modified Newton method.



Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host iml151.univ-mrs.fr. (139.124.6.151)
Time: Wed Mar  3 08:59:20 2004

Input: polroots(X^2-2)

Output: [-1.414213562373095048801688724 + 0.E-28*I, 1.414213562373095048801688724 + 0.E-28*I]~

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host iml151.univ-mrs.fr. (139.124.6.151)
Time: Wed Mar  3 09:00:19 2004

Input: polroots(X^2-2,X)

Output: 
Errors (if any) and Timing Info:  ***   this should be an integer: polroots(X^2-2,X)
                                                  ^--


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host iml151.univ-mrs.fr. (139.124.6.151)
Time: Wed Mar  3 09:00:29 2004

Input: polroots(X^2-2)

Output: [-1.414213562373095048801688724 + 0.E-28*I, 1.414213562373095048801688724 + 0.E-28*I]~

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host aula-b-siee94.uab.es. (158.109.66.94)
Time: Wed Mar  3 09:43:52 2004

Input: bolean := 1;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: bolean:=1;
                                     ^---


Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host aula-b-siee94.uab.es. (158.109.66.94)
Time: Wed Mar  3 09:44:01 2004

Input: bolean := 1;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: bolean:=1;
                                     ^---


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host azizu.uab.es. (158.109.12.158)
Time: Wed Mar  3 10:15:52 2004

Input: K:=GF(4);
M22 := KMatrixSpace(K, 2, 2);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K:=GF(4);
                                ^-------

  ***   unexpected character: M22:=KMatrixSpace(K,2,2)
                                  ^--------------------


Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Wed Mar  3 21:23:24 2004

Input: 7000/389

Output: 7000/389

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Wed Mar  3 21:23:28 2004

Input: 7000/389.0

Output: 17.99485861182519280205655526

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Wed Mar  3 21:25:39 2004

Input: 389*19

Output: 7391

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 211-23-169-228.HINET-IP.hinet.net. (211.23.169.228)
Time: Thu Mar  4 09:03:54 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 211-23-169-228.HINET-IP.hinet.net. (211.23.169.228)
Time: Thu Mar  4 09:04:42 2004

Input: factor(10^1000-1)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.100s
user	0m20.800s
sys	0m0.200s


************** PARI *****************
Host hulk.upc.es. (147.83.133.71)
Time: Thu Mar  4 09:04:54 2004

Input: Pi

Output: 3.141592653589793238462643383

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 211-23-169-228.HINET-IP.hinet.net. (211.23.169.228)
Time: Thu Mar  4 09:04:57 2004

Input: factor(10^10-1)


Output: 
[3 2]

[11 1]

[41 1]

[271 1]

[9091 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (196.1.94.254)
Time: Thu Mar  4 11:15:56 2004

Input: ?GCD

Output: 
Errors (if any) and Timing Info:  ***   GCD: unknown identifier.

Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (196.1.94.254)
Time: Thu Mar  4 11:16:05 2004

Input: ?

Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (196.1.94.254)
Time: Thu Mar  4 11:16:22 2004

Input: ?0

Output: 
x 


Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (196.1.94.254)
Time: Thu Mar  4 11:16:35 2004

Input: ?1

Output: 
divrem   lex      max      min      shift    shiftmul sign     vecmax
vecmin   


Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:00:00 2004

Input: (x+y+z)^2

Output: x^2 + (2*y + 2*z)*x + (y^2 + 2*z*y + z^2)

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:00:31 2004

Input: sum(x^2,x,0,n-1)

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: sum(x^2,x,0,n-1)
                                                 ^-----------


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:00:50 2004

Input: Sum[x^2,x,0,n-1]

Output: 
Errors (if any) and Timing Info:  ***   expected character: ']' instead of: Sum[x^2,x,0,n-1]
                                                     ^-------


Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:02:54 2004

Input: sumalt(x=0,x^2,n-1)

Output: 
Errors (if any) and Timing Info:  ***   this should be an integer: sumalt(x=0,x^2,n-1)
                                                  ^----


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:03:02 2004

Input: sumalt(x=0,x^2)

Output: 7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:03:17 2004

Input: sumalt(x=0,x^2)

Output: 7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:03:18 2004

Input: sumalt(x=0,x^2)

Output: 7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:03:20 2004

Input: sumalt(x=0,x^2)

Output: 7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:04:03 2004

Input: p 1
sumalt(x=0,x^2)

Output: p1
7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:04:08 2004

Input: p 1
sumalt(x=0,x^2)

Output: p1
7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:04:12 2004

Input: p 1
sumalt(x=0,x^2)

Output: p1
7912.896731401937164215524753

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:05:26 2004

Input: sum(x=0,x^2,1,5)

Output: 
Errors (if any) and Timing Info:  ***   incorrect type in comparison.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (66.144.41.233)
Time: Thu Mar  4 15:05:37 2004

Input: sum(x=0,x^2,1,5)

Output: 
Errors (if any) and Timing Info:  ***   incorrect type in comparison.

Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host cache2.uwn.unsw.EDU.AU. (129.94.6.29)
Time: Thu Mar  4 19:09:59 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (63.139.104.190)
Time: Thu Mar  4 23:44:47 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host hades.ex.ac.uk. (144.173.6.80)
Time: Fri Mar  5 05:05:43 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host gounod-1-82-66-202-129.fbx.proxad.net. (82.66.202.129)
Time: Fri Mar  5 10:45:51 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.117s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65)
Time: Fri Mar  5 19:17:39 2004

Input: (a + b)^2

Output: a^2 + 2*b*a + b^2

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65)
Time: Fri Mar  5 19:17:56 2004

Input: (a + b + c)^2

Output: a^2 + (2*b + 2*c)*a + (b^2 + 2*c*b + c^2)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65)
Time: Fri Mar  5 19:18:11 2004

Input: (a + b + c)^10

Output: a^10 + (10*b + 10*c)*a^9 + (45*b^2 + 90*c*b + 45*c^2)*a^8 + (120*b^3 + 360*c*b^2 + 360*c^2*b + 120*c^3)*a^7 + (210*b^4 + 840*c*b^3 + 1260*c^2*b^2 + 840*c^3*b + 210*c^4)*a^6 + (252*b^5 + 1260*c*b^4 + 2520*c^2*b^3 + 2520*c^3*b^2 + 1260*c^4*b + 252*c^5)*a^5 + (210*b^6 + 1260*c*b^5 + 3150*c^2*b^4 + 4200*c^3*b^3 + 3150*c^4*b^2 + 1260*c^5*b + 210*c^6)*a^4 + (120*b^7 + 840*c*b^6 + 2520*c^2*b^5 + 4200*c^3*b^4 + 4200*c^4*b^3 + 2520*c^5*b^2 + 840*c^6*b + 120*c^7)*a^3 + (45*b^8 + 360*c*b^7 + 1260*c^2*b^6 + 2520*c^3*b^5 + 3150*c^4*b^4 + 2520*c^5*b^3 + 1260*c^6*b^2 + 360*c^7*b + 45*c^8)*a^2 + (10*b^9 + 90*c*b^8 + 360*c^2*b^7 + 840*c^3*b^6 + 1260*c^4*b^5 + 1260*c^5*b^4 + 840*c^6*b^3 + 360*c^7*b^2 + 90*c^8*b + 10*c^9)*a + (b^10 + 10*c*b^9 + 45*c^2*b^8 + 120*c^3*b^7 + 210*c^4*b^6 + 252*c^5*b^5 + 210*c^6*b^4 + 120*c^7*b^3 + 45*c^8*b^2 + 10*c^9*b + c^10)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65)
Time: Fri Mar  5 19:19:16 2004

Input: mathilbert(5)^2

Output: 
[5269/3600 5/6 25/42 235/504 775/2016]

[5/6 1769/3600 5/14 95/336 355/1512]

[25/42 5/14 46181/176400 5/24 25/144]

[235/504 95/336 5/24 117349/705600 5/36]

[775/2016 355/1512 25/144 5/36 737641/6350400]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65)
Time: Fri Mar  5 19:19:39 2004

Input: mathilbert(5)

Output: 
[1 1/2 1/3 1/4 1/5]

[1/2 1/3 1/4 1/5 1/6]

[1/3 1/4 1/5 1/6 1/7]

[1/4 1/5 1/6 1/7 1/8]

[1/5 1/6 1/7 1/8 1/9]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65)
Time: Fri Mar  5 19:20:02 2004

Input: mathilbert(6)

Output: 
[1 1/2 1/3 1/4 1/5 1/6]

[1/2 1/3 1/4 1/5 1/6 1/7]

[1/3 1/4 1/5 1/6 1/7 1/8]

[1/4 1/5 1/6 1/7 1/8 1/9]

[1/5 1/6 1/7 1/8 1/9 1/10]

[1/6 1/7 1/8 1/9 1/10 1/11]


Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 82-166-168-173.barak.net.il. (82.166.168.173)
Time: Fri Mar  5 21:27:46 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host c211-28-150-222.thoms1.vic.optusnet.com.au. (211.28.150.222)
Time: Sat Mar  6 21:45:03 2004

Input: x squared times four-hundred


Output: xsquaredtimesfour - hundred

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host c211-28-150-222.thoms1.vic.optusnet.com.au. (211.28.150.222)
Time: Sat Mar  6 21:45:14 2004

Input: 1+1

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host Ottawa-HSE-ppp261551.sympatico.ca. (64.230.31.236)
Time: Sun Mar  7 10:07:14 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.085s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host pool-141-154-147-143.wma.east.verizon.net. (141.154.147.143)
Time: Sun Mar  7 20:58:44 2004

Input: log2 4-logx 16

Output: log24 - logx16

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176)
Time: Mon Mar  8 01:50:17 2004

Input: 700

Output: 700

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176)
Time: Mon Mar  8 01:54:52 2004

Input: sevsn zero zero

Output: sevsnzerozero

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176)
Time: Mon Mar  8 01:55:43 2004

Input: sevsn zero zero

Output: sevsnzerozero

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176)
Time: Mon Mar  8 01:55:53 2004

Input: seven zero zero

Output: sevenzerozero

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176)
Time: Mon Mar  8 01:56:24 2004

Input: nine one one

Output: nineoneone

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host c-24-126-214-191.we.client2.attbi.com. (24.126.214.191)
Time: Mon Mar  8 04:30:01 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (134.147.19.204)
Time: Mon Mar  8 09:02:39 2004

Input: 2+3=


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 2+3=
                                 ^-


Timing:
real	0m0.172s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Mar  8 18:53:06 2004

Input: k=MOD(x, x^2-2)
k^2

Output: k^2

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: k=MOD(x,x^2-2)
                                                     ^-----


Timing:
real	0m0.088s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Mar  8 18:53:42 2004

Input: k=Mod(x, x^2-2)
k^2

Output: Mod(x, x^2 - 2)
Mod(2, x^2 - 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Mar  8 18:54:23 2004

Input: k=Mod(x, x^2-2)
k^2
a+b*k

Output: Mod(x, x^2 - 2)
Mod(2, x^2 - 2)
Mod(b*x + a, x^2 - 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Mar  8 18:54:46 2004

Input: k=Mod(x, x^2-2)
k^2
a+b*k
CharPoly(a+b*k)

Output: Mod(x, x^2 - 2)
Mod(2, x^2 - 2)
Mod(b*x + a, x^2 - 2)

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: CharPoly(a+b*k)
                                                      ^-----


Timing:
real	0m0.076s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Mar  8 18:55:10 2004

Input: k=Mod(x, x^2-2)
k^2
a+b*k
charpoly(a+b*k)

Output: Mod(x, x^2 - 2)
Mod(2, x^2 - 2)
Mod(b*x + a, x^2 - 2)
x^2 - 2*a*x + (a^2 - 2*b^2)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam169-183.student.harvard.edu. (140.247.169.183)
Time: Mon Mar  8 18:56:54 2004

Input: k=Mod(x, x^3-x+2)
charpoly((1/2)*(a+b*k+c*k^2))

Output: Mod(x, x^3 - x + 2)
x^3 + (-3/2*a - c)*x^2 + (3/4*a^2 + c*a + (-1/4*b^2 + 3/2*c*b + 1/4*c^2))*x + (-1/8*a^3 - 1/4*c*a^2 + (1/8*b^2 - 3/4*c*b - 1/8*c^2)*a + (1/4*b^3 - 1/4*c^2*b - 1/2*c^3))

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host bln2-t2-2.mcbone.net. (62.104.208.83)
Time: Tue Mar  9 12:42:23 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host B56-74.DAS.McGill.CA. (198.168.182.226)
Time: Tue Mar  9 15:03:21 2004

Input: 2+3

Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 200-147-20-199.tlf.dialuol.com.br. (200.147.20.199)
Time: Tue Mar  9 23:35:39 2004

Input: sin(2);


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.085s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host GLORFINDEL.MIT.EDU. (18.243.1.196)
Time: Wed Mar 10 04:42:17 2004

Input: ClassGroup(QuadraticField(-55));

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: ClassGroup(
  ***   QuadraticField(-55))
        ^--------------------


Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (194.3.129.244)
Time: Wed Mar 10 06:29:27 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host cache2.nottingham.ac.uk. (128.243.220.22)
Time: Wed Mar 10 09:19:12 2004

Input: log(x)


Output: 
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host cache2.nottingham.ac.uk. (128.243.220.22)
Time: Wed Mar 10 09:19:36 2004

Input: log(x+1)


Output: x - 1/2*x^2 + 1/3*x^3 - 1/4*x^4 + 1/5*x^5 - 1/6*x^6 + 1/7*x^7 - 1/8*x^8 + 1/9*x^9 - 1/10*x^10 + 1/11*x^11 - 1/12*x^12 + 1/13*x^13 - 1/14*x^14 + 1/15*x^15 + O(x^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host 2(SERVFAIL) (161.53.45.106)
Time: Wed Mar 10 09:40:57 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host aula-b-siee128.uab.es. (158.109.66.128)
Time: Wed Mar 10 11:51:16 2004

Input: F<alpha>:=GF(7*7*7);
n := alpha^(7*2+7*1+7*0);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: F<alpha>:=GF(7*7*7);
                                      ^------------

  ***   unexpected character: n:=alpha^(7*2+7*1+7*0)
                                ^--------------------


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host B56-46.DAS.McGill.CA. (198.168.182.198)
Time: Wed Mar 10 14:30:15 2004

Input: 2+5;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host B56-31.DAS.McGill.CA. (198.168.182.183)
Time: Wed Mar 10 15:54:56 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host B56-31.DAS.McGill.CA. (198.168.182.183)
Time: Wed Mar 10 16:02:20 2004

Input: 1 eq 3

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 1eq3
                             ^--


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (200.182.6.2)
Time: Wed Mar 10 18:56:46 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Mar 11 01:35:01 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host mnprox15.epo.nl. (145.64.134.235)
Time: Thu Mar 11 04:18:52 2004

Input: 5+6

Output: 11

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host www-rocqbis.inria.fr. (192.93.2.12)
Time: Thu Mar 11 07:15:31 2004

Input: K<w> := GF(11,11);
#K;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K<w>:=GF(11,11);
                                  ^------------

  ***   unexpected character: #K;
                               ^--


Timing:
real	0m0.087s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host serv.math.metu.edu.tr. (144.122.136.16)
Time: Thu Mar 11 11:33:27 2004

Input: 2 + 3 ; 

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host serv.math.metu.edu.tr. (144.122.136.16)
Time: Thu Mar 11 11:33:40 2004

Input: 2 + 3

Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhip-159.ams.residences.colby.edu. (137.146.134.223)
Time: Thu Mar 11 17:05:04 2004

Input: gcd(121,375)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhip-159.ams.residences.colby.edu. (137.146.134.223)
Time: Thu Mar 11 17:12:07 2004

Input: gcd(121,12)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhip-159.ams.residences.colby.edu. (137.146.134.223)
Time: Thu Mar 11 17:24:30 2004

Input: gcd(87,191)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhip-159.ams.residences.colby.edu. (137.146.134.223)
Time: Thu Mar 11 17:35:39 2004

Input: gcd(19,247)

Output: 19

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host csarami.resnet.mtu.edu. (141.219.83.104)
Time: Thu Mar 11 20:53:49 2004

Input: P<x>:=PolynomialRing(GF(2));
f:=(1 + x + x^2 + x^5 + x^6 + x^11 + x^14 + x^15 + x^16 + x^22 + 
    x^23 + x^24 + x^25 + x^26 + x^28 + x^31 + x^32 + x^33 + x^35 + 
    x^36);
C:=CyclicCode(63,f); #AutomorphismGroup(C);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: P<x>:=PolynomialRing(GF(
                                  ^--------------------

  ***   unexpected character: f:=(1+x+x^2+x^5+x^6+x^
                                ^--------------------

  ***   unexpected character: ...x^28+x^31+x^32+x^33+x^35+
                                                          ^

  ***   unused characters: x^36);
                               ^--

  ***   unexpected character: C:=CyclicCode(63,f);#A
                                ^--------------------


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host gw1.btc.transwitch.com. (63.149.68.2)
Time: Fri Mar 12 00:18:42 2004

Input: R<x> := PolynomialRing(RationalField());TransitiveGroupIdentification(GaloisGroup(x^15-2*x^14-163*x^13+572*x^12+8741*x^11-43566*x^10-158357*x^9+1218850*x^8-268843*x^7-10964358*x^6+22615039*x^5-6993034*x^4-9237443*x^3-232532*x^2+291180*x-14600));


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: R<x>:=PolynomialRing(Rat
                                  ^--------------------


Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host l2-372b.kn.vutbr.cz. (147.229.201.96)
Time: Fri Mar 12 07:12:12 2004

Input: P<x>:=PolynomialAlgebra(GF(2));

function PolynomialOrder(p); 
//-------------------------------------------------------------------
// PolynomialOrder calculates the order of a polynomial over a finite
// field
//-------------------------------------------------------------------
  Fqm:=SplittingField(p);          // Create extension field GF(q^m)
  if IsIrreducible(p) then         // Order of p is order of root of p
    order:=Order(Representative(Roots(p,Fqm))[1]);
  else                             // Order of prime factors of p must
    P:=Parent(p);                  //   divide order of p
    x:=P.1;
    allorders:={Order(a[1]):a in Roots(p,Fqm)};
    orders:=[order:order in allorders];
    step:=Lcm(orders);
    order:=0;
    repeat
      order:=order+step;
    until Gcd(x^order-1,p) eq p;      
  end if;
  return order;
end function;

function SecPoly(s);
  return &+[x^i:i in s];
end function;

function PrintLaTeXFactor(n);
  a:=Factorization(n);
  c:="";
  for b in a do
    c:=c*IntegerToString(b[1])*"^{"*IntegerToString(b[2])*"}";
  end for;
  return c;
end function;

function PrintIrreduciblePolynomialOrder(m,w); 
//-------------------------------------------------------------------
// PrintIrreduciblePolynomialOrder(m,w) prints all irreducible
// polynomials over GF(2) of degree m and weight w and their orders.
//
// Created by Mikael Olofsson 970627.
//-------------------------------------------------------------------
  if m lt 0 then
    powers:=[];
  elif m eq 0 then
    if w eq 1 then
      powers:=[[0]];
    else
      powers:=[];
    end if;
  elif (m ge w-1) and (w ge 2) then
    //P<x>:=PolynomialAlgebra(GF(2));
    powers:=[[0]];
    if w ge 3 then
      for i in [2..w-1] do
        newpowers:=[];
        for a in powers do
          for j in [a[i-1]+1..m-w+i] do
            Append(~newpowers,Append(a,j));
          end for;
        end for;
        powers:=newpowers;
      end for;
    end if;
    powers:=[Append(a,m):a in powers];
  else
    powers:=[];
  end if;
  polynomials:=[SecPoly(a):a in powers];
  irrpolynomials:=[p:p in polynomials|IsIrreducible(p)];
  M:=#irrpolynomials;
  print "A search of irreducible polynomials using MAGMA gave the following result.";
  print " ";
  print "Found", M, "irreducible polynomials";
  print "of degree", m, "and weight "*IntegerToString(w)*".";
  print " ";
  print "begin{tabular}{|l|l|}";
  print "  Polynomial & Order ";
  maxorder:=0;
  for p in irrpolynomials do
    order:=PolynomialOrder(p);
    maxorder:=Max({maxorder,order});
    print "$", p, "$ & $"*IntegerToString(order)*"="*PrintLaTeXFactor(order)*"$ ";
  end for;
  print "end{tabular}";
  return irrpolynomials,M,maxorder;
end function;

print "Use DoItNow(m1,m2,step) to generate irreducible polynomials of";
print "weight 5";
procedure DoItNow(m1,m2,step); 
//-------------------------------------------------------------------
// DoItNow(m1,m2,step) is a procedure that generates tables of 
// irreducible polynomials of weight five using the function 
// PrintIrreduciblePolynomialOrder(m,w). For each degree two separate 
// files are created for the polynomials, one in MAGMA form and one 
// in LaTeX form. Additionally, for each degree interval of length 
// step a file containing a table of degrees and the number of 
// irreducible polynomials of that degree and weight three is produced.
//
// Created by Mikael Olofsson 970706.
//-------------------------------------------------------------------
  mm1:=IntegerToString(m1);
  mm2:=IntegerToString(m2);
  print "Searching for irreducible polynomials in the interval ]"*mm1*","*mm2*"].";
  print " ";
  for i in [m1..m2 by step] do
    i1:=IntegerToString(i+1);
    i2:=IntegerToString(i+step);
    print "Treat�ng degrees "*i1*" - "*i2;
    filename1:="WeightFivePoly"*i1*"-"*i2*".tex";
    filename2:="WeightFivePoly"*i1*"-"*i2*".def";
    print "Initiating "*filename1*".";
    SetOutputFile(filename1);
    print "The number $N_m$ of irreducible polynomials of weight $5$";
    print "and the maximum order $r$ of these polynomials for degrees $min["*i1*","*i2*"]$.";
    print " ";
    print "begin{tabular}{|l|l|}hline";
    print "  $m$ & $N_m$ & $r$ hlinehline";
    UnsetOutputFile();
    print "Initiating "*filename2*".";
    SetOutputFile(filename2);
    print "// Definition of IrrPolyWeightFiveNumberAndOrder, containing";
    print "// [m,Nm,r], the number Nm of irreducible polynomials of weight 5";
    print "// and the maximum order r of these polynomials for degrees";
    print "// m ranging from "*i1*" to "*i2*".";
    print " ";
    print "IrrPolyWeightFiveNumberAndOrder:=[]";
    UnsetOutputFile();
    for j in [1..step] do 
      ij1:=IntegerToString(i+j);
      filename3:="WeightFivePoly"*ij1*".tex";
      filename4:="WeightFivePoly"*ij1*".def";
      print "Writing in "*filename3*".";
      SetOutputFile(filename3);
      irrpolys, Nm, maxorder := PrintIrreduciblePolynomialOrder(i+j,5);
      UnsetOutputFile();
      print "Writing in "*filename4*".";
      SetOutputFile(filename4);
      print "// Definition of irrpolys"*ij1*"weight5, all irreducible polynomials";
      print "// of degree "*ij1*" and weight 5 over GF(2), and definition of ";
      print "// N"*ij1*"weight5, the number of these polynomials. Also definition of ";
      print "// maxorder"*ij1*"weight5, the maximum order among these polynomials.";
      print " ";
      print "irrpolys"*ij1*"weight5:=",irrpolys,";";
      print "N"*ij1*"weight5:=",Nm,";";
      print "maxorder"*ij1*"weight5:=",maxorder,";";
      UnsetOutputFile();
      print "Writing in "*filename1*".";
      SetOutputFile(filename1);
      NNm:=IntegerToString(Nm);
      MO:=IntegerToString(maxorder);
      print "  "*ij1*" & "*NNm*" & "*MO*" ";
      UnsetOutputFile();
      print "Writing in "*filename2*".";
      SetOutputFile(filename2);
      print "Append(~IrrPolyWeightFiveNumberAndOrder,["*ij1*","*NNm*","*MO*"]);";
      UnsetOutputFile();
    end for;
    print "Terminating "*filename1*".";
    SetOutputFile(filename1);
    print "hline";
    print "end{tabular}";
    UnsetOutputFile();
    print "Terminating "*filename2*".";
    SetOutputFile(filename2);
    print "// Ready!";
    UnsetOutputFile();
    print "Subinterval ready.";
    print " ";
  end for;
  print "The search is terminated.";
end procedure;

 

Output: WARNING: PARI command contains unsafe command 'read', so it will not be executed.

************** PARI *****************
Host lupetti2.cs.uit.no. (129.242.18.56)
Time: Fri Mar 12 11:40:17 2004

Input: F7 := FiniteField(7);F49<w> := ext< F7 | 2 >;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: F7:=FiniteField(7);F49<
                                 ^--------------------


Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Fri Mar 12 12:23:39 2004

Input: 1+1+1+1;

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Fri Mar 12 12:23:45 2004

Input: 1+1+1+1

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Sat Mar 13 15:51:42 2004

Input: factor(x^2-25)

Output: 
[x - 5 1]

[x + 5 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Sat Mar 13 15:52:06 2004

Input: polroots(x^2-25)

Output: [-5.000000000000000000000000000 + 0.E-28*I, 5.000000000000000000000000000 + 0.E-28*I]~

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Sat Mar 13 15:52:38 2004

Input: polroots(x^2-25*y+45)

Output: 
Errors (if any) and Timing Info:  ***   invalid coefficients in roots.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Sat Mar 13 15:54:15 2004

Input: polroots((44*x+3*17)*(44*y+3)-17*713)

Output: 
Errors (if any) and Timing Info:  ***   invalid coefficients in roots.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Sat Mar 13 15:54:24 2004

Input: polroots((44*x+3*17)*(44*y+3)-17*713)

Output: 
Errors (if any) and Timing Info:  ***   invalid coefficients in roots.

Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Sat Mar 13 15:54:40 2004

Input: factor((44*x+3*17)*(44*y+3)-17*713)

Output: 
Errors (if any) and Timing Info:  ***   sorry, factor for general polynomials is not yet implemented.

Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27)
Time: Sun Mar 14 12:16:07 2004

Input: delta(a,b)=a^3+27b^2;
delta(5,6)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: delta(a,b)=a^3+27b^2;
                                            ^----

  ***   unknown function or error in formal parameters: delta(5,6)
                                                        ^----------


Timing:
real	0m0.319s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27)
Time: Sun Mar 14 12:16:21 2004

Input: D(a,b)=a^3+27b^2;
delta(5,6)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: D(a,b)=a^3+27b^2;
                                        ^----

  ***   unknown function or error in formal parameters: delta(5,6)
                                                        ^----------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27)
Time: Sun Mar 14 12:16:35 2004

Input: DLT(a,b)=a^3+27b^2;
DLT(5,6)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: DLT(a,b)=a^3+27b^2;
                                          ^----

  ***   unknown function or error in formal parameters: DLT(5,6)
                                                        ^--------


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27)
Time: Sun Mar 14 12:16:41 2004

Input: DLT(a,b)=a^3+27b^2;
DLT(5,6)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: DLT(a,b)=a^3+27b^2;
                                          ^----

  ***   unknown function or error in formal parameters: DLT(5,6)
                                                        ^--------


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27)
Time: Sun Mar 14 12:16:55 2004

Input: f(a,b)=a^3+27b^2;
f(5,6)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: f(a,b)=a^3+27b^2;
                                        ^----

  ***   unknown function or error in formal parameters: f(5,6)
                                                        ^------


Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27)
Time: Sun Mar 14 12:16:59 2004

Input: f(a,b)=a^3+27b^2
f(5,6)

Output: 
Errors (if any) and Timing Info:  ***   unused characters: f(a,b)=a^3+27b^2
                                        ^---

  ***   unknown function or error in formal parameters: f(5,6)
                                                        ^------


Timing:
real	0m0.064s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 15:17:05 2004

Input: isfundamental(-20)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:05:40 2004

Input: K=nfinit(x^2+1)

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:06:13 2004

Input: K=nfinit(x^2+1)
K.pol

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:07:10 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:07:48 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc
k=K

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4
[x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:08:17 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc
k=K
k.zn

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4
[x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]

Errors (if any) and Timing Info:  ***   unknown member function: k.zn
                                   ^--


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:08:55 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc
k=K
k.zk

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4
[x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
[1, x]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:09:37 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc
k=K
k.zk
k[1]

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4
[x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
[1, x]
x^2 + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:10:04 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc
k=K
k.zk
k[1]
k[2]

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4
[x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
[1, x]
x^2 + 1
[0, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157)
Time: Sun Mar 14 16:10:41 2004

Input: K=nfinit(x^2+1)
K.pol
K.disc
k=K
k.zk
k[1]
k[2]
k[1]

Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
x^2 + 1
-4
[x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
[1, x]
x^2 + 1
[0, 1]
x^2 + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:38:57 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:39:17 2004

Input: 122!

Output: 98750442008336013624115798714482080125644041369783596059584700502676714572050143649033796427745042294071023050579626404736512939596842694895821378210620013388054747214795243520000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:39:27 2004

Input: 1212!

Output: 604135383188240660162062201902983115620134526741683204183911779118376949163304900218275305254509836515199782057180412858675500826884011235948149341010090980180274578980636101845437920995072691843657518709215170925709674182944495490951285259529977633701541144218281803803537959815544355268213913396390421869716387966803332531644779549110444732848274145526192540229891468232088152026709472627474511831824106731741959500133420588681367116055608266812366211583464206097744064369252695048258432210489179654857549669504400984774521801046787591227929812681147672247269091290078587854587894279178430462981182873167424375398652349349950617741213838868888476975961247481555790007344520321583025497948787119945934987231774618732823592977506933414425251648207264342096535937157445957748482187824154064989544797240302950523305071725098909535688444534749939018291587951517624228147485571759396196844881344069074482073516569806603122258796892676181897059223623323951675449971395654133549307796320790071187549964446531802102599465744452613329799380263551424297773839747577708393709721602278651986554998799368150511993092622604086541075260839011391772900015290353281728303385621620548377926001091013674144000318195738914000698936354529041123536852072557245346396082900701657121196312892982029238781041922228277173361938152060889731666592910689952132259430838959873632980060225490248397139089330829148775050765787254246221934518591947183215796108790561392837398829002822672807001171361521652666054321523238547369993013012867514604294805339303644925569982736204364762281108099123692564799189494088288933071586431945221833286560626235788996782480300823674982751757496674577130415325590376492548519056938070779334696628910788254693242392863833405082053469663636557208429759336773648992156180915146011472550621735477947899339207003335213729468116977443037801449594663833259613975065554754395986473716973328865329256765659326597302156347277650266275857205587204608650231804595179090112815019416337908939366499162882049680331375432778205639072617130688880168760917828683607051387609848104841763358931770274637619518604269181593557474029250361143081859217298812202155145140283999553645065043462938475676539396888295702868821150742892874917029673720301983851934472962731599190203693381108999014008289316851506165206479687810486801689969810929591360036526458557053207627804733847255913723564821613316025292994466039907861576134871927829632710978411569999272468130341241816159062450500600650422332381288330648233325764929642309437916084484753600682064961187124442884533554075063228483741631241648253675589740699802834321381421567993515082152236738824200322896547132124477225212441324503517262759609759456701410012097210588567575248307542112698560698403339656184729975928246324245420730437245839335633333199919498405446187802154080505058719571548160606589856510781721458438619152417186144905161302475452720205341707028745264543137488013623296000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:39:35 2004

Input: 1212!*1.

Output: 6.041353831882406601620622018 E3212

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:39:43 2004

Input: 12112!*1.

Output: 1.501268853775173435672530051 E44198

Errors (if any) and Timing Info:
Timing:
real	0m0.112s
user	0m0.100s
sys	0m0.010s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:39:54 2004

Input: 20000!*1.

Output: 1.819206320230345134827641756 E77337

Errors (if any) and Timing Info:
Timing:
real	0m0.194s
user	0m0.130s
sys	0m0.060s


************** PARI *****************
Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248)
Time: Sun Mar 14 18:40:37 2004

Input: 200000!*1.

Output: 1.420225345470314404966946333 E973350

Errors (if any) and Timing Info:
Timing:
real	0m7.652s
user	0m7.610s
sys	0m0.040s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:19:46 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:20:02 2004

Input: 2�

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 2�
                            ^-


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:20:11 2004

Input: 2^2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:20:35 2004

Input: cos(x)^2+sin(x)^2

Output: 1 + O(x^17)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:21:12 2004

Input: matrix(1,2,3;4,5,6;7,8,9)

Output: 
Errors (if any) and Timing Info:  ***   variable name expected: matrix(1,2,3;4,5,6;7,8,9)
                                           ^--------------


Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:21:21 2004

Input: G=matrix(1,2,3;4,5,6;7,8,9)

Output: 
Errors (if any) and Timing Info:  ***   variable name expected: G=matrix(1,2,3;4,5,6;7,8,9)
                                             ^--------------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:22:57 2004

Input: inverse(matrix(1,2,3;4,5,6;7,8,9))

Output: 
Errors (if any) and Timing Info:  ***   variable name expected: inverse(matrix(1,2,3;4,5,6;7,8,9))
                                                   ^---------------


Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhcp-214-040.ethz.ch. (129.132.214.40)
Time: Mon Mar 15 08:23:41 2004

Input: inverse(matrix(1,2,3;4,5,6;7,8,9))

Output: 
Errors (if any) and Timing Info:  ***   variable name expected: inverse(matrix(1,2,3;4,5,6;7,8,9))
                                                   ^---------------


Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host host117-168.pool8249.interbusiness.it. (82.49.168.117)
Time: Mon Mar 15 15:42:41 2004

Input: factor(100000003)


Output: 
[643 1]

[155521 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (204.76.113.254)
Time: Mon Mar 15 17:20:20 2004

Input: x+(x/100*15)=17000

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x+(x/100*15)=17000
                                          ^------


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (204.76.113.254)
Time: Mon Mar 15 17:21:41 2004

Input: x*x

Output: x^2

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host213-123-166-1.in-addr.btopenworld.com. (213.123.166.1)
Time: Tue Mar 16 05:05:51 2004

Input: sdsdasda

Output: sdsdasda

Errors (if any) and Timing Info:
Timing:
real	0m0.206s
user	0m0.050s
sys	0m0.130s


************** PARI *****************
Host aula-b-siee113.uab.es. (158.109.66.113)
Time: Wed Mar 17 05:27:55 2004

Input: /*Sessio 2*/

/*Pregunta 1*/
/*Apartat 1*/
G2 := GF(2); G3 := GF(3); G5 := GF(5);


/*Apartat 2*/
/* Z9 no es un cos, ja que nou no es un nombre primer */
Z9:=Integers(9);
/* [a]m pertanyent a Zm es invertible sii mcd(a,m)=1*/
IsInvertible(Z9!3);

/*Apartat 3*/
s<alpha>:=GF(3,2);
p<x>:=PolynomialRing(s);
f:= 2+2*x+x^2;
Factorization(f);
Roots(f,s);
IsIrreducible(f);

s1<alpha>:=GF(2,4);
p1<x>:=PolynomialRing(s1);
f1:= 1+x+x^4;
Factorization(f1);
Roots(f1,s1);
IsIrreducible(f1);

s2<alpha>:=GF(5,2);
p2<x>:=PolynomialRing(s2);
f2:= 3+2*x+x^2;
Factorization(f2);
Roots(f2,s2);
IsIrreducible(f2);

s3<alpha>:=GF(3,2);
p3<x>:=PolynomialRing(s3);
f3:= 1+2*x+x^2;
Factorization(f3);
Roots(f3);
IsIrreducible(f3);



Output: 
Errors (if any) and Timing Info:  ***   unexpected character: G2:=GF(2);G3:=GF(3);G5:
                                 ^--------------------

  ***   unexpected character: Z9:=Integers(9);
                                 ^-------------

  ***   expected character: ',' instead of: IsInvertible(Z9!3);
                                                            ^---

  ***   unexpected character: s<alpha>:=GF(3,2);
                                      ^----------

  ***   unexpected character: p<x>:=PolynomialRing(s);
                                  ^--------------------

  ***   unexpected character: f:=2+2*x+x^2;
                                ^-----------

  ***   expected character: '=' instead of: Factorization(f);
                                                            ^-

  ***   expected character: '=' instead of: Roots(f,s);
                                                      ^-

  ***   expected character: '=' instead of: IsIrreducible(f);
                                                            ^-

  ***   unexpected character: s1<alpha>:=GF(2,4);
                                       ^----------

  ***   unexpected character: p1<x>:=PolynomialRing(s1)
                                   ^--------------------

  ***   unexpected character: f1:=1+x+x^4;
                                 ^---------

  ***   expected character: '=' instead of: Factorization(f1);
                                                             ^-

  ***   expected character: '=' instead of: Roots(f1,s1);
                                                        ^-

  ***   expected character: '=' instead of: IsIrreducible(f1);
                                                             ^-

  ***   unexpected character: s2<alpha>:=GF(5,2);
                                       ^----------

  ***   unexpected character: p2<x>:=PolynomialRing(s2)
                                   ^--------------------

  ***   unexpected character: f2:=3+2*x+x^2;
                                 ^-----------

  ***   expected character: '=' instead of: Factorization(f2);
                                                             ^-

  ***   expected character: '=' instead of: Roots(f2,s2);
                                                        ^-

  ***   expected character: '=' instead of: IsIrreducible(f2);
                                                             ^-

  ***   unexpected character: s3<alpha>:=GF(3,2);
                                       ^----------

  ***   unexpected character: p3<x>:=PolynomialRing(s3)
                                   ^--------------------

  ***   unexpected character: f3:=1+2*x+x^2;
                                 ^-----------

  ***   expected character: '=' instead of: Factorization(f3);
                                                             ^-

  ***   expected character: '=' instead of: Roots(f3);
                                                     ^-

  ***   expected character: '=' instead of: IsIrreducible(f3);
                                                             ^-


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host h0050da316214.ne.client2.attbi.com. (65.96.168.112)
Time: Wed Mar 17 06:56:01 2004

Input: 1+1


Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host h0050da316214.ne.client2.attbi.com. (65.96.168.112)
Time: Wed Mar 17 06:56:13 2004

Input: 1+1


Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host sl-5.splius.lt. (62.80.224.5)
Time: Wed Mar 17 10:52:42 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host sl-5.splius.lt. (62.80.224.5)
Time: Wed Mar 17 10:52:46 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host sl-5.splius.lt. (62.80.224.5)
Time: Wed Mar 17 10:53:07 2004

Input: simas

Output: simas

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host sl-5.splius.lt. (62.80.224.5)
Time: Wed Mar 17 10:53:38 2004

Input: 123

Output: 123

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host sl-5.splius.lt. (62.80.224.5)
Time: Wed Mar 17 10:54:17 2004

Input: 123451232132132132465465465498654654564

Output: 123451232132132132465465465498654654564

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (193.194.89.11)
Time: Wed Mar 17 11:05:33 2004

Input: series(tan(x),x=0,5);



Output: 
Errors (if any) and Timing Info:  ***   obsolete function: series(tan(x),x=0,5)
                           ^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: series(x,v) ===> Ser(x,v)

Ser(x,{v=x}): convert x (usually a vector) into a power series with variable 
v, starting with the constant coefficient.



Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (12.154.53.15)
Time: Thu Mar 18 11:40:24 2004

Input: 1234!

Output: 51084981466469576881306176261004598750272741624636207875758364885679783886389114119904367398214909451616865959797190085595957216060201081790863562740711392408402606162284424347926444168293770306459877429620549980121621880068812119922825565603750036793657428476498577316887890689284884464423522469162924654419945496940052746066950867784084753581540148194316888303839694860870357008235525028115281402379270279446743097868896180567901452872031734195056432576568754346528258569883526859826727735838654082246721751819658052692396270611348013013786739320229706009940781025586038809493013992111030432473321532228589636150722621360366978607484692870955691740723349227220367512994355146567475980006373400215826077949494335370591623671142026957923937669224771617167959359650439966392673073180139376563073706562200771241291710828132078928672693377605280698340976512622686207175259108984253979970269330591951400265868944014001740606398220709859461709972092316953639707607509036387468655214963966625322700932867195641466506305265122238332824677892386098873045477946570475614470735681011537762930068333229753461311175690053190276217215938122229254011663319535668562288276814566536254139944327446923749675156838399258655227114181067181300031191298489076680172983118121156086627360397334232174932132686080901569496392129263706595509472541921027039947595787992209537069031379517112985804276412719491334730247762876260753560199012424360211862466047511184797159731714330368251192307852167757615200611669009575630075581632200897019110165738489288234845801413542090086926381756642228872729319587724120647133695447658709466047131787467521648967375146176025775545958018149895570817463048968329692812003996105944812538484291689075721849889797647554854834050132592317503861422078077932841396250772305892378304960421024845815047928229669342818218960243579473180986996883486164613586224677782405363675732940386436560159992961462550218529921214223556288943276860000631422449845365510986932611414112386178573447134236164502410346254516421812825350152383907925299199371093902393126317590337340371199288380603694517035662665827287352023563128756402516081749705325705196477769315311164029733067419282135214232605607889159739038923579732630816548135472123812968829466513428484683760888731900685205308016495533252055718190142644320009683032677163609744614629730631454898167462966265387871725580083514565623719270635683662268663333999029883429331462872848995229714115709023973771126468913873648061531223428749576267079084534656923514931496743842559669386638509884709307166187205161445819828263679270112614012378542273837296427044021252077863706963514486218183806491868791174785424506337810550453063897866281127060200866754011181906809870372032953354528699094096145120997842075109057859226120844176454175393781254004382091350994101959406590175402086698874583611581937347003423449521223245166665792257252160462357733000925232292157683100179557359793926298007588370474068230320921987459976042606283566005158202572800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.085s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (12.154.53.15)
Time: Thu Mar 18 11:41:13 2004

Input: 12345!*1.

Output: 3.443642469186782391615821592 E45150

Errors (if any) and Timing Info:
Timing:
real	0m0.116s
user	0m0.110s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (12.154.53.15)
Time: Thu Mar 18 11:41:54 2004

Input: 123456!*1.

Output: 2.604069904929137872951393056 E574964

Errors (if any) and Timing Info:
Timing:
real	0m3.182s
user	0m3.110s
sys	0m0.070s


************** PARI *****************
Host dsl81-215-29661.adsl.ttnet.net.tr. (81.215.115.221)
Time: Thu Mar 18 14:14:39 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dsl81-215-29661.adsl.ttnet.net.tr. (81.215.115.221)
Time: Thu Mar 18 14:15:37 2004

Input:  UEUHF88RFEII9	IIFG9I	43FUJ9RIFIU8239	92FR9IH8U4RJU

Output: UEUHF88RFEII9IIFG9I43FUJ9RIFIU823992FR9IH8U4RJU

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 66-126-189-162.centralsan.dst.ca.us. (66.126.189.162)
Time: Thu Mar 18 14:47:34 2004

Input: log(131071)

Output: 11.78349444009543503160562870

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-67-163-82-183.client.comcast.net. (67.163.82.183)
Time: Thu Mar 18 20:28:06 2004

Input: x=2y^3-y^4

Output: 
Errors (if any) and Timing Info:  ***   unused characters: x=2y^3-y^4
                              ^-------


Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Thu Mar 18 23:09:55 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+x+t;
print(f);
G, R:= GaloisGroup(f);
print(G);
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+x+t;
                                ^---------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Thu Mar 18 23:12:13 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+x^3-t^2;
print(f);
G, R:= GaloisGroup(f);
print(G);
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+x^3-t^2;
                                ^-------------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Thu Mar 18 23:19:52 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+2*x^3+x^2-t^2;
print(f);
G, R:= GaloisGroup(f);
print(G);
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+2*x^3+x^2-t^2;
                                ^-------------------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Fri Mar 19 00:11:26 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+x^4+x^3-t^2;
print(f);
G, R:= GaloisGroup(f);
print(G);
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+x^4+x^3-t^2;
                                ^-----------------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Fri Mar 19 00:28:39 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+t*x^4+x^3-t^2;
print(f);
G, R:= GaloisGroup(f);
print(G);
print(Order(G));
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+t*x^4+x^3-t^2;
                                ^-------------------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   expected character: '=' instead of: print(Order(G));
                                                          ^--

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Fri Mar 19 01:07:19 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+x^4+t^2*x^3-t^2;
print(f);
G, R:= GaloisGroup(f);
print(G);
print(Order(G));
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+x^4+t^2*x^3-t^2
                                ^--------------------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   expected character: '=' instead of: print(Order(G));
                                                          ^--

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Fri Mar 19 01:11:38 2004

Input: P<t>:= FunctionField(GF(3));
Q<x>:= PolynomialRing(P);
f:=x^6+t*x^4+x^3-t^2;
print(f);
G, R:= GaloisGroup(f);
print(G);
print(Order(G));
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<t>:=FunctionField(GF(3
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6+t*x^4+x^3-t^2;
                                ^-------------------

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   expected character: '=' instead of: print(Order(G));
                                                          ^--

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pool-151-201-57-45.pitt.east.verizon.net. (151.201.57.45)
Time: Fri Mar 19 03:33:43 2004

Input: > P<x,y,z,w> := PolynomialRing(IntegerRing(), 4);
> I := ideal<P| (x*y)^2+(z*w)^2>;
> GroebnerBasis(I);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: >P<x,y,z,w>:=Polynom
                              ^--------------------

  ***   unexpected character: >I:=ideal<P|(x*y)^2+
                              ^--------------------

  ***   unexpected character: >GroebnerBasis(I);
                              ^------------------


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ALagny-102-1-3-199.w80-11.abo.wanadoo.fr. (80.11.127.199)
Time: Fri Mar 19 08:46:32 2004

Input: (a+b)*(c+d)

Output: (c + d)*a + (c + d)*b

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ALagny-102-1-3-199.w80-11.abo.wanadoo.fr. (80.11.127.199)
Time: Fri Mar 19 08:47:02 2004

Input: expand((a+b)*(c+d))

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: expand((a+b)*(c+d))
                                                        ^-------------------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ALagny-102-1-3-199.w80-11.abo.wanadoo.fr. (80.11.127.199)
Time: Fri Mar 19 08:47:14 2004

Input: simplify((a+b)*(c+d))

Output: (c + d)*a + (c + d)*b

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host gw1.btc.transwitch.com. (63.149.68.2)
Time: Fri Mar 19 12:13:02 2004

Input: R<x> := PolynomialRing(RationalField());TransitiveGroupIdentification(GaloisGroup(x^16 + 14*x^8 - 1));


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: R<x>:=PolynomialRing(Rat
                                  ^--------------------


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host v198-169-189-225.online-age.net. (198.169.189.225)
Time: Fri Mar 19 15:26:23 2004

Input: 5*a+9*b + (2*(2*a+5*b))

Output: 9*a + 19*b

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host ppp-62-11-143-127.dialup.tiscali.it. (62.11.143.127)
Time: Sat Mar 20 05:24:45 2004

Input: a:=[1,2,3,21,3,13,1,31]


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a:=[1,2,3,21,3,13,1,31
                                ^--------------------


Timing:
real	0m0.079s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host ppp-62-11-143-127.dialup.tiscali.it. (62.11.143.127)
Time: Sat Mar 20 05:25:06 2004

Input: [1,2,3,21,3,13,1,31]*3



Output: [3, 6, 9, 63, 9, 39, 3, 93]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ppp-62-11-143-127.dialup.tiscali.it. (62.11.143.127)
Time: Sat Mar 20 05:25:41 2004

Input: LLL([1,2,3,21,3,13,1,31])



Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: LLL([1,2,3,21,3,13,1
                                                        ^--------------------


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ANeuilly-109-1-9-141.w81-50.abo.wanadoo.fr. (81.50.59.141)
Time: Sat Mar 20 12:20:16 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host229-46.pool8249.interbusiness.it. (82.49.46.229)
Time: Sat Mar 20 13:42:06 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.020s
sys	0m0.020s


************** PARI *****************
Host host229-46.pool8249.interbusiness.it. (82.49.46.229)
Time: Sat Mar 20 13:42:14 2004

Input: 1+1

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host229-46.pool8249.interbusiness.it. (82.49.46.229)
Time: Sat Mar 20 13:42:34 2004

Input: x+1=0

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x+1=0
                                 ^--


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:29:32 2004

Input: 5

Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:29:41 2004

Input: 2^128

Output: 340282366920938463463374607431768211456

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:30:03 2004

Input: (2^165*2)

Output: 93536104789177786765035829293842113257979682750464

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:30:13 2004

Input: (2^165*2)/2

Output: 46768052394588893382517914646921056628989841375232

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:30:37 2004

Input: 2^(1/2)

Output: 1.414213562373095048801688724

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:30:46 2004

Input: 2^(1/2)

Output: 1.414213562373095048801688724

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.030s
sys	0m0.050s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:31:07 2004

Input: 2^(1/2*2)

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:31:15 2004

Input: 2^1/2

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55)
Time: Sat Mar 20 20:32:19 2004

Input: ((2^165*3^110*5^66*11^30)/2)^(1/2)

Output: 4.102315656295094910051650796 E89

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 200-153-190-163.dsl.telesp.net.br. (200.153.190.163)
Time: Sun Mar 21 09:33:23 2004

Input: Miguel Angel Hernandez Torres

Output: MiguelAngelHernandezTorres

Errors (if any) and Timing Info:
Timing:
real	0m0.098s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 200-153-190-163.dsl.telesp.net.br. (200.153.190.163)
Time: Sun Mar 21 09:33:39 2004

Input: 2=3

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 2=3
                               ^--


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-67-169-131-252.client.comcast.net. (67.169.131.252)
Time: Sun Mar 21 15:15:38 2004

Input: a(n)= { return(((2*n)!/(n!*2^n))^2) }
a(3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a(n)={return(((2*n)!/(n!*
                                   ^--------------------

  ***   unknown function or error in formal parameters: a(3)
                                                        ^----


Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host c-67-169-131-252.client.comcast.net. (67.169.131.252)
Time: Sun Mar 21 15:15:52 2004

Input: a(n)= { return(((2*n)!/(n!*2^n))^2) };
a(3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a(n)={return(((2*n)!/(n!*
                                   ^--------------------

  ***   unknown function or error in formal parameters: a(3)
                                                        ^----


Timing:
real	0m0.057s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host c-67-169-131-252.client.comcast.net. (67.169.131.252)
Time: Sun Mar 21 15:16:57 2004

Input: a(n)= { n=n2+1; return(((2*n)!/(n!*2^n))^2) }
a(3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a(n)={n=n2+1;return(((2*n
                                   ^--------------------

  ***   unknown function or error in formal parameters: a(3)
                                                        ^----


Timing:
real	0m0.054s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host c-67-169-131-252.client.comcast.net. (67.169.131.252)
Time: Sun Mar 21 15:17:32 2004

Input: a(n)= { n=n2+1; return(((2*n)!/(n!*2^n))^2) }
a(3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a(n)={n=n2+1;return(((2*n
                                   ^--------------------

  ***   unknown function or error in formal parameters: a(3)
                                                        ^----


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-67-169-131-252.client.comcast.net. (67.169.131.252)
Time: Sun Mar 21 15:17:42 2004

Input: a(n)= { n=n2+1; return(((2*n)!/(n!*2^n))^2) }
a(3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a(n)={n=n2+1;return(((2*n
                                   ^--------------------

  ***   unknown function or error in formal parameters: a(3)
                                                        ^----


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 2(SERVFAIL) (202.112.84.90)
Time: Mon Mar 22 03:19:32 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host tweedledum.its.utas.edu.au. (131.217.6.3)
Time: Tue Mar 23 03:02:44 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host robserve.STUDFB.UniBw-Muenchen.de. (137.193.211.43)
Time: Tue Mar 23 13:42:34 2004

Input: F7<x> := PolynomialRing(FiniteField(7));
C := HyperellipticCurve(x^3-1);
ZetaFunction(C);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: F7<x>:=PolynomialRing(Fin
                                   ^--------------------

  ***   unexpected character: C:=HyperellipticCurve(
                                ^--------------------

  ***   expected character: '=' instead of: ZetaFunction(C);
                                                           ^-


Timing:
real	0m0.103s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host proxy.aic.net. (195.250.64.76)
Time: Tue Mar 23 13:57:33 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c211-28-55-6.brodm1.vic.optusnet.com.au. (211.28.55.6)
Time: Tue Mar 23 18:17:40 2004

Input: 2+3;



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c211-28-55-6.brodm1.vic.optusnet.com.au. (211.28.55.6)
Time: Tue Mar 23 18:18:17 2004

Input: a:=3;
a+3;


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a:=3;
                                ^---


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host A17-64-46-46.apple.com. (17.64.46.46)
Time: Tue Mar 23 19:49:37 2004

Input: ln(2^2048)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: ln(2^2048)
                           ^----------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: ln(x) ===> log(x)

log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0: 
default, or 1: calls logagm, computed using the agm.



Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE0004e2574a13-CM014120007623.cpe.net.cable.rogers.com. (24.103.3.214)
Time: Tue Mar 23 22:25:36 2004

Input: 5+5


Output: 10

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE0004e2574a13-CM014120007623.cpe.net.cable.rogers.com. (24.103.3.214)
Time: Tue Mar 23 22:25:57 2004

Input: 0xba12^2

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 0xba12^2
                            ^-------


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE0004e2574a13-CM014120007623.cpe.net.cable.rogers.com. (24.103.3.214)
Time: Tue Mar 23 22:26:33 2004

Input: 3^4

Output: 81

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host roam161-215.student.harvard.edu. (140.247.161.215)
Time: Wed Mar 24 01:19:42 2004

Input: ?integral

Output: 
Errors (if any) and Timing Info:  ***   integral: unknown identifier.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host roam161-215.student.harvard.edu. (140.247.161.215)
Time: Wed Mar 24 01:19:51 2004

Input: ?Integral

Output: 
Errors (if any) and Timing Info:  ***   Integral: unknown identifier.

Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host roam161-215.student.harvard.edu. (140.247.161.215)
Time: Wed Mar 24 01:19:57 2004

Input: ?int

Output: 
Errors (if any) and Timing Info:  ***   int: unknown identifier.

Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 2(SERVFAIL) (150.150.6.201)
Time: Wed Mar 24 04:53:16 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 2(SERVFAIL) (150.150.6.201)
Time: Wed Mar 24 04:53:29 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
3*5

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
15

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host fwsmb10.nlb.si. (193.201.212.157)
Time: Wed Mar 24 05:36:40 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host cfpbc1.gs.com. (204.4.130.140)
Time: Wed Mar 24 08:08:02 2004

Input: 2+3

Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host cfpbc1.gs.com. (204.4.130.140)
Time: Wed Mar 24 08:08:27 2004

Input: 2^3+3

Output: 11

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 80.58.4.42.proxycache.rima-tde.net. (80.58.4.42)
Time: Wed Mar 24 12:49:38 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.010s
sys	0m0.050s


************** PARI *****************
Host imsbbcf07.netvigator.com. (219.76.64.3)
Time: Wed Mar 24 13:56:25 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pcd595076.netvigator.com. (218.102.127.76)
Time: Wed Mar 24 13:57:28 2004

Input: 13^11791 mod 18865

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 13^11791mod18865
                                   ^--------


Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host sartre.math.psu.edu. (146.186.131.109)
Time: Wed Mar 24 14:43:57 2004

Input: P<b>:= FunctionField(GF(5));
Q<x>:= PolynomialRing(P);
c=0; d=0;
f:=x^6
  +2*c*x^5
  +(2+2*c+c^2-4*b*d)*x^4
  +(2+4*b+2*c+2*c^2-4*d-8*b*d)*x^3
  +(5+12*b+4*c+c^2-4*b*d)*x^2
  +(6+12*b+2*c)*x
  +(4*b+1);
print(f);
G, R:= GaloisGroup(f);
print(G);
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

Output: 0
2*x^4
(4*b + 2)*x^3
(12*b + 5)*x^2
(12*b + 6)*x
f
G
t1
t2

Errors (if any) and Timing Info:  ***   unexpected character: P<b>:=FunctionField(GF(5
                                  ^--------------------

  ***   unexpected character: Q<x>:=PolynomialRing(P);
                                  ^--------------------

  ***   unexpected character: f:=x^6
                                ^----

  ***   unused characters: G,R:=GaloisGroup(f);
                            ^-------------------

  ***   unused characters: t1,t2:=TransitiveGroup
                             ^--------------------


Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pcd595076.netvigator.com. (218.102.127.76)
Time: Thu Mar 25 00:51:18 2004

Input: 108809 mod 291452

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 108809mod291452
                                 ^---------


Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:02:30 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.082s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:02:52 2004

Input: mod(x^6-1,x^2+2)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(x^6-1,x^2+2)
                           ^----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: mod(x,y) ===> Mod(x,y)

Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 
0: default, creates on the Pari stack, or 1: creates a permanent object on the 
heap.



Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:03:07 2004

Input: Mod(x^6-1,x^2+2)

Output: Mod(-9, x^2 + 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:03:29 2004

Input: Mod(x^2+3,x-4)

Output: Mod(19, x - 4)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:04:16 2004

Input: 3+4

Output: 7

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:04:39 2004

Input: Mod(12*x^6,x-2)

Output: Mod(768, x - 2)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:05:11 2004

Input: Mod(100,7)

Output: Mod(2, 7)

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:05:33 2004

Input: Mod(x^5-1,x^2+x+1)

Output: Mod(-x - 2, x^2 + x + 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:05:41 2004

Input: Mod(x^15-1,x^2+x+1)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:05:53 2004

Input: Mod(x^5+x^3-1,x^2+x+1)

Output: Mod(-x - 1, x^2 + x + 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:06:22 2004

Input: Mod((x-1)^7,x^3+x+1)

Output: Mod(-12*x^2 + 14*x - 23, x^3 + x + 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:06:43 2004

Input: Mod((x-1)^561,x^6-1)

Output: Mod(1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^5 - 1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^4 + 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442325*x^3 - 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x^2 + 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x - 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442325, x^6 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.096s
user	0m0.090s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:08:54 2004

Input: Mod(  1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126  , 561 ).


Output: 
Errors (if any) and Timing Info:  ***   unknown member function: ...7220958989086813126,561).
                                                             ^


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:17:53 2004

Input: Mod(  (x^561-1) - (x-1)^561 , x^6 - 1 )


Output: Mod(-1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^5 + 1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^4 - 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442324*x^3 + 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x^2 - 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x + 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442324, x^6 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.095s
user	0m0.080s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:19:48 2004

Input: Mod(  (x^561-1) - (x-1)^561 , x^2 - 1 )


Output: Mod(-3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326975*x + 3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326975, x^2 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.094s
user	0m0.080s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Mar 25 18:23:26 2004

Input: Mod(  (x^561-1) - (x-1)^561 , x^3 - 1 )


Output: Mod(-39260092771818149473052557510879008881531271834245376524351437833098473006934585226108508724996140473513172757995825977888878576741601*x^2 + 39260092771818149473052557510879008881531271834245376524351437833098473006934585226108508724996140473513172757995825977888878576741601*x, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.096s
user	0m0.080s
sys	0m0.010s


************** PARI *****************
Host a212-113-164-105.netcabo.pt. (212.113.164.105)
Time: Thu Mar 25 19:08:19 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host a212-113-164-105.netcabo.pt. (212.113.164.105)
Time: Thu Mar 25 19:11:47 2004

Input: /*
 *  An implementation of the Number Field Sieve as described in
 *  "Factoring Integers with the Number Field Sieve" by J.P. Buhler,
 *  H.W. Lenstra, and Carl Pomerance.  (Algorithm 11.1)
 *
 *  This code is not at all optimized - it is demonstration of the
 *  Magma computer algebra package, and to for people who want to
 *  learn the Number Field Sieve algorithm or how to code it.  Note
 *  that the algebraic square root code is available only for the
 *  most recent release of Magma.
 *
 *  This code is best demonstrated for numbers around 20-digits.
 *  Larger numbers will cause the program to take up too much memory,
 *  and numbers that are too small do not work well with this algorithm.
 *
 *  "print" statements that can be ommitted are left justified.
 *
 *  by Contini - Fri March 3rd, 2000.
 */

function SelectPolynomial(n);
    /* select a degree according to the asymptotic formula */
    d := Round( Root( 3 * Log(n)/Log(Log(n)) , 3 ) );
print "degree ", d;

    m := Iroot( n, d );
print "m := ", m, ";";

    coeffs := [];
    for i := d to 0 by -1 do
	temp2 := m^i;
	coeff := n div temp2;
	/* Append (~coeffs, coeff); */
	coeffs[i+1] := coeff;
	n -:= coeff*temp2;
    end for;

    P<X> := PolynomialRing( IntegerRing() );
    f := P!coeffs;
    return f, m, d;

end function;


procedure RationalSieve( ~sieve_array, y, FB, log_primes, ~prev_roots,
  m_mod_p, sieve_len);
    /*  
     *  RATIONAL SIEVE
     */
    sieve_array := [0 : i in [1..sieve_len]];

    for i in [1..#FB] do
	p := FB[i];
	logp := log_primes[i];
	/*
	 *  Compute  loc  - the first location in the sieve array
	 *  where  p  divides the corresponding residue
	 */
	loc := prev_roots[i] - m_mod_p[i];
	if loc lt 0 then
	    loc +:= p;
	end if;
	prev_roots[i] := loc;
	/*  sieve begins at location 1, so skip location 0 */
	if loc eq 0 then
	    loc := p;
	end if;

	/*  MAIN SIEVE LOOP  */
	while loc le sieve_len do
	    sieve_array[loc] +:= logp;
	    loc +:= p;
	end while;

    end for;

end procedure;


procedure AlgebraicSieve( ~nf_sieve_array, y, ~nf_prev_roots, log_primes,
  R_p_set, sieve_len );
    /*  
     *  NUMBER FIELD SIEVE
     */
    nf_sieve_array := [0 : i in [1..sieve_len]];
    for i in [1..#R_p_set] do
	R_p := R_p_set[i];
	p := R_p[1];
	r := R_p[2];
	logp := R_p[3];

	loc := nf_prev_roots[i] - r;
	if loc lt 0 then
	    loc +:= p;
	end if;
	nf_prev_roots[i] := loc;
	if loc eq 0 then
	    loc := p;
	end if;

	/*  MAIN SIEVE LOOP  */
	while loc le sieve_len do
	    nf_sieve_array[loc] +:= logp;
	    loc +:= p;
	end while;

    end for;
end procedure;


procedure ScanSieveArray( J, b, bm, y, d, sieve_array, nf_sieve_array,
  error_term, ~num_rels, sieve_len, ~M, FB, prev_roots, nf_prev_roots,
  R_p_set, enough_rels, ~smooth_alg_elts, char_cols, char_offset );
	/*  scan sieve array
	 */
    threshold := Round( Log( bm ) ) - error_term;
    zero := [0: i in [1..d]];
    x := zero;
    x[1] := 1; x[2] := b;
    nf_threshold := Round( Log( Abs( Norm( J!x ) ) ) ) - error_term;
    for a in [1..sieve_len] do
	if sieve_array[a] ge threshold then
	    /*  rational side appears to be smooth */
	    if nf_sieve_array[a] ge nf_threshold then
		/*  number field side appears to be smooth */
		if Gcd(b, a) ne 1 then
		    /*  relation is redundant */
		    continue;
		end if;

		/*  see if it really is smooth */
		relation := [];
		rational_side := a + bm;
		for i in [1..#FB] do
		    p := FB[i];
		    if a mod p eq prev_roots[i] then
			e := 0;
			quot, rem := Quotrem( rational_side, p );
			repeat
			    rational_side := quot;
			    e +:= 1;
			    quot, rem := Quotrem( rational_side, p );
			until rem ne 0;
			Append( ~relation, [i, e] );
		    end if;
		end for;
		if Abs(rational_side) ne 1 then
		    /*  rational side is not smooth :-( */
		    continue;
		end if;

		/*  try algebraic side */
		x := zero;
		x[1] := a; x[2] := b;
		alg_elt := J!x;
		norm := IntegerRing()!Norm(alg_elt);

		for i in [1..#R_p_set] do
		    R_p := R_p_set[i];
		    p := R_p[1];
		    if a mod p eq nf_prev_roots[i] then
			e := 0;
			quot, rem := Quotrem( norm, p );
			repeat
			    norm := quot;
			    e +:= 1;
			    quot, rem := Quotrem( norm, p );
			until rem ne 0;
			Append( ~relation, [i+#FB, e] );
		    end if;
		end for;
		if Abs(norm) ne 1 then
		    /*  algebraic side is not smooth :-( */
		    continue;
		end if;

		/*  The relation is a keeper! */
print "a := ", a, "; b:= ", b,";";
		num_rels +:= 1;

		/*  Compute the character columns corresponding to
		    alg_elt  */
		for i in [1..#char_cols] do
		    p := char_cols[i][1];
		    r := char_cols[i][2];
		    if LegendreSymbol( (a + b*r) mod p, p ) eq -1 then
			M[num_rels, i + char_offset] := 1;
		    end if;
		end for;

		/*  store the algebraic element */
		Append( ~smooth_alg_elts, alg_elt );

		/*  store relation in matrix */
		for j in [1..#relation] do
		    M[num_rels, relation[j, 1]] := relation[j, 2];
		end for;

		if num_rels eq enough_rels then
		    break;
		end if;

		/*  update the  nf_threshold  - since the norms
		    grow somewhat quickly, we waste a lot of time
		    on false reports if this update is not made */
		x := zero;
		x[1] := a; x[2] := b;
		nf_threshold := Round( Log( Abs( Norm( J!x ) ) ) );
		nf_threshold -:= error_term;
	    end if;
	end if;
    end for;
end procedure;


function NFS( n )

    f, m, d := SelectPolynomial(n);
    fprime := Derivative( f );

    J<alpha> := NumberField( f );

    /*  choose  y  - the bound for smoothness  */
    dlogd := d*Log(d);
    temp := 1.0/d * Log( n );
    e := dlogd + Sqrt( dlogd^2 + 4*temp*Log(temp) );
    y := Round( Exp( 0.5*e ) );
    print "smoothness bound is ", y;

    /*  prepare data for rational sieve */
    FB := [p : p in [2..y] | IsPrime( p ) ];
    log_primes := [Round(Log(p)) : p in FB];
    prev_roots := [0: p in FB];
    m_mod_p := [m mod p: p in FB];

    /*  prepare data for the algebraic sieve */
    cols := #FB;
    R_p_set := [];
    nf_prev_roots := [];
    for p in FB do
	K := GF(p);
	roots_mod_p := Roots( f, K );
	for i in [1..#roots_mod_p] do
	    r := IntegerRing()!roots_mod_p[i][1];
	    /*  also include the rounded logarithm of  p  in the storage */
	    Append( ~R_p_set, [p, r, Round(Log(p))] );
	    Append( ~nf_prev_roots, 0 );
	    cols +:= 1;
	end for;
    end for;
    smooth_alg_elts := [];

    /*  create the character columns */
    char_offset := cols;
    num_char_cols := 3 * Ilog2( n );
    char_cols := [];
    p := NextPrime( y );
    i := 0;
    repeat
	K := GF(p);
	roots_mod_p := Roots( f, K );
	for j in [1..#roots_mod_p] do
	    r := IntegerRing()!roots_mod_p[j][1];
	    Append( ~char_cols, [p, r] );
	    i +:= 1;
	    if i eq num_char_cols then
		break;
	    end if;
	end for;

	p := NextPrime( p );
    until i eq num_char_cols;
    cols +:= num_char_cols;

    enough_rels := cols+50;
print "will quit after", enough_rels," relations";

    /*  allow for an error in the sieve threshold */
    error_term := 3;

    /*  set up matrix */
    M := RMatrixSpace (IntegerRing(), enough_rels, cols)!0;

    num_rels := 0;
    b := 1;
    /*  bm = b*m */
    bm := m;
    sieve_len := y * 25;

    while true do
	RationalSieve( ~sieve_array, y, FB, log_primes, ~prev_roots,
	  m_mod_p, sieve_len );

	AlgebraicSieve( ~nf_sieve_array, y, ~nf_prev_roots, log_primes,
	  R_p_set, sieve_len );

	ScanSieveArray( J, b, bm, y, d, sieve_array, nf_sieve_array,
	  error_term, ~num_rels, sieve_len, ~M, FB, prev_roots,
	  nf_prev_roots, R_p_set, enough_rels, ~smooth_alg_elts,
	  char_cols, char_offset );

	bm +:= m;
	b +:= 1;
print "Number of relations: ", num_rels;

	if num_rels ge enough_rels then
	    break;
	end if;
    end while;


print "matrix size: ",num_rels," by ", cols;
print "finding null space";

    gf2 := GF(2);
    Mprime := RMatrixSpace (gf2, num_rels, cols)!M;
    time null_space := NullSpace( Mprime );

    /*  "free" Mprime */
    Mprime := 0;

    for j in  [1..Dimension(null_space)] do
print "trying null space vector #",j;

	/*  get the first element of the solution vector */
	soln := ChangeUniverse (Eltseq (null_space.j), IntegerRing());

	/*  compute the exponents of a relation that involves an
	    algebraic square and an integer square
	 */

	exps := RSpace(IntegerRing(), cols)!0;
	for i in [1..num_rels] do
	    if soln[i] eq 1 then
		exps +:= M[i];
	    end if;
	end for;

	/*  compute the square root  x  of the integer element of the relation
	 */
	x := 1;
	for i in [1..#FB] do
	    e := exps[i];
	    if e gt 0 then
		x := (x * ( FB[i]^(e div 2) ) ) mod n;
	    end if;
	end for;
	x := ( x * Evaluate( fprime, m ) ) mod n;
print x,"^2 mod n = ", x^2 mod n;

	list := [];
	for i in [1..num_rels] do
	    if soln[i] eq 1 then
		Append( ~list, smooth_alg_elts[i] );
	    end if;
	end for;
	Append( ~list, Evaluate( fprime, alpha )^2 );

	/*  Compute the square root  beta  of the algebraic element */
	ok, l := Root(2, list, []);
        if ok eq false then
            print "Element is not a square... continuing!";
            continue;
        end if;

	/*  map the sqrt to an integer  v  modulo  n  */
	v := 1;
	for i in [1..#l] do
	    list := l[i];
	    prod_list := 1;
	    for j in [1..#list] do
		seq := Eltseq( list[j] );
		elt := 0;
		for k in [0..d-1] do
		    num := Numerator( seq[k+1] ) mod n;
		    den := Denominator( seq[k+1] ) mod n;
		    elt +:= ( ( num * Modinv( den, n ) mod n) *
		      Modexp( m, k, n ) ) mod n;
		end for;
		prod_list := (prod_list * elt) mod n;
	    end for;
	    v := v * Modexp( Modinv( prod_list, n ), 2^(i-1), n ) mod n;
	end for;
	
print v,"^2 mod n = ", v^2 mod n;

	gcd := Gcd(x-v, n);
print "Gcd of ",x-v," and ",v," is ", gcd;
	if gcd ne 1 and gcd ne n then
	    print "FACTOR: ", gcd;
	    return gcd;
	end if;
    end for;

print "no factor found :-( ";
    return 0;

end function;
















Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.

************** PARI *****************
Host 80.58.32.42.proxycache.rima-tde.net. (80.58.32.42)
Time: Fri Mar 26 10:40:53 2004

Input: /*1*/
/*(i)*/
print "Exercici 1";
print "apartat (i)";
G2:=GF(2);
G3:=GF(3);
G5:=GF(5);

elements := procedure (cos,numelementos) for i:=0 to (numelementos-1) do cos!i; end for; end procedure;
print "elements de G2";
elements(G2,2);
print "elements de G3";
elements(G3,3);
print "elements de G5";
elements(G5,5);

/*(ii)*/
print "apartat (ii)";
Z9:=Integers(9);
/* Z9 no es un cos pq te elements no invertibles a part del zero. S�n aquests:*/
for i:=0 to 8 do if(IsInvertible(Z9!i) eq false) then Z9!i; end if; end for;

/*(iii)*/
print "apartat (iii)";

Output: 
Errors (if any) and Timing Info:  ***   unused characters: print"Exercici 1";
                                ^-------------

  ***   unused characters: print"apartat (i)";
                                ^--------------

  ***   unexpected character: G2:=GF(2);
                                 ^-------

  ***   unexpected character: G3:=GF(3);
                                 ^-------

  ***   unexpected character: G5:=GF(5);
                                 ^-------

  ***   unexpected character: elements:=procedure(cos,numel
                                       ^--------------------

  ***   unused characters: print"elements de G2";
                                ^-----------------

  ***   unknown function or error in formal parameters: elements(G2,2);
                                                        ^---------------

  ***   unused characters: print"elements de G3";
                                ^-----------------

  ***   unknown function or error in formal parameters: elements(G3,3);
                                                        ^---------------

  ***   unused characters: print"elements de G5";
                                ^-----------------

  ***   unknown function or error in formal parameters: elements(G5,5);
                                                        ^---------------

  ***   unused characters: print"apartat (ii)";
                                ^---------------

  ***   unexpected character: Z9:=Integers(9);
                                 ^-------------

  ***   unexpected character: fori:=0to8doif(IsInvertib
                                   ^--------------------

  ***   unused characters: print"apartat (iii)";
                                ^----------------


Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 2(SERVFAIL) (194.27.14.157)
Time: Fri Mar 26 10:55:51 2004

Input: K=[11,7;8 13]

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: K=[11,7;813]
                                                       ^-


Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 2(SERVFAIL) (194.27.14.157)
Time: Fri Mar 26 10:56:03 2004

Input: K=[11,7;8, 13]

Output: 
[11 7]

[8 13]


Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 2(SERVFAIL) (194.27.14.157)
Time: Fri Mar 26 10:56:20 2004

Input: K=[11,7;8, 13]
K^-1

Output: 
[11 7]

[8 13]


[13/87 -7/87]

[-8/87 11/87]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Fri Mar 26 11:49:15 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Fri Mar 26 11:49:39 2004

Input: 2^31-1

Output: 2147483647

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Fri Mar 26 11:51:08 2004

Input: 2^ 4253-1

Output: 190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Fri Mar 26 11:52:05 2004

Input: 2^20,996,011-1

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 2^20,996,011-1
                               ^----------


Timing:
real	0m0.053s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Fri Mar 26 11:52:53 2004

Input: 2^20996011-1

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.426s
user	0m20.590s
sys	0m0.430s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Mar 26 12:21:24 2004

Input: Mod((x^11-1)-(x-1)^11 , x^7-1 )

Output: Mod(462*x^6 - 462*x^5 + 330*x^4 - 154*x^3 + 154*x - 330, x^7 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Mar 26 12:22:17 2004

Input: Mod(462*x^6 - 462*x^5 + 330*x^4 - 154*x^3 + 154*x - 330 , 11)

Output: 
Errors (if any) and Timing Info:  ***   forbidden division t_POL % t_INT.

Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Mar 26 12:29:42 2004

Input: Mod( (x^2701-1)-(x-1)^2701, x^144-1 )

Output: Mod(-1951427506240456910477035477358610765567461669950164576329989600435457248672692038588278468235943476404788816771745707666411419351048152394875252282146304452046260075640202657563331437290243806284849083714627883587124175131052502825329217380952835595278341418034281473723642856861134104613990172740057075315150390181297787714819269667252985774468756148831512492776064014866133043938852567761811324597651277094230598285939063204984411018120954070301019786675006321320055246084062530389114162476148528292130444369880784934211240977400174500463420090073790753040738754177587171537012383629021167389437988634326546077157641007951339206874899600280251492615349876875872781676976791595284785837914442127072111514662748597315377622438294047043963794337690499109764767919334613329651880568353591462002851779006231425600*x^143 + 1808362570289682700273349247786612956260965231543030532887468005576621478012758859393159763637208097449285377677290342452341625833568654368524218366932340014746535410823599558734343352084148970285410669989644418361059916246190032485937156274178260133480060978946055491940443818364053391611354707984960596731708885104978354495194781413847266709465009760045617218853005259975653026150107941633106229531754267388874654958782859744186984086815827460082913058492345921281670568735836191976040010600423494047292755087231176318824656677988352277323808475195310273064009434269454601575231461812486731955642991442762137312205564804405261949346933336923912077695954706455795588160984147007073083020781156591341077395643048633252296762725252277646133201787663436449738791015620463997848102397589420383428030845045983346240*x^142 - 1675908635232423057694880195250439164984496679343267951983931015816502060435421946972904007904416237889110929175302814476663056924640151055705108878219070781926542988230893684041382219646009842726035079070921173017223882107618581382597499471551707575774622507575295079361418402096617588979509887148794185814037302094687330297007329916257873116607067878645231323374697010904099817688205966659144673884752342203115574653018405088168723145005574274051780336972880601793176215444549911554832683743570014309604164999803127445964595835536495151098371832030654342716776086969444645963523094562938710477234549237964151320188784639242303015112444721795750433683252352365303840676373316014336149058750407792925925337884852239393923125908201215797943660706756579375860487868803451929323341882881547488618684256611004431895*x^141 + 1553794528354727149530533870492919400304687681719873016001882679168594484825764325110181270322508984501535913144506460123005525246622032513161514377303556410848124059701376512966386072172141236255609861803181547585596737996916658252522218689816184886166582577482339798389590819970504841474599894903804349022300774655679061188006196910832228057962869422196254452842156349264027452457714332956898959445395110289091877899385691568509048208947480622723186172620600089455434562090211924919678726822845838907363969929996748578334718307274631099507107543242855365646101298364697933891290910094465160368154133543053003376830961204655413497924634070688972858716229324763893001213778253053398061678689322539196093627916478572065831999223937393770549742247513624263477529117646546255380970303454495299237188172431683420075*x^140 - 1441750027476153723169439149401130009165685151293724237683777670384541234171275961753964796507611578268823462176096148574358162988397518897984485709884937059081621586317625400569115591562246642408140082024451518222238642359487923878072913938174045552200776869910506199008938266850134503513967118866531562344684873542819739239531567203145181217991865077845559643281023474474148338766897180411188680928799294133063208587846531417833403357262205375626146456614883928038638902360445048465155902545410482156753460439919294979009786117360552692852583199651513302527504889664846448503391895895275603843438237900694447141413641796185263465084991046857754441115653885361640426674819085526162057483516506758648107608249573642919191790297495893870056056103002890644529344396936592532052805643712278925084692348473787476610*x^139 + 1339509304967425322322942325518865034407046064172613586340648546615920612924251245247646581234536463645802386987105060246937869363223620681716685552097721884828067053008495012111271526989670446556741113657429646453608037861308160586850666820475456818729086862062953690224399669938170718982598717483537045788570485816227536790216606314669357208625092726764083880572014937173382921626415869687476760718405556112871198539323501062237102871214222316747935675167656801144960933220519170178634425010138564529638431347425760248537183232485780561109188373613684229766882919261953041231792295393668449431546746044376952321962759658405475125048825533808531350080342232488379346161092281738227529546536452227502861607797004536665605532873067006671564720551151244212990802120716649050503006792170491666881229781507489937970*x^138 - 1246814167058368341136787933306320051008661873437019901475874754780503798913471696975471929417462769194209999963963692784971073005841533609420150124418375753687031589313562068596913260813096585895332693071305666279260889055337657146071061572356141560225485416742226984875319621216289461099282512025597100749524041035453547114136047421628535479410955298241819837398902640841098271223103215891501323020125478388431652296905423236316267867753239231045667616811912719228007370769728068674960598427749145558218742382714776770314988648157305582500653440360182309452505818610181578097689261012708406318314582169587225962616315361960356310424484434350735000326855328751204788915403370973824839605879544204629941024580757136971080309157446023854861913556594625001347815254316437625672701135502321047285882916594320496605*x^137 + 1163417076446157645768798102900919413171746049619595904010005545942746265187021652012640322108518989436938919936479062728382895717281510520823627761830734450181102358396476935070929169653159175004546475972812846624424807029578974670608255665393587399761354386962211844301145311041162717748160013064013677188563445176366219038085063129843749383723578256390466532689520675879733092597662887085396657561128878392838427711563173704597446932945292138139509632697847028342447574785111207860370669349044000223303937557709428322195043955964950850304328825649651248928757985949943660196794301148247151512371356515267872780374857308488936469652826814671195623016328394898580943372691104523686229964511151700099844612727781059362084696574049943159298671014640181639054373371209007077499865441557022573387623546077810492225*x^136 - 1089083948119104267229264412448136412549366086985704287811097204398954748092880568332183715623066403599253180694494888548436630479210552361775474186878176506017754481247962706443761109992104743074797951771082474498564418639565116218181092947803582908363224247423980860994047266287211424563898647914250177547635768175367339563893558779699238989605280941099972182811369331092028606399458508803714367717615276242740961528249372634158948773559458466447880767696502289977864670207143451701068806077656097139432888727033919797780005230554113317823355772523984962733232354319140561158551806613016732036905586852729863405624091218877445149349732308333705676483418506675516930914083383902682597822720948107133129808433563285959176433278945665601111862459454294543506604850593908159310609464831474910283944988434995556780*x^135 + 1023596710034957559696547937135998992542134191607880724697769027445128721196820979816704640716175849701858655170932491066450676415100468184654902279142521343370616743199014560750243270058143323679837065841838084501960353653988016259685963492498157144893947873482081507113927132083301079481061575613788529147558822246444949534550476605090333807735908960021318190367685011414787932646560314123634050268090869094119623099549550798478524108437911044647530152106847487610982438508215919269595439946218020585061550066394934467130168928950264106303048431445357027874162349107717444021294245481073511078936600828700190965635844393425108743623225306703363353579436991905136772969484704882163847699739877367072846372687295916417576526869374133431732675326951667498525822816603832607335765226577258686603280966454979047340*x^134 - 966755621828339444607715648924399200805166864650978647882575639200063619845982909038606181921560129819283913814095603689576475369073017215722161167580112411765350914847103443213854827918862019343888425344484602028800010086957613249369305526127066092688753576345383584824034515665133711218897065472340090866258846078895816124502480617635653767453960220570672516793567805450118324860064001457990409933302841422480655697749148450546870686094210344617401962337404633813689861108481907990324109216795641728379800246535572705381952725608679597310810244423635576626594316211452262778645466919297914191030474166819498167282948140262411949055567554388562572045300624896550706449650306319549726667850762550752331378219135936988569083217587061646386957486757038875181734455994689900336587837244063397805488126535686752945*x^133 + 918381346067979574123406498707828084758238540868185006819002861277097384450696936583891839601962291537094229293582276394286638297012849605410840774499220441007434456345799172913183290334187210857987641299393627988784907093153491448334759659233587648536028285660493726437602732627798538798482171692802364609192284921744609756117901771798831793651064491095932699052872134630010869982495330266016002786888140782197950363673785076210209731572187112718283951507586050246709518257795543034132465424968715884784804454215392966288547644063151220646045152098376356425171857063068366583815576002049953326546160062577529465920827313665687222156057964805899806515328761510198605613730369905006371578009012159512486798251650402811525904363733525406002144238737453309603318493079782714587696013768812742320052408762224702605*x^132 - 8783167677442568823793151553643442805119280657500944317857581247550093569513575611876355775249638267375952517921654671734995582269484359542990454882914120427
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m4.739s
user	0m4.460s
sys	0m0.140s


************** PARI *****************
Host 3(NXDOMAIN) (202.141.69.153)
Time: Sat Mar 27 03:52:28 2004

Input: (2+3)*(3-7)

Output: -20

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (221.14.48.9)
Time: Sat Mar 27 21:01:09 2004

Input: >Q<z>:=QuadraticField(-19019);
>Q:=QuadraticForms(Discriminant(Q));
>C,m:=ClassGroup(Q);
>C;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: >Q<z>:=QuadraticFiel
                              ^--------------------

  ***   unexpected character: >Q:=QuadraticForms(D
                              ^--------------------

  ***   unexpected character: >C,m:=ClassGroup(Q);
                              ^--------------------

  ***   unexpected character: >C;
                              ^---


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host evrtwa1-ar16-4-41-036-156.evrtwa1.dsl-verizon.net. (4.41.36.156)
Time: Sun Mar 28 01:07:26 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host67-168.pool8249.interbusiness.it. (82.49.168.67)
Time: Sun Mar 28 10:51:52 2004

Input: factor((10^100+269)/3)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.027s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host proxy03.rivm.nl. (131.224.251.67)
Time: Mon Mar 29 05:18:55 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host proxy03.rivm.nl. (131.224.251.67)
Time: Mon Mar 29 05:18:57 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host proxy03.rivm.nl. (131.224.251.67)
Time: Mon Mar 29 05:19:17 2004

Input: next_prime(10^177)


Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: next_prime(10^177)
                                                        ^------------------


Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (80.90.160.162)
Time: Mon Mar 29 06:10:42 2004

Input: gcd(879,4355)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host cp50241-a.dbsch1.nb.home.nl. (213.51.48.217)
Time: Mon Mar 29 06:55:09 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:54:34 2004

Input: 1000!

Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:55:10 2004

Input: factor(2^150-1)

Output: 
[3 2]

[7 1]

[11 1]

[31 1]

[151 1]

[251 1]

[331 1]

[601 1]

[1801 1]

[4051 1]

[100801 1]

[10567201 1]

[1133836730401 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.100s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:55:38 2004

Input: nextprime(150)


Output: 151

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:55:58 2004

Input: factor(2^151-1)


Output: 
[18121 1]

[55871 1]

[165799 1]

[2332951 1]

[7289088383388253664437433 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:56:15 2004

Input: nextprime(152)


Output: 157

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:56:32 2004

Input: factor(2^157-1)


Output: 
[852133201 1]

[60726444167 1]

[1654058017289 1]

[2134387368610417 1]


Errors (if any) and Timing Info:
Timing:
real	0m1.110s
user	0m1.000s
sys	0m0.110s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:56:55 2004

Input: 2^(2^9)+1

Output: 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084097

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host hogan.u-bourgogne.fr. (193.52.234.176)
Time: Mon Mar 29 09:57:42 2004

Input: factor(2^(2^9)+1)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.028s
user	0m20.910s
sys	0m0.090s


************** PARI *****************
Host mack.math.TU-Berlin.DE. (130.149.14.45)
Time: Mon Mar 29 13:57:22 2004

Input: a :=x^32+16
f := factorpadic(a,5)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a:=x^32+16
                                ^--------

  ***   unexpected character: f:=factorpadic(a,5)
                                ^-----------------


Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host mack.math.TU-Berlin.DE. (130.149.14.45)
Time: Mon Mar 29 13:57:40 2004

Input: a =x^32+16
f = factorpadic(a,5)

Output: x^32 + 16

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: f=factorpadic(a,5)
                                                             ^-


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host mack.math.TU-Berlin.DE. (130.149.14.45)
Time: Mon Mar 29 13:58:01 2004

Input: a =x^32+16
f = factorpadic(a,5,32)

Output: x^32 + 16

[(1 + O(5^32))*x^16 + (2 + 4*5 + 4*5^3 + 5^4 + 5^5 + 3*5^6 + 2*5^8 + 2*5^9 + 4*5^10 + 4*5^11 + 2*5^12 + 3*5^13 + 2*5^14 + 5^15 + 4*5^16 + 5^17 + 5^18 + 3*5^19 + 4*5^20 + 5^22 + 3*5^23 + 2*5^24 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 4*5^30 + 5^31 + O(5^32)) 1]

[(1 + O(5^32))*x^16 + (3 + 4*5^2 + 3*5^4 + 3*5^5 + 5^6 + 4*5^7 + 2*5^8 + 2*5^9 + 2*5^12 + 5^13 + 2*5^14 + 3*5^15 + 3*5^17 + 3*5^18 + 5^19 + 4*5^21 + 3*5^22 + 5^23 + 2*5^24 + 4*5^25 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 3*5^31 + O(5^32)) 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host mack.math.TU-Berlin.DE. (130.149.14.45)
Time: Mon Mar 29 13:58:18 2004

Input: a =x^32+16
f = factorpadic(a,5,32)
f[1]

Output: x^32 + 16

[(1 + O(5^32))*x^16 + (2 + 4*5 + 4*5^3 + 5^4 + 5^5 + 3*5^6 + 2*5^8 + 2*5^9 + 4*5^10 + 4*5^11 + 2*5^12 + 3*5^13 + 2*5^14 + 5^15 + 4*5^16 + 5^17 + 5^18 + 3*5^19 + 4*5^20 + 5^22 + 3*5^23 + 2*5^24 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 4*5^30 + 5^31 + O(5^32)) 1]

[(1 + O(5^32))*x^16 + (3 + 4*5^2 + 3*5^4 + 3*5^5 + 5^6 + 4*5^7 + 2*5^8 + 2*5^9 + 2*5^12 + 5^13 + 2*5^14 + 3*5^15 + 3*5^17 + 3*5^18 + 5^19 + 4*5^21 + 3*5^22 + 5^23 + 2*5^24 + 4*5^25 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 3*5^31 + O(5^32)) 1]


Errors (if any) and Timing Info:  ***   expected character: ',' instead of: f[1]
                                               ^-


Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host mack.math.TU-Berlin.DE. (130.149.14.45)
Time: Mon Mar 29 14:28:53 2004

Input: sadfsadf


Output: sadfsadf

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host TCNJ-17-43.TCNJ.EDU. (159.91.17.43)
Time: Mon Mar 29 17:48:59 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.229s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host wbar16.tmp1-4-8-090-037.tmp1.dsl-verizon.net. (4.8.90.37)
Time: Mon Mar 29 23:56:44 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:05:40 2004

Input: factor(x^2+2a+4)
;


Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: factor(x^2+2a+4)
                                                        ^----


Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:05:55 2004

Input: factor(x^2+2a+4)


Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: factor(x^2+2a+4)
                                                        ^----


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:07:57 2004

Input: factor(27)


Output: 
[3 3]


Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:08:30 2004

Input: factor(x^2 +6x + 9)



Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: factor(x^2+6x+9)
                                                        ^----


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:08:40 2004

Input: factor(x^2 + 6x + 9)



Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: factor(x^2+6x+9)
                                                        ^----


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:09:12 2004

Input: factor(t^2 + 5/2*t + 1)


Output: 
[t + 2 1]

[2*t + 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:09:45 2004

Input: factor(x^2 + 2*x + 1)


Output: 
[x + 1 2]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:10:21 2004

Input: factor(4*x^3 + 30*x^2 + 144*x + 162)


Output: 
[2*x + 3 1]

[x^2 + 6*x + 27 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host Rete14.retevision.es. (62.81.27.254)
Time: Tue Mar 30 08:41:50 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host213-52-168-66.wmrc.com. (213.52.168.66)
Time: Tue Mar 30 08:58:43 2004

Input: factor(x^199-1)


Output: 
[x - 1 1]

[x^198 + x^197 + x^196 + x^195 + x^194 + x^193 + x^192 + x^191 + x^190 + x^189 + x^188 + x^187 + x^186 + x^185 + x^184 + x^183 + x^182 + x^181 + x^180 + x^179 + x^178 + x^177 + x^176 + x^175 + x^174 + x^173 + x^172 + x^171 + x^170 + x^169 + x^168 + x^167 + x^166 + x^165 + x^164 + x^163 + x^162 + x^161 + x^160 + x^159 + x^158 + x^157 + x^156 + x^155 + x^154 + x^153 + x^152 + x^151 + x^150 + x^149 + x^148 + x^147 + x^146 + x^145 + x^144 + x^143 + x^142 + x^141 + x^140 + x^139 + x^138 + x^137 + x^136 + x^135 + x^134 + x^133 + x^132 + x^131 + x^130 + x^129 + x^128 + x^127 + x^126 + x^125 + x^124 + x^123 + x^122 + x^121 + x^120 + x^119 + x^118 + x^117 + x^116 + x^115 + x^114 + x^113 + x^112 + x^111 + x^110 + x^109 + x^108 + x^107 + x^106 + x^105 + x^104 + x^103 + x^102 + x^101 + x^100 + x^99 + x^98 + x^97 + x^96 + x^95 + x^94 + x^93 + x^92 + x^91 + x^90 + x^89 + x^88 + x^87 + x^86 + x^85 + x^84 + x^83 + x^82 + x^81 + x^80 + x^79 + x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 + x^43 + x^42 + x^41 + x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + x^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.384s
user	0m0.360s
sys	0m0.020s


************** PARI *****************
Host dumbo.mat.ub.es. (161.116.84.30)
Time: Tue Mar 30 11:16:14 2004

Input: S4:=Sym({"1","2","3","4"});
Subgroups(S4);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: S4:=Sym({"1","2","3","4
                                 ^--------------------

  ***   expected character: '=' instead of: Subgroups(S4);
                                                         ^-


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host MathD02.Math.McGill.CA. (132.206.150.202)
Time: Tue Mar 30 12:28:01 2004

Input: E:=EllipticCurve([0,0,1,-1,0]);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: E:=EllipticCurve([0,0,
                                ^--------------------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Tue Mar 30 14:35:45 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Tue Mar 30 15:39:25 2004

Input: G:=Gamma0(16); 
C:=CosetRepresentatives(G); 

H<i,r>:=UpperHalfPlaneWithCusps(); 
Edge1:=[H|0,2]; 
Edge2:=[H|i,1/2*(i+1)]; 
point:=GeodesicsIntersection(Edge1,Edge2,H)[1]; 
triangle1:=[H|Infinity(),i,r]; 
triangle3:=[H|i,point,r]; 
triangle2:=[H|0,i,point]; 

Par:=Parent(triangle1); 
t:=G![1,1,0,1]; 
Polygons:=[Par|g*tri : g in C,tri in [triangle1,triangle2,triangle3]]; 
Polygons2:=[Par|t*g*tri : g in C,tri in [triangle3]]; 
Polygons3:=[Par|t^(-1)*g*tri : g in C,tri in [triangle3]]; 
purple:=[0.5,0,0.8]; 
blue:=[0.6,0.6,0.9]; 
yellow:=[1,0.8,0]; 
Colours:=[blue : i in C] cat [purple : i in C] cat [yellow : i in C] 
cat [purple : i in C] cat [yellow : i in C]; 
DisplayPolygons(Polygons cat Polygons2 cat 
Polygons3,"/tmp/pic.ps":Show:=true, 
Colours:=Colours,Size:=[-1,2,1.5,150]); 

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: G:=Gamma0(16);
                                ^------------

  ***   unexpected character: C:=CosetRepresentative
                                ^--------------------

  ***   unused characters: H<i,r>:=UpperHalfPlaneW
                              ^--------------------

  ***   unexpected character: Edge1:=[H|0,2];
                                    ^---------

  ***   unexpected character: Edge2:=[H|i,1/2*(i+1)];
                                    ^-----------------

  ***   unexpected character: point:=GeodesicsIntersecti
                                    ^--------------------

  ***   unexpected character: triangle1:=[H|Infinity(),i,r];
                                        ^--------------------

  ***   unexpected character: triangle3:=[H|i,point,r];
                                        ^---------------

  ***   unexpected character: triangle2:=[H|0,i,point];
                                        ^---------------

  ***   unexpected character: Par:=Parent(triangle1);
                                  ^-------------------

  ***   unexpected character: t:=G![1,1,0,1];
                                ^-------------

  ***   unexpected character: Polygons:=[Par|g*tri:ginC,tri
                                       ^--------------------

  ***   unexpected character: Polygons2:=[Par|t*g*tri:ginC,t
                                        ^--------------------

  ***   unexpected character: Polygons3:=[Par|t^(-1)*g*tri:g
                                        ^--------------------

  ***   unexpected character: purple:=[0.5,0,0.8];
                                     ^-------------

  ***   unexpected character: blue:=[0.6,0.6,0.9];
                                   ^---------------

  ***   unexpected character: yellow:=[1,0.8,0];
                                     ^-----------

  ***   unexpected character: Colours:=[blue:iinC]cat[purp
                                      ^--------------------

  ***   expected character: ']' instead of: cat[purple:iinC]cat[yellow:iin
                                                      ^--------------------

  ***   expected character: ',' instead of: ...s(PolygonscatPolygons2cat
                                                                        ^

  ***   unused characters: Polygons3,"/tmp/pic.ps":Show:
                                    ^--------------------

  ***   unexpected character: Colours:=Colours,Size:=[-1,2
                                      ^--------------------


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host noether.mathstat.concordia.ca. (132.205.67.6)
Time: Tue Mar 30 16:13:55 2004

Input: 1+1

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host hodge.math.temple.edu. (155.247.28.65)
Time: Tue Mar 30 17:10:30 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:21:13 2004

Input: A=[[1 2][3 4]]

Output: 
Errors (if any) and Timing Info:  ***   array index (34) out of allowed range [1]: A=[[12][34]]
                                                           ^----


Timing:
real	0m0.120s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:21:30 2004

Input: A=[1 2
3 4]

Output: 
Errors (if any) and Timing Info:  ***   ; or ] expected: A=[12
                              ^

  ***   unused characters: 34]
                             ^-


Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:24:43 2004

Input: A=[[1, 2], [3, 4]]


Output: [[1, 2], [3, 4]]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:24:55 2004

Input: A=[[1, 2], [3, 4]]
det(A)


Output: [[1, 2], [3, 4]]

Errors (if any) and Timing Info:  ***   obsolete function: det(A)
                           ^------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: det(x) ===> matdet(x)

matdet(x,{flag=0}): determinant of the matrix x using Gauss-Bareiss. If 
(optional) flag is set to 1, use classical gaussian elimination (slightly 
better for integer entries).



Timing:
real	0m0.074s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:25:09 2004

Input: A=[[1, 2], [3, 4]]
matdet(A)


Output: [[1, 2], [3, 4]]

Errors (if any) and Timing Info:  ***   not a square matrix in det.

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:25:49 2004

Input: A=[1, 2; 3, 4]
matdet(A)


Output: 
[1 2]

[3 4]

-2

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:27:18 2004

Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1]
matdet(A)


Output: 
[1 1 3]

[1 3 1]

[3 1 1]

-20

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:27:37 2004

Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1]
mateigen(A)


Output: 
[1 1 3]

[1 3 1]

[3 1 1]


[-1 1 1]

[0 -2 1]

[1 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:28:01 2004

Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1]
charpoly(A)
mateigen(A)


Output: 
[1 1 3]

[1 3 1]

[3 1 1]

x^3 - 5*x^2 - 4*x + 20

[-1 1 1]

[0 -2 1]

[1 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:33:33 2004

Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1]
charpoly(A)
mateigen(A)


Output: 
[1 1 3]

[1 3 1]

[3 1 1]

x^3 - 5*x^2 - 4*x + 20

[-1 1 1]

[0 -2 1]

[1 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:33:58 2004

Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1]
fact(charpoly(A))
mateigen(A)


Output: 
[1 1 3]

[1 3 1]

[3 1 1]


[-1 1 1]

[0 -2 1]

[1 1 1]


Errors (if any) and Timing Info:  ***   obsolete function: fact(charpoly(A))
                           ^-----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: fact(x) ===> factorial(x)

factorial(x): factorial of x (x C-integer), the result being given as a Timing:
real 
number.



Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:34:21 2004

Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1]
factor(charpoly(A))
mateigen(A)


Output: 
[1 1 3]

[1 3 1]

[3 1 1]


[x - 5 1]

[x - 2 1]

[x + 2 1]


[-1 1 1]

[0 -2 1]

[1 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:40:45 2004

Input: A=[1, 2, 5; 2, 5, 2; 5, 2, 1]
factor(charpoly(A))
mateigen(A)


Output: 
[1 2 5]

[2 5 2]

[5 2 1]


[x + 4 1]

[x^2 - 11*x + 22 1]


[-1 1.000000000000000000000000000 1.000000000000000000000000000]

[0 -1.686140661634507164962652867 1.186140661634507164962652867]

[1 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host d198-166-21-168.abhsia.telus.net. (198.166.21.168)
Time: Wed Mar 31 12:41:27 2004

Input: A=[2, 2, 5; 2, 5, 2; 5, 2, 2]
factor(charpoly(A))
mateigen(A)


Output: 
[2 2 5]

[2 5 2]

[5 2 2]


[x - 9 1]

[x - 3 1]

[x + 3 1]


[-1 1 1]

[0 -2 1]

[1 1 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:18:53 2004

Input: contfrac(sqrt(7))


Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:04 2004

Input: contfrac(sqrt(2))


Output: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:10 2004

Input: contfrac(sqrt(3))


Output: [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3]

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:18 2004

Input: contfrac(sqrt(5))


Output: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:31 2004

Input: contfrac(sqrt(6))


Output: [2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:39 2004

Input: contfrac(sqrt(7))


Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:48 2004

Input: contfrac(sqrt(6
))


Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: contfrac(sqrt(6
                                                           ^

  ***   unused characters: ))
                           ^--


Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:19:52 2004

Input: contfrac(sqrt(6))


Output: [2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:23:36 2004

Input: contfrac(sqrt(2))


Output: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:23:46 2004

Input: contfrac(sqrt(5))


Output: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:23:54 2004

Input: contfrac(sqrt(10))


Output: [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 14:24:00 2004

Input: contfrac(sqrt(11))


Output: [3, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Wed Mar 31 14:32:22 2004

Input: (x-1)^2701-(x^2701-1)

Output: -2701*x^2700 + 3646350*x^2699 - 3280499550*x^2698 + 2212696946475*x^2697 - 1193528732928615*x^2696 + 536292243995924340*x^2695 - 206472513938430870900*x^2694 + 69529619068766595775575*x^2693 - 20804807128020938047069275*x^2692 + 5600654078863236522271048830*x^2691 - 1370123647838269952857399309230*x^2690 + 307136051057078847765533678485725*x^2689 - 63529910868652693972424620111393425*x^2688 + 12197742886781317242705527061387537600*x^2687 - 2185022342452093295409983414263220902080*x^2686 + 366810625739145161966950965669438208936680*x^2685 - 57934501771153221169486078989555387705587400*x^2684 + 8638677930765291423272257555998147811210921200*x^2683 - 1219872257275961941507340369618054240919942188400*x^2682 + 163584869700706496356134343565781073707364247464440*x^2681 - 20884335031790196034799817861898050409973502259626840*x^2680 + 2544091722054442062421068721358489777214953911627269600*x^2679 - 296331379277558708053306221935625831006907023010845880800*x^2678 + 33065643071054259173614752597650248976520708650960219532600*x^2677 - 3540669060048490072310667708156388660405837482344820307550808*x^2676 + 364416554026529208980897953347172925201770042413643813192537008*x^2675 - 36104232667443171630514889822358799070916106053944340751482833200*x^2674 + 3447954219740822890714171978035265311272488128151684541766610570600*x^2673 - 317806263081628261616516610251319454380391750570670785522143105352200*x^2672 + 28305944498470357167977746086384186070146891917494411297172212583369280*x^2671 - 2438876701787558838569953541830069709463301558439599115314418703554172480*x^2670 + 203493774805399440593180498646446441383344223782304051184046810577801266300*x^2669 - 16458329847139730513430265178405016728852901008332409473036998104004593325900*x^2668 + 1291494824475552970877410220470134842134692349712672602178315027690713382161800*x^2667 - 98411905625037136380858658799824274970663557048105652285987605110032359720729160*x^2666 + 7287948344343027933093588454453653251994140085840268583178970978426285305985109460*x^2665 - 524929252369572147072821979219432051799037387263900426328971828581244603795954505700*x^2664 + 36800303376645794731631519806330710157700936833448177256325814508958832224011126399600*x^2663 - 2512800202359173112059865057545094388460451148396730667528093436855317184936964861593200*x^2662 + 167226853467002970607584019579626031552043023925802425923994618222721358657555011539027460*x^2661 - 10853430660382802555775148197594752925853328943086835497164626319284427692384241114764684660*x^2660 + 687383941824244161865759385847667685304044166395499581487093000221347087184335270601763361800*x^2659 - 42505904681643377358164051324859264540080312521991474120329774129966555926119708942560204163400*x^2658 + 2567743060086547659500001100488089207898487970078484959359921355396616037536958781121023242416300*x^2657 - 151610962458887936250922287199930067230806278588856323044873578695306862483015544031967972335557980*x^2656 + 8753885136756659971357599887022049099239597302869617261025744022059457103367158368454498576592217280*x^2655 - 494501383789126217530945270213692348052790017853592209106879795288677842754038414218014760018134827200*x^2654 + 27341805678673770444315182232232072744418848070488202561867895347836479055608707319471066106002704820600*x^2653 - 1480363478888194142627922009430850795733534774102146967278276048118575080296528582011362007739289303858200*x^2652 + 78518478920229817324984983380212326205706684418377875144439761592209222258927875989882640890491904676638928*x^2651 - 4081421325833906778990886096881232877869184713590583274664898195704836239380741161748605509817530182309211728*x^2650 + 207995509874227941621650926091062829352948836365673955343499619588804154506903155358342396173393365059988674600*x^2649 - 10395851050128864478410439683306140282187952217597552975564726269636645382807291670646207687987151397054905641800*x^2648 + 509781732976689502570941560766567767911735138374042968135099910407367351364327932293910332551666238877803521101600*x^2647 - 24534404494350856605550587479074634212042962023201667939156535688150934164752291577854193641168373351082653097380640*x^2646 + 1159250612358077974612265258386276466519029955596278810125146311265131639284545777053610649545205640838655358851235240*x^2645 - 53793295959423091979814765060205285156891828641265920224228280584145143612414448777312283649948577544179709195816091400*x^2644 + 2452232319253700951631555841710047826807275774612191259876889204559995857090065561503684102939035155634675019202374925200*x^2643 - 109851695250636129070545798129485701800875082581356296607705392672068966954051581000919272611319829090549933487319947920400*x^2642 + 4837136314203010883406366644301687069298532802999055593959294123993436844876737950073811970651783140953882071224988373428280*x^2641 - 209424213210002487591413349304930418852744674306893538092565504614207650939663359444998974008055070086216435247626135970886680*x^2640 + 8917418110877525278085987776855101705987837744680628073618918260992067717430826918303182119052667500445344984737629015534529600*x^2639 - 373540736422314114426490821319374815906379425527177420417148020488223281052380194244477739875872849740877228805120682095168628800*x^2638 + 15396882229407259904016918541257980693141076945948344297819319969498953365877796131514566840508634025256783274811068115110231918350*x^2637 - 624639668291491451798347910666112232120200306253319752513069950147211385012611513827752503975711814224648269164258255685318177979830*x^2636 + 24947729782066234347582501401755633998012848595208346479158369524061351680200665915908418189090550640851103598742193363431798744770180*x^2635 - 981153253369321306057908823785464113205430687289164074217646323819427786228787383409234058630650760278248626607248947949892383469692900*x^2634 + 38005259843746945884654880027219301090928006328230267227783535543240776307744499527940036918134325037836865918874907777941419677340751450*x^2633 - 1450258683602691427743424624806788692353817980612033240735565928773231362583931409522697350803589533690209680643443944627822579861423167650*x^2632 + 54529726503461197683152765892735254832503556071012449851657278921873499233155820998053420390214966466751883992193492318006129002789511103640*x^2631 - 2020671977895864945132041226250513457243899380603292331826905645682382767358210775294064071079656010901749391316353215333438386004777517094040*x^2630 + 73810656970362844523573172569984033229881324597036928232010581224231481641001310264213729263048545953772234710583457726763096599896734304962850*x^2629 - 2658194755823067373321559872417644155635041128296028552355559151212391304577978694309834167569241470033797329508546717310413437823678280654073050*x^2628 + 94401835382473257528230531685318497851471460610296797778248776343056274978796324441165462059080629503362424080384605041780628575684142183228432100*x^2627 - 3306581620663429967022154756497755918077540360309995836846127139376117791590639257425888917722730849404441174122271432596769483577629886871214548356*x^2626 + 114251096524502198597370768296882987379889749818079592994183287736864280535750245921057688130788042243895559516382694499988377156248106354260650052406*x^2625 - 3894923745153484043092185282848283660678059652889077033892612081938555018264212929126966640822319621950984983513046403408694675781185443895249433604750*x^2624 + 131029229580547976013767874130690978533579852938217155601720693628291902152888393923450775198945726769222879445361971314671984990382443651040186074088000*x^2623 - 4350502141642751152963457390440537173336455117176501254978650371987464042367420977990017510719425839438881174496005705802336919364217084768081114839656000*x^2622 + 142587707692341169038377315971688605856102316465459828631925265941889133988592222553622823913829181887609330494106587007671592532162214953273858538869725400*x^2621 - 4613856566192916099377616606935751061096841622913212479558964469551745928198768090284511376273410934906469817593251414161817827491323029537417076918241361400*x^2620 + 147418343944212685126455555002093509513094207951617276785908376953970418681472834104212436656540690847011596610906325671999545219844711431561374896656004474000*x^2619 - 4651670395058952076460085524704613270057755790666092143401133002921066584659968102637739416909398425642450259324863457047792878684015653485051094630627418282000*x^2618 + 144977060646004006383005998853293780250133388809093205136001978591039908555235672532209545160342917599189699748958244411322878052318487866950759115987887869789000*x^2617 - 4463587855418735114168549399989056740171753864863493151069613858502958125753550059021086819819028415965640520506161477934493786622558620562472195371062383002797800*x^2616 + 135776114299714082077499130585713632933596605935847652130210579695857423918270778539525152565657887629838553507489749142751578439588527341760782128961618534131616800*x^2615 - 4081086653951176145202991108984381035877645109451052992189662826490427167198598688285727286887303174161239280713628666762015834707172402283959141002696924905220436000*x^2614 + 121226824016231527767734304078240591224820049046648324108906575323249734262012920127032853726402392014289539543016196987680788544597143858753059029330110928434616133000*x^2613 - 3559165069150707663562806028724074886184885260212270459512054846288219726142019778561088166147072475655489514897767671110223600753172324751929699366736852314602830961000*x^2612 + 103294879562462760191400548300303151141276892218605004891616525094498110274255062906684025444179481182357095699032990632665600501858734580578226386065740647174917716334800*x^2611 - 2963768467446046888568646501231775028899713907503051294197920296942138087099779881861010883898380498539938207364561961998789922091792922965821418615578558568941869860990800*x^2610 + 84080822826458504121349645306684052450307101071553955194093173641510656601417668387578678336682316317274333926320725226270018441951951401530368506376739542010198699317239000*x^2609 - 23587835134863466371247443505928891703532389967277878397998826885021645491731042669160513094667114330297
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m4.929s
user	0m4.860s
sys	0m0.070s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Wed Mar 31 14:41:25 2004

Input: Mod( (x-1)^2701-(x^2701-1) , x^144-1 )

Output: Mod(1951427506240456910477035477358610765567461669950164576329989600435457248672692038588278468235943476404788816771745707666411419351048152394875252282146304452046260075640202657563331437290243806284849083714627883587124175131052502825329217380952835595278341418034281473723642856861134104613990172740057075315150390181297787714819269667252985774468756148831512492776064014866133043938852567761811324597651277094230598285939063204984411018120954070301019786675006321320055246084062530389114162476148528292130444369880784934211240977400174500463420090073790753040738754177587171537012383629021167389437988634326546077157641007951339206874899600280251492615349876875872781676976791595284785837914442127072111514662748597315377622438294047043963794337690499109764767919334613329651880568353591462002851779006231425600*x^143 - 1808362570289682700273349247786612956260965231543030532887468005576621478012758859393159763637208097449285377677290342452341625833568654368524218366932340014746535410823599558734343352084148970285410669989644418361059916246190032485937156274178260133480060978946055491940443818364053391611354707984960596731708885104978354495194781413847266709465009760045617218853005259975653026150107941633106229531754267388874654958782859744186984086815827460082913058492345921281670568735836191976040010600423494047292755087231176318824656677988352277323808475195310273064009434269454601575231461812486731955642991442762137312205564804405261949346933336923912077695954706455795588160984147007073083020781156591341077395643048633252296762725252277646133201787663436449738791015620463997848102397589420383428030845045983346240*x^142 + 1675908635232423057694880195250439164984496679343267951983931015816502060435421946972904007904416237889110929175302814476663056924640151055705108878219070781926542988230893684041382219646009842726035079070921173017223882107618581382597499471551707575774622507575295079361418402096617588979509887148794185814037302094687330297007329916257873116607067878645231323374697010904099817688205966659144673884752342203115574653018405088168723145005574274051780336972880601793176215444549911554832683743570014309604164999803127445964595835536495151098371832030654342716776086969444645963523094562938710477234549237964151320188784639242303015112444721795750433683252352365303840676373316014336149058750407792925925337884852239393923125908201215797943660706756579375860487868803451929323341882881547488618684256611004431895*x^141 - 1553794528354727149530533870492919400304687681719873016001882679168594484825764325110181270322508984501535913144506460123005525246622032513161514377303556410848124059701376512966386072172141236255609861803181547585596737996916658252522218689816184886166582577482339798389590819970504841474599894903804349022300774655679061188006196910832228057962869422196254452842156349264027452457714332956898959445395110289091877899385691568509048208947480622723186172620600089455434562090211924919678726822845838907363969929996748578334718307274631099507107543242855365646101298364697933891290910094465160368154133543053003376830961204655413497924634070688972858716229324763893001213778253053398061678689322539196093627916478572065831999223937393770549742247513624263477529117646546255380970303454495299237188172431683420075*x^140 + 1441750027476153723169439149401130009165685151293724237683777670384541234171275961753964796507611578268823462176096148574358162988397518897984485709884937059081621586317625400569115591562246642408140082024451518222238642359487923878072913938174045552200776869910506199008938266850134503513967118866531562344684873542819739239531567203145181217991865077845559643281023474474148338766897180411188680928799294133063208587846531417833403357262205375626146456614883928038638902360445048465155902545410482156753460439919294979009786117360552692852583199651513302527504889664846448503391895895275603843438237900694447141413641796185263465084991046857754441115653885361640426674819085526162057483516506758648107608249573642919191790297495893870056056103002890644529344396936592532052805643712278925084692348473787476610*x^139 - 1339509304967425322322942325518865034407046064172613586340648546615920612924251245247646581234536463645802386987105060246937869363223620681716685552097721884828067053008495012111271526989670446556741113657429646453608037861308160586850666820475456818729086862062953690224399669938170718982598717483537045788570485816227536790216606314669357208625092726764083880572014937173382921626415869687476760718405556112871198539323501062237102871214222316747935675167656801144960933220519170178634425010138564529638431347425760248537183232485780561109188373613684229766882919261953041231792295393668449431546746044376952321962759658405475125048825533808531350080342232488379346161092281738227529546536452227502861607797004536665605532873067006671564720551151244212990802120716649050503006792170491666881229781507489937970*x^138 + 1246814167058368341136787933306320051008661873437019901475874754780503798913471696975471929417462769194209999963963692784971073005841533609420150124418375753687031589313562068596913260813096585895332693071305666279260889055337657146071061572356141560225485416742226984875319621216289461099282512025597100749524041035453547114136047421628535479410955298241819837398902640841098271223103215891501323020125478388431652296905423236316267867753239231045667616811912719228007370769728068674960598427749145558218742382714776770314988648157305582500653440360182309452505818610181578097689261012708406318314582169587225962616315361960356310424484434350735000326855328751204788915403370973824839605879544204629941024580757136971080309157446023854861913556594625001347815254316437625672701135502321047285882916594320496605*x^137 - 1163417076446157645768798102900919413171746049619595904010005545942746265187021652012640322108518989436938919936479062728382895717281510520823627761830734450181102358396476935070929169653159175004546475972812846624424807029578974670608255665393587399761354386962211844301145311041162717748160013064013677188563445176366219038085063129843749383723578256390466532689520675879733092597662887085396657561128878392838427711563173704597446932945292138139509632697847028342447574785111207860370669349044000223303937557709428322195043955964950850304328825649651248928757985949943660196794301148247151512371356515267872780374857308488936469652826814671195623016328394898580943372691104523686229964511151700099844612727781059362084696574049943159298671014640181639054373371209007077499865441557022573387623546077810492225*x^136 + 1089083948119104267229264412448136412549366086985704287811097204398954748092880568332183715623066403599253180694494888548436630479210552361775474186878176506017754481247962706443761109992104743074797951771082474498564418639565116218181092947803582908363224247423980860994047266287211424563898647914250177547635768175367339563893558779699238989605280941099972182811369331092028606399458508803714367717615276242740961528249372634158948773559458466447880767696502289977864670207143451701068806077656097139432888727033919797780005230554113317823355772523984962733232354319140561158551806613016732036905586852729863405624091218877445149349732308333705676483418506675516930914083383902682597822720948107133129808433563285959176433278945665601111862459454294543506604850593908159310609464831474910283944988434995556780*x^135 - 1023596710034957559696547937135998992542134191607880724697769027445128721196820979816704640716175849701858655170932491066450676415100468184654902279142521343370616743199014560750243270058143323679837065841838084501960353653988016259685963492498157144893947873482081507113927132083301079481061575613788529147558822246444949534550476605090333807735908960021318190367685011414787932646560314123634050268090869094119623099549550798478524108437911044647530152106847487610982438508215919269595439946218020585061550066394934467130168928950264106303048431445357027874162349107717444021294245481073511078936600828700190965635844393425108743623225306703363353579436991905136772969484704882163847699739877367072846372687295916417576526869374133431732675326951667498525822816603832607335765226577258686603280966454979047340*x^134 + 966755621828339444607715648924399200805166864650978647882575639200063619845982909038606181921560129819283913814095603689576475369073017215722161167580112411765350914847103443213854827918862019343888425344484602028800010086957613249369305526127066092688753576345383584824034515665133711218897065472340090866258846078895816124502480617635653767453960220570672516793567805450118324860064001457990409933302841422480655697749148450546870686094210344617401962337404633813689861108481907990324109216795641728379800246535572705381952725608679597310810244423635576626594316211452262778645466919297914191030474166819498167282948140262411949055567554388562572045300624896550706449650306319549726667850762550752331378219135936988569083217587061646386957486757038875181734455994689900336587837244063397805488126535686752945*x^133 - 918381346067979574123406498707828084758238540868185006819002861277097384450696936583891839601962291537094229293582276394286638297012849605410840774499220441007434456345799172913183290334187210857987641299393627988784907093153491448334759659233587648536028285660493726437602732627798538798482171692802364609192284921744609756117901771798831793651064491095932699052872134630010869982495330266016002786888140782197950363673785076210209731572187112718283951507586050246709518257795543034132465424968715884784804454215392966288547644063151220646045152098376356425171857063068366583815576002049953326546160062577529465920827313665687222156057964805899806515328761510198605613730369905006371578009012159512486798251650402811525904363733525406002144238737453309603318493079782714587696013768812742320052408762224702605*x^132 + 87831676774425688237931515536434428051192806575009443178575812475500935695135756118763557752496382673759525179216546717349955822694843595429904548829141204277
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m4.622s
user	0m4.540s
sys	0m0.070s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Wed Mar 31 14:56:47 2004

Input: Mod( (x-1)^5402-(x^5402-1) , x^145-1 )

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.025s
user	0m20.880s
sys	0m0.120s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Wed Mar 31 14:57:24 2004

Input: Mod( (x-1)^5402-(x^5402-1) , x^145-1 )

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.012s
user	0m20.960s
sys	0m0.040s


************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Wed Mar 31 17:13:29 2004

Input: contfrac((1+sqrt(2))/2)


Output: [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5]

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Wed Mar 31 18:56:19 2004

Input: 389*2


Output: 778

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host px3.hitachi.co.jp. (133.145.228.12)
Time: Wed Mar 31 22:37:38 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host tortola.ugr.es. (150.214.18.36)
Time: Thu Apr  1 03:20:56 2004

Input: nu=bnfinit(x^4-4*x^2+1)
nu.zk


Output: [[;], matrix(0,8), [0.6584789484624083543125231736 + 3.141592653589793238462643383*I, -0.8813735870195430252326093250 + 3.141592653589793238462643383*I, 1.146215834780588843900393655 + 15.70796326794896619231321691*I; -0.6584789484624083543125231736 + 3.141592653589793238462643383*I, 0.8813735870195430252326093249 + 6.283185307179586476925286766*I, 1.146215834780588843900393655 + 18.84955592153875943077586029*I; -0.6584789484624083543125231736 + 6.283185307179586476925286766*I, -0.8813735870195430252326093250 + 15.70796326794896619231321691*I, -1.146215834780588843900393655 + 37.69911184307751886155172059*I; 0.6584789484624083543125231736 + 12.56637061435917295385057353*I, 0.8813735870195430252326093249 + 18.84955592153875943077586029*I, -1.146215834780588843900393655 + 40.84070449666731210001436398*I], [-0.6017179734539150740851039445 + 3.141592653589793238462643383*I, 0.3946857140156758737830649825 + 0.E-38*I, 0.1959185839666155345215995043 + 6.283185307179586476925286766*I, -5.351162935923124873017203219 + 3.141592653589793238462643383*I, 3.23260946 E-38 + 4.70197740 E-38*I, 0.01111367547162366578043945773 + 3.141592653589793238462643383*I, -4.938629377279797894915792173 + 0.E-37*I, -5.540801856009317180198528112 + 12.56637061435917295385057353*I; 0.3946857140156758737830649825 + 3.141592653589793238462643383*I, -0.6017179734539150740851039445 + 0.E-38*I, 0.01111367547162366578043945773 + 9.424777960769379715387930149*I, 1.912515431581358341316022251 + 12.56637061435917295385057353*I, -7.93458686 E-38 + 3.141592653589793238462643383*I, 0.1959185839666155345215995043 + 0.E-38*I, 1.220780764648007623264737820 + 6.283185307179586476925286766*I, 2.381355459957574388447220531 + 6.283185307179586476925286766*I; 0.01111367547162366578043945773 + 3.141592653589793238462643383*I, 0.1959185839666155345215995043 + 3.141592653589793238462643383*I, 0.3946857140156758737830649825 + 3.141592653589793238462643383*I, 0.06292141380586672162154726905 + 3.141592653589793238462643383*I, 3.82035664 E-38 + 9.424777960769379715387930149*I, -0.6017179734539150740851039445 + 3.141592653589793238462643383*I, 1.413135029201625793985354873 + 3.141592653589793238462643383*I, 0.2525603338920590288028721627 + 12.56637061435917295385057353*I; 0.1959185839666155345215995043 + 0.E-38*I, 0.01111367547162366578043945773 + 0.E-38*I, -0.6017179734539150740851039445 + 9.424777960769379715387930149*I, 3.375726090535899810079633698 + 3.141592653589793238462643383*I, 1.46936793 E-38 + 0.E-37*I, 0.3946857140156758737830649825 + 3.141592653589793238462643383*I, 2.304713583430164477665699479 + 3.141592653589793238462643383*I, 2.906886062159683762948435418 + 12.56637061435917295385057353*I], [[2, [1, 1, 0, 0]~, 4, 1, [1, 1, 1, 1]~], [3, [1, 0, 1, 0]~, 2, 2, [1, 0, 1, 0]~], [5, [1, -1, 1, 0]~, 1, 2, [1, 1, 1, 0]~], [5, [1, 1, 1, 0]~, 1, 2, [1, -1, 1, 0]~], [23, [8, 1, 0, 0]~, 1, 1, [3, -9, -8, 1]~], [23, [-8, 1, 0, 0]~, 1, 1, [-3, -9, 8, 1]~], [23, [-3, 1, 0, 0]~, 1, 1, [-8, 5, 3, 1]~], [23, [3, 1, 0, 0]~, 1, 1, [8, 5, -3, 1]~]]~, [6, 7, 5, 1, 2, 8, 3, 4], [x^4 - 4*x^2 + 1, [4, 0], 2304, 1, [[1, -1.931851652578136573499486399, 3.732050807568877293527446341, -7.209768520107504769300147922; 1, -0.5176380902050415246977976752, 0.2679491924311227064725536584, -0.1387007082420295252917043015; 1, 0.5176380902050415246977976752, 0.2679491924311227064725536584, 0.1387007082420295252917043015; 1, 1.931851652578136573499486399, 3.732050807568877293527446341, 7.209768520107504769300147922], [1, 1, 1, 1; -1.931851652578136573499486399, -0.5176380902050415246977976752, 0.5176380902050415246977976752, 1.931851652578136573499486399; 3.732050807568877293527446341, 0.2679491924311227064725536584, 0.2679491924311227064725536584, 3.732050807568877293527446341; -7.209768520107504769300147922, -0.1387007082420295252917043015, 0.1387007082420295252917043015, 7.209768520107504769300147922], [4, 0.E-105, 8.000000000000000000000000000, 0.E-105; 0.E-105, 8.000000000000000000000000000, 0.E-105, 28.00000000000000000000000000; 8.000000000000000000000000000, 0.E-105, 28.00000000000000000000000000, 0.E-104; 0.E-105, 28.00000000000000000000000000, 0.E-104, 104.0000000000000000000000000], [4, 0, 8, 0; 0, 8, 0, 28; 8, 0, 28, 0; 0, 28, 0, 104], [12, 0, 4, 0; 0, 12, 0, 4; 0, 0, 4, 0; 0, 0, 0, 4], [1344, 0, -384, 0; 0, 4992, 0, -1344; -384, 0, 192, 0; 0, -1344, 0, 384], [576, [192, 0, 192, 0]~]], [-1.931851652578136573499486399, -0.5176380902050415246977976752, 0.5176380902050415246977976752, 1.931851652578136573499486399], [1, x, x^2, x^3], [1, 0, 0, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -4; 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0; 0, 0, 1, 0, 0, 1, 0, 4, 1, 0, 4, 0, 0, 4, 0, 15; 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 4, 1, 0, 4, 0]], [[1, [], []], 2.660898580190370468920683695, 0.9948207673765480394, [2, -1], [x, x^3 - 3*x + 1, x^3 - x^2 - 3*x + 2], 118], [[;], [], []], 0]
[1, x, x^2, x^3]

Errors (if any) and Timing Info:
Timing:
real	0m0.149s
user	0m0.130s
sys	0m0.020s


************** PARI *****************
Host tortola.ugr.es. (150.214.18.36)
Time: Thu Apr  1 03:21:59 2004

Input: nu=bnfinit(x^4-10*x^2+1);
nu.zk


Output: [1, x, 1/2*x^2 + 1/2, 1/4*x^3 + 1/4*x^2 - 1/4*x - 1/4]

Errors (if any) and Timing Info:
Timing:
real	0m0.166s
user	0m0.140s
sys	0m0.020s


************** PARI *****************
Host ibmws6215.bc.edu. (136.167.76.227)
Time: Thu Apr  1 09:53:39 2004

Input: 2+3


Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (153.9.5.63)
Time: Thu Apr  1 11:29:35 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (153.9.5.63)
Time: Thu Apr  1 11:36:10 2004

Input: factor(7081)

Output: 
[73 1]

[97 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host sartre.math.psu.edu. (146.186.131.109)
Time: Thu Apr  1 12:51:56 2004

Input: P<t>:= FunctionField(GF(5));
Q<x>:= PolynomialRing(P);

f:=x^6 - x^5 - (1)*x^3 + 3*(1)*x^2 + 2*x + (1);

print f;
if IsIrreducible(f) then
f2:=f^2;
c3:=Coefficient(f2, 3);
c4:=Coefficient(f2, 4);
c8:=Coefficient(f2, 8);
c9:=Coefficient(f2, 9);

m:=elt<MatrixAlgebra(Q, 2)  | c4, c3, c9, c8>;
n:=elt<MatrixAlgebra(Q, 2)  | c4^5, c3^5, c9^5, c8^5>;
print(m*n);
G, R:= GaloisGroup(f);
print(G);
t1, t2:= TransitiveGroupIdentification(G);
print(t1);
print(t2);

else

print PolynomialToString(f) cat "not irreducible";

end if;

Output: WARNING: PARI command contains unsafe command 'Str', so it will not be executed.

************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Apr  1 14:36:24 2004

Input: factor(493806983409834)

Output: 
[2 1]

[3 1]

[22409 1]

[3672683471 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host cache-hfa.netvision.net.il. (207.232.8.4)
Time: Fri Apr  2 00:49:16 2004

Input: 1+5=
2-8=
2*8=


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 1+5=2-8=2*8=
                                 ^---------


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 10:15:22 2004

Input: Mod( (x-1)^121-(x^121-1) , x^33 - 1 )

Output: Mod(138031955003227820938153070529564234*x^32 - 157405007200305738993725027298148844*x^31 + 173688334308507744526947732356901185*x^30 - 185463831203292175199132334981122856*x^29 + 191645963737460369613482553472889656*x^28 - 191645963737460369613482553472889656*x^27 + 185463831203292175199132334981122856*x^26 - 173688334308507744526947732356901185*x^25 + 157405007200305738993725027298148844*x^24 - 138031955003227820938153070529564234*x^23 + 117117677975937703079368939511902779*x^22 - 96140489244341190234391391074271035*x^21 + 76344658760674399577310511859893200*x^20 - 58636309047126824486296198619880636*x^19 + 43546394540949370787984176045520736*x^18 - 31253326223382860098729308959132805*x^17 + 21647460654708343794578432110621220*x^16 - 14415391756412978800210338918974510*x^15 + 9123444007874292986931147121017684*x^14 - 5285256732002758626157230251661279*x^13 + 2405639148809872884717776222113320*x^12 - 2405639148809872884717776222113320*x^10 + 5285256732002758626157230251661279*x^9 - 9123444007874292986931147121017684*x^8 + 14415391756412978800210338918974510*x^7 - 21647460654708343794578432110621220*x^6 + 31253326223382860098729308959132805*x^5 - 43546394540949370787984176045520736*x^4 + 58636309047126824486296198619880636*x^3 - 76344658760674399577310511859893200*x^2 + 96140489244341190234391391074271035*x - 117117677975937703079368939511902779, x^33 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 10:27:06 2004

Input: Mod( (x-1)^3-(x^3-1) , x^33 - 1 )

Output: Mod(-3*x^2 + 3*x, x^33 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 10:27:22 2004

Input: Mod( (x-1)^77-(x^77-1) , x^33 - 1 )

Output: Mod(-4612458056015860367625*x^32 + 3208666315568484351735*x^31 - 2116353659564590966080*x^30 + 1322718034286781398420*x^29 - 782821539560225244640*x^28 + 438338663961174770948*x^27 - 231924102612036244256*x^26 + 115536057759183889828*x^25 - 53265170450853320960*x^24 + 20331125328339102420*x^23 - 20331125328339102420*x^21 + 53265170450853320960*x^20 - 115536057759183889828*x^19 + 231924102612036244256*x^18 - 438338663961174770948*x^17 + 782821539560225244640*x^16 - 1322718034286781398420*x^15 + 2116353659564590966080*x^14 - 3208666315568484351735*x^13 + 4612458056015860367625*x^12 - 6289715574361684831240*x^11 + 8139631927312076153193*x^10 - 10000119226169820037059*x^9 + 11666805764031957553245*x^8 - 12928082062867134045795*x^7 + 13608507434599259156205*x^6 - 13608507434599259156205*x^5 + 12928082062867134045795*x^4 - 11666805764031957553245*x^3 + 10000119226169820037059*x^2 - 8139631927312076153193*x + 6289715574361684831240, x^33 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 10:27:49 2004

Input: Mod( (x-1)^77-(x^77-1) , x^3 - 1 )

Output: Mod(-1350851717672992090*x^2 + 1350851717672992090, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:41:17 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:41:35 2004

Input: U(20)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: U(20)
                                                        ^-----


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:41:48 2004

Input: Ferm(20)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Ferm(20)
                                                        ^--------


Timing:
real	0m0.057s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:42:00 2004

Input: 2^2000+1

Output: 114813069527425452423283320117768198402231770208869520047764273682576626139237031385665948631650626991844596463898746277344711896086305533142593135616665318539129989145312280000688779148240044871428926990063486244781615463646388363947317026040466353970904996558162398808944629605623311649536164221970332681344168908984458505602379484807914058900934776500429002716706625830522008132236281291761267883317206598995396418127021779858404042159853183251540889433902091920554957783589672039160081957216630582755380425583726015528348786419432054508915275783882625175435528800822842770817965453762184851149029377

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:48:15 2004

Input: isprime(2^2001+1)


Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.268s
user	0m0.250s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:48:25 2004

Input: isprime(301)


Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:48:33 2004

Input: isprime(101)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:49:47 2004

Input: factor(100)


Output: 
[2 2]

[5 2]


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:50:15 2004

Input: factor(19083928509280958209850239509283059823059820395820395802958029582095802395802395802395820395802395802395823905823098520)


Output: 
[2 3]

[5 1]

[7 1]

[285905220331 1]

[238389797339969016310244241551318794140484670245418551202445919673423773101018288900494533774221730996339 1]


Errors (if any) and Timing Info:
Timing:
real	0m3.574s
user	0m3.550s
sys	0m0.030s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 10:50:42 2004

Input: isprime(238389797339969016310244241551318794140484670245418551202445919673423773101018288900494533774221730996339)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 11:00:38 2004

Input: partition(200)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: partition(200)
                                                        ^--------------


Timing:
real	0m0.064s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 11:05:16 2004

Input: bernfrac(200)

Output: -498384049428333414764928632140399662108495887457206674968055822617263669621523687568865802302210999132601412697613279391058654527145340515840099290478026350382802884371712359337984274122861159800280019110197888555893671151/1366530

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 11:06:50 2004

Input: factor(498384049428333414764928632140399662108495887457206674968055822617263669621523687568865802302210999132601412697613279391058654527145340515840099290478026350382802884371712359337984274122861159800280019110197888555893671151)


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.007s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 11:07:37 2004

Input: factor(498384049428333414764928632140399662108495887457206674968055822617263669621523687568865802302210999132601412697613279391058654527145340515840099290478026350382802884371712359337984274122861159800280019110197888555893671151)


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.016s
user	0m20.900s
sys	0m0.100s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 12:02:43 2004

Input: (x-1)^121-(x^121-1)

Output: -121*x^120 + 7260*x^119 - 287980*x^118 + 8495410*x^117 - 198792594*x^116 + 3843323484*x^115 - 63140314380*x^114 + 899749479915*x^113 - 11296854581155*x^112 + 126524771308936*x^111 - 1276749965026536*x^110 + 11703541346076580*x^109 - 98129692824795940*x^108 + 757000487505568680*x^107 - 5399936810873056584*x^106 + 35774581372033999869*x^105 - 220960649650798234485*x^104 + 1276661531315723132580*x^103 - 6920849353974709613460*x^102 + 35296331705271019028646*x^101 - 169758547725351091518726*x^100 + 771629762387959506903300*x^99 - 3321362890278608312322900*x^98 + 13562231801970983941985175*x^97 - 52621459391647417694902479*x^96 + 194294619292236619181178384*x^95 - 683629216028239956378220240*x^94 + 2295040939523376996412596520*x^93 - 7359958875023243471254188840*x^92 + 22570540550071279978512845776*x^91 - 66255457743757628324021579536*x^90 + 186343474904318329661310692445*x^89 - 502562705044979737571413685685*x^88 + 1300750530704653438420129539420*x^87 - 3233294176322995689787179140844*x^86 + 7723980532327156370047150169794*x^85 - 17744279601292115985243453092770*x^84 + 39224197013382572177906580520860*x^83 - 83477137233609063865801184185420*x^82 + 171128131328898580924892427580111*x^81 - 338082405796116708656494795950951*x^80 + 643966487230698492679037706573240*x^79 - 1183101220726166998177766949285720*x^78 + 2097315800378205133133314137370140*x^77 - 3588740369536039894472559746166684*x^76 + 5929223219233457216954663928449304*x^75 - 9461526413670410452587229673057400*x^74 + 14586519887741882781071979079296825*x^73 - 21730937791941988633025601485483025*x^72 + 31292550420396463631556866139095556*x^71 - 43564138820551939565500735213250676*x^70 + 58644033027666072492020220479375910*x^69 - 76347892054886018904705570058055430*x^68 + 96141789995041653435555162295329060*x^67 - 117118180539414377821494470432491764*x^66 + 138032141350024088146761340152579579*x^65 - 157405073469325714553324335261713555*x^64 + 173688356931669753989875128564649440*x^63 - 185463838757545669514612425416490080*x^62 + 191645966716130525165099506263706416*x^61 - 191645966716130525165099506263706416*x^60 + 185463838757545669514612425416490080*x^59 - 173688356931669753989875128564649440*x^58 + 157405073469325714553324335261713555*x^57 - 138032141350024088146761340152579579*x^56 + 117118180539414377821494470432491764*x^55 - 96141789995041653435555162295329060*x^54 + 76347892054886018904705570058055430*x^53 - 58644033027666072492020220479375910*x^52 + 43564138820551939565500735213250676*x^51 - 31292550420396463631556866139095556*x^50 + 21730937791941988633025601485483025*x^49 - 14586519887741882781071979079296825*x^48 + 9461526413670410452587229673057400*x^47 - 5929223219233457216954663928449304*x^46 + 3588740369536039894472559746166684*x^45 - 2097315800378205133133314137370140*x^44 + 1183101220726166998177766949285720*x^43 - 643966487230698492679037706573240*x^42 + 338082405796116708656494795950951*x^41 - 171128131328898580924892427580111*x^40 + 83477137233609063865801184185420*x^39 - 39224197013382572177906580520860*x^38 + 17744279601292115985243453092770*x^37 - 7723980532327156370047150169794*x^36 + 3233294176322995689787179140844*x^35 - 1300750530704653438420129539420*x^34 + 502562705044979737571413685685*x^33 - 186343474904318329661310692445*x^32 + 66255457743757628324021579536*x^31 - 22570540550071279978512845776*x^30 + 7359958875023243471254188840*x^29 - 2295040939523376996412596520*x^28 + 683629216028239956378220240*x^27 - 194294619292236619181178384*x^26 + 52621459391647417694902479*x^25 - 13562231801970983941985175*x^24 + 3321362890278608312322900*x^23 - 771629762387959506903300*x^22 + 169758547725351091518726*x^21 - 35296331705271019028646*x^20 + 6920849353974709613460*x^19 - 1276661531315723132580*x^18 + 220960649650798234485*x^17 - 35774581372033999869*x^16 + 5399936810873056584*x^15 - 757000487505568680*x^14 + 98129692824795940*x^13 - 11703541346076580*x^12 + 1276749965026536*x^11 - 126524771308936*x^10 + 11296854581155*x^9 - 899749479915*x^8 + 63140314380*x^7 - 3843323484*x^6 + 198792594*x^5 - 8495410*x^4 + 287980*x^3 - 7260*x^2 + 121*x

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host roam240-28.fas.harvard.edu. (140.247.240.28)
Time: Fri Apr  2 12:12:23 2004

Input: factor(784)

Output: 
[2 4]

[7 2]


Errors (if any) and Timing Info:
Timing:
real	0m0.164s
user	0m0.030s
sys	0m0.100s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 12:21:16 2004

Input: Mod(  55 x^ 99 - 44 x^ 88 + 88 x^ 77 - 99 x^ 66 + 99 x^ 55 - 88 x^ 44 + 44 x^ 33 -  55 x^ 22  + 11 x^ 11 , x^33 - 1 )

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: Mod(55x^99-44x^88+88x^77-9
                                                  ^--------------------


Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 12:21:49 2004

Input: Mod(  55* x^ 99 - 44* x^ 88 + 88* x^ 77 - 99* x^ 66 + 99* x^ 55 - 88* x^ 44 + 44* x^ 33 -  55* x^ 22  + 11* x^ 11 , x^33 - 1 )

Output: Mod(11*x^11, x^33 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 12:22:44 2004

Input: Mod(  11*x^110 - 55* x^ 99 - 44* x^ 88 + 88* x^ 77 - 99* x^ 66 + 99* x^ 55 - 88* x^ 44 + 44* x^ 33 -  55* x^ 22  + 11* x^ 11 , x^33 - 1 )

Output: Mod(22*x^11 - 110, x^33 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 12:23:23 2004

Input: Mod(  11*x^110 - 55* x^ 99 + 44* x^ 88 - 88* x^ 77 + 99* x^ 66 - 99* x^ 55 + 88* x^ 44 - 44* x^ 33 + 55* x^ 22 - 11* x^ 11 , x^33 - 1 )

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 162.shorcan.com. (216.208.29.162)
Time: Fri Apr  2 12:41:15 2004

Input: 3^3

Output: 27

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 13:04:08 2004

Input: Mod(  x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 x^2 + 5*x - 1 , x^3 - 1 )

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...8*x^6+9*x^5-9*x^4+8*x^3-4
  ***   x^2+5*x-1,x^3-1)
        ^----------------


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 13:04:29 2004

Input: Mod(  x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 , x^3 - 1 )

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 13:05:04 2004

Input: Div(  x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 , x^3 - 1 )

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: Div(x^9-5*x^8+4*x^7-8*x^6
                                                 ^--------------------


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 13:05:18 2004

Input: Divide(  x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 , x^3 - 1 )

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: Divide(x^9-5*x^8+4*x^7-8*x^6
                                                    ^--------------------


Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Fri Apr  2 13:05:41 2004

Input: (  x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 ) / ( x^3 - 1 )

Output: x^6 - 5*x^5 + 4*x^4 - 7*x^3 + 4*x^2 - 5*x + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host form.fas.harvard.edu. (140.247.29.178)
Time: Fri Apr  2 13:19:58 2004

Input: factor(322)


Output: 
[2 1]

[7 1]

[23 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 16:17:51 2004

Input: bernfunc(2301)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: bernfunc(2301)
                                                        ^--------------


Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 16:18:10 2004

Input: bernfrac(2301)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 16:18:21 2004

Input: bernfrac(2302)

Output: 3713900584120127411133209704354522704553254573294498261273958577981275381420666425932229309301689916555474187359763872038712735707943534155071808496473024156919714284905621210988322661307448691168588068474226812133092072212809557549902602743853249456950843917227159206098090956384118172084891333272035886130508911182234118849608525435112306901809369588063410507903112003653589093562596907008754481147247654899720827856643366051614105953606901555310760994692513485519733850390650621773644961163726062698998645542883648982497380308539161865188258382271724449254867289649124799455461533784361307935430684502107062838384408175405432577729752571042672636844772195137913984969782507806036333579206460348273959963311122588457534109684330306195545555611037830240952662066445201880019187540042191307286578678224722546104787962891979609835693239741916200799006734127425781575265991934925357434783156721816796243891725011838533739199376758054139058236201610816012077929361269558640873359858145282945251917616759835194828331863283218201936205544225149903115201484816105505393584512688940562480773693183699600502853093430561506851214244158790957307102440121749875524856530111507412479616789769931697771346467217079566028082544358589744521190529678972990282897849059487784093381783473047607983591029525713806646417449679682523910050844920678566600219886009053074128959340354184490112121475317267945447046895951591199010989707949765962940128875801046208533964216595976727454933835145215662376226530932376983516959465135594624118964952341942612826381025739425562846422180182701328866375586313292953341857565824875071514260153939956751356561975058873537237286134163114573473842491247946161748630058920601637842709137046115544072577404543670262114294367580842578337256984917509375668104446687337072745825173186314966962614628254128217034669702533187936395245245417300728392975911440472612995271650128550458051024735577135402329135342579137840400895076018252790317374980546071855259026423052875416793950065357077311374329659113305880002324813899725791820643308476438100306163174092287726085624563994675249127861720954748583433578980169461599487358466401475776605704666388361031116058675587089652920757194186161987743021493671744235500558217353412120688914780798415338860507887161816248364821936434370803936276218851834514735891486905686301062523160404656812083533915610764961737363598612551234076413957336239036715892077517276437881918825122915852072067640400788623702315763419255896085332239309937601748423190542876556426838903043478942837198976461431754267887291831991862294161578581761878517596585331151190230228683748303297089774875846431301786233247718554567456540221904325399559147436509908473979673561775850816213423055207676274975711043536845310179938724291181281513308243042313823831025439429747167657433387130870910490622498072121754726930255479626125443932407924441606933907312944634798043660223261878807135261123252359363428171526142602854655622001936793306445187885864291393026774787551043753762098587965129772764242529044076745218878351196963314673322943032879390842164623984345866837732053701364684031846170564738056206529753114499307410686224312113561418988422429523896215091209132540519501454816012583948657015119753590445875017720795997583805478522688735595171872590753536909830188516708105313292566460980803977945002977625897173953724165394743365955121356627847128307773355646944344161530469585845082159786570872389230986666521451530756853374031446685971316661892852287835927870739319745036525483951489756805601357167655141568359729136004864437921691028491927170413755851158508965244347569209327832869541876005354167335230545722767804734399840410997000589289341414363428724488359034837291645448350535597483432131909304771667086981571751596335389674827470841795286523355008880634769906401041159110503721049941813485959709337736194822524724590930634352834253438155162706491847518232994753056596910658856640720777979342607245470712042621226111612624252748523892922898773666259997842821444432729198595167836573259470172330375051922391800247795578779549237678510873562699835990235094353906567237523975235042107082920126983663754138082818319693870249567603665576777216722583562215386304306975519360432828747506959352580421181916898489599511665592203110069390093901890921373363509736492774264923052966865650686169422024149477274611168367302555334340444627800903726887566112513880571434412166766706178498513318821727135428815745642373962984005664705340019103647636063919762398186328943173934158803674639714384908557611586637430091782887048520687530875725032686298332538433691313174878371980964431955535530444362280635034033897339838453817135951812545778790838172163676565466221346618452312933096746321301593826400383732028154820996576826775778433870984014863791478848568270211594072138730616930055676148369998081890808906406097293142997019511800258601032029807486007445682677295017847790865688252360456189594959271/6

Errors (if any) and Timing Info:
Timing:
real	0m3.365s
user	0m3.080s
sys	0m0.230s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 16:44:29 2004

Input: binomial(2,10)


Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 16:44:38 2004

Input: binomial(2,11)


Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 17:08:23 2004

Input: binomial(5,11)


Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 17:09:13 2004

Input: binary(290)

Output: [1, 0, 0, 1, 0, 0, 0, 1, 0]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 17:14:04 2004

Input: fibonacci(299)

Output: 137347080577163115432025771710279131845700275212767467264610201

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 17:19:26 2004

Input: fibonacci(29909)

Output: 18274572845784335684216601178323066366006776336520477537589519109768324469466528492187538658359179954538068636179700606684150890935478004071108835855440767336279636322645694152865982660278587000664971448961394215815647374009565410402204141910960884962840969470522590083504412110178724061970050812826506379491456714876765727272738158953662063579192524345692191793737885840247753379877753778424177611233556606962124710711919620645062880484317813910153976592327630517584385450493881418196152541715159292552830351055907348227170416665525399060395569340500220518281972144126263966215227699707634230534822630634639410904691350485527337218954101674743773033696515908535125928044630564702548424026691720436684768583394443572589897407195748038175352068918480670691085930831970932932496819188256490390947488581599298068185571182057214935760979839748176151723222963846523927440779269710475208806528926937810434252162440399212056012056604794241754074732496152605817213170756324488431752728256856097150434173558195744271431010237980996747073949939989027706919416702697215165889984574618423084622497294014506730811364982622639003084807457403582055166101651960092321145035823360148308240943168028488130758724953629496282839415338937287649936098662399831418594679862403532083832433696263714130658489863019392576603430383578892570919591195756434760148594159912276364766836914760269944582235414715462300067940582711510056784491240777754924303756588088843794333982495013440739950474871362406507469179012317989036786757975300409010673806200668690357692353133098151999250228065392947702325885933282237064781330697673511741757007934443068936878633395617841410708392387488201871207798429817855482520259633766064343611285294580721151336859440928795252016940388586743835210008675468175734759645608550110458803634021157408349581690243034483012683474117254458850285075036672923535431764519653185980762985999037089433471449458097268165408072413566183725043440144414579372535695216868858059641396256576817156287889511164608180318294660643031314202956085468691804429858337576463732437326934465507660379227707881621447341657436155905273019344763739951019800163136965120408244784663687770417171531762602094766627939843387136605122199054929976046417478454036236611735320378586936673723571444398130482596787373400022154345116695998540236785395956074315920605183897695158769051551558953922507704409529195540698618176166040722756381042915960279111299913614622516453983255952020727489300175112475408758941041392160253369060016828203246580569798239196073135255661366074884967105873475689578944025558723036908543041766971757268695157640937864304932612896432698417797419669851813226222965437896997929833017584189816512522642720493296670469053008874290379729013338592374898934231986738758078405189773939525090819303771023439032015473014097855471469834044076440430651229533150611082271652480603680524629774501402973664565725186680307835427463077896742324125420970597384702378162841836967466892166946321100983540365808589018824888032182910559613578018066829075879030069162680946064292469774591839875583387691877921710671955266025248292496362634778549290157674374261257873048871766998622249288978364872912508714437884162905937353798818459175842685600280977997916105969641749115938113785616861325186923164929489062705697665100633100369564155458625021412167314063931467921179009832182161821521797717763803037498186753233777767363400228428965779128843466746551736775569325611223839525445430553308907372946069331141488970782884841096761608783740155694573849985750210799776829452473168935327545258355623584597880821720886267354289949144700921947917315857026601356160256587268284463367290796506915883013309832555064327262004906647296785370934309968861550645865645104463648050429574336072567766417265644047342602222460157567340225677710990085471359352200053668765203176640342236294340217363328025039488325889941268008704941940836258025406051730950601627409230956928056947389797550530471103063766137925023900929313669162805115483176550406229633215414019771025715521970669536132775452140453776309863138810706566396306441781727376105041302438777767709686844447994408086611153010074297589712953329118869761999689239167299924542890304946859905881253320165210016086417876146858955059814688913232496498612770825006929406423066269793559084093808780003823970729573393668985363624055109392592184782606028614982378823258948402158295666504306448398400694878086622574262147876056762713043472222907776143280032190609912063878919452066182368226777726549341908747914605511762085787684030688281830897592165998085724511005431866763749675250306749654329281254365549642644307761195025496933099658731865181918415943412793813421159731431799060316188332111593973926191988269199841148618467902926062535849145685502898933095014876502935766686326840715772303320749056468664267048208753703275664267148875976154604693117821200935503516655613055478924701344780357391626493053300520994903972917592653433199024636162612470371093364327507779411281074327319895161606360570980405303039053009591184168237241805873628939647819515936969405877747019101988666439269250929312082028168452546147694958877572887260450113988718175506297304452870896002885860374019461695558985781482917994590041868578249481729163798433836206719367011831249382255646672804902261666782865944534768728644978830682557885600064223463961500062306161187568954398842442312310417443093296798691529733745207192637902321763151587060009102754541793703502171320933973013169529685995257760533831067225945456422615317570656559423493821881783241775580741330895011520462199365608381010074808720085988715905259663089615483225224780474958728537899798995589720881328556860265251053409422904626119134091459656888754078649960639173163545220349667729162243318874745442099259242909951541213978272621878365482512049037342636132299254994625420206578228072721919240270893075464841023691264384957671684048124256724393442387344369928082334423697127862393874395954908114993172504614141695655318159675794873536054658879918100835480185709230498463452907919724865921939502307135240245079804049722296889871653625868767224138027704958031539360498411073147339960258722990087918131731165861399208044312975602465083169986091784972196844289170901609892041319200976774363571396333955901403495456225510309

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 21:49:15 2004

Input: bernfrac(3000)

Output: -289193921629250096281476182678548286786179178539038468221123327191691929420485181305330260451505948166764764692245484306908748602427146801776152761685260411541590283062235781849421738056455112551276467545610744935157206644294262103697315206349175700147007965890970284189513205415433545870345808553709359656260139325603866802152726412082576072785435846337725200461836245939771409306941297043691852559376063641894599875570589924266277840379898200306795896839237892378942242055915934375185734790163271212397331319365760595709491449933304092033781152173243897835472273532261501367074044749329760693849122515463159495285165003423648735195065831438052448944346418229074417171387266847923319453423692574267963071835452736484127442918266507268162396109112651091379243124929230929177365422280688006502794987986606959995457281373513756930889718014764060062080848214103961607279285993077988131749378773790095172371536725522013240171458914839367258819669704476501462713156219934311691535060664222772548320177434011243920746132587858396023887625793371884454344518877519543161051773040861216673618122841592518370718448344136816219643106202641665532773654263686205674983809272830635122642028404608275357510283061287190235242414877050608226615907787862585233465572848317102969818754462088940554761655752796788352247649155639995313236900850924146368825711399425654204801289747223125087200790262605716359786518737383431135271090067460820473085586041637023259470963537926749733575315130245466894817935210883304931857272598301706191712610237899006405509866620531016248541894917186241551517604419376501035179701322124225529855983559040060112040992989362403257011650606026835167200978809898638544691273317337019606115052402816830343495858828903827869925445707759342291466730714584235232797356204084724887381647161795706982140161434578196840997637010803012993799797536420728873733729387628860633202485358953416548420444950869521212323205819051351466608454723507759654990756042813874303662373642974210279220968094831766841131533357662185456328066011202514969453638375958051035878381489638179909623577850568427379515995537352202643163542753012273353049575697785336235764261899135049584945599704510573736574193968357542779641352841513798590789591971120625754828781818384230005542632610931946070283240629311350530426870711469608023480735587498449712360658127006069708695533084324353240534427004197562594903338437102265529172215503412670903774599678072842785201791219239333805094685555478052976033483670229504055595973464896371445633529882098754678150364705047451858544976653596859497968518457025796509139471393798764181751641992325149653188159381057531642148914696109421558187854215542978494607084934435918381162694272409370144153227734160372916141621214058295630808921215633667826322644291320838745728306105309056733972706837203825748236321940727728992846735978975073336656523498260310213864554381363510650583675009542811609627806561594491399985498681131785338780941411213252645075712379849266982876582992954235249594275347826170982099339157465647285566635513249804115678393049611326131609805707541546136214618730863115499976365865347105630687515985224847254860241013908447409564934415369649960931619382445635132592290512058187966609549024824893722571481732831488938140922512690072740373681878189567856938748054106080469382483408613244647562714704136037900609303882667378502644900215891633260647664058890958984708016785150672272016636241816939853899294669631403885358115665824999483036771863283027215194030866347735695165283952556226389156788512057985761244859675604479019319697910574979465447859662671438001895255895180217461409069636799244530268090176400341940302751748090115738990032771542305944184178177283968719211466856724584226198389384504112927861417891276664148558304482372432586586437525089685711478924855807096115358275119037920821069085509786500764317682828630067618196860012928127374844184675466695968302518061483188910815353890621696666244205859957436006551037127314698700745427709663723136144652794793608054357021797940265719301173947996523670137939162050259211640436311702951683783487582291406017574400458320535567246331774827760650927785006325400063762015324604649803665952508904897599744208299893361156339966315803436955675829064162806492582686591484347199995523405497667461158403394910594313412263948275454486123224135313760103480120622967738626938733391700470924857980497399800542031245668000801048158016485840269037184484659355345614734872819430191116194857450548798253942731486022853135561598700171779286135347297295180319613064994964643453953076593316157462001649643247224587023103488607927880419733806933093254964416331299878697438741069566604072442981310441932321374816351288494853942852130488889192124366978167607387003407526034433857009310150808478283114117754727358756589154378667404749244053636260535999872991028275264197875778876826390042347984280872665306947463675229015209039213394216197692324077550248572410841969646844279768316313414698143253101154464062020171828814332005564190672825020628156528900862757530617117919623497794231413777136973117328421835098797213955971768551601248303352442548679226903250070405472836165169381404420182069618402772504520173376369219464592295344485836380194311864163248520653844756127456299152397250667030051106512175393949123008350176678062928755003423627889118004097194789191644325343799370680072480095912740719340164594442293436714018796250785935611260615658195774454731060961745717067733784063261295346311925753754048347679944243172150559888228785335829936687381872335411911297226076750992184218818079056867717017338539463726226199841897849646571682341226349171296592842679801264248788287628707814640495328551607067130466845967150295171716282411502337835987398553188157169391882129287376695198672457858961382337697764801524693312203947930643196423320302501160657105376355140995332987513080917012150153016570974801467200081898551403844441598397902965324709722236059499209391404128021449827815035645736921319848562032562468139427123509123512325605039143548985597606833501065267765232635278003510619740653764300411547215616622437472062914334067906508860495848870998499752848936169631553535904482169724499272610157808731597912680929357463948476110374752482911110484067016620213731358297873784379069136233547982660109749077181462298189738574647789622210238853572363231456487076508457824050674774121860080946762757930319064100945368542977302581810466594592556482863721819182072254318461178303268484247771547554339915359090793622044522680449110196728462776604228669592115419003319768208600150496827451075793128046102881783081150601555687505277526219226522830119111496483709031804155619753706725355004769705659178759950829262149690426475649300337017178980248111600655860655536080415376091806331620179538459843417141322454179981/12072109463901626300591430

Errors (if any) and Timing Info:
Timing:
real	0m7.266s
user	0m6.560s
sys	0m0.380s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 21:52:55 2004

Input: bernfrac(3500)

Output: -1355117654358739300080410317794255471208473834094882098933466308247200510592542991334684990949196569951010869269854368264753773132987101075186666060843022635946166513898351569255050544541574402795639993868172132767141421423129737066654574297153907360742293279560434598779479328583919621189707138445221430242707429380397067106815227575902589076362632767858853206689626617791034592465779726552734472328396489139182272508224105742146983778102052952471418268750126468484826994970637039288053235957587691895148636480657575492421824809743082540485313255892259021626598551744297536546451116064776748387799594561023973833283332318571361324284288532692164159760209855378906873639634426424377797889896552585591863698131860928977762941331957648032634612610361619014043717478040209265191270582949736640524723943960300909508767475192501382166263890160109962258350179273895090675502841851160366577689945991791593326523217662345095349077967223541145328972827747261795701618284547248458589127569989261870137249952002333213805129967998376840125559458536493184351437489694602055278791108764104663112260161963503693607294885286703431828713781389887122612193187242674581438581845601100590422150199267860108436496520655991849467840814455314045169064405549634923446289958197717616848324761619167182891390707307077627737111062644830695262417031167288097069348748442466067820602541450583057237429177949856516326971536793871285188528663268799677028497529719774444249389896695056810840142933306218005537616581150346289758416941299039514780831859250434823718486307703826486452141885631771959009041150208472817665566705798962344981202489522996778727294822515693824543210193479362836873053021831135968674721471268439037586587191586321117674130965480302523740571134244939628120479609056048357003842377470039950818154115394818048199712992685442086645466394086713722067925962841771776275021445547565029490538622940349222850244839551912700476500031289758712343452258959992268464128367417799272220857335375955931444797324134337189187211674201292247400164021388578291061703928626251852846859006575142662689433346731652136042094259357820575059220316084055154858785077170239823065989586285326140608937786177846651365239725252708167464669953761025050500808828357008477983456237782998618261816429967778131326254356739768847375391352631484276730490009098427116439461091961707957362531958296073618549181486455374501379530396600498410216627251847743143320169672784074351604690701015600545658868447207692569385744857229477066016706312897143761960163047669479517226164754766477337522116438906028229478183120444987121435277625718836217725139853617846457675905185780511723363294097773977582007474001900879617097091025886143415720541946436318895644861324786102359868510065204544206166645827599900343785163697992083150989821954936453954970718748511153549747622935772451881836522012875194309544853129436324408806197578604655678876949893106206113096532677965463822333117646480482588110884091085953237888363190560097681387802666555196868312684150845379524504015032359524146210490643192392006817913891549448342634109876904018606526745450021101965658977135368822480960853863484946192591881972065909579044168034136036518137829538760071727789070140293551464225857859114630135097266780986300634422318703646868724104174699075662399057370618220631785175455546383031044272166858306417790823343535457979327263692262543960095494109312617241040724687668022840945726321021882436967186452100022126611337907666655023598039477876072916309361897714439951625539826513353786917055402089029994765021899341465669920669271524200598138963201050404570557407109649345921920625779440337392670645878255410350110998531007891582428291649199049732157194608666890809872794851784986318080926208967573802795360703438570406956538591574998851030299556671403978764848773606158823127203911054977361609096582075195240165711015288611830682450357439999657117052316102848313738467431555385520101440985718023167003336575155199786091220537684710558960262466944922404853688522716976832902432148478178717028584416997881709246021189737373698123111145203044678819872201164695008965423306895904724093709655436801432100651078388444949539093713618242214677296946884412609417234167225704661438382176474971395469845693405565628284356354862213969587931058370080223595780233732767283573024025871606722350439422100033935325741871727534365337388232419306614962625671659000006452336465736557823257615012202736185350899727026072324302000866307169007667414905039901306345103544886432914691159664889823197575223250228866838659022957151790785364278798542638995256126625346790764224361772760463492142419973179595203003200084301893966283892696318901928646861860847272078972407621337278690063489115783422572922781959771504533707311357697410307999342896567715428024133257629121433525702524525555900264952369008595415002424333428434253401120983715872485397859780253878882267336478522888289506633152986140861123469751162598008043265590091656369045505449501281391463521453124548529875088999034702746630099751091212321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Errors (if any) and Timing Info:
Timing:
real	0m10.307s
user	0m10.180s
sys	0m0.130s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 21:54:18 2004

Input: bernfrac(3500)

Output: -1355117654358739300080410317794255471208473834094882098933466308247200510592542991334684990949196569951010869269854368264753773132987101075186666060843022635946166513898351569255050544541574402795639993868172132767141421423129737066654574297153907360742293279560434598779479328583919621189707138445221430242707429380397067106815227575902589076362632767858853206689626617791034592465779726552734472328396489139182272508224105742146983778102052952471418268750126468484826994970637039288053235957587691895148636480657575492421824809743082540485313255892259021626598551744297536546451116064776748387799594561023973833283332318571361324284288532692164159760209855378906873639634426424377797889896552585591863698131860928977762941331957648032634612610361619014043717478040209265191270582949736640524723943960300909508767475192501382166263890160109962258350179273895090675502841851160366577689945991791593326523217662345095349077967223541145328972827747261795701618284547248458589127569989261870137249952002333213805129967998376840125559458536493184351437489694602055278791108764104663112260161963503693607294885286703431828713781389887122612193187242674581438581845601100590422150199267860108436496520655991849467840814455314045169064405549634923446289958197717616848324761619167182891390707307077627737111062644830695262417031167288097069348748442466067820602541450583057237429177949856516326971536793871285188528663268799677028497529719774444249389896695056810840142933306218005537616581150346289758416941299039514780831859250434823718486307703826486452141885631771959009041150208472817665566705798962344981202489522996778727294822515693824543210193479362836873053021831135968674721471268439037586587191586321117674130965480302523740571134244939628120479609056048357003842377470039950818154115394818048199712992685442086645466394086713722067925962841771776275021445547565029490538622940349222850244839551912700476500031289758712343452258959992268464128367417799272220857335375955931444797324134337189187211674201292247400164021388578291061703928626251852846859006575142662689433346731652136042094259357820575059220316084055154858785077170239823065989586285326140608937786177846651365239725252708167464669953761025050500808828357008477983456237782998618261816429967778131326254356739768847375391352631484276730490009098427116439461091961707957362531958296073618549181486455374501379530396600498410216627251847743143320169672784074351604690701015600545658868447207692569385744857229477066016706312897143761960163047669479517226164754766477337522116438906028229478183120444987121435277625718836217725139853617846457675905185780511723363294097773977582007474001900879617097091025886143415720541946436318895644861324786102359868510065204544206166645827599900343785163697992083150989821954936453954970718748511153549747622935772451881836522012875194309544853129436324408806197578604655678876949893106206113096532677965463822333117646480482588110884091085953237888363190560097681387802666555196868312684150845379524504015032359524146210490643192392006817913891549448342634109876904018606526745450021101965658977135368822480960853863484946192591881972065909579044168034136036518137829538760071727789070140293551464225857859114630135097266780986300634422318703646868724104174699075662399057370618220631785175455546383031044272166858306417790823343535457979327263692262543960095494109312617241040724687668022840945726321021882436967186452100022126611337907666655023598039477876072916309361897714439951625539826513353786917055402089029994765021899341465669920669271524200598138963201050404570557407109649345921920625779440337392670645878255410350110998531007891582428291649199049732157194608666890809872794851784986318080926208967573802795360703438570406956538591574998851030299556671403978764848773606158823127203911054977361609096582075195240165711015288611830682450357439999657117052316102848313738467431555385520101440985718023167003336575155199786091220537684710558960262466944922404853688522716976832902432148478178717028584416997881709246021189737373698123111145203044678819872201164695008965423306895904724093709655436801432100651078388444949539093713618242214677296946884412609417234167225704661438382176474971395469845693405565628284356354862213969587931058370080223595780233732767283573024025871606722350439422100033935325741871727534365337388232419306614962625671659000006452336465736557823257615012202736185350899727026072324302000866307169007667414905039901306345103544886432914691159664889823197575223250228866838659022957151790785364278798542638995256126625346790764224361772760463492142419973179595203003200084301893966283892696318901928646861860847272078972407621337278690063489115783422572922781959771504533707311357697410307999342896567715428024133257629121433525702524525555900264952369008595415002424333428434253401120983715872485397859780253878882267336478522888289506633152986140861123469751162598008043265590091656369045505449501281391463521453124548529875088999034702746630099751091212321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Errors (if any) and Timing Info:
Timing:
real	0m10.434s
user	0m10.130s
sys	0m0.280s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 21:58:38 2004

Input: 4+7

Output: 11

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 21:59:16 2004

Input: (((a^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2))))
 

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (((a^2)(61^2)/((((61^2)-1)/
                                                   ^--------------------


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 22:01:04 2004

Input: (((a^2)(61^2))/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2))))
 

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (((a^2)(61^2))/((((61^2)-1)
                                                   ^--------------------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 22:09:05 2004

Input: (((a^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2))))=a


 

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (((a^2)(61^2)/((((61^2)-1)/
                                                   ^--------------------


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 22:12:33 2004

Input: (((x^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((x^2)(61^4))-((2*x)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(x(61^2)((((61^2)-1)/8)^2))))=x



 

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (((x^2)(61^2)/((((61^2)-1)/
                                                   ^--------------------


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 22:39:39 2004

Input: 135511765435873930008041031779425547120847383409488209893346630824720051059254299133468499094919656995101086926985436826475

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525386408103949799500866972229262859480817018719698120726392069442813577455150185941485098426631249902441688905756495395921

432721239455124500755353665180629864171119158804131646974939832837352506164960615509952472337946824205485950329783273866027

030146453178435508077715429967263375155177155693589463359526761880579869269818372384620008978066301827895637177298151733675

6799692263392963209803277878466666353519095722524102163815542116061659109988817377670456929298995900564253203499/(7*13709)


Output: 135511765435873930008041031779425547120847383409488209893346630824720051059254299133468499094919656995101086926985436826475
377313298710107518666606084302263594616651389835156925505054454157440279563999386817213276714142142312973706665457429715390
736074229327956043459877947932858391962118970713844522143024270742938039706710681522757590258907636263276785885320668962661
779103459246577972655273447232839648913918227250822410574214698377810205295247141826875012646848482699497063703928805323595
758769189514863648065757549242182480974308254048531325589225902162659855174429753654645111606477674838779959456102397383328
333231857136132428428853269216415976020985537890687363963442642437779788989655258559186369813186092897776294133195764803263
461261036161901404371747804020926519127058294973664052472394396030090950876747519250138216626389016010996225835017927389509
67550284185116036657768994599179159332652321766234509534907796722354114532897282774726179570161828454724845858912756998926
187013724995200233321380512996799837684012555945853649318435143748969460205527879110876410466311226016196350369360729488528
670343182871378138988712261219318724267458143858184560110059042215019926786010843649652065599184946784081445531404516906440
554963492344628995819771761684832476161916718289139070730707762773711106264483069526241703116728809706934874844246606782060
254145058305723742917794985651632697153679387128518852866326879967702849752971977444424938989669505681084014293330621800553
761658115034628975841694129903951478083185925043482371848630770382648645214188563177195900904115020847281766556670579896234
498120248952299677872729482251569382454321019347936283687305302183113596867472147126843903758658719158632111767413096548030
252374057113424493962812047960905604835700384237747003995081815411539481804819971299268544208664546639408671372206792596284
177177627502144554756502949053862294034922285024483955191270047650003128975871234345225895999226846412836741779927222085733
537595593144479732413433718918721167420129224740016402138857829106170392862625185284685900657514266268943334673165213604209
425935782057505922031608405515485878507717023982306598958628532614060893778617784665136523972525270816746466995376102505050
80882835700847798345623778299861826181642996777813132625435673976884737539135263148427673049000909842711643946109196170795
736253195829607361854918148645537450137953039660049841021662725184774314332016967278407435160469070101560054565886844720769
256938574485722947706601670631289714376196016304766947951722616475476647733752211643890602822947818312044498712143527762571
883621772513985361784645767590518578051172336329409777397758200747400190087961709709102588614341572054194643631889564486132
478610235986851006520454420616664582759990034378516369799208315098982195493645395497071874851115354974762293577245188183652
201287519430954485312943632440880619757860465567887694989310620611309653267796546382233311764648048258811088409108595323788
836319056009768138780266655519686831268415084537952450401503235952414621049064319239200681791389154944834263410987690401860
652674545002110196565897713536882248096085386348494619259188197206590957904416803413603651813782953876007172778907014029355
146422585785911463013509726678098630063442231870364686872410417469907566239905737061822063178517545554638303104427216685830
641779082334353545797932726369226254396009549410931261724104072468766802284094572632102188243696718645210002212661133790766
665502359803947787607291630936189771443995162553982651335378691705540208902999476502189934146566992066927152420059813896320
105040457055740710964934592192062577944033739267064587825541035011099853100789158242829164919904973215719460866689080987279
485178498631808092620896757380279536070343857040695653859157499885103029955667140397876484877360615882312720391105497736160
909658207519524016571101528861183068245035743999965711705231610284831373846743155538552010144098571802316700333657515519978
609122053768471055896026246694492240485368852271697683290243214847817871702858441699788170924602118973737369812311114520304
467881987220116469500896542330689590472409370965543680143210065107838844494953909371361824221467729694688441260941723416722
570466143838217647497139546984569340556562828435635486221396958793105837008022359578023373276728357302402587160672235043942
210003393532574187172753436533738823241930661496262567165900000645233646573655782325761501220273618535089972702607232430200
86630716900766741490503990130634510354488643291469115966488982319757522325022886683865902295715179078536427879854263899525
612662534679076422436177276046349214241997317959520300320008430189396628389269631890192864686186084727207897240762133727869
6348911578342257292278195977150453370731135769741030799934289656771542802413325762912143352570252452555590026495236900859
541500242433342843425340112098371587248539785978025387888226733647852288828950663315298614086112346975116259800804326559009
165636904550544950128139146352145312454852987508899903470274663009975109121232186100389254382689966128044231704092390824575
737552056511350528275128189838201537049596727568477139484416797411865646757512447979283912377027260967657865453504135915953
761798912950625732791883694210265879653324892932333156549980547813115863816848212384625635904055866589084091246253032014423
791759156757529406466853536500324922693841024160699372426670408876986263289740858249793726486229274029720133875725407636466
533883984025245327075973831770527329601637220374963117008081963084074651546530693586769444373858579503047994922458247527067
804757367018104564501890374173819124878206069982000288643641715235743438270898661432221359175212277863793885117620470717722
344274108130829307793677001124965784810946171228135000618329545976438206544124840712056243459575805864816877205022257628323
305492415079374373888479538347559462433982201561291397513115415692640489413537306992190492170575764063406228381739581836638
241584168768467950849978498649931028665998662638068193529200276448529244236775008802101229596328422039855518741574953290663
167126058811877692407996851231695067922233116159435577220029128468736827611127477758981775814380125442202049226728909687173
866405331895322923158857674256484938328936505166934140345606804931924537258255808397176032794947814792614478787344852150400
3540809677116354802297179394188672030381797741903977941835074490679568782219584737590870711690083446307365495867070382519
950239056825595920027394474157771845283274427966539082946314148685130068665758836735701354762587500383741866740409873935094
19356473134698097694692185366805939233073292853466787515586650201612176953440505649555985111281505090217587521218905384081
657787779722838554148173323364058242989157133095510798195926774320724828542381991592049320465028659829350546734602233264040
460199203594489996290595617108002615651013970077731373929679063420182503463601531922006308608568270120254093302158280600048
63974899881242710959349968024034147927036088757319060721935253511271007997639188226423879026748632932133271063262224833871
664271056705690175116223833071483389882703530009162334057514019378671752004699641283424896992558254830452619867309949483409
595535482749130618704463636857585883269329253874957132697542305767134343623637029865332774411524969334974638592661296187185
677848961562116322675309347367572903734760601634233102261163592522081728319782828638620706026755968436225657896194705698549
17847848595137103234679118926600026577194210792625631955601282236145750912713582421303499825474872501506582394174555794029
894594925309492067754571412698160749999814513611027949200096578214450986449344646914292650208367319161494863097177046790554
525386408103949799500866972229262859480817018719698120726392069442813577455150185941485098426631249902441688905756495395921
432721239455124500755353665180629864171119158804131646974939832837352506164960615509952472337946824205485950329783273866027
30146453178435508077715429967263375155177155693589463359526761880579869269818372384620008978066301827895637177298151733675
6799692263392963209803277878466666353519095722524102163815542116061659109988817377670456929298995900564253203499/95963

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Apr  2 22:43:18 2004

Input: -12074896022970*bernfrac(3500)/(7*13709)

Output: 14121251465239095277142339420341751208366493691265196991897567898535899363218563314347039910686374643883693395056994552741721008440618791359030731228108986129509983159117071884528938700765653458058209871181310846546496268594455540850688018269061068961394425763684280387018739812051724322808865275629372052173310852937038932784669378571976585521113687232150445553907512455748930238381248257690302224069656942146267545910654166107218238051145263825343291359692032017390317048973427667830864353527793961163663458631530647149649602552474209231529998602505747232022743679796354183867231287733571776495103264393818178186210647005318313561313094970896743117245290949417034415760599673044587996310000235357292536687388482321079613406541663433121459443851918124840237565291208166326514079207087488308251346289302136339097021510295649179019662684160665696761774634743547936970528660537502647663057073995098041187991388997270774663963894662954944394952510313993890370437403449751035181555078407947543712159394791046693049716744978552568443665355777676649869611096929046145689391836062906152498985671180597663758895462696074860401548319559487746445955078964544474834903510739562023093798643934225779065853721288328308492239868025322730313395845790929039799609830848531380306209285028262798072076814054141989486688230305750083494857717737962517526012613637194208399096958729750604268615799316992135791623196376429302840976868884879349629518978353891023096296454832141667519178572014401441572445433660330437339567763607218561120763828250834422834699912506137641092315638650020935246304827990713271423014138771842741277393261183964431367243859776099377293438027983314786668330729876472897624308027765274507743476043749373380095776137472802264837188648176272397908356440045104436124781191397100453488887544103644615109083633123621464996575701955063118784593675080726699613616139007378150855419515233467303546625673977602831054677649612441382026950584704440966457159190706827342005328463844981205723011203634079688913557039705847539157425480534980055455789508729946467355741343800659240430513288784762210873922859412696300232592937736993996215052438650728125068928506667425368203763806653050148132506541611956352601210401519596620580940866344408553124185756833348459946192073692757951775729778558078086089340189776104089393724759526349910272303825033689623735522631598362061932010112807795727306674412018157104473883182557268356764270320686872561348547888411164153464027252250269055633367623245178516894077018196010566157404913033976816337179483410036550775991151860907115014986197232132399313043836883342722978021254210961075371811904385145559885519395746043600215437219562535738744005771871902876322561262531589212976473482343219364427019426284549317618726254909708364527616873087368579450641965512269884963149844327017181076278730056916539046528483636342231327210794121947092172999787466582733730186562593980107922143721699653223983385747428515032990674437918293903779198134281938678321881001585995313951045203311479679710044833524630807816456792642914527660805639146841414233713794941994378320242697926304572168201654479564842291861066087410695704406615736373175538155686421188563694648341132225209602348199759818515738960423440598304526398518036124698293287034032582600629145598570932537096283132255471225112340656117785440973780085099650811493424918541305787268970984066359904276745335360931199782079218269968068175453267222126936282234819900655579107652602096887321566414931514399397287472405405746230732954506984847462619989881829400550440266993171013001565931913347833424999229394710154511708779939621749222364655547840237077268095572359660608760991297599933602447289049422508229157161269351832193604324426980378697270916577991546693628830263439106286158119014608245160109174071298091606648120694005222087720382386725733971390870181166076151339738113771252279007090649517596542962559557832849519788163723367548966174314246357106419521848579137647751951665586846586291200430842328864809234003907514697356607739213850307186982659961461284516127984091511292092901901806369942789118734978012452355838259494854517821552634211117119104770363457217360223145520859521009944425944211963042185364851304197049262550946458232813374380682195904966334486779927826032824432941551225197167452390325097001688401007384166005131555100403634060270540434620993146706420520610095713583627769650802980860711584012148674568479645308464568124170013714372459197824852361524834232098882276516014975600438569374807906793919425436861865752948833058977512405376570040383942548675454487617687302661930022656902783080567129957821451738478321884509655641256463077268246056489500418357719754981316538378412735505128956613373026931448296976771878447990722542139759046823338154735643609676938238000663058902217789174208033887021716206965274068286760775855573859231173691774078264387293642135550981964583604915674669294484677979910391099939244825220116170224623970610093150959280655057484566588387744490569593229567635804453243751234862303307752581764769169647673179042363380062356410759953060247857127281168276126198451646681491483964494350894033825267224414280244724318673229513148532347640013906766580444124689911623537261833497481705887713585408264111473415082537017449205747617708580204077053201328017659575991172769322867356629512599559909291019087237116023918064534647835536685949003956775932076556932332342491355389732108132720915366742986922838642657470481750804510808954892174122039702972731195873734356791884693483389592502390878439549031799608130534476300496883958095078807182666038427779653655489492734166106319100278262313979524945629402818888390466348630115274874468680000116463686078772271008003931810104706363598587472857748397421008944593293074366784743933239282310964856897289536155170723807843129357942990872054064074630261026487243869778921296122693284004397269063640746187644135087201003740034406028965753822434519735687904362956721253896654747230701259719884854440357081650018047948605220392081244254220377520721656221286164671785533876762393140133506364542460310504299365052283869310872131250185950374333860876428283487136826430786759665268320094770088685141849349195749806321741910457459975079736383448301775573554929184596182446026586489015272371206443856072944254328730095399142101106900617946869190175079598887310440419139530030363973379521688352993869980167311232685470935422076291038221340131859726755840311632603215724479809501581588161495344231139426073378962629653753441293532931303289688394037426379186509423813539253713397240091912440885876295874211382739739983737402235579635220531612766029636590370971461970306217603150306003885895354201225358251001079352227392103055776515253104223319715844349707232037159731018655182187774702957555729741719728297346826437974490400806981905546846554869063731917053146317082172401234859032270138457432908535842300011622388004367163236692279342464627216560611907512684565914075498990168082284217265813598583699688323699960948856462491585052487753240715591087047396614660969671876122450492822343685138040194264855524679656730479823474585239525391454975216672259589596123862832236649360152397551125674473441160613521407495506665975893170998987722692009342546081003376045174261656507573089318785920904349751984549771749381809790876398786808349213980005072299672516237810795281577444872826220643747332001055440094914564844857499948518536959625886664100298922399033778497456009423911207332680306636640602189659101107260223444050910341768554799381376137206514229599593842853449328806925022657202202105786039558235795124162418277212157597115565017581198064509169643186883762513507009906057007711011227951455719953149453846774225573082566120573500288342248543513721579365947585379516600167350070870900933823442622853485797285974377774008861692019267921527428819506462300169769474081848939168203665720382456255079094020869745417173723777492401215392793683714571913464401436811866597539391575415022160175649934178748763781934690377522417221702115292150756211028796221178803469428392189617492085107904122191662064195091015242567699031541485177787914707856036361698471879050248490569951473

Errors (if any) and Timing Info:
Timing:
real	0m10.398s
user	0m10.000s
sys	0m0.220s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 23:55:19 2004

Input: 

subst((((x^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((x^2)(61^4))-((2*x)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(x(61^2)((((61^2)-1)/8)^2))))=x,61,y)






 

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: subst((((x^2)(61^2)/((((61^2)-1)/
                                                         ^--------------------


Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 66-50-75-116.prtc.net. (66.50.75.116)
Time: Fri Apr  2 23:56:18 2004

Input: (((a^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2))))
 

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (((a^2)(61^2)/((((61^2)-1)/
                                                   ^--------------------


Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 01:21:10 2004

Input: bernfrac(3502)

Output: 209118940419164887302732604735524176537420620842887474285560347103737822489808658825303530281360330874527617920934906696289016190775509104383682918849291458581082104943450844735464864450610663262445700455044170295414782333587040919490517213354665001575203438962195086744567012464493629520191244255518937374673047395579585624959179249710252031737037057086645339654009309108800893927281437158543717578209621496085496705976554088751801760921694728751255080421261948164203103654907910587909366730352184642980196695409944436845009147900098142540862002215368665095762507244256294657784275795667831835778189486763020329114246125762466619548789141908832077502051703784514515814431539811683891054562808905099707377592366763969115416494169351070641644561861905923190972389080436503290274983016857131706703444677763817960985980206067374942147253302832487893800723955064556363657040242921170035339188209478621213027785514473704305387673906416853496688127616858015778777005472845671950974183418461849279352897603059768130497574970473036301766818754154972759143675529877701179011110508915554987420574616851796508566263445032401450321791168269013392255085084902180377805295800190955738970014645504970212547650266136105817014233190759296404059179822558633127685254423631243211116674260469917387356435803301436306493329259931993440699143199200508889638158392262579513075376527773167905616728902447475805729480474667539845949410090162752380707620999774301802066993203208763540785536963856242831518508903477325694987299631642945125771493203123078212713506114258811992679262291689296570004326365526525422387951018579927240559118106255614524834762750393652915020716426739666859293643213194648868416599620751664006671729116094399304811816742817170551686035564029062481470115673704112896991738857181761936700732168135810192547028453329876391809534513771507380859217286638786131124693052192983881869680110252415319386357022824195468636876104877945121592676416844835619929655748537481335482357402612490230120051539144125635898324403528738250862766874231914294536714055749999810328321776549572174281278223273636319134690475995628459365878658539441736431551939486034928550561442271560933653609641326671162625071196312648660215721103735143785506077602394975771859118457998572157930274615127224625272621146682554673515259697539290117477853118361933470424418409845336225186880923402545245627761298162638479384780102093826454236280568598233333782968624052367104690469105471719650690885506836794629465173294670949054318531616453994151015942049601536313565391942819017407285980403444269386762439900311958638677991531000650877929567610481237262713795111278174217122575749536757477499542003690010398060931373252807417279358423427905520609176150984985686273857057507380930092586378789083413919417899769335850301565623559974027203745726563397110020441297120515688437080829150728895117615022359236627500873424484666007498325469458970365166012027017617475361442847758042783233574825763372000634416867911394125699533409272381837687461491497548843515156802441156351943776722376471374399156739913622252693724436599498519925556303998160957712922077366726335905319029700711795421234872310644822753855454233175346328126633431644548479869545974646666866889562192711179215542417148050992867336655240672840534800158716301214448057814029182909364662195865426579009841815554136524456075213051474222410496588261438320031210407533421726620174887896481937712192623263817113746745969499220368191470924431437160967757372862133582789616065067820316204514623049698697802562884479580344611966103902273372287921142753585193899049424243556651380650888381387127416965897528723061740873112649965566046645505053565775251778616787265902792147684354078116785201067818751549974299224169664222554770254401444577049368210580730002442732050024819615292416728891164037231351309198485536075104119268674343135903046913701529143782112429486402410739613598160502163788451602079729512908244660320655709342506604857304006713543084556096086124846559595610197445558816084997596138768902157267816522139257590719413930497760203977144234975267145361705506740272341340195861259423500225181382039725070756810234922083129599297055537743928917941476211507658175936262511977384857829509525886136104289435013958561471183675837234606694881795667175183375496893339116633926232204619832173181363535730649764496904322787123289743324530061468221889715920820977044425567353908583179555853967941052691861795729353179161125820546152792324787972873410190182487426496372442778887825656928562524463875762825436879660805959516194037859825790186519586472936558096626269793747216282781738968314478203690038221480406816336828943745645636822231809835359565256261211601797325227190515222404838319348055451535390655370836042530513272406396528666066419607930252837628592508993082637381013131596214464049175322333374551365503720119375843586844429156795879747947975484411868328756941562351455259380052676823783853155146560727482697093082596116297620744205965144394501067587431834788599121356284935558975194703800145577196381224787977051073344826774721058734345037458835427642042639217842000999205406296566477113949716352736320503424263035510024680331129427458638373262274884037296118553476908762459127235842832481829151518685739450040783660709698996801647539990574248151195428630379418448328532961332749648720299653351170271015273253993733727604589437157150360907377638419684191529063790558455433170237186007750915457874290122029747459874415287784634967107289449940859791034267141586821097751296713063615706865730548942004945840905473340816381877801674117329489271573890417989224946071906777285102202565804307480081658742050255709008643168203872863059154170416257550732122958808148457228005533911648718090569435530414054015293172157258646884701864499381758089741425092114579575959625137975096361182434491621390035573806610630371246779273064734073048242011945406255522098439235959907840860234687584592791990057553070586857429469286801635105773312629291532891108001860635946329657005221342403218021545432812348305829046344893849066029277477901274757235175553666872321259429330312321374276807888197272028667060808141016201145273065684725061334812439012879028011191484335189068558470386109533971041381690116951680299524443895099283448896179183804520762894404437302600719952304079962889367930759920303880666149438332834951166573273265836799789686297591105641387806623251988942572575410281187675433733843659647823402569223531648282498342720535979217431986618302762482253941692721660715916592910289918268742322928705081921741518138425661784311025010056321967801889901611374346476058823653922454258373621945601649099008137341727214163785856679911527739058134962443299252451968828573660833652036038087047833937598587344301171153314988692313204588395927641224864715359591830358503241961073578007425325855749319412947024385485978539817346377335198383260199974700948858422853830214905700110541209314163602721839884009030409253941429438949148849048778127454496103218866198663268509869552186676309735784997376761984091727684313775630684931559731063754790499389571411335407313945259353361733713986847903150660922082315992011455988030747921470640590160035126698965939877015830671562653782384442230840060340266479184447197571010169227957591977061780925233648731845566106398397091389786364989180900174218982302768079888798089417775932491261663954329793925906373057276372725800628340519041350062900867109036493721436772959483491542339596249096639501594656401924672758541715698194649679824380206269571911482445819361122332397721737384536999550352268910729542676696694419340878666517794204833886507779889005461157768941127403144501024206593943879319787427704474292520774352246999079201161775063596843855457661292253421619884359126231685150581456946080106295390055267072135045652878588852215134402944191228215453189255521571846382308509609285199436019995299067224428599829883155233518432228367050254737518431687977351946115784550979569538285532708118621894637502461901153407662937605689863861259646694142516262283823736959716299630915256253706462090412880943242652816510722280868541156864219498232475227394089870182601845071804871/6

Errors (if any) and Timing Info:
Timing:
real	0m10.929s
user	0m10.580s
sys	0m0.160s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 01:46:24 2004

Input: 6*bernfrac(3502)/103

Output: 2030280974943348420414879657626448315897287580998907517335537350521726431939889891507801264867576027908035125445969967925136079522092321401783329309216421927971670921781076162480241402433113235557725247136351167916648372170747970092140943818977330112380615912254321230529776820043627471069817905393387741501680071801743549756885235434080116812980942301812090676252517564163115475022149875325667160953491470835781521417248097949046619038074706104381117285643319885089350520921436025125333657576234802359031035877766450843155428620389302354765650506945326845589927254798604802502759959181241085784254266861776896399167438114198705044163001377755651237883997124121500153538170289433824184995755426263103955122255987999700149674700673311365452859823901999254281285330878024303789077505018030404919450919201590465640640584524925970312109255367305707706803145194801518093757672261370582867370759315326419543959082664793245683375474819581101909593472008330250279388402648987106320137703091862614362649491291842409033957038548281905842396298584028861739258985726967972611758354455490825120588103076231034063750130534295159711862050177369062060728981406817285221410638836805395523980724713640487500462623943068988514701293114167926253001745850083816773643246831371293311812371460872984343266367022344041810614847183805761560185856302917562035321926138471645758013364347312309763269212645121124327470684220073202387858350389929634764151660191983512641427118477754985832869290911225658558432125276478890242595142054785875007490225273039594298189379750085553326983129045527151165090547238121606042601466199805118840379787439374898299366628644598571990492392492618124847511099157229600664238831269433631132735234136838828202056473231234665550349859844942354189030249259263232009628532593997688705832351146949613519874062653688120308830432172538906610283662977075593506064981089252270697763884565557430285304437114798014258610447620174224481482295309173161358540347073179430441576285462257186700194675137321608115517712655618817969541425963416643636278777240291260294449725985918176449332798284210061350822237631025519022969695713975162489626717859087717752918072255063698384986501372103603520631759187501443303065253434321784325301724295096852153972023864063807358546355486672083740510884919248103626361744636303787548328671052057606508974936017915885681426028382548982967259818428763480382376505845571130623653209403866343046436588583032690336800670926909899521270733076085384752089061113310184993383802101495088844814971355354721490926135367174926284329906829556013463713008740892802317262053699035445416791918548361526822464030206584215700219182034337451237859631103786508719038168672357353565819013819688403112710448067815395012367544247644475049442586201835761300188523298731416022345297316116252691298502199644632136120789292432191149874571156803193156481699246206180849523042956161805898041994849116217137534097349685606556907212114155755177024998308382252433343853086518389569898382614294969297936519334927658674904434975156857785861909925985158974749094562268177210618683850480568154617051495127776288474971624919673164129310967968075683701309439909173036445198584788110158525501295452859693979315980336375406474655943618555138014974923767485367644045196511386801308739405012633149981143825526047663734584425877927951551862286933364315107526340305574974859190177295517670205926286732249773011406678606620754487307021978806929580057956303110370790979848848904475415120124875083328054524903571071031111792456793191240801581402714372277786078678662848274640011094695001882515042953820938362918940663896962402106465024550709337290030219902578311132480631588017235454161328031707794098521207321146764904864736104383980333002176404507015094856838848976476207458355152718470317786893444850633906958532923922691566517565033840156068972031734702360542748028288364360619243809995013615638248675710296137512509238855143004979691695731268502032451520435507805890422748393748505690532490869860293179083095301796093166395814584051143849729507355249703047868910293242496545970633661605453451521750216906215493798635179613836712446987622046182623640020224559216476267356737173960596856422404448310060801087159076289606888600836272857178980718044286127996852788685501892056268613351294907736828535112950740118491454681293022946948841259849484507988224497958673053689917167202812775930300748004131721882607603685008290950884006717104812906341545253648743166531964318329833722429030897936179576431483290173064630374393441396852066266377472435009315691204251066269807636112490028510272782779318385895303716327562799169691297961536130877736080940086832481996474002250580925821021905448656328129371137771992450532410867456849044032918984182874199325371576761131346272489510756604396481830995232942549877485564384429266641254129343042471372480618641935687801814023584046561939300465781402056974065601374391761701547379152202172658768496568550752259195078471806954345832468019079071791272500848852764937855547148397432611409657318448015312586225483378417971585872104608942317809175120959567258660608147746038844652479672782198806931550644201323500033245272189417715343020674052996489060798785281915496296635698143324845895493619732833292733191123683980978482142812611619433471262044410176225198336217275907265325562731385918919614559741273497776847313145570230365093101331622819037935705227375574675039454277266557603594535786483018596678391166233298519027906944541598397738905722814959803796449195549386612599527152554015686474424568436330145105251509449910838659007783243857567857005571751630963348990989386187234001966658294247379433580019905395233093622992270610320962661848701529618758475328234451041048597416617948719325916849809845184614496817060763561987396742712444253298460437787520190057860438232767925836722664967197961510425306899323992687177408395476437361572931508798597301926594523882600396701307646452357203786966534665891819703585308753738891003035235840125156388367578989770190844710886819448718655780901090760250767440241687855009992985222342473371215296637542449720965333304003120138609785322303611928806415613019574768400709375579854964415654747697854640885354216846495811247285302034310398460016408902443498053635377622323140280545428968975929736838878032064084659731107572455236581852038061202724914072216823640302588090031707153396016371821272870304735986633514455753131800099817356072172173239414056537889021587685905655323715733359021528465889498085072643242152356520977824432940876601148240216727463156135162539011052676328003019660291808951143707668947683246082291833239358470429692947785879627661155418809142982661784328705630209007175321698664498050994679309015278260520893553767835415863471830945090302632556456200896244704741708035351697715683102833304451487786029840563178886658793682712747058489179475519804051906576069887216118446356319891829348095438979666991364477760331685463318833825330392322853800285815040280087852214829655301972998700957895810775432545501711745007621333754970719337161983628889618300306405155958784373780481275838207837999468537411278968096959688380103504097886563029237436776997552635637287283107137152417145047349668258947210230896936332338253013012295914412108714281652128426772737641376513837219890600442389382508709625143556941642533011400184294201631843580563974929863422245258873343007708018508476284236628405831343111835352913232047253485791201178997795723140694585821322806763490306744236911890026781958404836841259027421167051160892344489765236515750799977880945480941743207303581657568375501909654556707559869104798105183364153202805878263667659622596147033990526277611105624463955608781303810881304390747563875739434709355309163645220012546149724464896690545938690782344242194952488304757818126913932482066782416040923634980040691536072361060733219144139634063200090147567339999954359875965326211940613157606975070178320876259587557589203663611127337714087180286779471191340957494122694198659234499103523666074658872439414045574199187012464308125822488345931216080133072447479736708186821872004958468746296516086060383477985196382466891943520406262833057

Errors (if any) and Timing Info:
Timing:
real	0m10.194s
user	0m10.060s
sys	0m0.130s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 01:54:36 2004

Input: 6*bernfrac(3502)/(17*103*379)

Output: 315114228611415244515734852960802159847475955455363575560381398497862243045148206038770955279772780988364911601112830657323619357766928667046923686049421376373067037370957032823256464757583926052727804925710254216459471080358213579410359121368513132450817307504938884142445571945309245859043598540026034689070320006478899543207393362421250475396700652151496302382821288865918900360414383877955480514277738760791792863145754764713117963382695344463932529201198181761500934490367224138651817100145088058207517597045856098580696666209731857017794584346628409993780421356294397408468098584702946730444554844292549495447375153530762850250349430041230985237311364910988693704511918273137387086102037290564016005316776035961531844591133526519548790908567747827763663717348754354150097393297847338960026527890980981784982241894292405760066623524337375090300038055998993961471002989503427420048232083707344333999547208566389210519241784817802562407802577732461629580692635261075014766056664886328474724428261965297071854266420655270191276780782869604491581403961969264723228054393216021282102763165641942272815478897143436242722652518604541682559208661619941831663920353376594059286159353350999146432193689751511487614666011821810686481723707913055529045979641684198868820793335538256145160075589375142295609940584169759670989578814669806306894602846262866018626938436646330865011518336973634072244402331223529782377518297366077101373841408037174086827117566002636323586728373618758118645370988123372690143588709418884837418939201154678612166596267280079672044564495658412411157930659339066590501546825982480031100386068504562827776909614247799470819865356606879535544171838775353199478322407175792508572906120881395033688727802457654128565863704010919476801218261564990223440715907806563511692123412532921545844181693882992442779828057199892380922499298009559755713950192340877028987099886009224008273232518205496547976167564826047568133213613095322265798594920561761670274140223848701955640955321639237640154852189293623773015897247154531062591770485843746747547683685537509925396988713985730459540933979671817324688762333381214106724618634035033020785049240270634546792876202406270917372615115241571209539849982045907857411411500092635752595378529266460865830568909928928098791073245265886019922667179311467879610223661657241426195085521948763880401370228550206886118239706466472199654897694485663607582369921444411461498772091111701123203580774004330206622805071563772272557668960625513734810461291555965985537012471729741035375777645068279727507357881352788058934193503165109780732896740499060285083333625385926869853178675552415908772184081070534104898282027593746503032464484301932883100886825964364909624468115445505977396794078479663984082350799602011687131541719498900515651916392381848935480133819594076072655717723487845902510409926556447797063743480708704151718616010579203150402296267129631714656851986603384534674408212658040536555175897622575265147268832301472849588449885813280971276815044998860573475777584224252333674050896474493089360405798893089742452069509619830537733517227243174963289612234195199932349730089704807649185365426029671432010740118700622405482772201684441982613583110404528233194886845199217001088774627311420978991781033138504858188536303742454314757278259432880283056741335694230630382098756314351127597008589213964764063198847942808888748397685353445564645569870961760166768168092810617248111137351591356568491538079908257717742529896767822959499383036407119514374017143689770485922952258686073611327965028505796721191993030373273612061934340186394282619733146654813348146277359079731388683847620658478707299779703800716628194034041290036907356591837237489797439836215443796985927828989043071087241169771666766487072397695972795044283375274475376475850839443259960063878087469351829917130059294076470954608528329704852453921968618655131711258458586948672378940324264916210306531071192880842542609413552760438895838960538319687801597164751027449991180984494071363664933477543781476198021066197013076160646883270261251357526923891612852002708601854759724695870525940583519142745995186655602387493968651284271180579895600921492155920666835698346781012075289020499191309465870066160617286819915884570251124763741841611344413513675826679327601556500871170377171890649492673137194932305022481683145737734672972011959287586088344375721857876881577546441391061245333696770285718455178814963977392758847376803223115313412747141661094060359760387952263151216851321531953188490050729794547008764928606133119851660882550024466259892911455885888992599470106364072066981654379899316771928625000424659466100703473847039267771314748691761897477674426219054964732576819887072926813107099803339901316603166122205739059619951307231027589105136812328262491532290839280702217046293130723906463300088681123796157370120720442965013820667691960339249014753526938631285797262409055933439733380825511174385930583929721415252492154950462900515144974668830125849581369693908978294024124260656473276183146874528360310938758027562606255565566089990559540735614971078784440128207177503100989101691573324778929722384525847158974420210727198978841231258185482042338240247632515386574288891020626337671850509590677198684414710690436464816484808231176666466616510356231310913747618697086072129657910743382672627855579353848721580873852299409141910852525071850955335616261784112906142676789943131233243284652894098772492043038727150070921083594350106923129414086575166296631312957723513817655215585237695859780915152901614969968873181877799007881925168022327643267383459718042680581931737891355264109621953651937541521015892477587090329391682495881214007248413723228073153536310886395871087477564600236833284154872758748175821365941884523885882773932058559438217877932669572848120166501307750538982611702306613444871472811422115036071456693533658477872343442278022959272780363588452072219097695538911033209147084571134518638104726639591960738046847761160389316712554674870533091865096918938174108474482501979010932832793396711158309052047566874315582281164434226441926634177110063419181332035327010524044018783109540338461799717500382495057387505487294875889215714185288102946655600544839121529785643713099185726428313258286556036850685856888054763134880034779552961525310019437619408976883626063155994446193332345582506601227247151329562598366113658968801277900738127135154446657978592607818289525695566954682847692985512234008339804287060137496429937152358100597913475241009534834840385092075153923244320368642331058676497955611209011375416568546283977797250232202745899928505117248128658666130626674088998728720003517272129241910633091289045739355036171192717570854458832922690292374334225650080991920703135594064326587132740137318284655494598434841394200419750347320507502803535447254197374315186568134282085289431018455156925327831152948371305275776710863796209788451243904665579960494074008043664502921442464734722185360870379049329451389410678053850364086725971216126293922863203683649692801387111901851449576020534906899884957996861785080837840732267494728761645036178326818000947307791073500392555864779915808262554289505371276913303918213153758848199163469020167054530227070155563544065203897917375776567867877951478583553813423964060591243599054729961750262555103680180068957659728673534155513724951640888601408248177511721016370678913026293005019883879458779020960306299207077631382554046739204498808214000739328000425925331660721214024275157045050291389285589191508977881385260983354151789210142089235099054369638624486788064862588011284736903477386016635630009809530634527963318271394714734439007648240121934574570170538771350439438831405799142594976673809608748043647371185185429840896583974226088899944783826626181639726496682743121602059100173217588644261996071944136638376646472007471617889678735084210358528628645021878833805981780716685856754645090932214742753001583682075295256513128539544743050006416414324712508800040235061167705054489315361235358380501971005278979405265531970874737112537658400193617839004840419349993009229977696184399512708905476516588928587916113674726499

Errors (if any) and Timing Info:
Timing:
real	0m10.158s
user	0m9.910s
sys	0m0.250s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 02:29:30 2004

Input: bernfrac(3504)

Output: -99451614052831803791329186652336280039547368772838111846880078889475190194042903148647592971308184264482271578381422397991945276156901179634698997196194185610896224691672253336568002155464754342514610521420697890532653882023116884343691058701052716566283457381658390459439353847174732821638876455607793236735016158257978636820857149889083922636320622625812460705280651196089240677173883682576076488965772099194647270581629637804523785108802257293497288443136979097997307001863434589446997224020339565692487014676422478497393765578226484919599339586926381308022063722598994273028023014818343816754471627733492867018712777515302263211521266300733607929207148460083091645167955441255544534899620640407172792137306635092864831013781238859590296815750573684159653221462365481859475077196572112704698179070516018489503462920501643782616247012978576233025926654504454552218344880295415369789724588211257750441184618866640318045200405420780707142144703698506037877753120425603570883745791821247042182600525935992005887458691395350467062303611494131990791726299273019190072113925608105937401155200596737498127798229301782510722808226258215020249058993049395773262687394999714025156257995265411093362042377137308343137205293669482495178923901263542540125239639847056878707138851302426853410794778422401818294147151943578864693062863105205029254142165264862808342396286761909294489654536912901776238089913738361262927786244164910200265286210926268930972776442644862608821092504474860578777543352588523128040889502082857694781319212850493362865104905627348152371568906566588857479680461591296144946597202557370112472667650083861919221506238135434351069649447786461210811257693412855531393604788078801673140020570644637125280348418653190668913133244062416188461733849987134002011102542853373803641165775116911450490691304110182377526422287454516065848220807731759634392400046840208569018428091902985461611513521879793668559882228970247540219369898252584493908210296932481331743102749548850217787434431878311832792524878705934619838851050682864437884618261290811595220177486454778224829073634853764370236772396751928424135074909321044716763407064427462766850323348379193897104387866587340368030806106993004582777866174609955515596017823623750962541686183284906351155869868182403186836122530676674987625887734208870652934025438533273496998406145121335751068666242106327571262126887374742779266068581932210533207350269270351620474974924919370815989303944753916335694258927710766953761199955311835905755140130480330260513894226667567999517059911267001764514130292116538091770684909209269394379474658957223873109858526786102595467771957075763839822182246280598101822218608899522938262692673474092933063265561497028866687506311524477807889025005534144069775836646997142563364194104165084502577503140998313634586860205989268769909537218957233444395924880333962002004641211918907141816768300243796431541296243607712916282442545087602387987899791741596265463872578615021001232623001594755500784880326265592656297495420353419841770087933363740519448098387663461976196659429394976366403508581360043279567548604908421480059836837924393676022777477136611629628926870773431886414403193538767514662049073356212680353979671800896295168369309754147843033592902950246530701372249733847698248812538812516946758945496265070068503987577807416427767629517746364984837287595140715921419587405035034746254638595746059718960217759793694157886076795854575836301081980189911373818788809858222916680524785982697581750651311212560425177632874502281855491830675505523372537342737627177304852077240838984045964995814102056013933127853874790039690592263563307843454505096467308731404424476764143116902880011561897912524203084619987877976278575388814893835725947804849049687282461618092779965977892266566955526593812861893507926965454053029964166404389490114657954335482930737791643956794024416657691663701291448180680315830093816776293393550710666910604227295269654079004781760524446883337224300716805955809053919236296590625330628553407659506048994360878256288236641420743629353298122871279253182758007572241091745337016041023465445229772421501612273936127191831385208469844466631089497676520509799549288083553753093914551724765978773570158704977795550765164643641948766222474865805362408373168583542208641187973415620036807808315215032977075241052345142551202749413422818638682620313816927443869870780002280216486581338373236939631005892979670348739401840661386488281533527131253574106902788711064205434748544442816230944675279732698579782847305151453933205373676542736152920597924160427258070905375472493328944039694774704058121352252617912704113005502936730888222494469383589817108474202959443722276373467475460309879081280595869461249432261902531251587866693617235729517912468591700706595982142614083916048232389992078993032408762553288564269563330027645960757656076831959100604869932072900347764051909673745209788399775526243864773877614983320443808129549078669598591981430702465737340333052652273902206859439939810098384586741617344304646297103235691897964339837944622257962074536610599258558062283117107730684106961783262233921455335312430506145429828653158034663262844957632191793094743390212963561570689771523941963033491961656164883280941611891632947054854127452481667836565772756589091793003411388464272619481873664629226749863651052096174359602762996270205314147724022606841404933351380586252873504125802190093917135751346757057892259480121720247441378080541803276619600700472997165093451492580392574765863004389936672183659853151587254365590095247343128751966419307672964253219557691621955157862688752464647864077258213950788338570406293100693511061879355884430159426052293753005750215505288112791552230128226118236307160833952832986125850740992418259380777219299224598395384529067299789124764934528448307256933131377671947562767793351374139511151525883274777528519104073869986558661865055867881540178047988918734114727754207662294151009486239487280654120735626555134107263956248084821146249541552166301396416562990347905314175633402653146166010077301870847123332537460102846540379585327484228483501633018570697837751723197637490940279306117697293185959447211978245325283982985517086473467167706578617991102440214184586344432446916414066393718647912821219184821977312322613635393552764521366832561451353681467379526620248751068630693544263335301446626517294337534667365091433721625652559111012282698023924266181975627356829906941230965392966014465083417275191882144362289371641688826830949454088313037067685171322426255666698345597976118578911137003675144871032432433632282282442688157680642752964202753621013789422568680664123176274740849412822226493324832308893402021669566394717960871678601324375853974608681454976280300904099769665205434013740849786150125149715586732259418598125300520662911208893335781298687553633706382501073297716376182841052120461074694702942574359943384779865561745974666202158876634320887105590720981401779310749959561352615786533918134560285253965515362939198775722312665886451869345587895407458006057568796810764991379267036629452839942688991639170081219755071053758190380119345841390760273472512078796509672039731028309523763650884065689266087675765627703322183465661985643146943261798287764886725817252021675281801403330067237911055959357447388780949611915506707613920172713024210320112551542013199901701551561002322751161211223923812558232795675553506857285506726065788480501840562725145354230532184693381180570629018447910124432900590543988302078372053636772583332586240050548513563295922801459329798803210094192961080609889078852729882454334168427471951086742952314155912267778334367065529185439798505793815121429697868828098307993954612869089080699517932659249138459570193058746856080373299226622414672184665769328825450490209149732931664583167253486946647534198286556348831700767313412552583352732690234732278305093398569168421581144311700635647613313290400224573467666366500383927601170437696935206549839794628785246986980234220992935312542834353425330574974483890536233848452107495022495588939689781679161699984687873671227000475238306422876740054967356621194841250647998736157220929274646185736715770936328449189/9177517440215670

Errors (if any) and Timing Info:
Timing:
real	0m10.341s
user	0m10.180s
sys	0m0.160s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 02:47:31 2004

Input: -9177517440215670*bernfrac(3504)/(73*11483)

Output: 118640675558308116932033162366686525333515499115235400809153351040042743584074734835710195740586363241530686313396482946191982759692292214738760928539024556385193865728458928966546141652478236848652517326292587243957600075899115767732515915368701936473432981192755926819084977133767406996690612872164561593415658117906254077583249508671047877370025997485040376190748505170942680814848255351360470318798571920128083647872113079375853745809829965790402833066077404594519482644222650266143276987208415973693675838465703891634201082932872161133491366733821386120545158146347363133623406387307912968133323504708560083481015745151918754479846045554814929430172713278453427455199354186779437542453609970673947780026586812778466835445585718566207218551486561652376715575332165216072210470983994341491947213296267643400790761471695077276374303184312457406393401865657815248292407096488573781837981564422520665380490539161094981437957010208993529615721040511949216027210110986704074616253200766406375812965355499901588754142444513390810074575532734073825382997736109029774893098583621656239182824402239328773240487998699426443047802918022013506862507880081688085976634184660962811203050602815372209975726329377087920484248058976381399041255627751736086490260933490790887669728390989451772555731317435782757231532440383674812549656923582335566041214189486617869110139332547469570251741450927340805452837265974312548899309454673209831645453506525153837862494101041399625677854343913826846806945529470632737663287244256080393746227851833971794952520528413471435882667417309672616076511509678149766297286641190097705449828334779420106699130266582803585848346928319840539512558401893514452446803181449649419976428014068011348855602407672557847769165907031616944717245922784168141363352547188128971643806717395114696639930265121140813908854289013915825357342787529581709701178331327440050173547903336540927817671533356389455478416848456440718464543653277309869513134123143898641998597986480133488322146773107490444829730284680432443718291185281475579605609079402441960325123245267606103637507780833566201182179250985588492500617242786590679925186683861983905750279267361512249918447480536851221437295760609793134076539798093376290139465038399529217749748208232665979316499874361507823758674264966645139063091161811409901872840540373886229671743631886249656810921495750510965300851988913620705851137395401911024167172996973908565819126218650048273850091612203288405724554019355314948913402606249185401833013579908274483797840794632169770341934785390913505866480756086768041584623498476329385523417772976161154380517867134265895704993274245506269329863736960292823366308752902769833980539038022965375931860631972968815947703885701767362937976216818601494020149675693482042380927737328301279887842708516477168258092315130847112777240946959392555756544075678235488082610758630574967661269727189086465568871009565913299209960817703839013941872132290373578409384902058935247021055546787753547274625534906982992485014083181236159432929361168493889654746787882339439477129895885372380616860160594808143506420575154482659965281420091396186647298122819572029204490343406312233348408061874393850423376394832877046776687958973176900180456529251875426370122960743930611781528441369371158852827752296744737317398914017111738142969628488827949079734924106230872364373773667465450916229238260531346820778059938586664694584561327339352021364275068416606682519340907656671528476055560659553527638577077845369689620166574484049891063352140903772571282474158372737468184341148949554794016217945747133004233553235999868695865900485160361762405489906231658060939514478590425398861779908289820810608668158526079080812833050391201259131814139561751005030602480676079454300474695878934751643456576746513340857435305667470229327038603856283280471059052291306093147205017468099530045957185567536634457490216565740040149679387655576967731394128386227412085399941610026262505693973398297348700462168382273031430523544986204294055451302530195925184214378704262391738879535732547283474585863413638484952750369803475710176706770847035874627975866052869428107693674426859966275154178638212649880908537575557540191699406858637427960530073370605217128569804261887035681861988676796163078243552897580781815097969292531274242948822270692369798633807779267568072806317859694215538179296234958782210423561059136591438064150204866680075295272261921307113517837254836322260049087789732680628843321821659879239070747149447300229184811549503530212856145633804474692730925889699575599827920631449139419233504287941287206571392545787990077892462975467310959873623919344144156795081499267492962902655513957145654796097955850718543386125146382300214932927948798953429108726047518360813585931696423740862550484511329007638550753464302071307410947013284393669842571650961492841288862699542834412704308101517469031528856551557346445126398629063064668848010905791187429327264971959202440617516295060871046377953997908823707558048534950939912139444234522673323333605301341355399335883019854052201792355300777607649424889632037691354471268049739951236148056771779766530905729786891436481037524993185691961114872364143711418801305517233563578230525366305034555735357309949480544666544525086941061715390670230281777775829536924749285588898267265226944971219189713279130975147507345107852103311989867269810431628937362955066847580822721264103102012735821668185306399403874291215628726023152006814769424815742629307258254507369979317347493524991515753949479423643122057921939704036091584161152017159334309930072882311099025112312489526342918778640787470313182696458717817011694825943644519249873077276152310235920274942476907752264262134723936432687541819695711183338267567644517805047118394505016680070597780159109994081861691659886461027592245722690639923195184242057368657361715340379466878236052076420914185322042455325456529611811959716720068605190918456858505793152586671911051643331333936314117267521296052012511942114335958515854350703423877842722822359086289769192341094036766691532452226396762018108317480452390465936336483388169410209754468127199053900044780301720923134875613972753002887188778462653289714736754495297356983589294738250472038134018944436543415479480764768071261880661250502317275820865166536110620660823643805269554342609464830710580201048922386390774525934468280837446772820255633837622302559979257674669776623571025093993839583741250412947479515239792195508148535735703633223316853489639409405478296027187406652403454881094414048946288317030414199094288174820674368118768820176620390932017959470948335350712565212844265333016910726494632474183128055707618793507130045525677497530025528585311601737496022829846593778264961881059405601730377007308797406808651909314169188908380006163646628808754961533989689238300922907814051131635489396931617880986325677604226202307951450201790786110688872275489873131986623067813359446942199114003656054967977414272617364754034988931265776012616965942465891046728038441248245072091623077528052660821366673137501412822009654986426673175537441223642086323165132995595718093999814353462767284801905226752724490636557045065702877403670898434593682488665302341836625319050774838876750077418725312580345412201629588530539696301264171729820065052753336805745466235315829493637059207142628606461976930891945737550327406805714655019895701878788326667309934319578645208112119625923164637407389007264536050487205303530513473021083663436978842947256674727727998134588567939089991008248444199513575814293151992311208659053823225530646486302062500836947593440550539074639732435859426195188258230346787542196823494324767690890889085372326965410295419552081151475394680032162731945535519748834739108310270151416304952644978010870950606752530338267111346504063461211468750311363775332740279792148436639310404979026067781656209754610728584218368181431477822989769443944772004413448961824925499843685145481886128186635837417429380664627328540020190951707026389482239898781334688149396941249631061390973713194194285411814839553097180921026987720960571701194054582742610942945887536018065247878274902208801812728711795434674302555339955516059271

Errors (if any) and Timing Info:
Timing:
real	0m10.384s
user	0m10.170s
sys	0m0.220s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 02:48:54 2004

Input: bernfrac(3506)

Output: 20238488072326679199218802324002524563137496593002111208708231699287891098578434932198883219587690533727792989521244629138810028638799747013962676013451208275334156626038771944650682931857762308877604627516747187012703195091538637257970592252363924039763556364574340504340818577910622945740122562700630723301958416056611907907735733249937501640516196914540537738660294789749298701568819931848519638512193013564150638667962360184149848500015600276884528690712200703952986115011841208421682752031049981861302959175278747791518952877869318610033536103382716439505258991214216981976327006758801751940715855102521972035102768168746323980089480105143072493771748119394538369823604640608770590755371066359296242240555742698319497033162791764615897093959328951045529111580022940781576427977433043367947956973675875306697938673768561375443086675663155289026382896837553913282334524180573096745771741541019712121452363812933547673915053562802203215151836369337665965711876179517936703498360231719040723296109742604754153558797369123850685080450740008541675535786777825310186898452193802650584474717168041040041844936238569176834143118965328047170182596376642334094835771839602222893269499755873813066069859396761167880829368766096400805700297465352757249455831414730424552287003952734387376187742045658370915083700700941227428773755717347288002626302036550726722465262948782172756642901215216946440782061102704501417450041460617086317583785649199429576117973218360376651451558488322468278099844852614991766777419662823381701940801857837889120849558707237772796919180614489774493081492504660257958475581067946086571488324752642739460310021298582369958175491789253783917178751471261602657755656428261552497440433429533787245029749885251444221940242105963212737964133020009915860283239907138191033019493554950558007808894110872781302817334391989998697509288719304442503095586464156351501803926162929665473657362293321549127404337208794604092128239374605009842047706026338648092241721032283241004762212296751312150057216197353040617586377434732797046937450482694309160116487025102532227978760489233396797439819457925557177922973621821766901911995404244572526701760090449993118831706922604777043845201618556408462354112038249518853523123613002441921512753346387324021102197517317396576690898871427802838364405752438329242982706371275006144491426569328457140903011898082168821770241676888266006470160458550041974479509327698549584869127652390418038363085904024273274628128448283330060411789501509227159554838790293116777534273002566426192503765635764563513161226929922671164746015012556072912253954112666101482646411509849549495839064805175863159671391023524863619697337561688311002242486351746956083432831345983714452484778730124910146241255169211250859445481832987392062461935811079848803033875245424024429201213405360025772016171835858577443071394652502212919084294181468519627013840633782632506175956565221062180182833604117087781333743508968293767748233304737107506167764613096709173741342883525764054219210127214456919414624020182270558592156909419271882760640988887216320324056268227496458798942830223088261130774223286071727346530942247158806286665172544411829376254210964114929779001468339200018729259865032424071586386165663619058532848167817181565451524892454908226511310378895021837144758547094561206976981450842479914056864535194823552662158799926223654226928063512865284570563620645124554156913305415026417980594610809760736244368673945313791208783390937903789174199258113859773583550459381043913197712733152484368881904963598005360789887802210782888711072521696385546998711195790128323485572853842532074295244930888162096266447674335467921633542787673585788255209434868410657872039127493014706745316411022793995277825257172143700482653620832519071236802248149745745275848921300374704579884119561561696140481109168590206854200361874855344476366633145266654941635616910796148717525065699356463422075356170723339565406014789480137793628084024155563993555942341360604047943983150001922771113853283168706359046867468801994025777620012469459922804418564968354882586226110264108942002086288008219136808757600195712515495132043690008958990365531289078676927845109859248715045911774060856895602308103256327335765676759832707962805350406030732805840097116515914029452917520162022591742992417321824191148531573769348025921471202004030827107851514919917105889875163460635110366991319742497073335426043177991903977351247421207836883880472357339220062630263697299332296406582063317286646071257567549501251999007574032185850461141892133902013762856179089911931994396702555876850938342265616711514370387628735234522945036488347099064488596842179203265916085673117206149086428555565363994036917570580229893262524096250864517899722994780160844523600032721992314002177247729633975683350424591302046225341163341670998856033402907625232140259745719495045469942362454647841906060804587178255843496977410511576909689423877447210959086875525322111941853623422594160151028843037203868496483113737333686677452672366436881910674436502554736258951823330400701543621903907735590486655184565679222934161135659040851585127634091684483233867326231349950825912246290032270013128215019068067049009735192875944876475682527076364653386953218747940157608572304056583272801055928530686246190276334972536125532912543764699452421828801306577421283763234720447198817428967147790812423063229834364436511034074399990671730436208414846543617709218347803798567254540964389059064176012864039551861009290656731439351332695022858092940352024050683020890399471048563532258433724965355593054490644212444143913786575544726677275165525750817178295411409121204713532960251434951911512507493939970488045901613787608202624761407014490819424572388656873120554946480637656964877811366144179920990578703708976323648119061497163752200968088677391635008428355922239415524384989096184969494487584987399452426771954235845589939498100245754313802204354472589628319014612738006716116716054081245648475609346305652847910795991442041549058231085992530348308440476137276032195408118186913453519660915222836346051310278453884353941092097375557920828610292526813204782090208827197360216788834857741463427388325993136887071695839907323897512318529460876935501967496016648570582293131632513863727895321715178676424747721960919222054504593602867787348065666345245382789501301232126905973387960078821880014406330646220968903907490482887337314021593652411124576624238924400796737533825784475799316574057094751780151521950772368330367332896419094724431835973061750689835894682079802825848219137248587016877474047762360481498608668536809546160747698876033038104039581323887457195158316052073321356799154772107769630365894792666179868069273910243907185405536289838452108156276274285447912051061765088911179394054296212324627036591744693150813249241786363810313050837860102736594076002353852815664991507020844554525178095268532972104360986391359778416924541084990457362719685526148086093188194190250343597592251315535481461156033660441089381110969674026655159078531582130086749469243954032327627265659975907797623518242496451885058637560559249950833694023104276094440134193674548672048269193999312628171673559327863279206355971690041687687385875344443618137085991116601463782122754107618366702048745749129896583361976800131773943104465369951408138943976768164275063417634213568770694872529630782652094340382817743840365538291427043085913742928842238466897387390457674175391411106522297868507607980196291679038079100576913120139488289673852198137120410615596399006331564428997547240442740532659391686182500128945481659568804720226495420376665555892090167431997459008531126604366149019063119145589365289730751172787944980882333446283755901971232503434705770064977814612278021619796078339561078393293800016375103204052256507735633198878459980919192164284261362782500925421658523289910420597964950626280915470184635779773803071756386731039283029295905439550452151996507655931932590902683715382288896024646139302916566654142835105149482058683842667478834187178306033275542892597967413451651538140580754323636025891207165022508960928115051412470904609630031196472290609652261466061901493301850143/6

Errors (if any) and Timing Info:
Timing:
real	0m10.269s
user	0m9.810s
sys	0m0.360s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 02:52:05 2004

Input: 6*bernfrac(3506)/(263*1753)

Output: 43897561968351222346089598328997166320284176811510764184175810938527740817107522210049221908748913939445020897410511104567748126815301410540025195294652314175881338945379397284504527668717315257229008017796210704544958658793591512340540805121397374278018901577901957327559747825911957439045552681444803418587057528878493810518710419834195158415049913162531885022005285430840555140820667951840342440687649013563170661631580756040486484874415397128842741483284929699988474109591251951400386414231876222751877735235584728822331631115522371448041350305251218312345070571500929383363071251583492398562195074825604714644754062386796613692311236370769224498950735446230228613682583557158441239798305710274610699399737858832592247148642070984484820360011471808340572297744926005786010354823416334340365906080995046637481728603802631394400661713354304709637108567469463349699991810195174587715511576116163084080636049906696716923980516968851232141211126107200618528393207905443870699655257433143488345446067995559495299874408388712995397527000405624126539264111664794757464983335886557646065679296476092131125230048300836104611850882388101759656303688791278685956797086232622886335580069703157028073698449364936953014450770468651026931995552361845217540068912640211401968785729521221387726825153719443194426249624654185930970641866994651836401315945151171000115966898567761453492313884975494364773440123509517636072978731648769597187187603758466050759519201669187154777473399188186830784597061967892069362412766952087310839084766923921596916637331564656727081481567968197429052816556743920271296952277503521581843376210586615751509763862273218469496453644462298816189473670277919227349000098534530815174942756316784018803246037504964751836482905146773294098686082999507451344210012400552211489742719281775637218996427874589310888704284001982475880585565905063221339399891254658177511672388155730134486794744681733105284811777764559189335670603516416203058846878520772967346020013561289264042222485075560445320368160171597284866543562333626433006616469501916994354309477126886298616773766404216122274774627434827763330050112076899713260509404636580793656722663571736866336322321804890208949449399331849167776162346435441511137936538151875311896635107542718347083657125573579234244154830440435197105590645807487716316803364512058646111264831325177386600489355343218618862547944266945455821460137772618025751573097563760440190242317141045373685009480551589503869798712144272675544610736838985914769802204998477605533445701996070671228472570944680522717516797776159221160782526017443367941223961774743788448800234925569310830188042237589147902176152176984731486267620660482759597870215647151230337201042310918847326331999527425901379799225595256043110117542839081709058153292478683687937536467078542215363995699724665431280252151848018448424257806069556399608458924692853575569558845637316219465546204475588967918511955830454880783043828198847155593666117844124049171909024210742928849275967724044525634966261264696602498735733897093891316335834732895203839069234899622843881589315151706247104472599563644481835876735424304823946231297010116625288287249392230184061166743401239623827439764246276779228501840115548628362430046407491815353002345068025007787739269112710439304508534807022880574408582673254456145742510830629252436468204501560222785192052732905944300215227049149562801781549111127528374295695820559706267757379767893303465095943453688980305806631089642966840493318912529872252853989487616110379377260347069302963267543447730030129316365431581239089775642671653342877714707857231445329973327319039239791634210838753689159195746291171610040871906254511192736959800439590600053080193058489660759166396792945486163378424075126277170657262445980750156140374779898762892674695462423731407928362068201522422485909237978978365939107888649019593735815480133495550141388509238472555938922880058642465002039645606387614855589255549921238319595704537263797625701822061388741620435544823760945974448698012898488759187113170039831827193838292355874281361053110405746330757758259635538299367485804906350952541450072978018162227343117805671448598416904619953359537577319617751893106465557275755186876398966803952237805644988455874585025020456036762195476081451929042943119600554751382403100372023455334995843153342275486511816725270539001748459135810462709458180056705529543293228970476993263201888399990408602968463299736944613876231469512031171376093194423242500812938616000085279741293190505721966040295938104095384958431848806483039183265977186700235580790333131692884716587833875801432658656578700779620020264977662385063083740179457360828917436303839096295988298357467710031828097052348219088254775111268452887639696207312168341855774725348685733728196534734041436047656886620057286481287321335425726827879758617823888272428450217325908426500729748161120095787788149819401782182946555448477268901133503725015556625272670805561616505202062349221202892056916753327167264583870591722899118463845081145926661108223895380986719689552995148785030211374534275268665962435248570466322662857449497853438830831305142698303687686564978992993707500333572717861207247575626070824917219010089983591141911383911288122378772627085231271449071710428090862753044874573584200569128156912913085716247242736004328164042150016173420082213789364284685674785493129969028243647637683220648223926900054876031467468991144816049279166641473601590751687502664556337010674099182203760531887778020203781977991737564550630408577912116004682946324279445011297378873443949352127679121485696898622771422345128166438581714704234892963888728310206124004072395090765499126779974161608757546515687179639439631360090494311792474865303309239905676353963431468135357236324500456890154457628484149299682507657961824264679890857320288906994061258219707925445386451872811402473477286059498192993331207928080348616038858964426536050776186405823525969881764914926368499662971497105627171776087509616986096291009645586256350436857253043652555094706609367401187388041810168308783971680619026205670986730645950676373048573097064186669502642098157697750526055475152486443359925708746673798666549659195844900078023108326860252381061729115022540252564246183113898326567368772777387300701015145606290739882629716707088168364291510268909544199223203124346059204321762870661497125813564750101141149460958066933532529585328969756001800328374936634698098478087373087302240230925766531246416407412593623923684378004403897133143471368841019359385726528692259634946055934703577844495192678382060990236127632938559387597597315057532109345950557059235852290239180034416735233154496804117051609081129301659446663657293184884966061589743839987305163783402900488791855257963587213766974271291073182336373699522808726213242343037670767876065255307655889871167191577849385272382761550224282144601631330583409547836903375351180642211094910390140049793888458644475754464849363125783471882396487477741240106785437491265340808816680715603429170007243799389325326227350792731388775069449556398325580407861321727223995189653145291146863145114750053576451653814762473661534347839715400805676459462213202414918637163727717783541860822381711064980155421438194205126000167266980589022019295781090898388311500218267644566646155314695229564319863113427298208923706602183926009334642434954029257552028420117716927072075936621067557274528677710748795097440438311003835656832627335595017799159121674887607356384592825507252269548946863758032375329796074080798198006276250813936199680350247044697829772606350854669957422536803788095082638822803483914325394502183308065981397363365205821208978305564308267078467039208680287725741086938159967912223815993812307643029560991727332860370333142358447069205774518843945523082375033791180912043743876762873552955214617774817881703679083386485001319389271668119106953264866780186024687238549890728889284271047098031394102103185310032332422324211037658208272435482223621048644776912401264652540967478129793919134482478659797082629248357027372722476769673393468964969516145756944696416587674844230012923234371522736481316396294448999521970272062593537426320337

Errors (if any) and Timing Info:
Timing:
real	0m10.272s
user	0m9.970s
sys	0m0.260s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 02:55:30 2004

Input: bernfrac(3508)

Output: -31534335464049762349243687302921544463520773795794912416685216210404801002608830433889872528508375931541751004359497333363865608385182711069154989921384673735451411249420006475595447323756644545153393750547616968840404644843289653211205318545011651806087418432704846953339471138882089232007905685206357427177471643762885015686860251432579636894979289654578587452667251200995418587515890850932423868951231991988015931290604370664689959738816389127143878628676280209556367337804626164907132282761780477261363785509322841426725048378893670687999178621573154667302784587043792637186744343090035367586808640144385706699294822007684596307712930443719785558616341894689776973789847319133456230281292555595109528581616917505683074953994326229405316265455312097679992933439774745774949428754072830594179577808944016779961266059227965327998222064590189981748306716502164437655063937003175438189168226008482456862364300798038843706304388121317406015796484827751239135286123652304582684007562068763074684937091175179093636533169791198394446541825892118256957513594084953417645638039040159143768998693905105930791470606929720729002654490372334354399327286954722394607967672522501796542446733518078164483012702913052981987436758428872852404445860318768091557472126909852768789775148422309857578887605414189636628078080812647918660501298011156591583257378841651468672528885180386998756008534225514515086242507067656462035485020702961931227107793023437474662697975514629974115635858996746885879258042451658998806844824491850492141613023536647328004932961663147257689154316941169736654311122172601021775290173017819249889583191118339552972599238442218167048544594591092858103223862191711233541576338392985418311779613125905841722777670233715754272463790248962199598710192637848638460589173872248504921003931568824997189324339356315201080074413741218359077714123453632430469477674777567347178543458243357233056278917489389450120348485865411364519331018606225300986432784368142493602185966630009017210318077420628927835738112648606996585093965866966565042117900711133030846116120694991813991368664486861205073292827429959797160004666559381536929127222082857973042075284729673114442177733472555320606579190428283312548849630465981025662641874344864126442530273868380269964434831822886514751823958654312537976773599414439566484024504721134979720015396254166555876938884073742253742341201341087970265703599864570425902482766611028539134193475446490649570890883018721472308092423766645341957397048243599827972838613376528389822694148938594612896800848533790233753178666043523392889808602193160530596730232141230132009216444431785290835213637356946110206087814830286827767040441347181062650930087529857480779338158674246860606416638585160216272840841938055305262643609651434292021275893925854351831220371147261327286083691412804352915982251741791983572210294704423147607211472607730015659247999077492141051233674476013992747677370082494691910941203041404152219184667530617857678071747581956881301147304818508898574607841195592500319625381204043504445392624648725109245943808033767017536484613958606678840672237961016913555591819846309112700766575856928561972361792063516161333761195582553693644485979398701968799948562344586706893298616198040134544710661358045883201346826702353052176623371291102572415432098811920719183745466036703045674641989043551141807500401797875372861130255595199803793315973946146234030775989133250845805715974946993174169554786843042338306827008104343438981819022364936965342863408264029512252083033652528969413185956617300747604464755522101945884447498017342410035446017623135460235524568510604868479567598546373533230916085645323496125012891508018128349523293874033829773881370791691669595846370304515682324021275391824901704283339956870717934689030582268497184088891336776814325129727542376067227093103718791395461599754937125649960722166242638825783839660192387389346986574015923550327819887629127502359123457854046351643961909031532896330071073915311264167773532485388678350297830718607817030486740386753198237217528657245459869282048864800088958628052763109753785414127016754721108612955379344331705398179699164501549908337634971727429375928017135418077562253310632915794060363698581414377956555653843108040713830945116912369651452675973280042540602102258577914351978702743613956809417219684285032020251679606609514177066681155560106627919150808122110608392256884634768773491681374340504104623842342835329155642972032258661241752789344604363908475924252087109844301226202147935038097301439055484182315239050340168733176988351020284507780270598792616572485169913850089482063227931486448228610255585505137710171053937748294905410856419573717203815292617472972368126887939444062361750160446955980158973529559739103210526637744825651103690728943049668754898719209385651232613780056067356580461909225253118461554080199347304203306574518615880621133880360231714298420182177652867518683018196699254467377144689841076196789600086706556515033921490225335916694720918018785642544968718253798986990295623695995648248183359861046931165167258425268101549030401256389826837368389995562521727523174518886639390501149719717080912590779146860939291831800287734223233604382079627738899393903277274354747822405957699104057638842886587612934710587182275409055936383470947327411133460611395833612513577283825639951555910216668100894584767454325985816520854643862655208124753136965661760187665329796305589463786025263714839429511542987473558867373226075860672653589883042030327782600978379267949147202410376375054956526168664281432346972861317938963232467007962123252035906146158947808372816334352654284548710154425829863178857175865722466702461323027640306620250153882519122360824035940199738722636936256538176931866459965504745985627322936154409238955358115351579802080920362836789949728686802033499588789473992086733934874272212255527216277718081382397584994179233826386685383820611935311645898976617535540673032328864663765331908711115559791077702624109797382983941042712383093084581532607397229857710790157875174634443686742768271822527903934748059225044468642618485727597949281976468012905702402801337596670748308738821593378911483858510195323040165205127407569363424306188606429910334728486831115160597759234008829370391204198181189767276647974561894185496005896852550465450034847900833704209580289728729093918568631892311971090529981743664200785923213096812008435111363469536000586220568340078448446386348252925145036548715801508305686431441579795137687575534654754581728817060799791568303251989466316945007698894630842266603405894548822226675958508485158639427851583775223937274466401298067049222363886825601193837124218489155956001823048981689324232813727804980325020422655280116815622807755887360904743145423531295054728705469655590616761002626080165854473809245944596971717382809864336651197887457299515861120749918808017835297537218134461310735325012519774187911212117557088509971651389357482803883482407657643545188436194068325937943119975141476444676347612902406011483902829032522429541686957051465122264953632914032370315850775924850276403588578552794443726063917606201407164507991578447966391460262359083148663989183779865389231620933291650515640398657752570572757458109637399458128656051070992124819264623211722246500166001335988954113805555222220628342862665227266485647967854984618605711649898370589219215230638579423430673429983254077904502087984784978916948678040390370516594669431918326022752448942521983967285170115188486035736602928492423839442748431568926894686064516352858733621578129251933134019165333753725369437824377058343486402381156946569038338075099751255107971351480272450406026589197962920416441059684749597426443462451716779849957113553173664417007565256866351006511972060286972262856648044854354390319028063994030046875398849174781235764057543566752967485699939638258907825777568430596070489346727258386071405800658874805331742510341163430441366872239163347480241766957645696931109263896109480834946253330254696991219694943617315217424079252938622544837501702340083845612108605210603797788650364625056650689924669160592337041319133602301484242481073124229393048924172058755460860830736465575001/30

Errors (if any) and Timing Info:
Timing:
real	0m10.295s
user	0m9.970s
sys	0m0.240s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:10:44 2004

Input: 6*bernfrac(3506)/(263*1753*4617709)

Output: 9506350869738916494324263033681240268774878800615362333177731844628524841454392689112549515083976478259028643297035630562200460621338722414085685194682539366573627516454457672517806485579172541454866042402457734895152262473358869591076615075007406113728453130741230624874748024596603518984317262401074519547909478245271369529502707908661017490502306048850606441853587012702739635784902849408731135003883747018959111895440088589490261269043891056981447181553651323630067228054269325200090870652931187901160020095589550753919666898785170622064177345357019749911713919500109119774128523816354040187936285033466750426402803292021349481379453831059779752026542912563400728301108527444765627240327554264378872596722283459739937520671413245071272434016840777177724342903575345649977154217257158114633448335742907714081101386813814251699416683328097268502001439993179160856604825075632654139858439783919489963667275245516059354104062635573448249166659507387888350780269589409785393504713578344475224715560897310656713074472295398647987027116781422156861609103489369892616659762641291957995984436541170552567351049687374432778646485170048991752469393110583340344053097809459817917408842719010017321078147056243031558387670264334765774975329186366056748068991060331303243401810187957142324651716623858973015893730993916232263800483528661471825382661651301760270291371450163155255628686211169730438501023669858286018668290195152963772118945511392348621257684637379088803013225646784331967345075657191059324529277819820891883634236571408375217372366159205079203016380626886066023826221345676020575777355719799922828263151832784558643639922366961293900601714933162487326393601302706434586718240264713695725508635627923721222633569483257769564189277658417473707998075019345621680406888437654302488472686191740457707273547959516139039663236466824235975152519551375632665332503900669829456917356237850876806397879269077610842262207896720904096743775650742869041519697001429273119206951663972169758255118517767240274423563756745452098983188921958146995970614324531276083943244827009735480683985587705098410223473899032564271600941522495183923566730739546557320247478472926047599864418005744885385685715434179409697787874124472007902173250447759984853232437891326271768891700532359062523029240352831933997051491509639892058335283689825115898655552206771233657315641878519980116232517957919274649281740744732512540650157375391225430238743312115461083625988677846417751703000805003666438186281733861080195785876719056485701772394491742695615612107853630560677928556731521891301678500316378396287254991982981991383346208027740446795193902915404402464983426235170889176054104028747320283255228003139918591059125274225562357076203703487140783405629413905476310897361189083528013166982258666297061494448237977363962085029551378276820876359217962510938705277025805740380881282188386833291045158029082434485487544684082294470810515740696280511189385948496788254449580483335794692110097065610442071875028877749664527358969840822928101085567301251311270661671130184947522476889492088575499579838216679796649046659190443677121247080624678779876824480929854312016692097616421949512445834807095818256940782592899807941232728202567253233677143017780422142885648504057966361184576402001607139927729271598292697614462642244120655013668213096419119625815420928478339625137212610397125547588002871026043819900541833088307274385592630394480846969734968856518480472341087101916947696593623150969559432808028802216175594756537519011998647023246658237508587797050448637910350225962969751834869341410067823181302212251020003636722738275460794873434172390180749630551923296078215598234157784995272971900230090419308163462240364141776618318043199665930308389739398103512078665512699208667358721560821342984730024231155261496107347186278200385187959925144477134860405428026976059716152637624738923596395638884666087867148596860183797853446296768892889278122388299029072277962016345608568583620540415471988733035265934635756816735029862838582673613065087046375557055206010676695799012248955143285627300845128966666868650121912166044017182860607495625679796484169488738127196498719304302925874622528101652116473009788463446957544617680933110388247861653572339570342137292765040455229223290581767483208578226724850440575699339966060008511396742903350235325943074918536821713784002080405988809614617449809698538597923124489482097810838753287175190835918189001055768449140478789671695031978680878507705577809274096687620027703287921789852053930660287375932924488416883606841829397803160740702875198868721419341893106690229431663315878237372692879732712127391111856589373076741933594408794295243807762324881821273672311757269290699837251570263187413420745267255292254634446372724804818521088387062511179471823990342409468955555086155369627412182049284141527383477055444014750263929738696864856597890379872317506751114664556698674011052046264440876537829749053222184770955727626480841734048649864414004253465210534183016491320363376098655399606408334499939469273548756102896216506975942947958667093565756362856660374801196318238731249377306215082565467786663595514354194624975357601078340191477543436814841497638549785182130606738402942084077272684923862727441562270751671032293882755469124101194026979213482900954935931918346522989682555169677468506586754121873917279255749007382225477665146859120663655553852982085894982006763308633094040633389120335127568833741472809255918250949572435639352876477876371205674064344838006152104952602667711630309087541956291531427679586012013609373756363054860516031385135430822549978481042158402552643288853479118351547070721669720958840580897185510987709817939411002174375076491501372605435913199231315768420304086600404688852683511347392590168513786486794490445913256543845501022236537062055860816275182827611684808502755776254285939949287852374022051482934054112190399186882275263888662273041979436886553457951749433835804651824421397196569072691135283099497237918120346313799859813005333088887821797910905039964057510295726367509076834555626221936243000727406312605027422277381313259346278013222075654946220187359681271245097018618252860599606787520791132589347468263344496671631263276880925206106371402596806842217075344673600545357235621734996886959015762298379600872270537244531767636120683032288535116509455851518901932931149353521657850128918489002562207706316913810723412915013686794620037442395649679809238787226688934111356174114175151340997100078069860429304547204867396226004221255322121778342042760750748443545314933960121997777713500989031441261802620099606127052603478707565992636227007815870756523019206451536259995829345093348118442209609393940797495379146637431528310637028643530545527069367859086349307475046841016256410635560363099150085538746090489434493437180137572521604802636512908299847989890706469841343755384019090321160753823021585085203743871774973271333011339312303082430020896320184635255793833582354635189611436643423251835231860802749464977114678252655012545447829387415142178744795212603982966533374303518741435458504021212931967593695217705051672085403121433953836057629381886300257651459243794360995601317390878849997230406329569720608240021499447930808546005663626830755688436794326125441926180324110428908934312516162285142766654008173165136418017376622027505270393269682872882971193814967057674503108778968329870347942817035622815360916081613415621395118797510972436288029220047189549483604227296589553882574442621602624239710600229265377744246394965731694266503227086645065297482497565536215027283559185688854599247987000368345932018345500616878625612259968136974679213936080491054563738650315271119883418614498696207992366737703439586089775159281740649499648057758156360019482772630073472694594305321922880136458088605575378083147988454399100913830576825734684667509232234354334391134925320495550071407106543502574304548916150216055492908302187363914082161159183274142698960119722187695467307441181850407778519817398222753733319809125837032407765246436496403892596257077566704390633865439714140647757705752970624613400981822700983643905754194222502873604697061376872693

Errors (if any) and Timing Info:
Timing:
real	0m10.390s
user	0m10.000s
sys	0m0.200s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:13:09 2004

Input: -bernfrac(3510)

Output: -1028977431014783037972951878241606978636732103840017043879579287589882910993446775428222656021823081635459319978696441581016091719602469562877541891621402727532006988260668172799919279972276846765284344113699840693679060726009983585385944482193409710170271401675202332641303274576214774668624661986544535223039132455375950898741747038126677083163882636303758317852747648032868639474642795970598825968852613489719489958945003853528063329327150366237935057675561217331521928849982585355605819731546556483849048872269654527220650121245966861240747787402492231844425850649502465992708461832895250491860225881659714724103795667340435758602450130072130908412497815519369521622520534611849914154311056303400561526805705049973408473209430203726688351982618739375614577686446076588536718853634611740183420538287402457395264346534797546786858758965169215778415393111004942813588329569977940423806265855154685342880470409875024448785774033460200933818371659916638985566272345320533609083140235032627049671931143656526441703173073980593538002241699694006642069084158211138151582114935403391835559909738029970011733561606594600203392037052943648485475968150309368271498512550001079010861603039756870141042412458441803780918184655502515236858982726701603909475730012826742264690758170318306925563845080990293034308807533601691724282905299278316702693710482409105413357427906138713381542758897418675515402205432081493685908003733385445094948184031905181515843972050083888278814318235280423815613020925237792487326536202415848453124448585715298699994123857204024464264566501346508307671120712265384855885433064115286945302007101187419608587086039903871712148643067326957681282404989347311571385414002199665777514052487493016741955475744727046469166767464236775159203935033935876898701974298148927445977231057542733134440732783492202656571839267491661429238420591330764219151244189370336695547590061349263646700419448362599144803331557259305523304602413894876082992472814393281935603801699997367084330627581985125647631327411073500179913619834759499731703014191099424611899930772246594510554641842512890880569234747440573950752326691727113863108894925164634406864183603663233906592539414168870464363951027495575551917970539991621017943998168563464833175870378680591899243890133819215566077269662942499663768237286003027624158516510556289236398469216137402619652371053143814198613375156659188266779271415212486961130339810070936459786081508412540805933970559235193310048122394958227122414793197640727255954734566912174725691146186899668523278660936532132100148813540774599525555189972252459719140834168291073790244130892699939799433305747691526345619778831038451647426475495558756866157914669956254299022924550607269036942974345033726004129436160011270805798163064276740823533457718128102060192896709234786138146738781618744471219350851049621726095633248691891248194088665602902138866453124110846560884951951918071465041886562441538167731654553000669718407327861550449649899402659408741403922378095584961895343141674501913362126236537410075558445977614552409155294308480859044516612465466739820270007786573779247752770894730821510774881144894916789333083012728531264077595199939507656824211459634076362158378692967199718173084603562013438941662494170925607730433681018408568579418069706757631035516978895427281523859539806155415617480505243342738687636040110636880003115867287644293296386692678047894997283134493762596264725603594758497206955277055106693737783692010406257663672979449237402340948788302799785607933624092892364473515448041777655363086631610052080910510872828795449521060007181309370984240857508304236116452008269224362523078725119296495669819175963545921614305339344245832153508286805897867526647423406776787941320035245942981803085049202628909130757604080670662332168529549126543590042153666980117844212693091187591100488102368323384905835952368583351617775113434707355886607060931520935506783136064586754109413397485009376896760343093422361782924138872693932248149661346396769078051140818608439969380420968069540954413880727926458206729435457639176733683941174955556378325214835809989894808339860283386808028933924321731511317395811662973865672649609575310163347964857311057449636959304597626538724725216348628583434303601978028802131076348269419697093388526414628711649067960074823680855537988941960035931175504321011779667646986386115768812591269421147051111093212073670610423922843464397490897959891558331863278680091751846673268867830246425268370885849822660028740590786739427219865141394702154628599614205225455760782343649252825945857504612223398354478943271794321616727331607929478091971966166045585989019410179561588229864890353376226381164358394045589051998679470247724748772320069690836960049798264204469683994405231315342146962188809630805203655607986167125324860079063921407811091086254686720157452636958052655575135020105161284606384758863566001764741813037642977161844489983754113065312340749411837820155833227720201622535909979347736198903167475856230902256516003371578167775487392894574189742461408812027020145318402745933221275248019607422652239585252355548981246387007610989192403843379028703251039014730320592601506602541289166145272982820481233411527403801562293195953261151054741431198578758896914112708673400887125668270521641286690173363241403839325350500661466733932638089124969329334796407450174251108058063277141776310456564851377303036112398212781468603455603111833874128103249758211785779174446642871080127195173555539492598767012979391098936003624962404628714555102976782019190547864265143385338312943683314397048670236858647386956059310258341199326618939008915276513653860052143278278130039626964777159196694501803208904274791353448658010440903291763209119925213146414787828080084182349541547471638622459355685923541699574331775465165685166903397278047278354855303720095649936330136699349434736906142932093060825990082044761516248302074019124563061514633744198057775117753450820451226361420288304618693232378700251716290221203111731098123953868266633130884327893786203238504709948192042671857371379572838400590516073910495763662488345193969747170038138717795011884217660478037254297586979526103765166067725062574722735285390498304022424171012255883913879573354369577415006832039611611702094609374993565297736449310655276623870745968670207488657225642566126312656762375184922301556925988633907479500840380177806668662447644089611669158239518887187781473386339009124403782258643163107471646062607694911819076973704258035940801439093894380747192602777458337583327289264470487111081000482910711966609719900117556369787191860097176935924832958400207838123263283432170478327476269701971329212480051777029725841059803003645492906352987817980152917980316465821153440986092358204272160215372278058106198695062073493465336551402745756342245923536149541366198403624534456455575510566480400054002772638805388772514634975094561754470973825888275632471624717619064890361925240499858510616032145498658396503152849944605716042280827877679361985715790963559532952525428253491202835179782913083558416852782628156914878308590189893029591095465242035135312881396314415609486431528649490006739153444984021321591609891122053334223552666241649928961382637213888174140809035071162536315086871504730615184805024787786451814060668342447097520148948435242071520996008823142309707474081842404747226114277131140748109416642235751292750249727540563500100551051586266113045982925203759820212171984737397459069899713697444087637669701676634931684725254971410543521221378501672985912801861228916119699571050243238262270119959926818570149361622490605637261606980027651385557578067787297596350595313812499112378976817955916765497729349942338107518067355368374951164714960089572881206592109825211210531045557411308590488547655368025080069044816115757807714899016787769193355022444911017442122005126115998736595419332773511807818173160390518036402640201794164218335747181882974705271424231196236729407208059453672987256232100479439968397024993748245133283216339748713643501011412574138972193596563448697783767770364098397921535677658519248999907686500141814394146828001898123114301337313065732411440996709094803993975882576919370442241574052834385/3137709067050932682

Errors (if any) and Timing Info:
Timing:
real	0m10.472s
user	0m10.230s
sys	0m0.210s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:30:52 2004

Input: bernfrac(3512)

Output: -3072840592815544043566409329670893479707496425280168437237727683113479568090970333808835432169223541788645460567839556745850718833693748905760117562339951833819680808549117106237213056014354119576303258483880468213975567612376090801548855506766704992830392441888054975208157403122831266856758680253516163649019247379760672942101974334501900082382434208888784281325529284749311455858397864229711021949300052774936397052131105400589163343900189227482875561819756572032706911496177541352150948885053290532515412138432371433014842626825096870094449180141935472191815207971916053629089638664720326275081349400911228713780689453413438266025841122868179534559635445380491947329020283280093014879382289904376102559819209902141318239128364767253757254484549910566682645039115784102410077006822045120076025496109685525153892073571264187019833396943560590460772519306456742077460820306706462421697565036005292865227568442658198996924007414530285071795681651395994525056661560450524007203969588615164201796348228874690060457340679595365060057103973804604962452547835379498500546615710169236352845568948188637245699457827975950931290703835886106674659884516700059620909465775014408494939947618172068148376246852068403337358408989734190134682265795880129134600868702813657974267636410836360086790169769524385178938609939241459829741400998755956635033214936947044354768353466165766167368532114921219061071858617060766651563629317569391687350795111600287952502005853731598041164894957361229420097338638651086990649472961991024297199096746878757684445795659326624149161358152525321014486018604867679904398755041838158663453756486941936361525944907126225635722628352902676466030220964516773964795855791947996505073713943173202285300648473205097022455599436880207034923969513040795172831078182380825480789797148455522544626441345857461681768468655757055026037246211919456664483225720843075227714368939251779835591169837255121469009555036859696605823251167558337253374842955870665373012155560052127072230139242029855126094414258015685319950805384789926306681028956289046211812665837453717038545258118026001256206927722243459559623766701502381261305416113890229561701746490554880578897166493121855717779576465099178709373619911492984843076358141751630346433640090591112425031015963734616327498376678171494046737813434501260163617200802753516963362342915767339294121475156882834155150989717470816539853000191286758551131756132421822719636650224326450017857705390634916567378770262191466886452905580000512446021312736232011282619983534332440162120378480946631890128333607719680632903537344470868949923628779226197037144853752940583827892291077344969810174805296951963041774045231258993665170866915012355523155183827193535447425786969412231371467420251092677586859792846876433386605526788437249733142311361276668307377796758082157771953620881777112290718727424597508301631809890876484686011603104306423439025545730276262030380974988412539135750462655177707133307346101208111707373162698713862302094091487182697453956887363434614614338474567638665541575504824079725589836882321335133285340448101988645818530259597717766302506978436712927870449683977735861596735809347036081389105250858210751671215293341605254095211156549969670401479651042510121594969327090306172268448837113178867079619680117423133846443472255672218829944517713570040405403359269357967021196084497107399470507131279542969219521539326746647765722138720597862219178588896383893887051065893943672368753129026949054981363936408106193598103790077433168236478525603316631412433680319943293693378804017591962285947560786524018350636504522184132721908364710388914214910153848483315117518306275201469999439573567439002765991682734095470279644012432305604275437498888029173899630746564938625572444493565895893307362060781534533652138332524952183631866537121489714079337671062839320610226409635206320793062304318516408672955957149323545233085992323984384962777646609334814846520567353424505316487707335065877219917481038966553117270804254666638186125264082799166517061734271170454365011127028885491947042078403722202969870368907180332488616518100414705697546266987593205495979969010820251858880491315735080690337837339419077594144349152377839074418356034430980843159989756232861416179857302762610654793184968353532554707641574794814486477466014687743192490990318406667552056579920335520865151187150956009906038599369571041468717175391295961469902427379074063320234596665860474419156286860050900208213744683391784704240962724753910546539161595397395506357113090536319652195714235635515816771855326142431953246462895601867602478887500526715995182547579767415293912764205903162725463162904208851888350248870383806494144932302662955561408552019671353828873757780151332009702963377210907712629335796333087775154168125775615870516261951076219006654361444257403328636978989667886668447256825287403104967539519808972602679260575731143393774648137284167398197068327050340150728287917599216718174789555332855955053851964529122067734760739466929730416490312223780706992981207005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Errors (if any) and Timing Info:
Timing:
real	0m10.209s
user	0m10.000s
sys	0m0.220s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:34:06 2004

Input: bernfrac(3514)

Output: 96662535406478312057605738349759955618277454014691062701887847830975420624697452942446603020587957323595471946547937203227939342853213779840533579409787500056855490044490119191781524570739066523507119315111862531373744501561363718773531551041180847993811114510487464090512869164813776859000697157632484811638150181835584856982494781381640795975096744687067982668727706497218831538685271691579379569580001216084017356227254651207764875734093574442587023815477675645862741526992295513386222192410859793725791064135335391003142537004839619520222691029722180834695142602385710315587753990864044101630706419324033709371421356324405568108668384840240524736707521138144283999455329309697299690612983408395164296560826594413094804249195012004175514494383663895561296063098468978580665887146775149067150857246017811430730399763091393029687910217279919218711392337877898697783683807778899382940226780165866495710518429598111770704854514420030799090629962393597090817324619426465758037488630301038992899681122194816443538339136349764263448372899265606774034031227495545959026977065985935744453371307998262601075619609182672154109718504789903686128176060009062097081995748477836416174067223471282603007047279297257869750233318899719141171747241513470333542318416183373803105548266541734605400909208472913926148631156978292103257546427062482827367968121240393933060837210136312393707113469974599361745157031805341017630191994157083487730295598028354227977204836377779048777154733466094940814262782873659497516800150467244767742185923826269059584989570283526960293708603388652406122211691387657187773162138690775761179548911146081816704271943539702642701860582993067261974380067025537631985970104172889457127487466860301802053519163596781177634066412941485942452418864928283174134173618750247324092611846781993400295152958692792887055521780930281874334561352116006525170859238378766462009900997067261640668610049283018519029367918664985900510436899499684700745609352309463019958770532375679186499644576809461414575969445450792944265292207052010468434330722043247486785968477183428433212924128333783344427565460256011923325125160613467222114325607073031673306898002631034041138067365299266599546091203642760286826311540859340323262602712353499944042033917055634695019873894723741898514183679893884782430196916463839782949509971043644902286949815172977018930420058314299416716815084371253160534811605205291720455086123930464640370841679706968208439926983538673679789390627522221079109200647623711289240917679263220682867384624279644732545954669894368238194887427972454728407370101927024245194392134948893337488663440771310861880425656846795052910841378235875663117405559169536140792082592512507049447855090674617963426003479050325447943526224565040773460027954668534027425838192177765111150058267466002533624081678203622645130268356252500028188931100388195191364395293754707617972850238547040494515029322477719579327881076188149528952533545090290221157412671723116692129334860148340533116850135092963900762834551095643426954827585316149260316928169239002839081963728684731855451169362389586892212427658285253429330888747718662596801080519313599281842839484411210574067853301061316893589702307155042353341308239724510496357639268459938182943629569234896827981739158122351366920086483013683344844771241276111571116644132319535725942227527369187870662286131931208378994308231834643920851444364376980887795325181394685941414498293962523272440770281572149219316561919832132388858823667749843226535256044208166843956337823243970182952205822053061674483911956098636934073394341389921039830074695615551979603427689778828864329674089819646555739319986809260221566017191572956138427229040825096528214185724740872581535271239294742432528265853868119659964079871617189496061254292504152093353426251908194518529765925659742059506896406937265791308696922871075768487165463530780375119849517674592301487524511751408631756165916422815949452277466974579541470674781163655236275670967933325897496373693350992293084700952672824264713397292926116116467604173113190440250633507685604590767100764490802401885002348789159921100263056829322830776699281330849116172146138993584787568075937535555225962721892774077530498431801473335976003273933883976611746571244540206666343998297466499376274342775983434474335788434020515546228377488872357242817294156316253397014659222940112935324179493041865283015187762199310646546762363340871873631440649006850490724195455590374765492721265101804178961348040510576502324406532183721155252450903872520886748163794584933213350010781327505607194359013998865063745212447511198393087948305923388817380437903025899522162529588652841383841560770381592398284765995357421005936771161367857000999796932998033870536310107203678387036026672012022923254857365672697297322538471508865285612217051292977056847435785860868097749269598793545785350793426857115036801483049644581173226093656474857454249377786320096250114019665980375515652174649073631853716512514126262368105379258089101595194595655691642026339204291158337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Errors (if any) and Timing Info:
Timing:
real	0m10.292s
user	0m10.050s
sys	0m0.210s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:36:12 2004

Input: bernfrac(3516)

Output: -9940136812850767201715910069932928643933048212453568919793348468018386661024015106974576020192201901918205559629126586826704116458634240866130530207306179195643267833995232691574670324006201723289739546673145440670479017906468657119576801602758926746875827407264215562141317248573532603077702726139182791154709264192724024293080277343180585937578655882482994519070559479330420826929297341826811543025050706496482617035206096847806320294370198438710107840969950128403989884971453016896475290760922212183809738797034505009951364061456741121890304146771728554901960339859732313817668084681183096632420272163673625231858593879079058353336013551861725370468923017129787497579348521038529150168542713871732728084867587067832468054336552415029294782519789813116216087308114090144670752777045717835921452445514644348999420011549089668518503300025768390863049422291879866842280324840971632159196148784096956184204198082759921391229539878127307004989900151892321726241022933566975150474966126055435039211242331770218033983698440309566188164993920070180654274352094319533201020433859486632497435797038065004655340441076578310272872721124734255442613481405018063688252821319354118439486473676724801928503873670922380367985453281003642853697091022937838945147935444109031193697485717335272076743574197007454661470742885532557012898257698775748967863490930430647545259850547246046163853738025645158183184421812517630687423863690488535732428820924512559786489552515060983328656514718580063349523673766127871283763602637386842701620756930902827689942252139461217119320823745313379728514217360000065413533757691697243123312585222897374231508900698655890916980958900415299454838936931085600807031260631891065908682487399825642520334755523102008377329252858067769019428382303748306549966750041081743793248093044633038466933926644830492600657857855564856003745990991019751477577916528745446726159239727449668109625774008476432370256835483229511024714930087366661270465623682106469332840627169757776095398243796818042753889326533129626252493686776179529397312916512381786957519572362992339119663172647785703974967488388472874383893963246237912140350854164239472178145025683922517863853511501435911708887935272916851259449089323266998103260173098773329322392458713973976564534657612490425397621035014052628273213856851519754141566785449831104367746561922069436177601903405589346371389669373750853555030808176818028813699073787850775513712305771337514460181356619863933555329135417179136302726923424243249045646734232192348118728185479293533784807625018262747736031500424384215747321186750176819776560460081447440471135219571915555606849179019176923056085896744268641807459331392527418697465183671644222741720112996124810962850810399472433155227736364877796821800808755885952230030727561969640821086854032241664636294097884258254016752819395168392286505838181240338237375216358765626777678855339495700604248470244107715694690663064549454123127864393852082943103430626873157280677194072020473740585368638579596705531852963667093055695065359830165893926444560919067646285703998915709502729247840086826869153554368450462429684334379491204658905123274536495374912887580126553927178507261994459629364295463439441461416710182345116768305931487088228360128043612291518341085490213331294974787847552641118906264329915734284591389192396273758909013952505441303273382032236469206914179196922678180434714217170263989082249719933965527391643149981064478592477147168973799758355218864406466589617097422555418195215862047150317448961739736157436482800283380884502503306426891205490020287959720847525966550735403409127437517741935130329907651271273868381509398329116914659016119569804019815782203961247899113893458832162275223744611397672655866329579608665749913840783432329795225917468851497503971086312917676566674058083102149636193382000743107622844072388900609736158942650607369683516956987475777889992262548408283209917345373981041791016776744579347834799876625824507743343532449069414689135798631457858364143548904508925869260244899481663489698673994166869030129442707911404832123643317873498318683531636457708814267589949439946346177413455636780666547737348668876979777972259699460836948346817875459029059106718080894503082233143427999651470898859642164479849981642060416313125967548893762720673996840034775307541056082598443048305225544889451326520141671466947148266924746012846516297642210341906397460568348526056007848478352986446839965660902004802343703310732484109701098484867477674129273147589533339639113259388334752200941897206707844369861370385767651594967803473279244797665472828377061900981610336817949264148974067407705039186003337826878980115531459878660493964351109317483651205808049257063090001919716104721558915780172153313910771295967963415778157921109996637716319617687134250316033177735906039518318668220229797245980194018853811585461586675273511686318190305143520387994115172956879245528684375966446716953227099595706780929698465616402793267926001925412178181639453528017291931550236849683743644269789372275368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Errors (if any) and Timing Info:
Timing:
real	0m10.361s
user	0m10.150s
sys	0m0.180s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:37:08 2004

Input: bernfrac(3518)

Output: 18854417646906690071499413874174393530078700836323940225350591750036987171584213607623827638575677476460053380401800461264832986356990481195109703558292595691902717578741111207564919635645400767997797967506780036994262279108268757691849139404593923571147825416362127342523433873686398403371532914130297581216656707582566056060092408872864280244827234068195248433067361654647465021174703433684509690124267295287022470536382272480013371310145164896633623956495347817071903078279650373549910896724641660468214491947433025461183044689524937419736071048455684403125264916515398441489641263301872528593155429034824054773051206970886088956039898640809135817460595530184856578263424879397488410820345013232042888702723577883235782100861804633793666237508275701431733744274620921724993535411545062357805512852000673703450544707818436215800239658332630173055679781806854187297495953881348189673346882706652316341655539597288751066737844373192397940546504953490438416592563888363329119349721030332134458922638077968033984892890619320955211897795978875299098107800527872767088235206478830401898068000801894392854819185253329583018739079564166333390334419566386865116434151511661518756556286974732253866486876471500414791322911168523297861794599576637915791738653548045982288427256593482808185215075657069152830456498459323461481513369263173173196841140048490013262507816821661215325350570526222634098281000577281001849491870719326957774982097139381678203419114798939538854095229082462884039987152375260360615425011893361941262070845493273278130251566056325581413936340123434802622031868902245038584829662665744685370976601046821477811740689481825746248829573193764403163378436633805602704086318037187993477180770556742992039447675752191637418589604112858573575816868139788175651974893119054341765120555128941211310680453841877377373574961446503056214368973651139284809918883118547669345445061649345253959061449283902480783282468102003300755143251225178573884357074905464961147286016846621137441579549729275952269527375909148222469497343540040024343225062473407292792161263301073972459613585350058093609846682464572605724378252686772570334380412990797622623173813432497183050793940922607899375795842788436918204822360607611716414127107429621354000146204656095892706762440055082953795207677363696248961257078600547467359548260022472114593947680364244643015634200521558316435026107354785646777672455487842477141826228304355666346096643280746785151255453514235651767318808502632078051061208773241723413087212698213014030548215877709295885513298060920603743755496092104865349240287587579812932024195781694885530916238062051799419611523832602945510096223423876507850639584659094692945916050693957930381925036924065530001419927649279387934994026301498611420037929829349820693736029622771038434997251303031734554259725107742846839159776758873433404364124999182748256589132835199274105910589322058194128812397638037255985920691770675274886307777358239962194610046300080567147239829011628405583556785144533222685303551795943924954434500704761903121325245213244357836397953556867115297438955778657127250946726057718020367355097540541258424681510967205093585140212666129850035251408576529949560939202347757392038768635252498547939816377490186921836982250435958994134181458672690826347434611706482578335275884584495855052373439768717415973250147746410468082658428638754177186533527751269565385574790661126289686943741359226243855562566360501778638301813125726958864824194080542498557925399319449592236156302242321381740491548773516257542422907829036325834153950512898618137391773399545356695069572645305311591989234601372356179876773737472731219398152481304263017459709399855300486379399645029135828192730135206154513791005608742285742109732008072789990503733436723353631128297678863808324979733402583211672108822288750014586654352906619900075829545462924492495080248284918157870529321931333630418511601807113727011219445314832194689930765590674570167849939875266450749208430572778931577326931660001237500316493214047602573816460250540261108835963046751262116969057405382655166938634135422524556829415268342574552754327895573925356680752185907540562375212413125647996084219865875321590076637661165960909341721564825775053752245632562524522700024322716134089088474510337394428666100259400765360065159434567057319423521728719714535620798014695599922203042458254480234369950747443969576198029293385086267986002828134235902626738799296648655055211325022014070286694444853708359614012577701476037953153471605224333607380781615777480356029062462036378891051986711636278952027185464713581659048100841364548529733627562015759775087077122269198343330996194472843920758129060818545787844056983650401886170826118595791360884194638909272436460955351190882698958782282215431651752018623908676693835999692729649301948541819248547536835782510224202040076133409417079902485576615504303733657251603287073595065931535163846990604514585198157472264106589115633078607388944782398702361254921815640933066673892237814790114624863965565021608793104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Errors (if any) and Timing Info:
Timing:
real	0m10.407s
user	0m10.180s
sys	0m0.180s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 03:38:33 2004

Input: bernfrac(3520)

Output: -144370759308335222033228103772701261627272186549194807824182305129194079360694383167300031318270243143491439741572496935854665480119021318845199079305818572853996570570683958412013667468720104853809017725212696238229158978035398095430959307212512635466942313567955832068317010912624096226258257605011951515294089389382996570056673401522310312898346314542982574761188876052686912467913367156051982737814859082791596926507147996385271746329583348048607408703967646003934996370966572718865154175708464071898996525493388711636594017177906851321581334760633577612936026226207161915577266405934476377329991426821899329618329864104121551223216822625296057521349986935572766815833337258318023129098802391300418567381795815445910999106130737186277101407618427489269050055976675142487683604939234026347335874658378206597726954357052977927247451347586983371533346336292251093856563383147052265031961019381115407736779235779516443620607407196601423727117514817149860441216540854908468885223017885956943076522877730243382906331906485255923148539563301217586095424483320031599559088540170651382692769184467884125643337266759046246740430246027802408410275345215602084607611890281674754399106278475234249488288964399879978102530681484555947391221221855531524514923189705017070640358636842828388043845318090692755172012366545234891939505210798776741322819560359411019624459632734621842954486575656133489159744705231590461539023739837306729850610936504140319145617649406434423324642661084380951951743832294771405954178298901376836734654401452820064268364207662054342803584907838483324782954467787432016555837535142948308220649720627553169992697215454681787688929070554844781494658740620867032538625154809559586043957635603461592925326394507699591368325331087738191812515063486964036184517865617442525650443910071529774259563691412812359648494258564911416632676833955760928184302118930498760003762792798904212554202352133565210511825584659207779310670115063132579373650928464318307654154473817735303962682521832272880152274634687437561159134062104211491098595145285832831621056904176569640361673035602915577962429720712403685458809061456313006802730241133994873417829605624193481594944599013670678786431495984517912828116751094946857718186510355403637428196746560929312482103779380154709307931078511285366325634067432890199020380832937839391662572479038706402734671412210368351473389393689689563599953871069843160627720773581885689844503732012697347280726284609634768646792331796027337327874306086104881108824599742012064344887560848647976777651258781610212559972958601406592102102518631776871074861625800059558757413034431246663894261689218299151640189936424352088459907403851954072122857322323827319874452697004517941161851448867652328124827574246158467634116602371405094735042670295881313769543527230173539372098664493242225211180421049111686803251536364355142665125281331793028111960361630594336247861914553976015211783476140963716299687568632227062447582532023404662888594420472928680404864971168247897577530088479770862019998947797505515967263837417138986641017631133318110034364912610277974381567008475393274694771446235952213063927355137423190701340426043103618850463894324121006432263368980220952199096778466887878655297361673224161512698510663804794368538349770633709056062831811491394779581623382101570297097911660580356587617292251786252429961160505138657726635955803620581560807182501044650475638022730939274355213033655000584202819226676933017050378224900316372531126251861282554745318588794331794495702226619037908676666105969536450002367507023470876044040943565262666811749743401344113210851243218221543114837599365408610438144096214634184364027480296685924888418816960612370813696072622459782124266657855181873298922416152287249947400908481125072105813641689831413910338068460023329772197280885453032939675111229179252987409555763573581725074218342681919602731415153549889011273597081887932535270860485244621385903376616500407844535533725778087977597424092723045463568357994508186767283132492185445110820314681737198768620955081049384398724933711087236353348736295612327724116319994634375360367698583648001203729717954721035242954727266817007699113328288377727358834562975819410421716469032639813720442560767006789402838036491860411525327196386157184540197978734916751539226540783478960330334090792534262844196901947662889464404119758841857448123781307968719657888224968344047060703254887723788998939708389662070199009638138377659924457023084105452253926887940957516299195822169742109533885719848023819832921924524849625631104816672588251250255553400350761044227942492359429892023483898691641689282808546200170250205137229415423072934980759947307020888378893443148561637990201914546434597446094139453151721406513619990709401598990324947430294354624344707831312121295976733412520880401478231581534465425506318112988246247037798621607854791192212052190476740434852150866311071370340338845125865678572697505737918329656391789038928750034289646446148122133938857369582045036454875137466622216499709735248085621120068523117306883702235847176177611654774294690026233508265918858579144094497769691729107813646581164779190006012506620688887529342192282583583115884367684638192051682927785899584709969725899830014734750244734255893181018688850083010849310434514491099848370644403746620871327928572137333164735800392459053650492994652159710383078951770080519638330100676497528590474206119086971375289894357541107477034978105850928793643895906947283345189327679363107092716540946398250177867878171399960400584500106655013319295155759594057527676429300547017491356357172824854571644339806951542955369984542443253599398228840174024209887973009842670312672201217833466965103236180545471550380585008694326912545770714511511576007386857229200676557850409278215636332589486123187554615408767645152801253981780682880028374637240932085857693045216477893084516698646776265874913139755706859674927251781630188185808021323342034829905141717181719628095599471007238003569245625084104552222599779176028571489601647815353408718108003307437343971816098902086373699700146515319417795612339418151471030635043618398219438016536355837736318672686670799969743958967254545530435680073323460099108610629461092840993687892901698261000450243954970846078242011610678071788756494973592215627346067913305841169546876751851056085343470551139062915741401695255471036021906326358146576092963695793452051069121280984472175071027118397502117339948821542327938949899283765807549774807853243824397076983933841404725507003064954592322730073931412809118068364504337751745239943670974326879463288630683253489193587531242401090030783039509421607086971914947873565419899107120368091650219444809494027509964300391613859986599469487209215451148843549072479645909720629413312068246350288992233902902063206114367801925389485399390273164567297944548771098963744487154857959133576179474286611246666732514039562549104593748406162544394632422229007702182740903688761449326046692590531231700999608828424331384860320657048932732394282741650618785833498813406688726814409626459967164125400795688582833548304351126281426060435559532030769288423030925140394397849926991823828986768298443416662664859426838600502113707249956489618286820796313438120703416195472279439741976473985867247246970576629580909589967402359434657681982059545874757732239427547384310774879669993807685697925176720431294296653670067202136511968232229497750981421705462668002518084178298516045991528997894739723617176409714642841119485699977094150733514048977469918962276255871081255509774660199446679063373659638457309898570131289231154744523993998848722828366203628387686090188219103046065115469738023868313286838439628058256069493187449793624581489990638155013831270765294754630461481906200056889634244823682395827838391723781727805522572042780199926093468459718386283259197877221565194911488760401750241923029650524234762104340041530022294545867104060602782491943280648740718160185653286005530245225572514307632869412625312478481548981855378184985728128803138269682013681374808658649574061723367194551099446562229761926213549702894886784247837613737001157747160729682843846862928664680590655294775698829747586199019954501034486424767214728815687040903757/146424980356710

Errors (if any) and Timing Info:
Timing:
real	0m10.465s
user	0m10.170s
sys	0m0.260s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Apr  3 12:25:25 2004

Input: -9913772671530*bernfrac(3516)/(293)

Output: 339253816138251440331601026277574356448226901448927266887144998908477360444505635050326826627720201430655479850823432997498434008827107196796263829600893487905913577952055723261934140751064905231731725142428172036535120065067189662784191180981533336070847351783761623281273626231178587135757772223180300039409872498045188542425948032190463683876404637627405956282271654584656000919088646478730769386520501928207597851030924807092365880353931687327990028702046079467712965357387474979401887056686764920949137842902201536175814473087260789143013793405178448972763151531048884430637135995944815584724241370773843864568552692118739192946621622930434312985287474987364761009534079216332052906776201838625690378323125838492575701513192915188713132509207843451065395471266692496405145145974256581430766295068759192798615017459013299266843116041835098664267898371736514226698987195937598367208059685464059938027447033541294245434455285942911501876788401088475144240307949951091302063992017954110410894581649548471605255416329020804306763310372698640977961581982741280996621857810903980631311801946691638384141311982135778507606577512789565032171108580376043129291905164483075714658241422413815765477947906857419125187216835529134568385566246516649793349758888877441337668856167827142391697732907747694698343711361280974642078438829309752524500460441311626196083953943592015227435281161284817685432915420222444733359176235170257192233065560563568593395547867408224686984863983569285438550296032973647484087494970559277907905145287744123811943421574725638809533133916222299649437345302389080730837329614051100447894627482010149291177778180841497983514708494894720117912591704132614362014718792897306003709299911256847867588216912051263084550486445667841946055576187841239131398182595258762586800276213127407456209349032246774491490029278346923413097132798328319163057266775725100570858677123803742938895077611210799739599209402158003789239417409125142022882785791198173014772717650844975293358301836068875179313628891915686902815484190313294518679621723972074640188381309317144679851985414600194674913566156603169774194333216595150584994909698438207241574915552352304363954044761141157396207779360850404479844678816493754201476456419753355949569708488531535036332240874146430900942697440752649429119926855000674202783849332758740763404319519524554135754331174252196121890432401834500121332109494089352519238876238493200529478235691854522677821889304432216162297922710483929566645970082738677441830946560825677410195501210897390231563400171271766134335546089569427158611644598982144019677831402097182268639427289143875617981200649118666315907368489565482655544687078243256610834989203810383028727648907717570340029037897592915807345656531224498185044396203272558096588079438975073065566104233182309373252358289565128123438662777992095299880745330417758984210758237500533337122145233429887392636466561232345245552582357151858502495831549278228086795338929244817654630620958089435963842504049098279751042042763265088500194370831393521020270527118120104697825450648427157320912261018432997504066674210527319536849294688719836336481403524728208033273477391813192966797901271740425243323013497045714725645621507929867466495082985907448066898568041375137144746945058475470818252144967666932385879328666066016538955262539121971293823001791994583729466963557558676003896900918862736533607993760077269251953915356108038477530482934507320088480448708838696237486526241106022750498877045138410177311121571575096158667636168469537081324241753613805546187932658402917748132694871018686893056339092266523120734393922700693853503456357469910631720079492044868908399985317543338422600817790030686481005420892910417192648853162889278714320123162653580677159844106818949690016001757593992187246174664729238022460174134799870081296953689679960548545696266543896209646778408521621739146330231327303490189365470416720728511057373439966442892306462383440268826819949069738687114302710398946614287763066838366674024044673237858711430016439026952173173862350478844008283546464328741421273647559669579642717967839891271931397591807042531652336369855995445315267872657917398565606133087400578441870917251161401334700275798447204171779639180875476822486677206978834470363210253116488940871975896338589556206144531580462152084730322288338062305286329396809561149196824134753137363345148345266131133458768136432101308823414880813941240716260984299169314061597349614447465272495211641586514248384782569049405786120806795674381854428402762522088966138033101070661630295276278764623661407672275272110183517471023263151427233763281534951106065018402252673645968565874250220473674419589227000318002854989959319087271777815765178024051930338422531472809348490487916995338422462727682935038829908519374987517075632531663341503055232719051884976015221167031360198347626675313149266610454545744202850525187512463240849121007804927507387259964273962443539480577805408382812382022796109280730791064219776570922091874796936411252004902534805098029876046833975236244726103232266902250787384898374923632595837916220656740271116342398229018117543584859316142117031865786719278479113488944255868768503443110360885456997788857779900065917999125753018068847785043458972879696539250671553906130163792030553781960256410358509936116872217832833338013227322592062947855582801158469924296593037863757884139367470136361425476778191230090314917676604149319127071774906958529473836014915402897294375681167126916949862597832014781650873638547630688410145407593212172655810660645629837817884075293335019755163136639441979822464885203421573486293114479879739152997779902665971840496969853353090453610205638997745554980070277100273409078060471671648851462388082052746496355884898652350882609070056320039353980027895672386776990591007467049674655517808358788753864398367458717913239383213895981438261601532233092732153048249238392050687112664869354908476810827944108760280730829992856040304927432216095796069567102212807973229962406153315471104057051479958844231419663809823681425068600915016365681113230434395768044404039523326357931694704943552391014120056159648711704703435539206394429116743343344850212083765384843050765767824745884790858642224738824133285219148049864821540285636598216545615564172860762826936782292869912448749873155589051227821844930304421717962624095227077625368194008801374066357239931499790692039893202553980673833428866538480200553572580273187500475203036640221740615357982442111697333091484483392670442330975667933155119000742859591102853781492741168993727873480576066470782215740238598012069359518608174247006244438626599794263956386432387964484567461630879217364287524775379358982232731776026032989808136983070532739098806544356499670154766674973368115529542801555689743789149645672038337801153173336795320073998423207252682019208689383163585700445298357631164824498090347326595278329649153215797672590164722322293696800136859632338344813109033548088638298896062770362881956902137784243291027826149852403025697956867699475837898166218495256872999413589909219081536737011381613865801564442763431763315852642417806765512130276947408511465489518616079969976247790733646873478422900072313778470938420586460685677090427921889975507015189927532979311665403823504772437807099286520206746926549565051954852208734512569746140968648588349612946795008571457169909277594008325573612135327421672942366832672748112855954032355159319411044585475274541667609638236548685767166796126859042198702738629366411028235767546014843672596998766704783479358812610666988857670393172835511313015844819996669075105723203178782401124725077849862715998457273037814967584288840960135837727084484639574063847686767371642174825030654948671933792482841995545621562863239247161025919159147286246362375788303150780970684116762474149977337479809208717168755824531153584711849512513803313706351295928181534251620667661342423863526898917382731824805051969563520988885368077866344649361427603430623522330681022084914507376263458568367419754426554724205000498999071728089115769867939770666244861484006150582177455982811019974561163472574491015916186598884842702094147622162740927888274939042135655208709287891503085081470258779607

Errors (if any) and Timing Info:
Timing:
real	0m10.330s
user	0m10.120s
sys	0m0.190s


************** PARI *****************
Host ACB6A2CE.ipt.aol.com. (172.182.162.206)
Time: Sat Apr  3 18:44:03 2004

Input: 5*9

Output: 45

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ACB6A2CE.ipt.aol.com. (172.182.162.206)
Time: Sat Apr  3 18:44:32 2004

Input: 5465464654879879798713213123164*46548797976543213203479879797

Output: 254410810067940999861148257586801473472310447509053676317708

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ACB6A2CE.ipt.aol.com. (172.182.162.206)
Time: Sat Apr  3 18:45:01 2004

Input: sqrt(254410810067940999861148257586801473472310447509053676317708)

Output: 5.043915245798059599480633881 E29

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host user-1121e2u.dsl.mindspring.com. (66.32.184.94)
Time: Sat Apr  3 20:53:15 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Apr  4 10:19:04 2004

Input: -9913772671530*bernfrac(3516)/(293*5392676671)

Output: 62910097681666003285514060495687069618535062631595193385764365791786473757329708642257077501637628114837052104588050685581040652905687101743219611172733980495288918824937969892601807120481988420650062211457990086595926022479531234403612027898183131415639688327192428348217880061212849809989613638970623914754238099591264840811359675190595843508231097808275395541931546777256433240198732930623121607603702359667689012655608702465886421832897551689315813739066663851857875526130810926825152328270705054653023131878065740644107396938217212307816070325863311706188355591669568581601530991536951276774264698128022417936013633500991180219531026085215542303238427362292858111821716376797041779621317452174334220959105196554176222280171804349720326948414564691980843490712349532665898846353114980112028729316851563340949097569030446191726282349152747612275287915502122308993701431564577176039646098312141869932525578917893600788893891751536739198801559502671534122893449094584388084481176556359206742172888849703410163048569877962985102414342893698211479807442499880778893791352043027137258124323896005814167476532200159142010347594375469471229329072522850522905363551413831039724547472765369464049951736269674663976756123884649372924655034731016936459263364739829279052442595037818166958619965025471244008078110359413877435196750239163842593458620748009276687442243205093359366970503335933764057280603875916063308735357920415027276732786816020217021379041882525036514443753412503717775794689948999444488945324821473597282010176675790509663104104675078675699289651742278477395728386028630999827530660061540420118139043164998477094451817699473935976813265705749581349708867819606454209151081681326709696461961543929520633449620746094807832117188260004610622348247928406003149040380370092206256857599970025619251399215261198902219522531864941363382758016335060775435328667737420998229670633224534172873105599772161778767842875955357604127239433585010871660098049145244779829804420856400217389985225774511334375831873773336206533989730888001632738648892746137095484763082195391773350393292029095707472569544787968945560083851835134542408932363458251777241572277521828892892296446218953629569047708414040104397847889533474720994719251128148333514228687294412989354658988815617590536367137734642320283089498617684546655040749198801865902618198992066760932333889270587816016761966524082029714573535589846328326046276786543231172747551482958670752075820944803713098029850431566800427959513157817030530986670538638234295783020976410071065319423314590583644421519884114550247554531900869459651279620004716998661577514989842345395307800592346382101009980905173140046520522840234752660361974038028327533610610514121502024877822976922142148146699304401553475668447557210888564336743447060089014949999620014187431775712622754445765039410795428958859741237102208419090801863040257422680208233353934635076597671515089662150557358559622515609898235131595577686237093009060482319174621639287219161837275502082433497716140613223963153189910835194039073611487084853023598872213643820241733209785911341819452218779338591563938637382608217628199316072945439905324054498985777033024330056620304511359237301665719451335082927676208063632873973561365787082725702205396905900822003588553514124107769573143093021036911720683529731178748640013039235854789854984749087873426772831640418758738310186469106038076443999223767650088381877415459548684391599432585460250902310445136369690039223705295806903966041649099106830463097155833104863792331205633344701895591460389250668353841262242568978046317380086876544033493218257585746271546465112270469640012769777288858348627834579846501897450477167837936195579206644673856603708328028712471437781609644017755102970585117033082145070753494837472631036622971712124131025622630022895878503909157685469120156814338646313131406392387209822489582323995840067179748683692103644464302193004787579900498440784844610681729534907400709073540279217363578963020424386901475858641678616604876965719110035999493548526186648853205551073916458720776202223272746560621614835109538123436269942083349055993689581923079914215015514939124350972592808460184082319034435291451746162209583236981032011597715937266070736558623694738971530484853441042360288972067864009341400460645113319115313891301189061169716527278529713521244670374112468126651410500100676876859310830751479603915629680832631699868304753022201118399109060764476539779803463475154316830209166750637968738842375341328114666937500817649494571079720963691532645576091700874315276610485806858725613307268736881811751674926861779847886185884318698680992183371761557934124577867585308541424032946481652750659201349688950985741710865454773716036113958670994735187480423390641844645913217356265069324574365626634281763909526355444153700320230587592720330555716561526327080318223416683152607761907953955321207227109038828417615902158322617430179555440340243318018033011385304391228609971820821089373780307664170836197735741237977961325470481286862432407432581050059998348587456641208093347376469272169149788916732537443956231632770987318521737146726033495457110099941288652630826061834458709059115546685339761650413521889747440743587659813176128347380029461400105413249775696878462208021725122663819358539432441388513270001300272072665829001142800617078307319669055601498189371035684070041265738975385970710302271972700062920429091365214110869164200837931485714129982089155371673015123604909277374164848562244275859722646006728045228957263477320279266046168013585819643076064149569718435161680353441523184441253852889279814829375570826451738493212391037819723693568321574043402045657421468316626802220079732288158371635741088557554959639606300139718139750213916706911474379933691572523414140983639927166638837186274650844437220603885805971095423153335275933412014108353239932989110861206609420369065685479708644159948014559375511439661261396773036375521420590789732884554027493803629936947835986728881007820387685535394516389590364160931813439857579664572441380786321774380475371979830888183141064822064204939151139839945300274232508754651817703268279017446900709159762342152316430495549887977343517872637361900862946200893191072356472962149177084460724949305016759141359728336018685731468891316148209839946636383913243863968270359376014932776284822012456719768954803265891591224012653968802580919930660291581922880418502411978451965035023736277248167373613247445371092347513326488354929677947253539890836982722688148779423766037456748350404273586960402763129564451685208010402627765196268377526140505747385899509384506588195234380783182651571946317868236229081453762097964878592716118873609984132169887286021200619058612383674009581483919554715780895396976540701148985227106860150134475545891604535257021679717384513074828118876186042204621175072984341946575736108191819615058249891891274363145529354813631698965560434981384093868233473428071510712373805714678559130814668287028619884947290380973368066273786030616233176169537488828931030090659437983296673132398783414825134633319598294785586611298907677968485376548148818621765793143753319778331006759053201655612474967952290706443296325418227558392732437367821673813213059420678166204482891945885388227270433300080160415902012050575484339140114363171981287871811332026828383486101454913017600719593892190272472794041405935054311282964017207517404475660772036808826667359829991031056831377492662451251505341666762900327752130273438909655371530569300353740979594466687434530908963705375968902304574828200499578747629758122547657430844669459693751603211169639801084673842246211287801258945245833567204972816789304770861875714166005974433482560943763166631388575054188511846705113258002334912398749089260806372759061185544473791123453725843292039077023336109904548359921035549362480435785767978440253258018760330347147138714724535759495055330504842971035943928724911566783571550242488024648898681462981014376607961376441185606457126062884270577198003173859960937276032439986558987415416472884199752371130033940759261634742552138103252913798877895125334237040052011397702414965831146312146867102172342114246494618912976200507536178463366935852602217

Errors (if any) and Timing Info:
Timing:
real	0m10.364s
user	0m10.150s
sys	0m0.150s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:19:02 2004

Input: contfrac((3+sqrt(2))/2)

Output: [2, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5, 2, 1, 2, 1, 16, 1, 23]

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:19:40 2004

Input: 3+sqrt(2))/2

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 3+sqrt(2))/2
                                    ^---


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:22:58 2004

Input: contfrac(3+sqrt(2))/2)


Output: 
Errors (if any) and Timing Info:  ***   unused characters: contfrac(3+sqrt(2))/2)
                                                ^-


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:23:05 2004

Input: contfrac((3+sqrt(2))/2)


Output: [2, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5, 2, 1, 2, 1, 16, 1, 23]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:34:19 2004

Input: contfrac((31+sqrt(3265))/72)


Output: [1, 4, 2, 5, 1, 8, 1, 2, 9, 5, 1, 1, 1, 1, 5, 9, 2, 1, 8, 1, 5, 2, 4, 1, 2, 1, 3, 14]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:39:59 2004

Input: contfrac((14+2*sqrt(149))/25)

Output: [1, 1, 1, 6, 2, 1, 9, 12, 9, 1, 2, 6, 1, 1, 1, 2, 2, 2, 48, 2, 2, 2, 1, 1, 1, 6, 2, 1, 9]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:40:21 2004

Input: contfrac((28+sqrt(2384))/50)

Output: [1, 1, 1, 6, 2, 1, 9, 12, 9, 1, 2, 6, 1, 1, 1, 2, 2, 2, 48, 2, 2, 2, 1, 1, 1, 6, 2, 1, 9]

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Sun Apr  4 14:45:41 2004

Input: contfrac((36+20*sqrt(6))/69)

Output: [1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 6]

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host modemcable030.75-201-24.mc.videotron.ca. (24.201.75.30)
Time: Sun Apr  4 16:48:41 2004

Input: df

Output: df

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host modemcable030.75-201-24.mc.videotron.ca. (24.201.75.30)
Time: Sun Apr  4 16:49:16 2004

Input: yvon

Output: yvon

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Apr  4 17:26:41 2004

Input: -9913772671530*bernfrac(3516)/(293*5392676671*37137935265491597)

Output: 1693957869007375434095330063966928713021954597805229912566791377933605130815871224249746606245804317803569025079692177754108086854039079239319002618653589189107190133940808961241720427603379915138142331923089067042390171670969262571379479497455058462661932639677221168432947807457349176535784000210307925087144753913992254927840098507555908267379337195679624046394789003220071560178663460004121238446993032400905138981652025313742848734128125161945904151056458663599616612032489905822442506431519296413928076254857135503207366950970611002728284573328045387091715812529876850796683112838525603169451914525726107706136372795225121349042685992343904340031977839154816511095739453580845417294615303852933602808112778808639468518287888386854173054176177389086926591549418052469643120317749733443432020415130117018930949376053716061947753618452202818677756138483284456352065706113650600416902143148775668131291221550131463135030964540315430002774445168380246655628210379439292362248129379116012444365694988781185479931357337390338887204834069489430369541268222642678464999065941951713707858408247789909659321706935539448569986547098818898074117018327629119988088709349928546558746085666718326231496004177475371632271645719245117239395653646106966773878297840656517431432099111288017948237653843252006058762161880163010590066368750834726458093375690668998948130845564636671517983265824072940543103287099871789726980657595962894921711803882137319444442517584198697864729137255075574220634080339168752991159348000906658246952719120195905532977484931882993389111094080129433681353555906123652827815547400016309992965712204662773458894288162452099653607824254802037545894272282672025591345334095990651662601933967761990434949392427787274602079153778379722878822733369863484355788555469421561009168730071095440018793379471799780284616858741685476129172784838349246929442906739221697913781138263158990043717268290726568501597784425447046674877738165522137575709995865852249688661819376085961653693983175277106599502151240564955179679984845720164761788821458050866582618823742946068907011765006172198809524482872992673852493702232944268552952459347511494109545071111859477914594821039105835689777580232056352993066958068842494752755891725128672023652702317606923424460613402410782256221971052267931405682785481651226804157052565091186184251028720657863637060347638047396448304966923213916396760738010590851833729530461489356446226515019535592769794149786478476119597124054241662565789559775771841911359865696899276944732550067042893361831900378444318636088274418385856454755692246082677467077062449339543701546423149671383014464382548020598339894023153176398266482585107754151104909180163527550628702431640358002889576439403339431537640256177521026126425600135649825626202639031356924044523939148249747279490110382941854319350953396024747694683549855925063098207720724680082771292904258440748758245781673446576045595787434935520594678548509064869448789652048596294943782487333543166477812790045291956522285158619001598015510046752610261103059428270490101998388091890377704090819378989334540356795435523058069454088392354216037130656583143788850616391889264857078732306151303932459054456753375245178018274315711287253891769426924007365440572089202733117763299165767326320264950449783973854604611517751231136501342242178345902101073805601610447243466014365655809114207777687477997390984114942034153115283344355650824823105410350308964118268932392912926059482991409300687335019751911191984359198881934075342383495299242577105262547813444788143984698529823757971889953937382391839718542975999863428241801069457978166486793696470449282769880594283673698036744514287786456029773710624478103705446057038799196763223985406087195087105268781822109094564271511622234535459399266635788527605205043921832218370798404843670023405635753984899785432231361599559935754591111457288342311967207919929782035819668049677994489157617616994205493479503518962172543635560306218483221423722714979592419890013935238570819463554526177404897393353103817005337962975274220320173873708094169056742865545760369213795178283063551327740643070118147187970045706641694437373914560095799550586106183810372728057032828359328118229705007613017308474302982735560347947299305102700963143318583914535724350123384334079664505194546670214002744190505125312164921540007052817457305660137563951081711565196001065062547584793635339640627248431481684547385332339385771107555264162699343052929582978591465494990600689212398706600522137846214503817967855685193061784539456746710623332144038842478036336863856398335601455465003710086023017871697160620327393204171235884256608714232055773691332743020052985683460334169935110393758939394462987829332041211042875878940173569365610722668839241372551380059289422469798689064624236141638752558668372550651649609943598374228629406199290672742178642379614937752950056380919541682337991271295029245283558649330360901497695595973500298022305963610847504557086948034523625576627987236412876259465968045382034928516824620186029198389490950921230828557569328964762973064509657614724254913469972984732386958463875697490624336566784133234861764501495193599720642047047975995532475560150021478570146176888144915721627046244339903505748503712137682064615238475487821561060178470761543236202284304078280004745897413780403608751487078564279917160020573945280030019890798807128634626346235495374273874519121258428928782046035262510392265153779217483346286756645956061786659016259021099444631084031888376932150727982658779020356910523671661731525468160873455409737108127149431877293649394008855480018910637826370160367871552411987736608557858291061518026030369633993549242115028844361688197822164744289070326641416536347494699493800589587512104408868555433447488909439434199028644930329472636314297249906892103599249918766324146470226321093675625780977338193282983334333886559088200107383429844706257757813225028422405083108169727942199395697539800511768708222631554375148913566605095627222749140664532001543884695418510593255807348375160435746297721127238523395471163511900171508793747220901982084052202378736114727968944088445464575658649899726515854318446573323590825194242670789169591405238761045188956259532388784424446031348118906283695902439825365023130632001817621750589327202239105194348095939418495162682072770270714012702477490795980740545038274855861177660346248743077460557890542925543404229459568856694937253586241139789875445179654473020486206476676241511247765392936360781398907510662673850757198575435206021066732616461899827460781962056864691615135998711978468300749433984540687649796734933174684289196776987158119036720707479370692175662068937373140688217634638690662171457748619999160169604495981470894501662701124221135940435631245512102905060246578377365669752161423865843488717996157143630151252344691513015045975857229290235329723910004609893547860734712150508816480683294085887286682757200277007034655598532975227610807233316966109920005179955246728001312712727228534241929191745040844455136776851354970516650149299632615472204868811249603773404806365491506165737833465208405684580189521314176131619612106333554651906352055678222408894090098433005881933567611200928667897216673397793381055659420304032058935391438272617140634716658691199846752640856381974290158400434082608905783292289463165137031921914529213414939082335082293279251950731408198984612226109328870152200143193657427397189442732916732945690099460106872597389723842128085350459315315284817186509022910599635846371733248865287017252334755675338257657493940291429839371426849696573147025569432939811341128657918412860450510587594642464673788572965327568534600373332227629286985334376239697428101816917678499350344137017087107795819186292023913404523486005048399979796229402495712628936813310341755046285442580865583771274043858258403750132923881383050069943689193387408736403635403672545905128544473905827131228181576783672178397194978553353039152486892635358265318960829033807229631064699449844830360430837778182611866755194944151090754026338307780777909158015897583446330900769543069359664682365157553646399534374632316820236155342451951494848707144838711878810608461

Errors (if any) and Timing Info:
Timing:
real	0m10.391s
user	0m10.160s
sys	0m0.220s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Apr  4 21:00:25 2004

Input: -12074896022970*bernfrac(3500)/(7*13709)

Output: 14121251465239095277142339420341751208366493691265196991897567898535899363218563314347039910686374643883693395056994552741721008440618791359030731228108986129509983159117071884528938700765653458058209871181310846546496268594455540850688018269061068961394425763684280387018739812051724322808865275629372052173310852937038932784669378571976585521113687232150445553907512455748930238381248257690302224069656942146267545910654166107218238051145263825343291359692032017390317048973427667830864353527793961163663458631530647149649602552474209231529998602505747232022743679796354183867231287733571776495103264393818178186210647005318313561313094970896743117245290949417034415760599673044587996310000235357292536687388482321079613406541663433121459443851918124840237565291208166326514079207087488308251346289302136339097021510295649179019662684160665696761774634743547936970528660537502647663057073995098041187991388997270774663963894662954944394952510313993890370437403449751035181555078407947543712159394791046693049716744978552568443665355777676649869611096929046145689391836062906152498985671180597663758895462696074860401548319559487746445955078964544474834903510739562023093798643934225779065853721288328308492239868025322730313395845790929039799609830848531380306209285028262798072076814054141989486688230305750083494857717737962517526012613637194208399096958729750604268615799316992135791623196376429302840976868884879349629518978353891023096296454832141667519178572014401441572445433660330437339567763607218561120763828250834422834699912506137641092315638650020935246304827990713271423014138771842741277393261183964431367243859776099377293438027983314786668330729876472897624308027765274507743476043749373380095776137472802264837188648176272397908356440045104436124781191397100453488887544103644615109083633123621464996575701955063118784593675080726699613616139007378150855419515233467303546625673977602831054677649612441382026950584704440966457159190706827342005328463844981205723011203634079688913557039705847539157425480534980055455789508729946467355741343800659240430513288784762210873922859412696300232592937736993996215052438650728125068928506667425368203763806653050148132506541611956352601210401519596620580940866344408553124185756833348459946192073692757951775729778558078086089340189776104089393724759526349910272303825033689623735522631598362061932010112807795727306674412018157104473883182557268356764270320686872561348547888411164153464027252250269055633367623245178516894077018196010566157404913033976816337179483410036550775991151860907115014986197232132399313043836883342722978021254210961075371811904385145559885519395746043600215437219562535738744005771871902876322561262531589212976473482343219364427019426284549317618726254909708364527616873087368579450641965512269884963149844327017181076278730056916539046528483636342231327210794121947092172999787466582733730186562593980107922143721699653223983385747428515032990674437918293903779198134281938678321881001585995313951045203311479679710044833524630807816456792642914527660805639146841414233713794941994378320242697926304572168201654479564842291861066087410695704406615736373175538155686421188563694648341132225209602348199759818515738960423440598304526398518036124698293287034032582600629145598570932537096283132255471225112340656117785440973780085099650811493424918541305787268970984066359904276745335360931199782079218269968068175453267222126936282234819900655579107652602096887321566414931514399397287472405405746230732954506984847462619989881829400550440266993171013001565931913347833424999229394710154511708779939621749222364655547840237077268095572359660608760991297599933602447289049422508229157161269351832193604324426980378697270916577991546693628830263439106286158119014608245160109174071298091606648120694005222087720382386725733971390870181166076151339738113771252279007090649517596542962559557832849519788163723367548966174314246357106419521848579137647751951665586846586291200430842328864809234003907514697356607739213850307186982659961461284516127984091511292092901901806369942789118734978012452355838259494854517821552634211117119104770363457217360223145520859521009944425944211963042185364851304197049262550946458232813374380682195904966334486779927826032824432941551225197167452390325097001688401007384166005131555100403634060270540434620993146706420520610095713583627769650802980860711584012148674568479645308464568124170013714372459197824852361524834232098882276516014975600438569374807906793919425436861865752948833058977512405376570040383942548675454487617687302661930022656902783080567129957821451738478321884509655641256463077268246056489500418357719754981316538378412735505128956613373026931448296976771878447990722542139759046823338154735643609676938238000663058902217789174208033887021716206965274068286760775855573859231173691774078264387293642135550981964583604915674669294484677979910391099939244825220116170224623970610093150959280655057484566588387744490569593229567635804453243751234862303307752581764769169647673179042363380062356410759953060247857127281168276126198451646681491483964494350894033825267224414280244724318673229513148532347640013906766580444124689911623537261833497481705887713585408264111473415082537017449205747617708580204077053201328017659575991172769322867356629512599559909291019087237116023918064534647835536685949003956775932076556932332342491355389732108132720915366742986922838642657470481750804510808954892174122039702972731195873734356791884693483389592502390878439549031799608130534476300496883958095078807182666038427779653655489492734166106319100278262313979524945629402818888390466348630115274874468680000116463686078772271008003931810104706363598587472857748397421008944593293074366784743933239282310964856897289536155170723807843129357942990872054064074630261026487243869778921296122693284004397269063640746187644135087201003740034406028965753822434519735687904362956721253896654747230701259719884854440357081650018047948605220392081244254220377520721656221286164671785533876762393140133506364542460310504299365052283869310872131250185950374333860876428283487136826430786759665268320094770088685141849349195749806321741910457459975079736383448301775573554929184596182446026586489015272371206443856072944254328730095399142101106900617946869190175079598887310440419139530030363973379521688352993869980167311232685470935422076291038221340131859726755840311632603215724479809501581588161495344231139426073378962629653753441293532931303289688394037426379186509423813539253713397240091912440885876295874211382739739983737402235579635220531612766029636590370971461970306217603150306003885895354201225358251001079352227392103055776515253104223319715844349707232037159731018655182187774702957555729741719728297346826437974490400806981905546846554869063731917053146317082172401234859032270138457432908535842300011622388004367163236692279342464627216560611907512684565914075498990168082284217265813598583699688323699960948856462491585052487753240715591087047396614660969671876122450492822343685138040194264855524679656730479823474585239525391454975216672259589596123862832236649360152397551125674473441160613521407495506665975893170998987722692009342546081003376045174261656507573089318785920904349751984549771749381809790876398786808349213980005072299672516237810795281577444872826220643747332001055440094914564844857499948518536959625886664100298922399033778497456009423911207332680306636640602189659101107260223444050910341768554799381376137206514229599593842853449328806925022657202202105786039558235795124162418277212157597115565017581198064509169643186883762513507009906057007711011227951455719953149453846774225573082566120573500288342248543513721579365947585379516600167350070870900933823442622853485797285974377774008861692019267921527428819506462300169769474081848939168203665720382456255079094020869745417173723777492401215392793683714571913464401436811866597539391575415022160175649934178748763781934690377522417221702115292150756211028796221178803469428392189617492085107904122191662064195091015242567699031541485177787914707856036361698471879050248490569951473

Errors (if any) and Timing Info:
Timing:
real	0m10.336s
user	0m10.020s
sys	0m0.310s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Apr  4 21:02:22 2004

Input: 3137709067050932682*bernfrac(3510)/(5*13)

Output: 15830422015612046738045413511409338132872801597538723751993527501382814015283796545049579323412662794391681845826099101246401411070807224044269875255713888115877030588625664196921835076496566873312066832518459087595062472707845901313629915110667841694927252333464651271404665762710996533363456338254531311123678960851937706134488415971179647433290502096980897197734579200505671376532966091855366553366963284457222922445307751592739435835802313326737462425777864882023414289999732082393935688177639330520754598034917761957240771096091797865242273652346034336068090009992345630657053258967619238336311167410149457293904548728314396286191540462648167821730735623374915717269546686336152525450939327744624023489318539230360130357068156980410590030501826759624839656714555024439026443902070949848975700589036960883004066869766116104413211676387218704283313740169306812516743531845814468058557936233149005275084160151923453058242677437849245135667256306409830547173420697238978601279080538963493071875863748561945256971893445855285200034487687600102185678217818632894639724845160052182085537072892768769411285563178378464667569800814517669007322586927836434946130962307708907859409277534721079092960191668335442783356687007731003643984349641563137068857384812719111764473202620281645008674539707542969758597038978487564988967773835051026195287853575524698667037352402134052023734752267979623313880083570484518244738518975160693768433600490848946397599570001290588904835665158160366394046475772889115189639018498705360817299209011004595384524982418523453296377946174561666271863395573313613167468200986389029927723186172114147824416708306213410956132970266568579712036999836112485713621753879994858115600807499892565260853472995800714910257960988258079372368231291321183056953450740752729938111247039118971299088196669110810101105219499871714295975701405088680294634525990312872239193693251527133026160299205578448381589716265527777281609267906075016661422658682973568240058487692267185912778885876694240732789652478053848921747997457838457410815602939991147875383550342255300162379105269429090470295919191393445396189641411186367124752229617917452413295132364049752409115990987213391759445400423008854644891854461409554122215356439437920510398005825855259988367540520295624093496456352961533288742112092354271140900254008558295944591834094421578763882631586827910747898079333218281027373406387884414786620612462629791689016638590962166245138008603618358616124959922434263421766049194472727014688224106341149626017633644610284973517860562032801540750977550378454239310614957730149525243602589093442926832782964614458452820088426023482240304289708283871498868853777827028710121764153173143061891146932419523645276528385134246217375940923250320089202508681180628054360887971201570156813795526689017509949827409519145711066936169994180401471280749106019202985979470813879059483894217089947090537722337201099462182870191408279503563916200010303360112736331545379229221579375519098521882739932076336851432948838490974801942100575539623976091963300806294696835515090139146409422545642151081077042870365834580811859918935715550382786844537181374355123272746634831963003075992425489603253225139636340898133737956918741124378516338668291410192218014240118929748938744747208914124149334732785161799675314265869597839073940852547961238542205272902886708309394413538509474881348373743021333733508429153804355915288655327149624670688592264722388877770872211350518338621634733287276606911344651399212127735381317045132678352190222669468431411963928662871255539262783238628812750699223400923187404759553603705500127757478714646281064990192662749617219946087227987322516091101758543682219166648515512104706121038871498821642719814481846696091430489278231526194290909703963139702625574341054300755792978308340825645847966834041432172116786161355421051128998551322344132051563350386360533959321332416322023399007796663631762873140144821499769375029180928355283420950506525213426060496125379405329181062739248320286283691836621861047223706990982780429637818565068237809833488210522171922393175051157151320153690689359074773590566277368214220334330943344550948661136394963840147312464051507151650939345379030143147655792903457311020748132052835440030431212340478097665683379955282900406378903256139507078074210474700584445260923629710392374169411994886876713632550289424481068017646940170664801133394006521889899452269090737844485512797896595078334643794973367197388406542590321320766502461980624473642145034151771406072340840439994064695776242473574517680812706859346224803436897761214511873758794103497409352761201414953325631470553677221695070178280459459851590403482787143975293009062338441222619195765365728001072166722462304588680068764369144695866389879184033673994320080056240122864109620382462754829560120170632096225949540883886722431579316540538770848635147790534751747169257919104815963738110182222922826986354850959088452489812617782049657233871115937076605349787675433345782403552342407938513408894888853652198378064457576329366338877233004898503783588019619200301652656188301311574700753557636723194015218344674513523518511554446380466470655407793885250602556081122812622788206331190827716342972245434786939303714326131980906106370964748821552109625665700332942872156513280636982143466930779407180522040585986537989682073790883848834632431662511956027327853177920790420046709421510965868747745470817105136525047742303972489011987299179121093540418387285469838347673338661221401522092363460960071210993155430412031064469967142540667466743276056666375339210311336286882876247066311666787681947983677060235023286982462340665819663539071184073494756872223104664752373458328514594738622167742950203217229618663790996735816616679728454485345717517268605472091131410762682027314848702848721590727354573513151620057232240768251232872297683611337017583570662474246001262227100249973878061832685585561763596064585504232580822320314634251714158281609518357421210773103327541864663257401509599290281025125090528121442864665207764768433723733413190328916505206162931016521699934825576743772214919187231355980273769413603348622739034681501338146555442541016426539424226503619775238435446498833400188552060213531897759531960230874339070947872339917067307593312272868450933158101905703784133387807517803471424094250963950190387460343100875784440521653530782159695043179517883809909070948756280607982879812022667482138601913904342440664047807256093270887614027985799595450123629858483678367605857649116965807051347435804450222622878632015392044780184101687998463347021073649105539956568244997430129233966740357896668187238128115019533876481987884308488877380397554766200056084506251584427968925429507389484089556206784401420895450340926390342739355479979924031899899466716175426857789880706515940762174864590824992837791624238624099698462369273425212390596500225153462993257761091905013665778961101918732600998313260388315382438624862033007671667638510043845301626400650474275041220953626396784054762045423468126976787735925842814047439360259273578894721767358593695229123532170699465262079004813559943298701684406638902299846257525437615138789562947844478800820526516194865256152753252040572521356525243215924171731327924413407765086387458538842889022335600933359114570731079214591311416484938400135740650918576524336036996111170988878940626893991025265165404503849995808316361540008477716711786354553583464673228003264184380575345524152303287652985963656456948871306641303465461098623746480328900025738244812336326598709533839554619126742496463383998874131848451717269086240573255492000425405931655047196727655328470697135576909421215027968552565623041989999112893961816420851821153094841768616762659710870647843464787854323777806327824469054579313354232001062227940242427810998446412119526051615729921707960648030848094092288255314143581130950889510356313700277483117541566064064897473033567430380081098834326095949683187816299287276727018955391991384129184999903819155896664866765364825284630944808832907264516870206903042827196467139975352639010425515680753844733638463720221448412738490740355604635958662549729406784564755304676830398193491067237572947293120529

Errors (if any) and Timing Info:
Timing:
real	0m10.534s
user	0m10.040s
sys	0m0.270s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Mon Apr  5 00:55:01 2004

Input: 3137709067050932682*bernfrac(3510)/(5*13*4206034901)

Output: 3763740051669163916442122150476501272587229441427481809664975840242751712554987318934180028910003282540921988851109417184173149368454853923303161686178763383465569247929943460286525824169942348586343038649564236603338273799037575155306566751350844697835580878235002375555576913343115536207353106377500149783868605338502802436562191515485869106270286295225608066758782989115684320027226063157046198121160879177693471651320411045904308780200089292301728911825276573477347445814675631098367742283658080972437132431421486665700107345850052390053211698812300068469662470352465016470640374975723302571880196438281874659580849904201590524603100639522764583386593164024464598057681853348023971960602456195506501216576219568169515376322398467042722722880664646112226746050616051328630295619620430213110041092604086521108034635817710753801757784412454808653836641135685814537834129076765468346872839282973178846450128434615063375633809900677580025546073400594882640317258912169682588489552939865986402540282617726653347371235578307742910484823789054931141114232475227122381818021238538501153901165142226376740016871100703799097545767325176474803417848987515197736142361674546862695994846556961815161352649857228429779821431635745478956496264613749846073580497094576798368909493416560131631840336863515476986432414527053769920433614070729040342617892503199820373301593866668214797044726726098943351083734521413691484900619224595610118175194022444690693164452655427594347685529383142977965043394625148193745251810619415818494012826787764354641175380588817290295798700072308711988945855771279443590967054837186913282753852776961098218052258693374406442219146546869935188879926946690946089613000546044412891000118569841740184089231597129991316317410887850851756964113525153362263304112972873481616911396865063476870823092741880890564941419990340616124139884165238095416040516110380433630927137485378448842823879174838651292872311870891861931701376508876243550082386414076398135921813096782761554355177681083688357342437677041484188518386585265869007779686738265405533634099138982703406335596945021424697468509948389856548218319553879129146282904231639767939551658124495851017455927426982944038924274352570060769662608765264155406069312699561434407222006507514536667504352817612443319451299140078517691011930120062090074630185292549072917117915777946508001142863456906895206930209762712161818881066481165752644005607233222003092697741404443511593471204199981116280357978875086434624372616254349223483699338924325571026928964050602937441844556049734215351141466324788933138553292037395328671154933573646407297568162277266481116348703456948200497184673672369955329305255752519260588542074048085304526076529323697003636745744727032222554868414993033439902310146969743518077944947602136307179637878978857531241857336031059040827266529657832285401064787966462482571536317232954382244077316613091496334813157637467045702525156053479994531211312980022821584312083275208509552313289132053043447126341363679601300444118411391892252380076143248252132392841335770526621418426287599449096778321203509928049701380822145151479773686009106073840157810078329013455593119137228678921749887779265835817003655704956866904070831902238354993711574134812033365529179191715917463745491336983846134310560095548000580368858740068231687228948636071374330528538380588417016254404445897282988207634311395302190654298022533016970882219336262071390173818885434936794498291247268043378158915239499277109606800885493805701355051056287304222997620426115009707445228689024596532436442457200329170218840452436660225640668644741603299336364714525101539248088389790133285142138010981304319896636662761515625032537555533386315928742861879794675412471486460405498629193636220492521831198707471426591465447210426172909461147801301370682168960358288754683360491727911314866513377286673399040186030099718272249873173492708333884654163982030877540895524719012106967017651898788899084536710857744960615704889374635385633805373249607531665902436667936648639954274370683284777380115331962105980886209914460595249949442091515629829805150092869781131984733089496198233607623176575807244673301142600560744839107113084904963204714893767198766054685942240067233207514228553029320865219332717850964042225779353650673685387092887297764279656669942171379690266732111675273450231499676614783964408362295838754720899323326287096867498104750841677935446570240494799626448578894661410845739041251905905991244029481376524203340357993492070793559409445574201565905187989508896372817971482696090346711481273252244785931890068474199095694064417558693837716529390539504454132353256607862185139549839004167469187529312772763210120422395672921317307590072174098140704199583797619634775512783783333885534932794862032941954894710484965669124119355380589711077822927489818903929305732962790716206287509195478389771651739118032234024904295309821325901537909780217066944121153015332755815487820606797618689007933619882232421971371984028012074211365074058477941886533312646150496647621152123572530803956559283197659444191946332976755368500603934551448358202949100454153172519102295645576128689026195611775420802827857417696984203545029290952291788461869254191363720919405997764672210862932668751268192667563589677771936687423531280142097935604667165595196630759193837507465333461336995688824426564330082536952403586941124154815436510787239047697742682499668080796970417439982421231232608429554372119554435237702535065202585984312030402639147920190166182858396462212349866326788102515564709640046598971544641194425518312258849991485445424001933703180726808426376856634570531880382817342309623565774511279803377949548487798490358904597300073218891864525358622967582028444330690223103071853425073773473296836379655499503570446499994796586848870590208329526346360369241875083801550237595672477814095264517084332043924136608266930366586908696481177861219573801317248166544302306678720598800095957718881099630266306629850373041688360708000587716631326498236681961921985755079812192324664845953394234194378534333800177117575755028888433972055605352566413183982022118563337137718574868669010272375539349216003604092642915759872468881405153042921751646075201893195176925152246503410019975951747546932462068001356300934628785980269465303453305344292886975293643148853605642352251667862218290800497649769947970396197540618263680854569109415453186204807231283666566033299734624020297005757516871432741509732852132625057094744737113582880241089000383091133643354867075820530811865307304972467755236745866464076695682222562158429998093594296032948096537101998002995203684822381448397940478059320819463531569131405998361326692514860221975652135960368306887814854326961160750835169913918596939721612512206999014234461140882477885085885049213650397007691827015751744933217370576590663671441986359361078468544658034275646922976066978723616031875922315627001263836107897551161745008306176501788451370351247796750749708452701807488840260012478829042002531215076483360066168590750222942129356521888719782359705968440859419672916956084801302435799527268870539375788712459096534715915497270003903589172772358201941038800426626071842117317899195082355514970595521754097915537329138592237260223279190503420268163173377209819506176518608874218982405579123623923203225796647981357331999145700521262587601385219977514608583754805602604595497483843596379089655195787926838631031080537045116512853498074970962867094703055616015034025744990758567399931165393176433240704253430178640569493871217121490149660246372225610454849324251116903416031385862352290849211438955022473314570673823244874495331168277547941615517495540918486536484535372390146983022596169802068138335962204333065903097854420507255758376501368532932629207354375458754500086406201949446909794538533478147763025308774444648841896987541908855904211216210094435348369676043615491699815611559310154560713205289085886633595097712456864448185887671783686014470205825574283648102183004017112863186666148081225055285109552787076316472274385560756003556291656933273540607587231005343841696465714784528475723226398499335346038384098666792936949461943322225598266541067486542354553618948429

Errors (if any) and Timing Info:
Timing:
real	0m10.457s
user	0m10.260s
sys	0m0.170s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 05:41:43 2004

Input: mod(440896,1313)




Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(440896,1313)
                           ^----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: mod(x,y) ===> Mod(x,y)

Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 
0: default, creates on the Pari stack, or 1: creates a permanent object on the 
heap.



Timing:
real	0m0.090s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 05:41:56 2004

Input: Mod(440896,1313)




Output: Mod(1041, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 05:43:02 2004

Input: Mod(1041*1041,1313)




Output: Mod(456, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 05:43:55 2004

Input: Mod(456*456,1313)




Output: Mod(482, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 05:44:02 2004

Input: Mod(456*456,1313)




Output: Mod(482, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.010s
sys	0m0.060s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 05:44:33 2004

Input: Mod(482*482,1313)




Output: Mod(1236, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:01:37 2004

Input: Mod(664*482,1313)




Output: Mod(989, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.000s
sys	0m0.050s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:02:02 2004

Input: Mod(989*1236,1313)




Output: Mod(1, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:02:12 2004

Input: Mod(989*1236,1313)




Output: Mod(1, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:02:42 2004

Input: Mod(482*1236,1313)




Output: Mod(963, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:03:01 2004

Input: Mod(482*1236,1313)




Output: Mod(963, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:03:38 2004

Input: Mod(664*963,1313)




Output: Mod(1, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:11:47 2004

Input: Mod(5,1313)^89





Output: Mod(785, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.110s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:12:34 2004

Input: Mod(5*664*1041*482,1313)^89





Output: Mod(824, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:13:01 2004

Input: Mod(5,1313)^8






Output: Mod(664, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:13:11 2004

Input: Mod(5,1313)^16






Output: Mod(1041, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:13:20 2004

Input: Mod(5,1313)^64






Output: Mod(482, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:13:43 2004

Input: Mod(5,1313)^89






Output: Mod(785, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:14:13 2004

Input: Mod(5*664*1041*482,1313)






Output: Mod(785, 1313)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:32:34 2004

Input: Mod(25*25,77)






Output: Mod(9, 77)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:33:31 2004

Input: Mod(16*16,77)






Output: Mod(25, 77)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:34:24 2004

Input: Mod(5^{53},77)






Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Mod(5^{53},77)
                                    ^--------


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:34:55 2004

Input: Mod(5*9*16*25,77)






Output: Mod(59, 77)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:35:59 2004

Input: gcd(53,77)






Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:37:08 2004

Input: gcd(53,60)






Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:37:12 2004

Input: gcd(53,60)






Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:38:21 2004

Input: Bezout(53,60)






Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Bezout(53,60)
                                                        ^-------------


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:38:30 2004

Input: bezout(53,60)






Output: [17, -15, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host81-107.pool80182.interbusiness.it. (80.182.107.81)
Time: Mon Apr  5 06:40:56 2004

Input: Mod(59^17,77)






Output: Mod(5, 77)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Mon Apr  5 10:55:26 2004

Input: 6*bernfrac(3502)/(17*103*379)

Output: 315114228611415244515734852960802159847475955455363575560381398497862243045148206038770955279772780988364911601112830657323619357766928667046923686049421376373067037370957032823256464757583926052727804925710254216459471080358213579410359121368513132450817307504938884142445571945309245859043598540026034689070320006478899543207393362421250475396700652151496302382821288865918900360414383877955480514277738760791792863145754764713117963382695344463932529201198181761500934490367224138651817100145088058207517597045856098580696666209731857017794584346628409993780421356294397408468098584702946730444554844292549495447375153530762850250349430041230985237311364910988693704511918273137387086102037290564016005316776035961531844591133526519548790908567747827763663717348754354150097393297847338960026527890980981784982241894292405760066623524337375090300038055998993961471002989503427420048232083707344333999547208566389210519241784817802562407802577732461629580692635261075014766056664886328474724428261965297071854266420655270191276780782869604491581403961969264723228054393216021282102763165641942272815478897143436242722652518604541682559208661619941831663920353376594059286159353350999146432193689751511487614666011821810686481723707913055529045979641684198868820793335538256145160075589375142295609940584169759670989578814669806306894602846262866018626938436646330865011518336973634072244402331223529782377518297366077101373841408037174086827117566002636323586728373618758118645370988123372690143588709418884837418939201154678612166596267280079672044564495658412411157930659339066590501546825982480031100386068504562827776909614247799470819865356606879535544171838775353199478322407175792508572906120881395033688727802457654128565863704010919476801218261564990223440715907806563511692123412532921545844181693882992442779828057199892380922499298009559755713950192340877028987099886009224008273232518205496547976167564826047568133213613095322265798594920561761670274140223848701955640955321639237640154852189293623773015897247154531062591770485843746747547683685537509925396988713985730459540933979671817324688762333381214106724618634035033020785049240270634546792876202406270917372615115241571209539849982045907857411411500092635752595378529266460865830568909928928098791073245265886019922667179311467879610223661657241426195085521948763880401370228550206886118239706466472199654897694485663607582369921444411461498772091111701123203580774004330206622805071563772272557668960625513734810461291555965985537012471729741035375777645068279727507357881352788058934193503165109780732896740499060285083333625385926869853178675552415908772184081070534104898282027593746503032464484301932883100886825964364909624468115445505977396794078479663984082350799602011687131541719498900515651916392381848935480133819594076072655717723487845902510409926556447797063743480708704151718616010579203150402296267129631714656851986603384534674408212658040536555175897622575265147268832301472849588449885813280971276815044998860573475777584224252333674050896474493089360405798893089742452069509619830537733517227243174963289612234195199932349730089704807649185365426029671432010740118700622405482772201684441982613583110404528233194886845199217001088774627311420978991781033138504858188536303742454314757278259432880283056741335694230630382098756314351127597008589213964764063198847942808888748397685353445564645569870961760166768168092810617248111137351591356568491538079908257717742529896767822959499383036407119514374017143689770485922952258686073611327965028505796721191993030373273612061934340186394282619733146654813348146277359079731388683847620658478707299779703800716628194034041290036907356591837237489797439836215443796985927828989043071087241169771666766487072397695972795044283375274475376475850839443259960063878087469351829917130059294076470954608528329704852453921968618655131711258458586948672378940324264916210306531071192880842542609413552760438895838960538319687801597164751027449991180984494071363664933477543781476198021066197013076160646883270261251357526923891612852002708601854759724695870525940583519142745995186655602387493968651284271180579895600921492155920666835698346781012075289020499191309465870066160617286819915884570251124763741841611344413513675826679327601556500871170377171890649492673137194932305022481683145737734672972011959287586088344375721857876881577546441391061245333696770285718455178814963977392758847376803223115313412747141661094060359760387952263151216851321531953188490050729794547008764928606133119851660882550024466259892911455885888992599470106364072066981654379899316771928625000424659466100703473847039267771314748691761897477674426219054964732576819887072926813107099803339901316603166122205739059619951307231027589105136812328262491532290839280702217046293130723906463300088681123796157370120720442965013820667691960339249014753526938631285797262409055933439733380825511174385930583929721415252492154950462900515144974668830125849581369693908978294024124260656473276183146874528360310938758027562606255565566089990559540735614971078784440128207177503100989101691573324778929722384525847158974420210727198978841231258185482042338240247632515386574288891020626337671850509590677198684414710690436464816484808231176666466616510356231310913747618697086072129657910743382672627855579353848721580873852299409141910852525071850955335616261784112906142676789943131233243284652894098772492043038727150070921083594350106923129414086575166296631312957723513817655215585237695859780915152901614969968873181877799007881925168022327643267383459718042680581931737891355264109621953651937541521015892477587090329391682495881214007248413723228073153536310886395871087477564600236833284154872758748175821365941884523885882773932058559438217877932669572848120166501307750538982611702306613444871472811422115036071456693533658477872343442278022959272780363588452072219097695538911033209147084571134518638104726639591960738046847761160389316712554674870533091865096918938174108474482501979010932832793396711158309052047566874315582281164434226441926634177110063419181332035327010524044018783109540338461799717500382495057387505487294875889215714185288102946655600544839121529785643713099185726428313258286556036850685856888054763134880034779552961525310019437619408976883626063155994446193332345582506601227247151329562598366113658968801277900738127135154446657978592607818289525695566954682847692985512234008339804287060137496429937152358100597913475241009534834840385092075153923244320368642331058676497955611209011375416568546283977797250232202745899928505117248128658666130626674088998728720003517272129241910633091289045739355036171192717570854458832922690292374334225650080991920703135594064326587132740137318284655494598434841394200419750347320507502803535447254197374315186568134282085289431018455156925327831152948371305275776710863796209788451243904665579960494074008043664502921442464734722185360870379049329451389410678053850364086725971216126293922863203683649692801387111901851449576020534906899884957996861785080837840732267494728761645036178326818000947307791073500392555864779915808262554289505371276913303918213153758848199163469020167054530227070155563544065203897917375776567867877951478583553813423964060591243599054729961750262555103680180068957659728673534155513724951640888601408248177511721016370678913026293005019883879458779020960306299207077631382554046739204498808214000739328000425925331660721214024275157045050291389285589191508977881385260983354151789210142089235099054369638624486788064862588011284736903477386016635630009809530634527963318271394714734439007648240121934574570170538771350439438831405799142594976673809608748043647371185185429840896583974226088899944783826626181639726496682743121602059100173217588644261996071944136638376646472007471617889678735084210358528628645021878833805981780716685856754645090932214742753001583682075295256513128539544743050006416414324712508800040235061167705054489315361235358380501971005278979405265531970874737112537658400193617839004840419349993009229977696184399512708905476516588928587916113674726499

Errors (if any) and Timing Info:
Timing:
real	0m10.195s
user	0m9.750s
sys	0m0.440s


************** PARI *****************
Host kalgan.topologie.math.uni-siegen.de. (141.99.112.122)
Time: Mon Apr  5 11:10:34 2004

Input: polgalois(x^3+x+1)

Output: [6, -1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:48:53 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.107s
user	0m0.090s
sys	0m0.000s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:49:26 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.086s
user	0m0.070s
sys	0m0.010s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:49:28 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.095s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:49:31 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.088s
user	0m0.080s
sys	0m0.010s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:49:36 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.091s
user	0m0.080s
sys	0m0.010s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:49:42 2004

Input: factor(20000000028648227765637658)

Output: 
[2 1]

[11 1]

[19 1]

[253399271 1]

[188820156553211 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.091s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:49:56 2004

Input: factor(200000000286482277656376589
)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...0000000286482277656376589
                                                                        ^

  ***   unused characters: )
                           ^-


Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:50:13 2004

Input: factor(200000000286482277656376589)



Output: 
[13 1]

[36723745307 1]

[418928278639379 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.101s
user	0m0.090s
sys	0m0.010s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:50:24 2004

Input: factor(2000000002864822776563765891)



Output: 
[131 1]

[34313 1]

[2776685503 1]

[160240878599 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.070s
sys	0m0.010s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:50:35 2004

Input: factor(20000000028648227765637658911)



Output: 
[3 1]

[42589 1]

[319729 1]

[489586314462450377 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:50:42 2004

Input: factor(200000000286482277656376589111)



Output: 
[191 1]

[1434439813 1]

[729985608917336117 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.117s
user	0m0.090s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:50:52 2004

Input: factor(2000000002864822776563765891116576548759)



Output: 
[3 1]

[269 1]

[316674493 1]

[7826063684651434189467771109 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.136s
user	0m0.110s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:51:54 2004

Input: nextprime(22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222)


Output: 22222222222222222222222222222222222222222222222222222222222222222222222222222222222222541

Errors (if any) and Timing Info:
Timing:
real	0m0.169s
user	0m0.140s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:52:14 2004

Input: nextprime(22222222222222222888888888888888888888888888888888888888888888222222222222222222222222222222222222222222222222222222222222222222222222)


Output: 22222222222222222888888888888888888888888888888888888888888888222222222222222222222222222222222222222222222222222222222222222222222277

Errors (if any) and Timing Info:
Timing:
real	0m0.139s
user	0m0.110s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:52:32 2004

Input: nextprime(2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222222)


Output: 2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222477

Errors (if any) and Timing Info:
Timing:
real	0m0.389s
user	0m0.370s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:52:57 2004

Input: nextprime(2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222222)


Output: 2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222477

Errors (if any) and Timing Info:
Timing:
real	0m0.388s
user	0m0.370s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:53:09 2004

Input: nextprime(222222222222222228888888888888899999999999999999999999999999999999999999999888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222222)


Output: 222222222222222228888888888888899999999999999999999999999999999999999999999888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222387

Errors (if any) and Timing Info:
Timing:
real	0m0.503s
user	0m0.470s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:53:29 2004

Input: nextprime(10^200)


Output: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000357

Errors (if any) and Timing Info:
Timing:
real	0m0.975s
user	0m0.930s
sys	0m0.040s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:53:48 2004

Input: nextprime(10^300)


Output: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000331

Errors (if any) and Timing Info:
Timing:
real	0m2.647s
user	0m2.620s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:54:04 2004

Input: nextprime(10^400)


Output: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000069

Errors (if any) and Timing Info:
Timing:
real	0m1.890s
user	0m1.840s
sys	0m0.030s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:54:51 2004

Input: nextprime(10^500)


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.041s
user	0m20.980s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:55:27 2004

Input: nextprime(10^480)


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.006s
user	0m20.950s
sys	0m0.050s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:55:42 2004

Input: nextprime(10^410)


Output: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000067

Errors (if any) and Timing Info:
Timing:
real	0m1.870s
user	0m1.850s
sys	0m0.020s


************** PARI *****************
Host host141-107.pool80182.interbusiness.it. (80.182.107.141)
Time: Mon Apr  5 13:56:27 2004

Input: nextprime(10^420)


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.055s
user	0m20.940s
sys	0m0.060s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 14:13:23 2004

Input: factor(2345678923456789345678903456789)

Output: 
[17 1]

[19 1]

[37 1]

[3217 1]

[14683 1]

[5882353 1]

[706394609633 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 14:14:02 2004

Input: factor(2345678903456789023456789012345678901234567890)

Output: 
[2 1]

[5 1]

[7 2]

[13 1]

[31 1]

[11878659560727143482335488997547368720487 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 14:32:51 2004

Input: 2345678^234567


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.050s
user	0m20.920s
sys	0m0.090s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 14:33:04 2004

Input: 2345678^234

Output: 439343642328982252010309339054240693860336317758356995065258467791298195815369665670083413344586305959103396465158982418095206387561741205429366706502060891584838820600030009128221081842973534858867509300315309526866937082891091513739286566974179574696259205413907801602916000913175920162529283498278821452283254177084204471047254774829552706020699773288593680726533325777763401167699201479815627576082203739677536585989258799190410375592103434119840555717264970609806310037231549636076448230984386858486312139552356963121794912440485133068540483500785043793135534668212761823716658383622773148260142377768040251840713887132763932430145301987441817429198258810832412280552135980965308055328362830490809004639569435706151063372636199729750825360598791703669070101614046100335267524675428596986306721488797847631185314062237814775394139378998721705412313681618243333710202656082410287708186357374032541080064542768028922064711276948793193714940000083555607034519738366927243873925961977675796242656974018284240895040580065571590927444476092462035817343153835095274771301610272935441651753084070713448521135372396556223372766349812236863365271172878825567669926573277770915385406292976657575039130488557031490959646872160432431359824207940901201152629399296265148397978998522901709497185071088224857900192090175100049987138213357211929510996726655098197057658831268856680030775324822478592013058235731046544836349936630481936747447523787145307573975200028222593362333301354516350007932348268544

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 14:34:11 2004

Input: 2345678^23

Output: 328226073009555414226126450421609789663244100073934602136171535057426927353795289869293542934974055018446816986393093400374615243619158825528983552

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 15:35:17 2004

Input: factor(414844925891479900062933127574852230123207482642066459150388564409648518345464826705871656851811322867180934842371430661829916861809121168958859428751277254496405804363969485740638849880020977586858473477624453893990601569173533477403679)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.997s
user	0m20.970s
sys	0m0.040s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Mon Apr  5 17:46:09 2004

Input: bernfrac(3550)

Output: 2096515870571678336840764655444997955422246017256524167160279153468688937711629881861137137580463740208825629651512170831076115464281446287513672903644012343862431101174139020747182389681942280288764397766474577790540495031188210931138907516913669745006886042306905872745035744740862225346799962121759993976269270960079200468686696203976169955433840173102997145040436667684573364819722067774135777572539767576494227436067608939173833834353502260988008551517292864482838842587954952083596380562403221423616690628476187693400214653454211718649060685752261251787770628134277319970280342107057162692643665555547208119946800548306946338236916329327613085222995585943656478426755392936712983997064183170226235664514287570741677904082650150798052416426770893199473660059955957062376852453840317147480914138680804715731064843661400046601703292823597377042435267495004531011282261084892694107079234484992670057997367541675377262488114673471506601730485262131854031216566854821308509536783072114751302119486114387349823750084039429491711480003478959219712252530284959040221253312531744601486391569700010972035934442890240704914701455946520189436407821763647438822259687915172125099371545365876945206017068629500013685053990625818885020724799756369758166616504638621739078885898835530205351782829956755549379316610931210465212584874374362845519427164374891132198148667060710240896158215018757833228259368291083353157223796852934196097730401660872677674758197108659524589459708493878234742735599932833752881108747590883892491926000645112849711095210266291895593393227779699010638850826199722394396505979490834474094798569511160904142290082375182643797522000144862828056248136660371468858763128890596683994050282878869895502303415619656400617187695394080684944906851851226687162125012373029256257648179001278285636450227586287110340559779392377756238840227687105700080076385497911052382317128811032772490989894033126554960398957232692582939331107628649591360654049238579931438731613964660628678612936734754577132339195420488966376850181697255029953584548730255530013895416187581667436274253332282530529755262216170188086312495272431014798528052317262164259576474218038539773817297882061380049491273600562157594068729494549713749567564255960476782842425921123116993503879629597565367382642937221244153438132597869459004614602251363881855524948009844467526570311781713980093054733696859759762955228659700300205783069246264509340203435378696834107251677091268366402391835735428681302195858600747084266833948935355294205576502333685543053389574759987310746677844163325810244800079501527597885930711501107548258224639501251480824993842796550218063566528438759961267229256817951215885118724556665854796646469463384621737485896802781942654290876006247147036561851601780969903785066691688854006004147743328402761722337311455953842677508801186813394579730211691798333508005068388529473447355513014062303739283583404093600805791648570210777484327361257296158930664234218576691353426357095638583287936647574684928626438358845981953596379715069545530237928665604103826611891578246347243136889655191017642280530908029752166324789515685424984312077124067680284530288480573550000069256743091325381735208787947070321304691975901731315055844611312770564691685921914083277663162596260779705888392247990464234354626410218823108769221140005750351805872773649458756605368907003174510160008767303764509836807217207143643530066095315506261123615950783234045507598976672862792695347168182638950170256686937303212794766399961178086249799688673477644343065114120167992983819233847538386440520464663014246598905692945584722858021075410573774616537203721176919647338226511700487464692450093385843356858759625177857323868776912698388545555702256447325284993351343306290138874762428379252193781685859496581668520663956880672817106660153464110332804812265524055473135196942304116338553587076625641386000525165910832315723266957236674428594187815740335417127836705990408207413248527380433841486955017756850857309264556227845698297395886278509960685870416134621760816477884776784474242752011187842643029906661237633693790724193109511011073951637839541575182741287449549274155605323817649246602124578903169294792860196582446514515338589411729161827659378248480958312904006705419280028008886992383894115982795112995915613878031983038769551737249760243027373294528480424818850929462939147684792902795675113444715801176150895712357691934644184954387840122706105552917106279754178873208379876945454703273231931349088477795178581652062338619943547958503924460356257641280674519589342833876636417652635191721610531512397438881478335861267494781721833125550820392974339346715214881856718054427035584172405743748211047669542627489358539060493918633412315864849908508747136089317602005439367807685580771372329454517063034032971631571640407147716358240514566085912186349167741121133823924904776101510479232004334000004343268672796628209136206540039740214914462481299200879461571694762127277066016037289501190839135655091950170329336875452827586471534969335737218545540373798249183412804051445840529474604056853417905520338455785224995319348477734154551933917520877822304793538989415585530030794718329914270126338880216496676610689014092747573082207547584512886252172278486114639120787357380709896103021954390603017254978596392509543574825762915664693474490405226864611574646985753134991149560223363208092371486873157065286837628551285893030318309295637034155656459291914293096785258348698686076950193353437798421955871967958603673224588366935062485260526176681572679077843706427496532366154613437610331733197959414121989413814716041377594504719381280589084423738903300120667563411866689303290502432702404141436834341620124067385583112597351917247074776109853397023558255234002373224035747357215355858633161148608807752081390466006112911429776925088878556322451245014314250340466183586153766198137031999553866536339963036215000034314704739170483828372914795961743452719801749784318402714772140771756787717859512803076563608178024781686100123498706658633354699814365154170915033072167753868513254904271753859812428457411480247621366561764564102406485686342811735689444331212417255674231641947707979679938522129313812707215480638863155579298239136833286636277455313180444292527021531962391174699597785514476754803503221301774065955820323823673726318462541667034464793935355991607281874606458207991204043224294922727343254609716793174416290392115726931254530667910663257234940099837045897755823175559700542461195005124179471883067111692247732407060763932160123504791974325038366960310271705133769318170580803316436237560401436005240480734940448226667242653963088419027376787441844155611780299286543397202759347285088546797601178090019609627324647190323637053243858274623041446407600685957540985521037621670644591479616279654131260657328257231157936993216553985857151608586579013193408336112762595869395422091399117703856508887806512207149563575001259911120401083504032237221942788033672306077240683368844546261480921215560956486193360413147343593540775255335672892511836871760531368029778029312201527630859290328675933923335185317994981611653957079203818959931314963944131024031168538069187661394326412310918457930289687886316691178166975426426919632181166641777369385692784435758683574356994564239727691954140337197282067344234977413154717848466710358668207195107797212858387236031951966961944946403640052029292965293527626932100923873072698932139835379456046606709873806102433028785104119252196478797187626130383373739634250980315409140685925487827355685678295104725327935587949471933405812469103914953992272696705082586717043462435372894147574800285787668061425214744844150184445404118570661809251338405033224809190334212325393226697905706066443904822128628623082994404341375501502531954735171307729934072213905898897912216674352168720653843506636865533929600245027036454029433326624314240742235261040632636371521766975382572395148655576195619471332106117734190209865832751449769261928500133428299734608691056820516373563776831201120947752567160202384802486353742035951552244922020553820643609414699947234677264388349626429377313984348418309525095155063275039296073963263956220860533737986972215107635349456864754999594734639797814707963674261769910230407968030759199569394361161292382060525/66

Errors (if any) and Timing Info:
Timing:
real	0m10.628s
user	0m10.420s
sys	0m0.190s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Mon Apr  5 17:48:28 2004

Input: 66*bernfrac(3550)/(5)

Output: 419303174114335667368152931088999591084449203451304833432055830693737787542325976372227427516092748041765125930302434166215223092856289257502734580728802468772486220234827804149436477936388456057752879553294915558108099006237642186227781503382733949001377208461381174549007148948172445069359992424351998795253854192015840093737339240795233991086768034620599429008087333536914672963944413554827155514507953515298845487213521787834766766870700452197601710303458572896567768517590990416719276112480644284723338125695237538680042930690842343729812137150452250357554125626855463994056068421411432538528733111109441623989360109661389267647383265865522617044599117188731295685351078587342596799412836634045247132902857514148335580816530030159610483285354178639894732011991191412475370490768063429496182827736160943146212968732280009320340658564719475408487053499000906202256452216978538821415846896998534011599473508335075452497622934694301320346097052426370806243313370964261701907356614422950260423897222877469964750016807885898342296000695791843942450506056991808044250662506348920297278313940002194407186888578048140982940291189304037887281564352729487764451937583034425019874309073175389041203413725900002737010798125163777004144959951273951633323300927724347815777179767106041070356565991351109875863322186242093042516974874872569103885432874978226439629733412142048179231643003751566645651873658216670631444759370586839219546080332174535534951639421731904917891941698775646948547119986566750576221749518176778498385200129022569942219042053258379118678645555939802127770165239944478879301195898166894818959713902232180828458016475036528759504400028972565611249627332074293771752625778119336798810056575773979100460683123931280123437539078816136988981370370245337432425002474605851251529635800255657127290045517257422068111955878475551247768045537421140016015277099582210476463425762206554498197978806625310992079791446538516587866221525729918272130809847715986287746322792932125735722587346950915426467839084097793275370036339451005990716909746051106002779083237516333487254850666456506105951052443234037617262499054486202959705610463452432851915294843607707954763459576412276009898254720112431518813745898909942749913512851192095356568485184224623398700775925919513073476528587444248830687626519573891800922920450272776371104989601968893505314062356342796018610946739371951952591045731940060041156613849252901868040687075739366821450335418253673280478367147085736260439171720149416853366789787071058841115300466737108610677914951997462149335568832665162048960015900305519577186142300221509651644927900250296164998768559310043612713305687751992253445851363590243177023744911333170959329293892676924347497179360556388530858175201249429407312370320356193980757013338337770801200829548665680552344467462291190768535501760237362678915946042338359666701601013677705894689471102602812460747856716680818720161158329714042155496865472251459231786132846843715338270685271419127716657587329514936985725287671769196390719275943013909106047585733120820765322378315649269448627377931038203528456106181605950433264957903137084996862415424813536056906057696114710000013851348618265076347041757589414064260938395180346263011168922262554112938337184382816655532632519252155941177678449598092846870925282043764621753844228001150070361174554729891751321073781400634902032001753460752901967361443441428728706013219063101252224723190156646809101519795334572558539069433636527790034051337387460642558953279992235617249959937734695528868613022824033598596763846769507677288104092932602849319781138589116944571604215082114754923307440744235383929467645302340097492938490018677168671371751925035571464773755382539677709111140451289465056998670268661258027774952485675850438756337171899316333704132791376134563421332030692822066560962453104811094627039388460823267710717415325128277200105033182166463144653391447334885718837563148067083425567341198081641482649705476086768297391003551370171461852911245569139659479177255701992137174083226924352163295576955356894848550402237568528605981332247526738758144838621902202214790327567908315036548257489909854831121064763529849320424915780633858958572039316489302903067717882345832365531875649696191662580801341083856005601777398476778823196559022599183122775606396607753910347449952048605474658905696084963770185892587829536958580559135022688943160235230179142471538386928836990877568024541221110583421255950835774641675975389090940654646386269817695559035716330412467723988709591700784892071251528256134903917868566775327283530527038344322106302479487776295667172253498956344366625110164078594867869343042976371343610885407116834481148749642209533908525497871707812098783726682463172969981701749427217863520401087873561537116154274465890903412606806594326314328081429543271648102913217182437269833548224226764784980955220302095846400866800000868653734559325641827241308007948042982892496259840175892314338952425455413203207457900238167827131018390034065867375090565517294306993867147443709108074759649836682560810289168105894920811370683581104067691157044999063869695546830910386783504175564460958707797883117106006158943665982854025267776043299335322137802818549514616441509516902577250434455697222927824157471476141979220604390878120603450995719278501908714965152583132938694898081045372922314929397150626998229912044672641618474297374631413057367525710257178606063661859127406831131291858382858619357051669739737215390038670687559684391174393591720734644917673387012497052105235336314535815568741285499306473230922687522066346639591882824397882762943208275518900943876256117816884747780660024133512682373337860658100486540480828287366868324024813477116622519470383449414955221970679404711651046800474644807149471443071171726632229721761550416278093201222582285955385017775711264490249002862850068093236717230753239627406399910773307267992607243000006862940947834096765674582959192348690543960349956863680542954428154351357543571902560615312721635604956337220024699741331726670939962873030834183006614433550773702650980854350771962485691482296049524273312352912820481297137268562347137888866242483451134846328389541595935987704425862762541443096127772631115859647827366657327255491062636088858505404306392478234939919557102895350960700644260354813191164064764734745263692508333406892958787071198321456374921291641598240808644858984545468650921943358634883258078423145386250906133582132651446988019967409179551164635111940108492239001024835894376613422338449546481412152786432024700958394865007673392062054341026753863634116160663287247512080287201048096146988089645333448530792617683805475357488368831122356059857308679440551869457017709359520235618003921925464929438064727410648771654924608289281520137191508197104207524334128918295923255930826252131465651446231587398643310797171430321717315802638681667222552519173879084418279823540771301777561302441429912715000251982224080216700806447444388557606734461215448136673768909252296184243112191297238672082629468718708155051067134578502367374352106273605955605862440305526171858065735186784667037063598996322330791415840763791986262992788826204806233707613837532278865282462183691586057937577263338235633395085285383926436233328355473877138556887151736714871398912847945538390828067439456413468846995482630943569693342071733641439021559442571677447206390393392388989280728010405858593058705525386420184774614539786427967075891209321341974761220486605757020823850439295759437525226076674747926850196063081828137185097565471137135659020945065587117589894386681162493820782990798454539341016517343408692487074578829514960057157533612285042948968830036889080823714132361850267681006644961838066842465078645339581141213288780964425725724616598880868275100300506390947034261545986814442781179779582443334870433744130768701327373106785920049005407290805886665324862848148447052208126527274304353395076514479029731115239123894266421223546838041973166550289953852385700026685659946921738211364103274712755366240224189550513432040476960497270748407190310448984404110764128721882939989446935452877669925285875462796869683661905019031012655007859214792652791244172106747597394443021527069891372950999918946927959562941592734852353982046081593606151839913878872232258476412105

Errors (if any) and Timing Info:
Timing:
real	0m10.690s
user	0m10.470s
sys	0m0.180s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Mon Apr  5 17:49:09 2004

Input: 66*bernfrac(3550)/(5*5)

Output: 83860634822867133473630586217799918216889840690260966686411166138747557508465195274445485503218549608353025186060486833243044618571257851500546916145760493754497244046965560829887295587277691211550575910658983111621619801247528437245556300676546789800275441692276234909801429789634489013871998484870399759050770838403168018747467848159046798217353606924119885801617466707382934592788882710965431102901590703059769097442704357566953353374140090439520342060691714579313553703518198083343855222496128856944667625139047507736008586138168468745962427430090450071510825125371092798811213684282286507705746622221888324797872021932277853529476653173104523408919823437746259137070215717468519359882567326809049426580571502829667116163306006031922096657070835727978946402398238282495074098153612685899236565547232188629242593746456001864068131712943895081697410699800181240451290443395707764283169379399706802319894701667015090499524586938860264069219410485274161248662674192852340381471322884590052084779444575493992950003361577179668459200139158368788490101211398361608850132501269784059455662788000438881437377715609628196588058237860807577456312870545897552890387516606885003974861814635077808240682745180000547402159625032755400828991990254790326664660185544869563155435953421208214071313198270221975172664437248418608503394974974513820777086574995645287925946682428409635846328600750313329130374731643334126288951874117367843909216066434907106990327884346380983578388339755129389709423997313350115244349903635355699677040025804513988443808410651675823735729111187960425554033047988895775860239179633378963791942780446436165691603295007305751900880005794513122249925466414858754350525155623867359762011315154795820092136624786256024687507815763227397796274074049067486485000494921170250305927160051131425458009103451484413622391175695110249553609107484228003203055419916442095292685152441310899639595761325062198415958289307703317573244305145983654426161969543197257549264558586425147144517469390183085293567816819558655074007267890201198143381949210221200555816647503266697450970133291301221190210488646807523452499810897240591941122092690486570383058968721541590952691915282455201979650944022486303762749179781988549982702570238419071313697036844924679740155185183902614695305717488849766137525303914778360184584090054555274220997920393778701062812471268559203722189347874390390518209146388012008231322769850580373608137415147873364290067083650734656095673429417147252087834344029883370673357957414211768223060093347421722135582990399492429867113766533032409792003180061103915437228460044301930328985580050059232999753711862008722542661137550398450689170272718048635404748982266634191865858778535384869499435872111277706171635040249885881462474064071238796151402667667554160240165909733136110468893492458238153707100352047472535783189208467671933340320202735541178937894220520562492149571343336163744032231665942808431099373094450291846357226569368743067654137054283825543331517465902987397145057534353839278143855188602781821209517146624164153064475663129853889725475586207640705691221236321190086652991580627416999372483084962707211381211539222942000002770269723653015269408351517882812852187679036069252602233784452510822587667436876563331106526503850431188235535689919618569374185056408752924350768845600230014072234910945978350264214756280126980406400350692150580393472288688285745741202643812620250444944638031329361820303959066914511707813886727305558006810267477492128511790655998447123449991987546939105773722604564806719719352769353901535457620818586520569863956227717823388914320843016422950984661488148847076785893529060468019498587698003735433734274350385007114292954751076507935541822228090257893011399734053732251605554990497135170087751267434379863266740826558275226912684266406138564413312192490620962218925407877692164653542143483065025655440021006636433292628930678289466977143767512629613416685113468239616328296529941095217353659478200710274034292370582249113827931895835451140398427434816645384870432659115391071378969710080447513705721196266449505347751628967724380440442958065513581663007309651497981970966224212952705969864084983156126771791714407863297860580613543576469166473106375129939238332516160268216771201120355479695355764639311804519836624555121279321550782069489990409721094931781139216992754037178517565907391716111827004537788632047046035828494307677385767398175513604908244222116684251190167154928335195077818188130929277253963539111807143266082493544797741918340156978414250305651226980783573713355065456706105407668864421260495897555259133434450699791268873325022032815718973573868608595274268722177081423366896229749928441906781705099574341562419756745336492634593996340349885443572704080217574712307423230854893178180682521361318865262865616285908654329620582643436487453966709644845352956996191044060419169280173360000173730746911865128365448261601589608596578499251968035178462867790485091082640641491580047633565426203678006813173475018113103458861398773429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Errors (if any) and Timing Info:
Timing:
real	0m10.613s
user	0m10.380s
sys	0m0.230s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Mon Apr  5 17:50:51 2004

Input: 66*bernfrac(3550)/(5*5*71*1217)

Output: 970530568389912084363889340190029953787191323506902990341189558007424832576818953029794871980494052661856391103272730603342838179444464586208836276525750156289389100963643695879816398987092379223333478892439074515046463842599887014310834778160875736922650267828720299394741511563119758976379210999923614510986040927276355141915213445195954010871267454304858238355890919802596254849594161479572616835459982444243742954190104477264033624291320037028485447483325593751820497222657864332101047629198199878999011945086017426088263521915683552790427018992563682010842004992316511379994834727305501958241191364378908245835083059616441417124499787900338206498545527998267028563313339399221351972439354760714403075914815962013113707955443494530791448112662582059080241211918458950028054418665301259148408873670329818524455122229171269272953947167982861130434000715221929247066677970485120005128859691919714864766682116807840689984892276538477948189607444828244948310468760550098260343158805242515676794466242034719327716543353862298985721065876125415631720823676303558841877770334229681153791507493610921354026614922513548631338412835312041587560184597843896361294658032415024291722450896745377206021303195111513504717900459832599220306132492214639168871274150761738784536391188459363408882534959785919834882178958283687762604823393643036105605871920048668370918405712828933255943715216942068688073590468866343308863308228701006213723611124502726711844270537646035432064396863160732228979411359187914350045134116858075152210353626494543132429182944109572415842803374587249014015450692523704975988509954440947652296026715965560263538871792879115718644091402253441529620580119838193136557514502573487793373353028745307904361181672622079515403935048818121191527006770852679603330754393986254010739027625668422991864190441185140250470345871226986813031457028761882754904757946884420189251856359337911276165076455901283442498388895664741485912533766315039920679597365296761345137136558223583125724969844922090632628928406489736422674173017118997281972316469848753000981594633574440698681474108478493885798725666286383319088729048540518614708554777859277262062783903173835348440426299749501799387213351030429291177209945745003876800520446704770114848299754012113367437304676518136432179172028757505365740337055039271820391682271743669774682582665684246658983791489908910200819254781144934907104854310275926814162310574960134868796942552662091778328921078740549447332663203411150162461772125289425285837466379045815364762809649072664507916985781238700913897181553960123714421322115813578939637164350623235737023453887417214265045120324302530148514138178045742251081165562026787591338074256329165366994095137377583639050492114195351142518951476730888486609580983846665156195709464135476989597670440278404648568906367056351380178693300860723503688233690183340855952876534719885876582848849289553996199050347033964193088889394873198133245837657253368897858119936680397047162117123425481075972056267466610311028707562510436401493573305435691798228351251914360561811840049184138897606392840946227802044061665388106133218276072857719853397098440666927579723998509645537977279274476878644268050138895203893351837092816971648739132637222129119429996035470234626026902062377474408187247974005805300142050818294915376350883248412746999827238937944217231824553737038435855664545700587824488529788932478714522500968702116872709970777189788226988112309233731837866280600112105816722696156680216620090137509584362360076422627703629878818912515451347284441303590597629288154147900295330083448908814751440483101935194149120053039117023637994014918661519246462213339422715609823321437311031216804020589932447078952822201158954971565848344381952847964328494816456479110455578484240296126869117817615943460116370512952472211813146671141368089282360945512810395890288572147420272467103656595414966456843002217747759768183908446581498172944476913735154191669845363182727569470266918877847867768514521883303230630780236924043601226062685053697231073696233322058576169423530150451704694222756503480811155408100635700437746715433274596566407601965203162376867406239844274340651868134110488538615236864972912007861606820982253099592268756849634579720847134289075656696989493919709693424090128862699917883039992414446992481182667863361648829489753086344638041096123624673678261783274407352550453140807904823070422949859320514279928332174193220513479743795255989111879444430756017395324663373695757024939687052111601412687426869869313156553753248908239498022743839975737772557258850055043056785548212775128125007872731762871650442571422145486153122035471357342213114623517408568484977182021088913513123264397348653460649502498868803978109327191014574517688213264813083201795858116905149245488133810694533097565230424188614536853595823597863398144091189995795591154019384505840858310789856947703002765981618743237375040544926316867864751797847147791868344407032565275851320970322319273803974766321772844835233335414647829667886901048079423813226807339933280312127111651974516622884965095237217750144273274312708824620688286527007179582465278932272097317256608163222616494279412915489869993991286048065650466594887307284869396031841034891888163174859524010085347084898578752823595262468560164982282924881076114848338464973821918555517350897260826195500184741813503884238541391118878499754923731404572850377995689066187362548418678259537137979170972934735340559490219661994374847443818298681096577093039162090089276874894204574599309076931510723289350482751556566679781282704482096791977655390511398110857680240635465201373775043558684495741819261744489821482364884054239443241075608426494336866891263134523880735304122634785307633523707466344094065075078757616397918327929796130968720524324724223087855267319263701323324689633838427483365262685870934074468156672707620255837497516699819227402347743280041217130556568016343462529880138587343523539409285229114192037366603499610976319861487017421974054452330764025148324411725959007352024087564525936262179763637220628961891452550490078013009992159166945924047934829986719485488028704380749866474584554234879679848741733531608294563162558560543534349676626761943193890844759937615765775127772646871347543807465842823628623787968428297608070863126739038837733875295268124260221358790986129615270538018815112366355321805814161564784330530648315203593564106266672707902449762769401606687852259437623299345311021070098411955465532108822461004567898987352933988899919250575389608588381524998637684504035456374749748685620521611307016222907019376116896286753415997053944814878764424386092176440637431267568149514177065211918299110164355454255883323965551443076045969043290483229195470111074484075157449678046742991399496615175139764595702217469265519965502617278532587063852386152617800843447043204363469233561441354988921456982009680973008851330142881533997873556025695377553739657006956038242790700329141866856723155664718678952435446518624113577030324358542970341053939315293042157970322207809707858341343565623970526169421356153696900263928088830918178357736449678992671881496477811788028200937392255240406046280524109638371515114004340579958067498202826015432229653235579050505827962841983249802343499663542437272794418773644262415887475640609737793094208602240205065521615016305839439100382240880997047559970089106684389906818635039477653454941980610503097030070295658394839630554070774534218777000340191792841984111835894832248404170401558959866854941724459477116583336600361510288669832622670985038122063228945779611343250344286506377934191569061166378921484159136382641635121031768391814398398937685486057449134651314878919838350712946129379899688307814974400404238868566530983111972327301551320186093443513315125627568115886523688002098937453634959620360487772681458085874451610002368110884349761027248465531465426006834742899179585469062754809921310530573945349403939762378334843858532812264835122092345643963923877430532310312034781723096997613858309425753390906348304073775115535725023429284082093326490791219239438388391500417651323265326774167995475565348786086473743242804446470801335558135833422414367456738705770591258678166183457107347670906104706627841640009704618497005988047453547990676310747691442203197603

Errors (if any) and Timing Info:
Timing:
real	0m10.597s
user	0m10.470s
sys	0m0.120s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Mon Apr  5 18:25:44 2004

Input: 66*bernfrac(3550)/(5*5*71*1217*2600837)

Output: 373160858750437680009892715379714281897401230260451920032354798861837490229806386570859639408580411868124142767606247759218604695121018574485381543143899504770729230998960602252204347672342549426716660402954539063788489568012100340894425440025989993576164237831405927935792020631481234301257330236352226037612522786809152262104550744701015100473911842343391084622331549344536491463938017445757891338619060880879402651604119934184277455408132088642419900779374329783765955814477364145504330963146940726773347174423471146437959596051457108919331361016689504959688748273081516211894415039199112423516426198327272430311889233972156431612015588789431327875812874085637442316959247887976582912515991875198023973018999638198439082478234312465868275525403007592971124761728035609316560176076125208595697797928255334157602003596984843445765323689251906647911422636336659793392157205732277726412251014546361369346361235559106814454305393432375019345544317013424889107033143772600228443058448200527628911179840195567552951816416739034005484029132208368164448915359287628883270181996883957415936295697735352639948837594402705218104176784362896093665302592143950720977384600578592311522194930610944555933840988540040573368458100154911369034711707121453274031119270743125687821417177800593966051134676946659800242067825966674483100949191988208451973680749715829316069559804335655504725484610124382530728988579009889242910381630490878980006671361758820991797744548253518168214462060929128672415615188182848194656233403653545051923805154453948145319827018805704631179425459798998943038510561224599994535801341814557256873855115090088407516069554869880626369161697658654321520564387479181946641605953227167943770929523359329286826195441168392911744924825668860136766358972458742936727966571525341269267942445323725782070998851979243701343200620118441414449062755090719931662291003582469869988721461336451025637160827803235436322379639963881429675344424243057108415328359792159733630802913917167098793569087536854725086165879095743571271161175082866508732502832683767956616118054908646985059607391189257106769369117052081048942601573470586051608983868600484098796958018966138727048417989958425614287713282697235271251989242595750474482068828882690501114948669990512041868561803957009390507429734642157646073297578832995616561776947860888542681676193350158683140770255847986706133162047888789227123750665757187710787838905306305188982217091137234581916867946257512272907784379955818131802097603690437073079730248010857798763555597322194550414726405860382989744140657011617304129909762054899611024129674648290429974448182418665323911156417838768884214634818731716847722931334038537436732126717794758136320767175096933655992471698224591215258377005837308715082714135428965812234949542833894238507707495809389303739106436526530259366001522148725008021738267405201039493392525067847726167710183025523704945388867904433916115807870648255978073919148817618673472470568774743302699137671228716400132748137413690404676920376982654584463991132637566982563056143816148632848517630741234032585045829841019564872409022706192711507209437906996806565385851042155882788501743725399929822312769650171951587177087685192632924359664589379780098728687006959463432747023452306325579827716029266035221728238180747252538632099941432835230830848971696352842926313420345767364020520484696143797439281210044508667376109581078130220656702774033886313209858298304781233592774878958689298911122002925479819258268249832702898945363496473028731790431264557875989710753609104032121427690119816869684757380060130223006959467464936070655004185211545020708194321295382471688631952795711312441190979412180506133685734254238128897381478663292301268772924196458440860710595984483001609281592985480629597431952432666029288242000600718350651145078224105036625274128783295894941824649484103991194919278857961362667254797765812698841852741931994934110281227994274334344572594972952878386143663585788062427163966010852857953760002349486253939375686981239525077909033603825882296092395861858864484837170381955586896258197192348235625929537467264082844589874938878369526888137309976521496673676335984095940695433254223635262407029739988167970919459043220420486500935883225610499346585601749355878096055113574626217968561627615663723799087367828580825274079709274164337513786768659895304328827096147041615605804035567450327684827257695484130424365033229045947205926597276086042783914990397108481137425142492460455497886651466311442090219960992337032220517147577396526159939857062454832800263058606617350512563092875696636419401955988734677245391253062983732600499821066078139982375755618142743051013379530198171238302712981730265044927252515056690930190541779176161756609321417764075493036742324051110048476411819784865677677262191067884757335633434004446875318752441652894816474693013833386908076460889625092594308294893521438961087286531430045910938618895300953942054757120268218487077756630257998605554213499256709195095592393270095222357136524473101574386942829099762858372251750921588694146008721409721269428937739763497025268721038914890293781263332713768272395423979763671526982512358244447043582458260164434006462400552820068042435904055514375193405772127655389216629141060006797265169952440411478520247513505431090482069752290691409658474773896768962169034889729800345740045948376826918072481474138872882616085840972731351125113708605506103711819363527653202770775462114500147322571301026340296719356536598446207571674076182734594365035024997366975135590307793407565163278852070038493178194862645238971343224550734121454222415784370098950283575824145003805215201806757734100235516275430207894007388520259782240538151326182803506192347043522344425070215509109211795571047473531916044641063999289661107068310350804478450307997511310662542034901642573241877853527181621976568584505778654140000584357738452024384180954522382816211864235806599906160435022849774672263286439785360392290443273060295536201237302443042163861389247057129843864094138676135446998226315706128359307876898460723010534873995568738060923912934922122353238586931624507044733822515546523901557165973753775704411130573847789447227396620216626292469217387784736546257969113699080383650588972452923350239112571694659752982762202171097559411350668587740744727665795380572238395172834597197186143851041940096715713370027250759786380556841971870426368998392712769946660544048553095735049692704040793525707712593450475929684216589682861543379684060528971596420402576320472443440909598962827929637826736066023624556449178209559546756301673698465642696338139242845597351454329658526150020411671807025257451419318170234543383597032591529528118819269121085268307488431794545062020461518535792576562728862571161283654690845731495128569078903931895757213011533799537250451445497206399648823453066979387494703221061138749355296779337179918945835568657910510298629258848354415805241546069991407685564427583069164550933282139049449248625161293888689306682563552798710974174588908509898148296955099342195739811285991382976391608300002536452789593538092128871727730899583092931960555958644001153552082422795138798027819707313314279793433423294339459976729876891944951655814353448159383240073423279986328379479245928305877221224849402043425207914083277705520605177718649882736027523069037328921074401141202234914206453572102628649894944833159278206767645177537270923564248853603049648874786874677088267652682709524584909390366192073871699150762005292511551802339679287658979237582593742518384916022273856833410983488480418334409785484574499096397788170334804205868695917567743146779915512210787677895384600779551154515815152833997239703925448120334388268045897650569787495488659561735906934233853304648292576653628598606262186222192361876781854457660721319188768700368568954025745591082582880050679112487383777232963259724260084736888448949003565186539085229070991581007939117062676270130859736253572527715052931841690057456089665530954961926500884800968687239476487540646872874520127202810139787970189377221287644449264137360103473761866468532111517663477862768022554110599313254338408459586066512742373150695654292219915149138029707586926315707667745847720434193340338755501263635400687738987867385558398312034283866190554119

Errors (if any) and Timing Info:
Timing:
real	0m10.647s
user	0m10.430s
sys	0m0.200s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 21:18:00 2004

Input: 61973797*5924617*3329*107*47*(5^7)*3

Output: 1440705126335927595517734375

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 22:10:35 2004

Input: (10+9)%17

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 22:10:46 2004

Input: (10+9) % 17

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 22:11:03 2004

Input: Mod((10+9),17)

Output: Mod(2, 17)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 22:11:15 2004

Input: Mod((10-9),17)

Output: Mod(1, 17)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 22:11:26 2004

Input: Mod((10*9),17)

Output: Mod(5, 17)

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon Apr  5 22:11:36 2004

Input: Mod((10/9),17)

Output: Mod(3, 17)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host cs662550-194.houston.rr.com. (66.25.50.194)
Time: Mon Apr  5 23:05:15 2004

Input: > P<x, y, z> := PolynomialRing(IntegerRing(), 3);
> P1 := 9 + 289*x^2 + 121*z^2;
> P2 := 102*x;
> P3 := 66*z;
> P4 := 374*x*z;
> I := ideal<P| P1,P2,P3,P4  >;
> I := ideal<P| (3^2 +(11*z)^2 + (17*x)^2), 2*3*11*z, 2*3*17*x, 2*11*17*z*x>; 
> tx :=3; ty := 17*x; tz :=11*z; m:=64; m2 :=m div 2;
((-1 + m)*(tx - ty - tz)^(m2)*(tx + ty - tz)^(-1 + m2) + (tx + ty - tz)^(-1 + m) + (-1 + m)*(tx - ty + tz)^(m2)*(tx + ty + tz)^(-1 + m2) + 
  (tx + ty + tz)^(-1 + m)) div (2*m) in I;
3^2 +(11*z)^2 + (17*x)^2  in I;


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: >P<x,y,z>:=Polynomia
                              ^--------------------

  ***   unexpected character: >P1:=9+289*x^2+121*z
                              ^--------------------

  ***   unexpected character: >P2:=102*x;
                              ^-----------

  ***   unexpected character: >P3:=66*z;
                              ^----------

  ***   unexpected character: >P4:=374*x*z;
                              ^-------------

  ***   unexpected character: >I:=ideal<P|P1,P2,P3
                              ^--------------------

  ***   unexpected character: >I:=ideal<P|(3^2+(11
                              ^--------------------

  ***   unexpected character: >tx:=3;ty:=17*x;tz:=
                              ^--------------------

  ***   unexpected character: ...^(m2)*(tx+ty+tz)^(-1+m2)+
                                                          ^

  ***   unused characters: (tx+ty+tz)^(-1+m))div(2*m)inI;
                                            ^-------------

  ***   unused characters: 3^2+(11*z)^2+(17*x)^2inI;
                                                ^----


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Tue Apr  6 01:42:28 2004

Input: factor(345678-17993)

Output: 
[5 1]

[65537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Tue Apr  6 01:45:40 2004

Input: prime(520)

Output: 3727

Errors (if any) and Timing Info:
Timing:
real	0m0.158s
user	0m0.020s
sys	0m0.140s


************** PARI *****************
Host 3(NXDOMAIN) (194.67.220.67)
Time: Tue Apr  6 06:01:25 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host sstc.customer.sstc.fedman.be. (193.191.206.51)
Time: Tue Apr  6 10:04:35 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host oproxy2.rockwellcollins.com. (205.175.225.22)
Time: Tue Apr  6 11:59:42 2004

Input: p=100

Output: 100

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host oproxy2.rockwellcollins.com. (205.175.225.22)
Time: Tue Apr  6 12:00:06 2004

Input: a=p/10


Output: 1/10*p

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host w186.z066088156.lax-ca.dsl.cnc.net. (66.88.156.186)
Time: Tue Apr  6 13:01:30 2004

Input: cos(3*acos(1/sqrt(2)))

Output: -0.7071067811865475244008443621

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Tue Apr  6 18:05:33 2004

Input: 6*bernfrac(3502)/(17*103*379)

Output: 315114228611415244515734852960802159847475955455363575560381398497862243045148206038770955279772780988364911601112830657323619357766928667046923686049421376373067037370957032823256464757583926052727804925710254216459471080358213579410359121368513132450817307504938884142445571945309245859043598540026034689070320006478899543207393362421250475396700652151496302382821288865918900360414383877955480514277738760791792863145754764713117963382695344463932529201198181761500934490367224138651817100145088058207517597045856098580696666209731857017794584346628409993780421356294397408468098584702946730444554844292549495447375153530762850250349430041230985237311364910988693704511918273137387086102037290564016005316776035961531844591133526519548790908567747827763663717348754354150097393297847338960026527890980981784982241894292405760066623524337375090300038055998993961471002989503427420048232083707344333999547208566389210519241784817802562407802577732461629580692635261075014766056664886328474724428261965297071854266420655270191276780782869604491581403961969264723228054393216021282102763165641942272815478897143436242722652518604541682559208661619941831663920353376594059286159353350999146432193689751511487614666011821810686481723707913055529045979641684198868820793335538256145160075589375142295609940584169759670989578814669806306894602846262866018626938436646330865011518336973634072244402331223529782377518297366077101373841408037174086827117566002636323586728373618758118645370988123372690143588709418884837418939201154678612166596267280079672044564495658412411157930659339066590501546825982480031100386068504562827776909614247799470819865356606879535544171838775353199478322407175792508572906120881395033688727802457654128565863704010919476801218261564990223440715907806563511692123412532921545844181693882992442779828057199892380922499298009559755713950192340877028987099886009224008273232518205496547976167564826047568133213613095322265798594920561761670274140223848701955640955321639237640154852189293623773015897247154531062591770485843746747547683685537509925396988713985730459540933979671817324688762333381214106724618634035033020785049240270634546792876202406270917372615115241571209539849982045907857411411500092635752595378529266460865830568909928928098791073245265886019922667179311467879610223661657241426195085521948763880401370228550206886118239706466472199654897694485663607582369921444411461498772091111701123203580774004330206622805071563772272557668960625513734810461291555965985537012471729741035375777645068279727507357881352788058934193503165109780732896740499060285083333625385926869853178675552415908772184081070534104898282027593746503032464484301932883100886825964364909624468115445505977396794078479663984082350799602011687131541719498900515651916392381848935480133819594076072655717723487845902510409926556447797063743480708704151718616010579203150402296267129631714656851986603384534674408212658040536555175897622575265147268832301472849588449885813280971276815044998860573475777584224252333674050896474493089360405798893089742452069509619830537733517227243174963289612234195199932349730089704807649185365426029671432010740118700622405482772201684441982613583110404528233194886845199217001088774627311420978991781033138504858188536303742454314757278259432880283056741335694230630382098756314351127597008589213964764063198847942808888748397685353445564645569870961760166768168092810617248111137351591356568491538079908257717742529896767822959499383036407119514374017143689770485922952258686073611327965028505796721191993030373273612061934340186394282619733146654813348146277359079731388683847620658478707299779703800716628194034041290036907356591837237489797439836215443796985927828989043071087241169771666766487072397695972795044283375274475376475850839443259960063878087469351829917130059294076470954608528329704852453921968618655131711258458586948672378940324264916210306531071192880842542609413552760438895838960538319687801597164751027449991180984494071363664933477543781476198021066197013076160646883270261251357526923891612852002708601854759724695870525940583519142745995186655602387493968651284271180579895600921492155920666835698346781012075289020499191309465870066160617286819915884570251124763741841611344413513675826679327601556500871170377171890649492673137194932305022481683145737734672972011959287586088344375721857876881577546441391061245333696770285718455178814963977392758847376803223115313412747141661094060359760387952263151216851321531953188490050729794547008764928606133119851660882550024466259892911455885888992599470106364072066981654379899316771928625000424659466100703473847039267771314748691761897477674426219054964732576819887072926813107099803339901316603166122205739059619951307231027589105136812328262491532290839280702217046293130723906463300088681123796157370120720442965013820667691960339249014753526938631285797262409055933439733380825511174385930583929721415252492154950462900515144974668830125849581369693908978294024124260656473276183146874528360310938758027562606255565566089990559540735614971078784440128207177503100989101691573324778929722384525847158974420210727198978841231258185482042338240247632515386574288891020626337671850509590677198684414710690436464816484808231176666466616510356231310913747618697086072129657910743382672627855579353848721580873852299409141910852525071850955335616261784112906142676789943131233243284652894098772492043038727150070921083594350106923129414086575166296631312957723513817655215585237695859780915152901614969968873181877799007881925168022327643267383459718042680581931737891355264109621953651937541521015892477587090329391682495881214007248413723228073153536310886395871087477564600236833284154872758748175821365941884523885882773932058559438217877932669572848120166501307750538982611702306613444871472811422115036071456693533658477872343442278022959272780363588452072219097695538911033209147084571134518638104726639591960738046847761160389316712554674870533091865096918938174108474482501979010932832793396711158309052047566874315582281164434226441926634177110063419181332035327010524044018783109540338461799717500382495057387505487294875889215714185288102946655600544839121529785643713099185726428313258286556036850685856888054763134880034779552961525310019437619408976883626063155994446193332345582506601227247151329562598366113658968801277900738127135154446657978592607818289525695566954682847692985512234008339804287060137496429937152358100597913475241009534834840385092075153923244320368642331058676497955611209011375416568546283977797250232202745899928505117248128658666130626674088998728720003517272129241910633091289045739355036171192717570854458832922690292374334225650080991920703135594064326587132740137318284655494598434841394200419750347320507502803535447254197374315186568134282085289431018455156925327831152948371305275776710863796209788451243904665579960494074008043664502921442464734722185360870379049329451389410678053850364086725971216126293922863203683649692801387111901851449576020534906899884957996861785080837840732267494728761645036178326818000947307791073500392555864779915808262554289505371276913303918213153758848199163469020167054530227070155563544065203897917375776567867877951478583553813423964060591243599054729961750262555103680180068957659728673534155513724951640888601408248177511721016370678913026293005019883879458779020960306299207077631382554046739204498808214000739328000425925331660721214024275157045050291389285589191508977881385260983354151789210142089235099054369638624486788064862588011284736903477386016635630009809530634527963318271394714734439007648240121934574570170538771350439438831405799142594976673809608748043647371185185429840896583974226088899944783826626181639726496682743121602059100173217588644261996071944136638376646472007471617889678735084210358528628645021878833805981780716685856754645090932214742753001583682075295256513128539544743050006416414324712508800040235061167705054489315361235358380501971005278979405265531970874737112537658400193617839004840419349993009229977696184399512708905476516588928587916113674726499

Errors (if any) and Timing Info:
Timing:
real	0m10.624s
user	0m9.920s
sys	0m0.220s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Tue Apr  6 18:06:47 2004

Input: -12074896022970*bernfrac(3500)/(7*13709)

Output: 14121251465239095277142339420341751208366493691265196991897567898535899363218563314347039910686374643883693395056994552741721008440618791359030731228108986129509983159117071884528938700765653458058209871181310846546496268594455540850688018269061068961394425763684280387018739812051724322808865275629372052173310852937038932784669378571976585521113687232150445553907512455748930238381248257690302224069656942146267545910654166107218238051145263825343291359692032017390317048973427667830864353527793961163663458631530647149649602552474209231529998602505747232022743679796354183867231287733571776495103264393818178186210647005318313561313094970896743117245290949417034415760599673044587996310000235357292536687388482321079613406541663433121459443851918124840237565291208166326514079207087488308251346289302136339097021510295649179019662684160665696761774634743547936970528660537502647663057073995098041187991388997270774663963894662954944394952510313993890370437403449751035181555078407947543712159394791046693049716744978552568443665355777676649869611096929046145689391836062906152498985671180597663758895462696074860401548319559487746445955078964544474834903510739562023093798643934225779065853721288328308492239868025322730313395845790929039799609830848531380306209285028262798072076814054141989486688230305750083494857717737962517526012613637194208399096958729750604268615799316992135791623196376429302840976868884879349629518978353891023096296454832141667519178572014401441572445433660330437339567763607218561120763828250834422834699912506137641092315638650020935246304827990713271423014138771842741277393261183964431367243859776099377293438027983314786668330729876472897624308027765274507743476043749373380095776137472802264837188648176272397908356440045104436124781191397100453488887544103644615109083633123621464996575701955063118784593675080726699613616139007378150855419515233467303546625673977602831054677649612441382026950584704440966457159190706827342005328463844981205723011203634079688913557039705847539157425480534980055455789508729946467355741343800659240430513288784762210873922859412696300232592937736993996215052438650728125068928506667425368203763806653050148132506541611956352601210401519596620580940866344408553124185756833348459946192073692757951775729778558078086089340189776104089393724759526349910272303825033689623735522631598362061932010112807795727306674412018157104473883182557268356764270320686872561348547888411164153464027252250269055633367623245178516894077018196010566157404913033976816337179483410036550775991151860907115014986197232132399313043836883342722978021254210961075371811904385145559885519395746043600215437219562535738744005771871902876322561262531589212976473482343219364427019426284549317618726254909708364527616873087368579450641965512269884963149844327017181076278730056916539046528483636342231327210794121947092172999787466582733730186562593980107922143721699653223983385747428515032990674437918293903779198134281938678321881001585995313951045203311479679710044833524630807816456792642914527660805639146841414233713794941994378320242697926304572168201654479564842291861066087410695704406615736373175538155686421188563694648341132225209602348199759818515738960423440598304526398518036124698293287034032582600629145598570932537096283132255471225112340656117785440973780085099650811493424918541305787268970984066359904276745335360931199782079218269968068175453267222126936282234819900655579107652602096887321566414931514399397287472405405746230732954506984847462619989881829400550440266993171013001565931913347833424999229394710154511708779939621749222364655547840237077268095572359660608760991297599933602447289049422508229157161269351832193604324426980378697270916577991546693628830263439106286158119014608245160109174071298091606648120694005222087720382386725733971390870181166076151339738113771252279007090649517596542962559557832849519788163723367548966174314246357106419521848579137647751951665586846586291200430842328864809234003907514697356607739213850307186982659961461284516127984091511292092901901806369942789118734978012452355838259494854517821552634211117119104770363457217360223145520859521009944425944211963042185364851304197049262550946458232813374380682195904966334486779927826032824432941551225197167452390325097001688401007384166005131555100403634060270540434620993146706420520610095713583627769650802980860711584012148674568479645308464568124170013714372459197824852361524834232098882276516014975600438569374807906793919425436861865752948833058977512405376570040383942548675454487617687302661930022656902783080567129957821451738478321884509655641256463077268246056489500418357719754981316538378412735505128956613373026931448296976771878447990722542139759046823338154735643609676938238000663058902217789174208033887021716206965274068286760775855573859231173691774078264387293642135550981964583604915674669294484677979910391099939244825220116170224623970610093150959280655057484566588387744490569593229567635804453243751234862303307752581764769169647673179042363380062356410759953060247857127281168276126198451646681491483964494350894033825267224414280244724318673229513148532347640013906766580444124689911623537261833497481705887713585408264111473415082537017449205747617708580204077053201328017659575991172769322867356629512599559909291019087237116023918064534647835536685949003956775932076556932332342491355389732108132720915366742986922838642657470481750804510808954892174122039702972731195873734356791884693483389592502390878439549031799608130534476300496883958095078807182666038427779653655489492734166106319100278262313979524945629402818888390466348630115274874468680000116463686078772271008003931810104706363598587472857748397421008944593293074366784743933239282310964856897289536155170723807843129357942990872054064074630261026487243869778921296122693284004397269063640746187644135087201003740034406028965753822434519735687904362956721253896654747230701259719884854440357081650018047948605220392081244254220377520721656221286164671785533876762393140133506364542460310504299365052283869310872131250185950374333860876428283487136826430786759665268320094770088685141849349195749806321741910457459975079736383448301775573554929184596182446026586489015272371206443856072944254328730095399142101106900617946869190175079598887310440419139530030363973379521688352993869980167311232685470935422076291038221340131859726755840311632603215724479809501581588161495344231139426073378962629653753441293532931303289688394037426379186509423813539253713397240091912440885876295874211382739739983737402235579635220531612766029636590370971461970306217603150306003885895354201225358251001079352227392103055776515253104223319715844349707232037159731018655182187774702957555729741719728297346826437974490400806981905546846554869063731917053146317082172401234859032270138457432908535842300011622388004367163236692279342464627216560611907512684565914075498990168082284217265813598583699688323699960948856462491585052487753240715591087047396614660969671876122450492822343685138040194264855524679656730479823474585239525391454975216672259589596123862832236649360152397551125674473441160613521407495506665975893170998987722692009342546081003376045174261656507573089318785920904349751984549771749381809790876398786808349213980005072299672516237810795281577444872826220643747332001055440094914564844857499948518536959625886664100298922399033778497456009423911207332680306636640602189659101107260223444050910341768554799381376137206514229599593842853449328806925022657202202105786039558235795124162418277212157597115565017581198064509169643186883762513507009906057007711011227951455719953149453846774225573082566120573500288342248543513721579365947585379516600167350070870900933823442622853485797285974377774008861692019267921527428819506462300169769474081848939168203665720382456255079094020869745417173723777492401215392793683714571913464401436811866597539391575415022160175649934178748763781934690377522417221702115292150756211028796221178803469428392189617492085107904122191662064195091015242567699031541485177787914707856036361698471879050248490569951473

Errors (if any) and Timing Info:
Timing:
real	0m10.313s
user	0m10.130s
sys	0m0.160s


************** PARI *****************
Host pr4-ts.telepac.pt. (194.65.14.70)
Time: Tue Apr  6 18:50:38 2004

Input: 1*23

Output: 23

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pr5-ts.telepac.pt. (194.65.14.75)
Time: Tue Apr  6 18:50:51 2004

Input: 5*36

Output: 180

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pr3-ts.telepac.pt. (194.65.14.69)
Time: Tue Apr  6 18:51:16 2004

Input: 36!

Output: 371993326789901217467999448150835200000000

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (218.4.236.250)
Time: Tue Apr  6 20:25:19 2004

Input: 123412341234

Output: 123412341234

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Tue Apr  6 21:35:12 2004

Input: -12074896022970*bernfrac(3500)/(7*13709*55152302666617654862081)

Output: 256041013384312324558662381135030342889812379979620700527312574513586665611619939443310534204605119178787572893385853584687753333045070318418299170798748111169275285973883981189385097370292064305606872817054221133390980867076387882893996194576956236104835728773598241449459227678571037924703731234067857162262306088804611363920450526812415617655473012037176216603316258114293899256801686304593770016246538897867872329579189861898976389698258879340498322655603024820995580460679096151889272560050957251051175300719412515145461471915992801286688290129293745721294867932122758458135179245474135216695246364223626643391466084217777682569500685108547274991260582878090760076601238577067000847486394599329747185566323205892054931974000863696583451428429067964988025018298917971002202498075415362512496949126615300663596932389193363076026472422519578142397380111365578662694297552142488543120574724326720099256932702349649222261740614591588412080534084534710264606403213384343088255322506510818488451872175055914410662085241225705631140841167624920369077947715223772888703249842208169023373122847410336285254095023097406289281343758000852135780899770389620397395239105706697027291030137345313595094261574059056678326647827678606587147930302971367269896601028581093725874976631277311299338816410474265254681958858179393641797831805497904456348868308603460274953192590385053421052584706228702294506822384630987389299660629964070002587884607190576116428230378105791929921570985198989059167626174062699999731809945449825605508445664051045217590258821787903972418614396789919225510699902104234832061402790622693514862062004280442845077904773532256216582924688917402987739432012655034435050659761779727442578325255101070375375879264442097287491984711337966167468341764248428258787771648618437566488727556155838398606764248986054839507914204502355953304265100022632380094659207364167451223246875391678133257374752516024055296263289962285510623148891603261074404077909854616175794055868444416483485062525402957027738139275679365322761411988748390900843666715169806778711602860426953736845483708777265471532113040328607220457522542370279868804377056388566831335710991568184009034584525375005530499401863835338930904723848661633202091848517571636254179579997479260134633279047552344535759170801929678427382370357663763377502260480433651760685959553229943006160961416798376234361216278762155031666400978382512515746402622320073052374870342706755338604253268119957284625673012864843751017117041860745447848392919225424792723072998053865312245094141201216934040725534987091249776551450109064091874573742376190049109476007258030617068900876730262477306450338324736289612593322015774142668964175881109914513615092523598611089477715785225632075439187795095064316043598230676180528707316393460351980034354858559390551521945667292682724032569397561592256240913156499830707967900762072279469434956520357129457699389604594456758559775512892791588980966053374861555184926452250035675415613616538680339318625282105648489209170881597985636990117391580265929332904823366930900223373557851016249839419357052127616442986916047152080122066400053536155960293669985236846570810548637496571147558481188554750428463889368045630984488381217383061876458968160926516726371337084591322423380206953968104719179895387273008689421115474126376832757590292746393832859944446729081325452913469649628555004969217176696869544554873556190763173149769796123262960415548768448290310295123751953537677183656613168725371030103286423066305549843547382431971869789687954681380845692098976603200788588744482557964507770089955200418869676490808846624030557138568834666658897858724183539670794149869350857452235372443232412045173895943851333846161930318953184467504740854984587769119030118037022760631103976313262456706136657618322079230646806207606528919594140905742807139891442084296285897116771462998539083435714103629763801685606510727370615475908586225809507240182220442561659248004276585619852210336656616028500392979024538642897494934894691810203300039942592136782954517929486270286140355294059449353434930150870145110237801561926322245770691400409342597639145124610714919132225027215800866843862865156089683921642158216523329211463415462204808248276905126709489604807916222095001472157116065077915144980016528940433092881201616771562223887270373142449455984887247731246186938976399353926765183783640974012551310981432596994399789410304492281176055362930583946699642654713395113039428894810910384652541375112807495294016911646535001895189905654767993272211306554015579204499778012770004486136950246297065786809071774706857382892691518522467985598840942169769308527603653326148224223989387585261524705355426544144290734976014801893714942676565330561263588678634614859504814260412503570132714659680220290840861656936556232144098131196511115514058713725928684265335418094285442163872674806778019767322664878461497441456330505111226800360645571892330494251460803632254059293647421983321857445916773451143105534572463835275964916469562457464902116063597833302228821120328109527351042206156413508170038071384583935471464143577504406610557188032761784265661423331425489789943677748437295633277561294211130886143711580661784135118499546250256698060941891375170672447183751250718472229922877405944892614916962701229610995353253913090653369770995801670677560128008865270041601269747521378697851950568905160244559606287364695622232582520689547339198520477320078541803244085831038185847746190526392858129878353865000152538763987784781889741380618981491128951060072772335035921228784481885736580188223308096708079050577022275427235316172853708326042893571280143150938556761117653738551074908114622440586353364083925162271814615461803837518816351068732119549976923227686892827263906015367195764053074917623547832222813601183634673255190475232065747594750075177775017313429443600735617670073589852572840523476563473555800754139741095077248799726203036626603303253247640352843460441332727608868085450914686859298609145086400416018157816081796593996387524858854130440654848665797935524667143177031598680087258321809615227797334555318878209936335302395912434185588184444958310730589464855803109044149696523437882611681701996287289172519711293532274229669443782547038910371124560961705849146487171771523207328541105146518693690491464530182193490672990208179967510921789208984286064283889932125035818480670877932341660148152503266397319321061977323042366888832801230416742557072002656668550802252087874601385565891247196201004598985004480221887677613134389390275482298950523868445426960137225064740820180929010420982178952595354230500652051710482115511130254341154750035560261931850530118622273691318316503157136767017857442238888419875300679497298957897168716103013641497664751748889129041572233838933893877922597478138690962598072412507748571782378111311111283065902577460073591110215787865635272926071995429627957770640673771306612061268331686583845490570031125090744868716868904622525413788550558371789144211679631290475310004303231621631266609060239542850280960581165575876167724384752243493904538377923917441675075423718019844694542081697346384149030490713815781889561387173069046585202837848586583577745824492988306759663278328800469897352984840131886965838762460636825030492027152784892622331340550561107751035874532877661294035179528244575823676499297252415831412860461006066117390619488061651366979258351456930282684232672514085897917807476908779686748636198815336112745116218287388907151618684069812249724119402979758322148252309368700108417904536022364431590292961598631411954826431543978748399798219599678551767369797756998858611687698559116527210849330822886245998915637813678223099312550865847375294487551385128844536123563261195899341949215208471186848382352210230563287185754467209228882632447790670486300120400657757030047692008159146532961700768872099684456831737810032208167113776017592511386067318868269964400631117230689900240065431747973130925338026329045457890720751808547190924656994001548355715033507060868977702327679689305060753954867469788135682826858178390269866439412522028441712909632977662099676289038973749035873998833

Errors (if any) and Timing Info:
Timing:
real	0m10.393s
user	0m10.090s
sys	0m0.280s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Tue Apr  6 21:38:23 2004

Input: -9177517440215670*bernfrac(3504)/(73*11483)

Output: 118640675558308116932033162366686525333515499115235400809153351040042743584074734835710195740586363241530686313396482946191982759692292214738760928539024556385193865728458928966546141652478236848652517326292587243957600075899115767732515915368701936473432981192755926819084977133767406996690612872164561593415658117906254077583249508671047877370025997485040376190748505170942680814848255351360470318798571920128083647872113079375853745809829965790402833066077404594519482644222650266143276987208415973693675838465703891634201082932872161133491366733821386120545158146347363133623406387307912968133323504708560083481015745151918754479846045554814929430172713278453427455199354186779437542453609970673947780026586812778466835445585718566207218551486561652376715575332165216072210470983994341491947213296267643400790761471695077276374303184312457406393401865657815248292407096488573781837981564422520665380490539161094981437957010208993529615721040511949216027210110986704074616253200766406375812965355499901588754142444513390810074575532734073825382997736109029774893098583621656239182824402239328773240487998699426443047802918022013506862507880081688085976634184660962811203050602815372209975726329377087920484248058976381399041255627751736086490260933490790887669728390989451772555731317435782757231532440383674812549656923582335566041214189486617869110139332547469570251741450927340805452837265974312548899309454673209831645453506525153837862494101041399625677854343913826846806945529470632737663287244256080393746227851833971794952520528413471435882667417309672616076511509678149766297286641190097705449828334779420106699130266582803585848346928319840539512558401893514452446803181449649419976428014068011348855602407672557847769165907031616944717245922784168141363352547188128971643806717395114696639930265121140813908854289013915825357342787529581709701178331327440050173547903336540927817671533356389455478416848456440718464543653277309869513134123143898641998597986480133488322146773107490444829730284680432443718291185281475579605609079402441960325123245267606103637507780833566201182179250985588492500617242786590679925186683861983905750279267361512249918447480536851221437295760609793134076539798093376290139465038399529217749748208232665979316499874361507823758674264966645139063091161811409901872840540373886229671743631886249656810921495750510965300851988913620705851137395401911024167172996973908565819126218650048273850091612203288405724554019355314948913402606249185401833013579908274483797840794632169770341934785390913505866480756086768041584623498476329385523417772976161154380517867134265895704993274245506269329863736960292823366308752902769833980539038022965375931860631972968815947703885701767362937976216818601494020149675693482042380927737328301279887842708516477168258092315130847112777240946959392555756544075678235488082610758630574967661269727189086465568871009565913299209960817703839013941872132290373578409384902058935247021055546787753547274625534906982992485014083181236159432929361168493889654746787882339439477129895885372380616860160594808143506420575154482659965281420091396186647298122819572029204490343406312233348408061874393850423376394832877046776687958973176900180456529251875426370122960743930611781528441369371158852827752296744737317398914017111738142969628488827949079734924106230872364373773667465450916229238260531346820778059938586664694584561327339352021364275068416606682519340907656671528476055560659553527638577077845369689620166574484049891063352140903772571282474158372737468184341148949554794016217945747133004233553235999868695865900485160361762405489906231658060939514478590425398861779908289820810608668158526079080812833050391201259131814139561751005030602480676079454300474695878934751643456576746513340857435305667470229327038603856283280471059052291306093147205017468099530045957185567536634457490216565740040149679387655576967731394128386227412085399941610026262505693973398297348700462168382273031430523544986204294055451302530195925184214378704262391738879535732547283474585863413638484952750369803475710176706770847035874627975866052869428107693674426859966275154178638212649880908537575557540191699406858637427960530073370605217128569804261887035681861988676796163078243552897580781815097969292531274242948822270692369798633807779267568072806317859694215538179296234958782210423561059136591438064150204866680075295272261921307113517837254836322260049087789732680628843321821659879239070747149447300229184811549503530212856145633804474692730925889699575599827920631449139419233504287941287206571392545787990077892462975467310959873623919344144156795081499267492962902655513957145654796097955850718543386125146382300214932927948798953429108726047518360813585931696423740862550484511329007638550753464302071307410947013284393669842571650961492841288862699542834412704308101517469031528856551557346445126398629063064668848010905791187429327264971959202440617516295060871046377953997908823707558048534950939912139444234522673323333605301341355399335883019854052201792355300777607649424889632037691354471268049739951236148056771779766530905729786891436481037524993185691961114872364143711418801305517233563578230525366305034555735357309949480544666544525086941061715390670230281777775829536924749285588898267265226944971219189713279130975147507345107852103311989867269810431628937362955066847580822721264103102012735821668185306399403874291215628726023152006814769424815742629307258254507369979317347493524991515753949479423643122057921939704036091584161152017159334309930072882311099025112312489526342918778640787470313182696458717817011694825943644519249873077276152310235920274942476907752264262134723936432687541819695711183338267567644517805047118394505016680070597780159109994081861691659886461027592245722690639923195184242057368657361715340379466878236052076420914185322042455325456529611811959716720068605190918456858505793152586671911051643331333936314117267521296052012511942114335958515854350703423877842722822359086289769192341094036766691532452226396762018108317480452390465936336483388169410209754468127199053900044780301720923134875613972753002887188778462653289714736754495297356983589294738250472038134018944436543415479480764768071261880661250502317275820865166536110620660823643805269554342609464830710580201048922386390774525934468280837446772820255633837622302559979257674669776623571025093993839583741250412947479515239792195508148535735703633223316853489639409405478296027187406652403454881094414048946288317030414199094288174820674368118768820176620390932017959470948335350712565212844265333016910726494632474183128055707618793507130045525677497530025528585311601737496022829846593778264961881059405601730377007308797406808651909314169188908380006163646628808754961533989689238300922907814051131635489396931617880986325677604226202307951450201790786110688872275489873131986623067813359446942199114003656054967977414272617364754034988931265776012616965942465891046728038441248245072091623077528052660821366673137501412822009654986426673175537441223642086323165132995595718093999814353462767284801905226752724490636557045065702877403670898434593682488665302341836625319050774838876750077418725312580345412201629588530539696301264171729820065052753336805745466235315829493637059207142628606461976930891945737550327406805714655019895701878788326667309934319578645208112119625923164637407389007264536050487205303530513473021083663436978842947256674727727998134588567939089991008248444199513575814293151992311208659053823225530646486302062500836947593440550539074639732435859426195188258230346787542196823494324767690890889085372326965410295419552081151475394680032162731945535519748834739108310270151416304952644978010870950606752530338267111346504063461211468750311363775332740279792148436639310404979026067781656209754610728584218368181431477822989769443944772004413448961824925499843685145481886128186635837417429380664627328540020190951707026389482239898781334688149396941249631061390973713194194285411814839553097180921026987720960571701194054582742610942945887536018065247878274902208801812728711795434674302555339955516059271

Errors (if any) and Timing Info:
Timing:
real	0m10.293s
user	0m10.070s
sys	0m0.220s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Wed Apr  7 01:02:27 2004

Input: bernfrac(3552)

Output: -1599685715699477519670368741553198005122360099845608012952730767717200943190200863082319327561351419291187856309859208367569417830901311450503198605697642658075576098587146927414061469258239956173835241031299573783221521732396719676935665447979649429412411595733709263607453247667258830147535132063868295807285171614795580575603049845259309385513645709783757361451080383355069367920235188940883101612079189411845167033996813433641741441487389987219953759361259540991436452165541353738462406684633964513929667285841576493362708230540746423075342926931139237741317508446169353847751697662387764192755638256336902483767998664108206604537484793394961788149298442718214323261634395011002494577800874422800761202833190748128689505690108242977593259316474807012029195456637465036062791535191985370263305541800867033751501310748328420234643982222059693816864986697637985769481385522332199677143677117547524442259235428714463018768036587284847243165615829124840119439319243192213946194466645159313400221858740036395415934149351948596480148044721712860916535681396289920038013683415921925618496886125549776553424809348018751211665786803301989151751480047184897970760428562584758768131330844795749749500057128924183555069722058292296250744821723779671916017802664354979098557284714906237032885270985578027341171740107930804680572342718244240797581161242142801871273626468565984856010320646249170375844492692908745984078564786794959792306759181972568716118130308010763541739605270967207452286421898007977351330063936629774654618506042742167189610402619337541863662678064326985608024879909898344248261746546029495266834574211915373124209183334258778294973903040021894009862105185340343783152650379859951706154312770297237143101577045279665883063326355607063964298742568828108570697385717586378815962413497586016271139811735534385959709738262468398610938315935951069490768994214556362239967841214973015917981579350177666951063949393300298000669644220970973825876314396901372536338058636293220257400027490058289571539580438213489738684162175847194235940350303527113430616291292562912229089915762575545440370971236631442337430861997222440446620310343277129654509719632444826890762322899593268251378408312594285276714552193450499272163501380983898764011013861884738792724407216075183135532122129107601170113188824077205135420390900648964973600843256684576002007671226614470849690106194919651932949175730710454653731923608877327720535308142453123731974519644346538302484311623858763981239007599683196817740315353808963472049277179241958684094371231813305194613805868730214339991466705968817947470312846146087460570639886755511823917025823116295010621158916204379281020409854986264079488171214254634945338327730115178995131950221686672392728661732519326924200099964935394206423774856040592598887742727168591448049446420592020540506139288190263143489567602326040613532451969007758628347448364220704647489658030705316532700362934763844864170528916116081730110296219059958043284621970158551256188466601197124103048498443174375841062500694447550034770184262873329340116880314897022017876960267465002414651845540842504857507877076545978578939664781557562697255678903238057457222135430432403395839183625787956053132538520371056338723426270981496846972293626395964138944260806973537873877655825407381274428786655625605414861705453786665396240953318382395155136856559185156334557740561809467002285061278099696434235599045624973631329672398966241980092505751619204743986741153163774833013195091388808971713861417393395200378848170083854007917230677883415088447855155322957126045652178107177194827586336265672929072908892783610066672277723496767590686915229024727743001844944708307198926506520523108154570673815573278786215702830947040943737333521287650811562558927455973357374318269058277336985126507978760583040772320278890645283826804552688391165917751949634469131665093214400020008257093791980017659367267564397058965184322004791423726198626306371046448885997097935965717171582570053741678575300478313597740581446685466205545037820579760915148383715059653369217221309454171186381601178369927881750777994463571342051612770982460630953389341396917501059716671854003904385992955105688568601004188363815014063653418809096151567462395339439565900806148605752194821797190186454979464297107693414332844220999655204099223160155428119584005059576486245835389838448564234199424833193504320763063629712063452340168076401273259780291429049966756001383080094814953533562420132326201571634105378302277892324240457195549671981261377874118699148408285037191353826920420378684369221654680739119468187618053468904950989961485839475503540276411095008401676338352866784986131412412863698890320530213564774785891459876968545665935047630584757948832923412701572366597938308484640986670576439882360785398906218186340634240038723205415559896729953609157901058607439081879251133725488178530919610884290931468928377827818424915526744248701254529722380511317851553431114751433814406959333274459596203342908436820816615809792978162645031246483852502994087545481105974782813882522855262573081035983160439988361266120829975191206634706577932735164178423021300985900305649259918745411093146520176929810676779944027468248305214119055378746293371045039347324733186308160215492593183409423875845823738077299507500450763688459836567198890130141138473085059675983579180387727096071332994929054821345845305659514335350576897011423785093078054536723868913462615270063511199518425378294140381429565661245396664843676668800800023147132569557860905761085991444424421717931018989768826652606977901409565318136178639605512162592309638420959805572439476968626352550705607917482850099160274644949068091724971717097809468424669110319694048369069771478302648914229305283300916391063842538533425170779305957265223905543631792518178043221192257225839552526670135539710943885150344707365181628889894902184063416901453850432749572023678886559365534827635285802851492805124405639129372206396278938958373220264309988516841778044476328841089394317890791689937615811903136970955375514891384255440958732094726212672156379594050276430141978787436281736118175368079239400578343793392763250617140299997850015664214278117884715562815247290813206119755166122243891349429414360882284970417654873031359347791271456780343177615524645568139837179601774933372115527714571138413954359786717033611008473120229458612286696710840448453798634492500385258978742934657173247924213815270493269934745738300288455578214265425343133498923793806716518194482415221266669966620147972937191724942220064000313486813339513796079698542729213203615000861992820648160753208632092517687740885535080784295003522311354023885808463411097318258245732197196907737007320097566148573585743103537342369505751024870561179628505732122033356459967836456198428110399320652965878001243058713509363425883202669801535721446958599629687432396793286062573786649807900281828847950601186642353771736153206126876126600954353990333868841987869406767976320004600924965884553332883835953893379773020243918704485276543076422436913161317427496503818553972703180594162304114930136297070469384266657845276663813355347036961643009860672902705645928338226441089348316888214461327756555313052446732075466732170658517834104208599765340436138936402872605299609031112699756644777394557873126180901845047094927911772303756659376070580779951934256856858885111173071589556533633864684132166198879406348922703392112011084379065700004108419383248475727989917044356529580219859306218392017816146731371263459917657778767880715360254565089243372372593181200189482820388003309641647392958476081603616925082026433451355414924534689351066804273924621490372034507640851355413457133388439437673374223683020246574917782262598843982368894600822127071541896595871402050166264319200603398592379110795250301777122411639008536253989120385471708349339162152834613983572709677815579422775713683786735371419315848513345831824532136925617206179715547131593522361701839224797997624792098506758984964068134286544565017987521553201480363148892780969801892868501514447735166145299706958172839752916200703597250551533923704196681841841313972866765682439718814980068772518910166001381105647843631720337132937505772559338050301131999860158269681797229739594700787390268663069630784992128041957935642805466810454842471350796116873/157621898932142190

Errors (if any) and Timing Info:
Timing:
real	0m11.842s
user	0m11.660s
sys	0m0.170s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Wed Apr  7 01:03:44 2004

Input: -157621898932142190*bernfrac(3552)

Output: 1599685715699477519670368741553198005122360099845608012952730767717200943190200863082319327561351419291187856309859208367569417830901311450503198605697642658075576098587146927414061469258239956173835241031299573783221521732396719676935665447979649429412411595733709263607453247667258830147535132063868295807285171614795580575603049845259309385513645709783757361451080383355069367920235188940883101612079189411845167033996813433641741441487389987219953759361259540991436452165541353738462406684633964513929667285841576493362708230540746423075342926931139237741317508446169353847751697662387764192755638256336902483767998664108206604537484793394961788149298442718214323261634395011002494577800874422800761202833190748128689505690108242977593259316474807012029195456637465036062791535191985370263305541800867033751501310748328420234643982222059693816864986697637985769481385522332199677143677117547524442259235428714463018768036587284847243165615829124840119439319243192213946194466645159313400221858740036395415934149351948596480148044721712860916535681396289920038013683415921925618496886125549776553424809348018751211665786803301989151751480047184897970760428562584758768131330844795749749500057128924183555069722058292296250744821723779671916017802664354979098557284714906237032885270985578027341171740107930804680572342718244240797581161242142801871273626468565984856010320646249170375844492692908745984078564786794959792306759181972568716118130308010763541739605270967207452286421898007977351330063936629774654618506042742167189610402619337541863662678064326985608024879909898344248261746546029495266834574211915373124209183334258778294973903040021894009862105185340343783152650379859951706154312770297237143101577045279665883063326355607063964298742568828108570697385717586378815962413497586016271139811735534385959709738262468398610938315935951069490768994214556362239967841214973015917981579350177666951063949393300298000669644220970973825876314396901372536338058636293220257400027490058289571539580438213489738684162175847194235940350303527113430616291292562912229089915762575545440370971236631442337430861997222440446620310343277129654509719632444826890762322899593268251378408312594285276714552193450499272163501380983898764011013861884738792724407216075183135532122129107601170113188824077205135420390900648964973600843256684576002007671226614470849690106194919651932949175730710454653731923608877327720535308142453123731974519644346538302484311623858763981239007599683196817740315353808963472049277179241958684094371231813305194613805868730214339991466705968817947470312846146087460570639886755511823917025823116295010621158916204379281020409854986264079488171214254634945338327730115178995131950221686672392728661732519326924200099964935394206423774856040592598887742727168591448049446420592020540506139288190263143489567602326040613532451969007758628347448364220704647489658030705316532700362934763844864170528916116081730110296219059958043284621970158551256188466601197124103048498443174375841062500694447550034770184262873329340116880314897022017876960267465002414651845540842504857507877076545978578939664781557562697255678903238057457222135430432403395839183625787956053132538520371056338723426270981496846972293626395964138944260806973537873877655825407381274428786655625605414861705453786665396240953318382395155136856559185156334557740561809467002285061278099696434235599045624973631329672398966241980092505751619204743986741153163774833013195091388808971713861417393395200378848170083854007917230677883415088447855155322957126045652178107177194827586336265672929072908892783610066672277723496767590686915229024727743001844944708307198926506520523108154570673815573278786215702830947040943737333521287650811562558927455973357374318269058277336985126507978760583040772320278890645283826804552688391165917751949634469131665093214400020008257093791980017659367267564397058965184322004791423726198626306371046448885997097935965717171582570053741678575300478313597740581446685466205545037820579760915148383715059653369217221309454171186381601178369927881750777994463571342051612770982460630953389341396917501059716671854003904385992955105688568601004188363815014063653418809096151567462395339439565900806148605752194821797190186454979464297107693414332844220999655204099223160155428119584005059576486245835389838448564234199424833193504320763063629712063452340168076401273259780291429049966756001383080094814953533562420132326201571634105378302277892324240457195549671981261377874118699148408285037191353826920420378684369221654680739119468187618053468904950989961485839475503540276411095008401676338352866784986131412412863698890320530213564774785891459876968545665935047630584757948832923412701572366597938308484640986670576439882360785398906218186340634240038723205415559896729953609157901058607439081879251133725488178530919610884290931468928377827818424915526744248701254529722380511317851553431114751433814406959333274459596203342908436820816615809792978162645031246483852502994087545481105974782813882522855262573081035983160439988361266120829975191206634706577932735164178423021300985900305649259918745411093146520176929810676779944027468248305214119055378746293371045039347324733186308160215492593183409423875845823738077299507500450763688459836567198890130141138473085059675983579180387727096071332994929054821345845305659514335350576897011423785093078054536723868913462615270063511199518425378294140381429565661245396664843676668800800023147132569557860905761085991444424421717931018989768826652606977901409565318136178639605512162592309638420959805572439476968626352550705607917482850099160274644949068091724971717097809468424669110319694048369069771478302648914229305283300916391063842538533425170779305957265223905543631792518178043221192257225839552526670135539710943885150344707365181628889894902184063416901453850432749572023678886559365534827635285802851492805124405639129372206396278938958373220264309988516841778044476328841089394317890791689937615811903136970955375514891384255440958732094726212672156379594050276430141978787436281736118175368079239400578343793392763250617140299997850015664214278117884715562815247290813206119755166122243891349429414360882284970417654873031359347791271456780343177615524645568139837179601774933372115527714571138413954359786717033611008473120229458612286696710840448453798634492500385258978742934657173247924213815270493269934745738300288455578214265425343133498923793806716518194482415221266669966620147972937191724942220064000313486813339513796079698542729213203615000861992820648160753208632092517687740885535080784295003522311354023885808463411097318258245732197196907737007320097566148573585743103537342369505751024870561179628505732122033356459967836456198428110399320652965878001243058713509363425883202669801535721446958599629687432396793286062573786649807900281828847950601186642353771736153206126876126600954353990333868841987869406767976320004600924965884553332883835953893379773020243918704485276543076422436913161317427496503818553972703180594162304114930136297070469384266657845276663813355347036961643009860672902705645928338226441089348316888214461327756555313052446732075466732170658517834104208599765340436138936402872605299609031112699756644777394557873126180901845047094927911772303756659376070580779951934256856858885111173071589556533633864684132166198879406348922703392112011084379065700004108419383248475727989917044356529580219859306218392017816146731371263459917657778767880715360254565089243372372593181200189482820388003309641647392958476081603616925082026433451355414924534689351066804273924621490372034507640851355413457133388439437673374223683020246574917782262598843982368894600822127071541896595871402050166264319200603398592379110795250301777122411639008536253989120385471708349339162152834613983572709677815579422775713683786735371419315848513345831824532136925617206179715547131593522361701839224797997624792098506758984964068134286544565017987521553201480363148892780969801892868501514447735166145299706958172839752916200703597250551533923704196681841841313972866765682439718814980068772518910166001381105647843631720337132937505772559338050301131999860158269681797229739594700787390268663069630784992128041957935642805466810454842471350796116873

Errors (if any) and Timing Info:
Timing:
real	0m10.846s
user	0m10.480s
sys	0m0.270s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Wed Apr  7 01:31:03 2004

Input: -157621898932142190*bernfrac(3552)/(37)

Output: 43234749072958851882982938960897243381685408103935351701425155884248674140275699002224846690847335656518590711077275901826200481916251660824410773126963315083123678340193160200380039709682160977671222730575664156303284371145857288565828795891341876470605718803613763881282520207223211625609057623347791778575274908507988664205487833655657010419287721886047496255434604955542415349195545647050894638164302416536355865783697660368695714634794323978917669171925933540309093301771387938877362342827944986862963980698420986307100222447047200623657916944084844263278851579626198752641937774659128761966368601522618986047783747678600178501013102524188156436467525478870657385449578243540607961562185795210831383860356506706180797451084006566961979981526346135460248525855066622596291663113296901899008257886509919831121657047252119465801188708704316049104459099936161777553550960063032423706585868041824984925925281857147649155892880737428303869340968354725408633495114680870647194445044463765227033023209190172849079301333836448553517514722208455700446910308007835676703072524754646638337753679068912879822292144541047330045021264954107814912202163437429674885416988177966453192738671480966209445947489970923879866749244818710709479589776318369511243724396333918354015061749051519919807710026637243982193830813727859585961414668060655156691382736274129780304692607258540131243522179628355956103905207916452594164285534778242156548831329242501857192381900216507122749719061377492093305038429675891279765677403692696612286986649803842356475956827549663293612504812549377989406077835402657952655722879622418790995529032754469543897545495520507521485781163243834973239516356360549831977098658915133829896062507305330733597339920142693672515225036638028755791857907265624555964794208583415643674659824259081520841616533392821242154317250336983746241576106377055932182945789582604384863995708512784213999502144599396404082809443062170216234314708674891184483143632348685744225352936116032979929730472704278096528096768600364587532004383131005249620009467662894957584224088988186817002430155745285011901918141530579522633266540465471363422170549818300801473235665741752078128711429718736979766984008448494196667960870093256737085500037323889155784081455726614561965524519353383327987354652138043274867924022272356895551902456774296350637860628559042594648855979097688401342975843105936538728356100830012287938700638077765614068521841687922263026338368766122656823900314158344972465919124315762076155143658211053066812142626465998883353901925184143383638210969425140928107877478539697782364062509355299661096503780723121941186946643868007973260031322059577818405957023107736867013193816601476620144279127840950783652214870856396551154828695473495322275678377430686329903345266379475475645614668301853822920255308664649203797463224005142247121339664927730827392768972135344827793174280114073098580801568397440987370280079317941753085689970705840046759737735650269136304989782977258142059147745978300651433743201166875022731418937687771622561356331429008901084240008510730324807485412634189254450049879482229861013726407474215637268639588690744937763666997384812363708706362984659551238896854751025839273852392442460982127660169485986401269521449362053084836331373161446969564260968254253547957534774476367713915181228480720686384890630226551220409104231329328549582641636805661270332028683191883687411772947179053341387288443215303837299797452746464993080722733869291211703059326794292134370644903172794464875104004596860919132898126429281488876969058251971814217450058867761545806150982061234403488456997102259731531683181716128853802349060243911560621671484992116410781797473527651571745153346366845372600424400836406511992900905980747319231420511552864144793900493758331819918516932648074610352453305953483530953616940663586172734213993295936066733288245762551351892115056588972432909712628853091812404464441135264633073681043954226244498618540462106377451815448177569020045366900012927394533529228288796383933649670826480024733740100407017658627492467823085707740043275091079131939210216066583009244638182999525962998740252470186959488100450590648754172594404192045636989216329415238243623341984292137733826147632306471339618940706719074383643832356491525810255791813721443630617411378369059570249274598795354583351488096661790427983509147258492816200671167392008669271989992217931144328866929764142156224092677026128540577921083643647392798984327900708150584705550764926429522276769113393234377871929131732937814821845541545712265592443794018496465450126506462688329395082526186620297025986103769608203791254353919145991252387915318513138686821969289159197852167934183102321390807485636369349595881907696160779268200343285739637782116445530837477583147023847588794565032923955152276757803329876096213425133881328591920502903758969709490100688869690024854348224079228889956157508606078798020114829763635938442716522104096038678777065778767755657656066475573063321849643805854481345756166557973817472536554134975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Errors (if any) and Timing Info:
Timing:
real	0m11.368s
user	0m11.070s
sys	0m0.200s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Apr  7 03:38:34 2004

Input: -9177517440215670*bernfrac(3504)/(73*11483*150731867840137

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...(73*11483*150731867840137
                                                                        ^


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Apr  7 03:38:55 2004

Input: -9177517440215670*bernfrac(3504)/(73*11483*150731867840137)

Output: 787097494765578595083442164416822858346597626714859907452822122692549969486703704937585661202205891844310765134971556200470763412605951822796929742732373859041004838846229156524623401482519328161265172432792523373896694758804177242460951269311125297268374625264845119134322095802179935817650080152801903555544265038938062649784218278602520629826340060556859663489009248895437070885497894939700609943638000476102938749378181770212640223773603534745037558620472638395645040609897128012526598308162382483254561599317722729913558768508351575285605659804495779975812858768662869453446690428756984821190575102396720719174413133931956322000934660073676967856133345277977132422803998602910919747314206536860796945930268673813007986123774530890257303672477309107387666960821316295436533420532975042136479078580327806591488042971975443772800676444636723701071378128759002509610028283351213648459240430206571965754473057565386954797989135010683120479432233939757790578974385576052549269791371857230840476135075503329994751549735085601177413690605618704643592824820214591443443557772035796141621378173508386111104647940666062579324643413432579345889087714706456867586571002251194892217041799481083609778993772486035945200275918320955912068963430631781113475946291824606656634053556205788388500945709680380536504510871522506667295196042658659886101561050503744326493846754514814305683143330226393450208015746908388146873659848737983636242428738200054836694317802787817587352683951881953465916379782359115716727948731315135441567401983827742241562181703847301153361998549567380072580282692582642831585061177479604647805800247838756643813220837498786312350454016605971936665966971262811725877304541754720083048150313537796814331891778864553467975265974163783926203255920498505615162980335020650689084626739345195277961202058756761766051267242439863881574842204103651850024179538648426116237750384388896563779291216186866915042132657015974693640023194873992389686799134847843934985127773104098792923387099804282109512118801270135467608872541404666800070329706668831824085950471744026975781413159842948759542690524689587392687714532562064368791316114055390554116374166571187012085706718966081908116275137564043367345122153778851549886010725475495005186542677536526326174910686058820492850891262193255436276365629734374024602858202944668280559537265346827405211095541055540635777259003854982159342750322320168678226970041805006208854254537707420749350847396495895102093323079239354058359068860479067552428785371665382662599151648696199733671816257295312416658176656783648010439489944947922801518173687035185913777860119590211328125006901616546327436144309597603879834558289589841916038882608730685049371073514597302948649004515631977517988770886703536204309742143732009946989829937514848971345455691046539351558127279952398746443394888213506335442083415174110819634966884307966505711945244994344316554226442965741000846569959062500488002183107051168346509882219711126702886315950726946965891031468642191551401464427966410310001091557866173259193648708823894513241514027118011551041262496520758901413725300685486281565656132658865960465257498549871940120642048765815289904438731989887761727173858721556090272112067451771722350704975685872717361889464274099934917404986084775862681528474340953061173279516680943153428810713242258207340613916536371956218493913340359739883003157351223701177887176983617309570638209613578782987150534438354154606761399159183571467850573219357632549241320953209012052866079177705008649191609159845950999578452932185167965159555080706999185356615871806204162135829511323967729469682803218319196948982732792200834078922716785970045400986058620056675061217172545028378918510597442148854485823673905628470100151381336957587330800854019792075884195884665799720386693850086487804180963269798159813628809234802612701983200339859384519648479199051002702728932289435272856405325065692819840249345191608774346587102834673821483889227043064847119694276086845544098888980539051591863572313272309851834619897515912846434871057959358264053567464776652898022485945748195374685600419641924531578451328273718694443096700189396098697938134122949345955017022876558816801149319911173469680084203937802365132484587144082037053347263487347279116557101477092745213292092268935756973646911476933388626455794429419333096456212993117512437760833608674702587736705690149674076768301558760471754807819195876771773464428924055929057725218894950995690124362724888481296655316662543160334570537214565358673488462832913943642965087505483759807773218963766170818129745925968467797199120228573236730392645345616142525654276483178817538353670437051176928565729397351198117597472371465173139517670534999909010293850946379864722901417504125323168393112923972069079827879289732236812277914097007583377108643332331046562139604534153886373150577553848888901872092732384208424383525638379144253512014701683749258147037748918172254619925735361180492188034937095828336681453184039462537992686777066119993645010654141133655467586024113733268217903492557876070590275558540486138368447906251867581125005199107110232197268462310383459994210121856552916808485674263259560386144325274028327507248142360477967143640883079806965886752881597031998936103352550565029224651869485030223265469091903063489696076326212245154967756164199621561171253109799350086631692343181665491390859823933051629800388418973887843846827700143058565513672071406866990906957404591515699818587129404124571555033212285754023382666424362330057183293511330569940656217715865904509958254114469116191217814633326010394513974391849995723021852996984770326336516956035810700876995365829463216369565288680679334940865875811738721165149508434146975172827139565236784238519592175692154303435484315942975640674552470584057668990547314283246943476534297416317600356740902349848993008361376830827526269087683918767262516433128879694364922927512424871093111962800162578857680865008568375033394381285713516751119552399073549046146028702587023208870288233391187128902127281255812247377521720020110725223688978819347608287305369917524240379005757489313455360231083405046912383261357016078678148375089983204972944165723754334948156376215774621426251236024722213239964531718116790999583348388772466386172524873074721130671646095759073193912493420460379951090815015653766999348187446354675736271854572308922319372048811705905890374165684794405378462579645349166399795679102317962355600685953454699882878545783564801226472382788402542289071158098731909827728229188299663025972963775328055425608850673334600107988166093980422157403437651419101955397543810102332251647050851061881105842121105265852772717061742049088907773129472474401421601918517220109993675237335218226881694275389496926127052004093127963122628484091053416228442820646809181526567065596788820498884166572185046613107959278376377394349740439101331949378130280546413140149507846314937169777914251146604943853368566985443560204976569585153713695916605429337167503905633941480738480784856595990710823555845914726735570868780250096932566219058318222745420810855958432154713400321852751202235221545225569066033868659785313854106927632083738585734727310391352640237684239859307926547286721746894606759882640298967594154114019822202888423953483571558310477866429179587334737811953094646643115818341327996608365846124516461305521549427087618100494911740812133655315572962436574119854453568142983195640027030442810485536371885073529982953527697950898089611555109416543770234742295372645408822278094437663433092870191171761475352678094322003789397080611282694681093754973850424192428148121274103969636151723970450096674861009301790092716806521093152319832818375120152556568283094013054928727671237418293093386666847413963415308542745137479325993911226247630506812855373902035427236029907338332255452285949197413208436932099335553155558917790969946998860653109545821839713871845379055103195940034804426671932586592659660572240561282241639011542901846696642974960377444177827084935271423000931330103726148992495518934806294302107977081520734335826516219515939100914342248451484995540131990583968605004133445115856413644071527917936783

Errors (if any) and Timing Info:
Timing:
real	0m10.333s
user	0m10.150s
sys	0m0.180s


************** PARI *****************
Host wwwcache.cankaya.edu.tr. (194.27.200.8)
Time: Wed Apr  7 06:29:34 2004

Input: > Factorization(n);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: >Factorization(n);
                              ^------------------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host genoa.ucc.usyd.edu.au. (129.78.228.114)
Time: Wed Apr  7 07:13:39 2004

Input: rounds:=[100000000000000009000..100000000000000010000];
yr:=1997;
for i in rounds do
    if IsPrime(i*yr-1) then
        if IsPrime(i*yr+1) then
            print i*yr;
        end if;
    end if;
end for;

Output: foriinroundsdo

Errors (if any) and Timing Info:  ***   unexpected character: rounds:=[100000000000000009
                                     ^--------------------

  ***   unexpected character: yr:=1997;
                                 ^------

  ***   unused characters: ifIsPrime(i*yr-1)then
                                            ^----

  ***   unused characters: ifIsPrime(i*yr+1)then
                                            ^----


Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (145.253.130.115)
Time: Wed Apr  7 09:29:34 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host aus-ext-proxy02.amd.com. (163.181.251.10)
Time: Wed Apr  7 15:31:37 2004

Input: 2^10
=


Output: 1024

Errors (if any) and Timing Info:  ***   unexpected character: =
                              ^-


Timing:
real	0m0.107s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host aus-ext-proxy02.amd.com. (163.181.251.10)
Time: Wed Apr  7 15:31:47 2004

Input: 2^10

Output: 1024

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host aus-ext-proxy02.amd.com. (163.181.251.10)
Time: Wed Apr  7 15:31:55 2004

Input: a=2^10

Output: 1024

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host vcook.freeman.tulane.edu. (129.81.165.219)
Time: Wed Apr  7 15:35:05 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Wed Apr  7 17:24:48 2004

Input: bernfrac(3554)

Output: 19477008604797895287739650292678174967471069214761836786361132201893365554705747725625939354037917967331269823711157360837047996750815645044321276903324244690136376925712906427878590923658286398934149872003217703071682406405149171365826708867567365195583574389969324761156760786305785900885655616624153698778784554575217307374097329454546835870434704867567172620982352802062133159952219252887495877437540634819226174358891378021055898566298507071686493752948637544355872882889695230182087325784335840192340525828366278892829856059125580717480741037207836693774586815299850033388182661065770699244311255788615612697131487168496866056487220145635842422153109829110024772805767412445505174179587705459547819416079825647419592822541412364726806938006341686436328835523355234131789012042652621518564240546084823593744424260806558146731275531359500160882100145913060718327802545524122951885420667859143533219487933169263369581981401427225173303472696906583778180007760853401783097375514932457676475093913510922908261744330619905900430952418422979824179276287842183229318196310886478242665053787450908053021383827268266620016822948171599718284869462893908503677527973208218587276862675225318630650606149361436850521962987264163607212453088974410422159493798563934057051724649737055083759096635309895362497679386057130538496398315745414311221299452555127122152443052085055300612892675039402675323968709276267273649316966018623847182460673817195742957857529998137300832346104737968437393985150409380163854494511356381293634600759934696954019754401970152574701137104885273668854180246210087423143788203239515376232308997456902551396517092066767243690897872191252343746003391561866390233254134826812544234718595080649230398985555630842875754406707068987307450748489174072412633713213472285927331957359339390918994842223305056766822223693169599545278194257494267340407394638475609392787907486402329833502546126940844004857865558309206726630027824370688977541945619222420924390478275441323929337728451433220332284056752705022892350819513729035570270095764992439413238607533236912416141832333847122258814545248964969886508283433706592236328339720362669811518680309250295927468727575116382563151396474994493900407024491115235866556775394673489989342231836578201565185344932588114172651505376728504090633117532224692543488738034118142005424082208324312527188333127833050579100771914908455990067871516399490357669482298887672540766130996578412578997844836628496110599130582760233936264852142743695258156642314600248710112913435043254238697100129557123094975046645453442328412278879014772576154187438082259777889062927716403926246936674428144988099557274676522349935271259112557222571079361975413930120897122464524721523400725446662167934851193839413659197574261930974847335352167279002138590105449635284055151136445929593227881429419676044799178341847248103524401509878729893088589905991623955861570254710087218940678732684148857165313573848287680428397289881456955028139327472006270562284890453873953472678478147151969039400634742308036716910522990706030647678813180464870604543432517954826695959284270982782805801667863511936287508637384580869377584605826604954902604970942314735225775661651238001310921121314444985066757518861154974260776353259074759034471389138679715598723350051981543242377216507480753276904136354515943581572483882436460889101036259909597117968560199667821268182699412601242485480847001485469592579117945389988001929982552953813868005064565555347548042440683261507366743312648457909424241756915569290182869469625746247952988574816377882796937442809106528317181653066212089746770265764934023726552933320170677819080437965772933637282523838800643130284932550375403903677464465088695375100026020763650392543597928114418316371411212199054959350968768143717700616163560599972582371919915912111049972375558789762221790261197422931635267447081805268860466191021213191879187465191284804868958315161983153614286568161405992199424081054470861841349095551573238446725401930025696278083624624487891317221835577404532523609575356664838670865601518393143509584745058178804667511446218808914619526140120521986839703601549044013804683380279626539582256572988410538555967616952646476683781306960441961300672596212104936630398615659830615923691520757774082017589563951643902380085404985614773603845011193757027094152696134492198416326611891031343972169973381102665071532672018277357457682592929510581219883945662484102454603477138796645324594065426097162601896093105759382160124637111570888486796364917485309758482465367844581580837324896503561494326165116386401791368880042542919231113463315811480858211346836737910646389494332724142170460344150830894992286386528255676307962457312203494055368994737782297879097708465596669289691314239273908759021456760568508413796289797738218854839093427555737561678238513815783802167383033068923621722227394903530617152740260634514131831202713442459519756948377776186544799042706327398693105354732239891076838875171430461415236513719775019929905988527249473552157791482508341394270616972469288665682615212077673600384268602798779549604990360968009696865096125897023189747394493203977122641238570651229991261658441747159472332791584659506878072789482640564257266271971468692349955256474863464119098024796842418045424231302229727756645244034389894138890238654380564702026092841763179692588453572783202384477882474911929118425230474414692920233457669802191147077735255746940251551886399570618033969371057508719245521154626659809043192456526629583017617978942207788466581828619196784305555000325911620670263383799575915656656460045140788994170756491038536343959139629163077825907131848344133226033621222720070282210108185520167867348220068568902082821100820816681647455910865456009017723368828599057246204125532851871229066479107141901919175994481346095528081764269909516197797818692050852146776590248939147344846967045362627630019042528567448794896956112613909488509325433993469646090896126688974909054945646548205970885073535081679555865348704360388901643066217685583907547291512563250823121579969130422536657342544069424909330626575033690069717027952503264970969341793241774516126581231250942739501353862169541030875621410128924230125000643124403402026892424576853248401702196849985124391191286303034371852989640363032593777368488492472285312948742620525101740299654102198465357385990429051498282108763114265042762279204514357935365637971813226308825624011227474820908105449337589834987884388427733062416115718932080763828145451955513631570725944021484907815062226369852080681161719647636688433796111308989850059430943213850358966228568519764064788413514379324934402392363159373754892280843156774874339574997117504568777429318463216793859283738329311664859563018352405363880619890238034741280930070352506612126895186456167370061089409971931726120273493445024449347870022534249695420274451985988147476106624267335715264199928057812991103164421925422824588618803960546574107246096662335038363356652601268898822465979013410831895993644913139490642298938752791032299180523761864214247306648450345398832232435294998203679597727111864136451345633328574372966867479033356670179897357676614223976617688820716264504448662928979026281159269712742466087019346019615799186321799077587819380646564453754287539693580483216544149708120050691053558569181955867743634925747507171751044776455577423200482700268699454994779979623506439488900902691120168925303779649292054291501756434505805447516526160635742517599141921384701949268397398408817789101918833469528220991695533901686916834157356917486457016156805840711913415445195772094582434308146316127223021107253912545330490286422356179126734470439435198319691365690825863275666790245715701362572553784894778819737085262532727478749071593326266200707659138948701313019898990631950840154246258956131077035082826388861904953730317753123793991964301439559754947277334213427898477220655869291283093934480143943404448938147120360815947048832387262252408981678863826459226453772849777285605192184284881314251143975893171116538371429889891793947354626013959688415225947447684339126338091612201859038962292146662822402595005369457986367939594173546155519697514527652405871875312481353068354692836773170403748467340937774899988479489458193470713137828157482517843224574963915157384003466058065727/6

Errors (if any) and Timing Info:
Timing:
real	0m10.647s
user	0m10.510s
sys	0m0.120s


************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Apr  7 21:49:18 2004

Input: 6*bernfrac(3506)/(263*1753*4617709)

Output: 9506350869738916494324263033681240268774878800615362333177731844628524841454392689112549515083976478259028643297035630562200460621338722414085685194682539366573627516454457672517806485579172541454866042402457734895152262473358869591076615075007406113728453130741230624874748024596603518984317262401074519547909478245271369529502707908661017490502306048850606441853587012702739635784902849408731135003883747018959111895440088589490261269043891056981447181553651323630067228054269325200090870652931187901160020095589550753919666898785170622064177345357019749911713919500109119774128523816354040187936285033466750426402803292021349481379453831059779752026542912563400728301108527444765627240327554264378872596722283459739937520671413245071272434016840777177724342903575345649977154217257158114633448335742907714081101386813814251699416683328097268502001439993179160856604825075632654139858439783919489963667275245516059354104062635573448249166659507387888350780269589409785393504713578344475224715560897310656713074472295398647987027116781422156861609103489369892616659762641291957995984436541170552567351049687374432778646485170048991752469393110583340344053097809459817917408842719010017321078147056243031558387670264334765774975329186366056748068991060331303243401810187957142324651716623858973015893730993916232263800483528661471825382661651301760270291371450163155255628686211169730438501023669858286018668290195152963772118945511392348621257684637379088803013225646784331967345075657191059324529277819820891883634236571408375217372366159205079203016380626886066023826221345676020575777355719799922828263151832784558643639922366961293900601714933162487326393601302706434586718240264713695725508635627923721222633569483257769564189277658417473707998075019345621680406888437654302488472686191740457707273547959516139039663236466824235975152519551375632665332503900669829456917356237850876806397879269077610842262207896720904096743775650742869041519697001429273119206951663972169758255118517767240274423563756745452098983188921958146995970614324531276083943244827009735480683985587705098410223473899032564271600941522495183923566730739546557320247478472926047599864418005744885385685715434179409697787874124472007902173250447759984853232437891326271768891700532359062523029240352831933997051491509639892058335283689825115898655552206771233657315641878519980116232517957919274649281740744732512540650157375391225430238743312115461083625988677846417751703000805003666438186281733861080195785876719056485701772394491742695615612107853630560677928556731521891301678500316378396287254991982981991383346208027740446795193902915404402464983426235170889176054104028747320283255228003139918591059125274225562357076203703487140783405629413905476310897361189083528013166982258666297061494448237977363962085029551378276820876359217962510938705277025805740380881282188386833291045158029082434485487544684082294470810515740696280511189385948496788254449580483335794692110097065610442071875028877749664527358969840822928101085567301251311270661671130184947522476889492088575499579838216679796649046659190443677121247080624678779876824480929854312016692097616421949512445834807095818256940782592899807941232728202567253233677143017780422142885648504057966361184576402001607139927729271598292697614462642244120655013668213096419119625815420928478339625137212610397125547588002871026043819900541833088307274385592630394480846969734968856518480472341087101916947696593623150969559432808028802216175594756537519011998647023246658237508587797050448637910350225962969751834869341410067823181302212251020003636722738275460794873434172390180749630551923296078215598234157784995272971900230090419308163462240364141776618318043199665930308389739398103512078665512699208667358721560821342984730024231155261496107347186278200385187959925144477134860405428026976059716152637624738923596395638884666087867148596860183797853446296768892889278122388299029072277962016345608568583620540415471988733035265934635756816735029862838582673613065087046375557055206010676695799012248955143285627300845128966666868650121912166044017182860607495625679796484169488738127196498719304302925874622528101652116473009788463446957544617680933110388247861653572339570342137292765040455229223290581767483208578226724850440575699339966060008511396742903350235325943074918536821713784002080405988809614617449809698538597923124489482097810838753287175190835918189001055768449140478789671695031978680878507705577809274096687620027703287921789852053930660287375932924488416883606841829397803160740702875198868721419341893106690229431663315878237372692879732712127391111856589373076741933594408794295243807762324881821273672311757269290699837251570263187413420745267255292254634446372724804818521088387062511179471823990342409468955555086155369627412182049284141527383477055444014750263929738696864856597890379872317506751114664556698674011052046264440876537829749053222184770955727626480841734048649864414004253465210534183016491320363376098655399606408334499939469273548756102896216506975942947958667093565756362856660374801196318238731249377306215082565467786663595514354194624975357601078340191477543436814841497638549785182130606738402942084077272684923862727441562270751671032293882755469124101194026979213482900954935931918346522989682555169677468506586754121873917279255749007382225477665146859120663655553852982085894982006763308633094040633389120335127568833741472809255918250949572435639352876477876371205674064344838006152104952602667711630309087541956291531427679586012013609373756363054860516031385135430822549978481042158402552643288853479118351547070721669720958840580897185510987709817939411002174375076491501372605435913199231315768420304086600404688852683511347392590168513786486794490445913256543845501022236537062055860816275182827611684808502755776254285939949287852374022051482934054112190399186882275263888662273041979436886553457951749433835804651824421397196569072691135283099497237918120346313799859813005333088887821797910905039964057510295726367509076834555626221936243000727406312605027422277381313259346278013222075654946220187359681271245097018618252860599606787520791132589347468263344496671631263276880925206106371402596806842217075344673600545357235621734996886959015762298379600872270537244531767636120683032288535116509455851518901932931149353521657850128918489002562207706316913810723412915013686794620037442395649679809238787226688934111356174114175151340997100078069860429304547204867396226004221255322121778342042760750748443545314933960121997777713500989031441261802620099606127052603478707565992636227007815870756523019206451536259995829345093348118442209609393940797495379146637431528310637028643530545527069367859086349307475046841016256410635560363099150085538746090489434493437180137572521604802636512908299847989890706469841343755384019090321160753823021585085203743871774973271333011339312303082430020896320184635255793833582354635189611436643423251835231860802749464977114678252655012545447829387415142178744795212603982966533374303518741435458504021212931967593695217705051672085403121433953836057629381886300257651459243794360995601317390878849997230406329569720608240021499447930808546005663626830755688436794326125441926180324110428908934312516162285142766654008173165136418017376622027505270393269682872882971193814967057674503108778968329870347942817035622815360916081613415621395118797510972436288029220047189549483604227296589553882574442621602624239710600229265377744246394965731694266503227086645065297482497565536215027283559185688854599247987000368345932018345500616878625612259968136974679213936080491054563738650315271119883418614498696207992366737703439586089775159281740649499648057758156360019482772630073472694594305321922880136458088605575378083147988454399100913830576825734684667509232234354334391134925320495550071407106543502574304548916150216055492908302187363914082161159183274142698960119722187695467307441181850407778519817398222753733319809125837032407765246436496403892596257077566704390633865439714140647757705752970624613400981822700983643905754194222502873604697061376872693

Errors (if any) and Timing Info:
Timing:
real	0m10.980s
user	0m9.660s
sys	0m0.290s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Thu Apr  8 02:36:13 2004

Input: 6*bernfrac(3554)

Output: 19477008604797895287739650292678174967471069214761836786361132201893365554705747725625939354037917967331269823711157360837047996750815645044321276903324244690136376925712906427878590923658286398934149872003217703071682406405149171365826708867567365195583574389969324761156760786305785900885655616624153698778784554575217307374097329454546835870434704867567172620982352802062133159952219252887495877437540634819226174358891378021055898566298507071686493752948637544355872882889695230182087325784335840192340525828366278892829856059125580717480741037207836693774586815299850033388182661065770699244311255788615612697131487168496866056487220145635842422153109829110024772805767412445505174179587705459547819416079825647419592822541412364726806938006341686436328835523355234131789012042652621518564240546084823593744424260806558146731275531359500160882100145913060718327802545524122951885420667859143533219487933169263369581981401427225173303472696906583778180007760853401783097375514932457676475093913510922908261744330619905900430952418422979824179276287842183229318196310886478242665053787450908053021383827268266620016822948171599718284869462893908503677527973208218587276862675225318630650606149361436850521962987264163607212453088974410422159493798563934057051724649737055083759096635309895362497679386057130538496398315745414311221299452555127122152443052085055300612892675039402675323968709276267273649316966018623847182460673817195742957857529998137300832346104737968437393985150409380163854494511356381293634600759934696954019754401970152574701137104885273668854180246210087423143788203239515376232308997456902551396517092066767243690897872191252343746003391561866390233254134826812544234718595080649230398985555630842875754406707068987307450748489174072412633713213472285927331957359339390918994842223305056766822223693169599545278194257494267340407394638475609392787907486402329833502546126940844004857865558309206726630027824370688977541945619222420924390478275441323929337728451433220332284056752705022892350819513729035570270095764992439413238607533236912416141832333847122258814545248964969886508283433706592236328339720362669811518680309250295927468727575116382563151396474994493900407024491115235866556775394673489989342231836578201565185344932588114172651505376728504090633117532224692543488738034118142005424082208324312527188333127833050579100771914908455990067871516399490357669482298887672540766130996578412578997844836628496110599130582760233936264852142743695258156642314600248710112913435043254238697100129557123094975046645453442328412278879014772576154187438082259777889062927716403926246936674428144988099557274676522349935271259112557222571079361975413930120897122464524721523400725446662167934851193839413659197574261930974847335352167279002138590105449635284055151136445929593227881429419676044799178341847248103524401509878729893088589905991623955861570254710087218940678732684148857165313573848287680428397289881456955028139327472006270562284890453873953472678478147151969039400634742308036716910522990706030647678813180464870604543432517954826695959284270982782805801667863511936287508637384580869377584605826604954902604970942314735225775661651238001310921121314444985066757518861154974260776353259074759034471389138679715598723350051981543242377216507480753276904136354515943581572483882436460889101036259909597117968560199667821268182699412601242485480847001485469592579117945389988001929982552953813868005064565555347548042440683261507366743312648457909424241756915569290182869469625746247952988574816377882796937442809106528317181653066212089746770265764934023726552933320170677819080437965772933637282523838800643130284932550375403903677464465088695375100026020763650392543597928114418316371411212199054959350968768143717700616163560599972582371919915912111049972375558789762221790261197422931635267447081805268860466191021213191879187465191284804868958315161983153614286568161405992199424081054470861841349095551573238446725401930025696278083624624487891317221835577404532523609575356664838670865601518393143509584745058178804667511446218808914619526140120521986839703601549044013804683380279626539582256572988410538555967616952646476683781306960441961300672596212104936630398615659830615923691520757774082017589563951643902380085404985614773603845011193757027094152696134492198416326611891031343972169973381102665071532672018277357457682592929510581219883945662484102454603477138796645324594065426097162601896093105759382160124637111570888486796364917485309758482465367844581580837324896503561494326165116386401791368880042542919231113463315811480858211346836737910646389494332724142170460344150830894992286386528255676307962457312203494055368994737782297879097708465596669289691314239273908759021456760568508413796289797738218854839093427555737561678238513815783802167383033068923621722227394903530617152740260634514131831202713442459519756948377776186544799042706327398693105354732239891076838875171430461415236513719775019929905988527249473552157791482508341394270616972469288665682615212077673600384268602798779549604990360968009696865096125897023189747394493203977122641238570651229991261658441747159472332791584659506878072789482640564257266271971468692349955256474863464119098024796842418045424231302229727756645244034389894138890238654380564702026092841763179692588453572783202384477882474911929118425230474414692920233457669802191147077735255746940251551886399570618033969371057508719245521154626659809043192456526629583017617978942207788466581828619196784305555000325911620670263383799575915656656460045140788994170756491038536343959139629163077825907131848344133226033621222720070282210108185520167867348220068568902082821100820816681647455910865456009017723368828599057246204125532851871229066479107141901919175994481346095528081764269909516197797818692050852146776590248939147344846967045362627630019042528567448794896956112613909488509325433993469646090896126688974909054945646548205970885073535081679555865348704360388901643066217685583907547291512563250823121579969130422536657342544069424909330626575033690069717027952503264970969341793241774516126581231250942739501353862169541030875621410128924230125000643124403402026892424576853248401702196849985124391191286303034371852989640363032593777368488492472285312948742620525101740299654102198465357385990429051498282108763114265042762279204514357935365637971813226308825624011227474820908105449337589834987884388427733062416115718932080763828145451955513631570725944021484907815062226369852080681161719647636688433796111308989850059430943213850358966228568519764064788413514379324934402392363159373754892280843156774874339574997117504568777429318463216793859283738329311664859563018352405363880619890238034741280930070352506612126895186456167370061089409971931726120273493445024449347870022534249695420274451985988147476106624267335715264199928057812991103164421925422824588618803960546574107246096662335038363356652601268898822465979013410831895993644913139490642298938752791032299180523761864214247306648450345398832232435294998203679597727111864136451345633328574372966867479033356670179897357676614223976617688820716264504448662928979026281159269712742466087019346019615799186321799077587819380646564453754287539693580483216544149708120050691053558569181955867743634925747507171751044776455577423200482700268699454994779979623506439488900902691120168925303779649292054291501756434505805447516526160635742517599141921384701949268397398408817789101918833469528220991695533901686916834157356917486457016156805840711913415445195772094582434308146316127223021107253912545330490286422356179126734470439435198319691365690825863275666790245715701362572553784894778819737085262532727478749071593326266200707659138948701313019898990631950840154246258956131077035082826388861904953730317753123793991964301439559754947277334213427898477220655869291283093934480143943404448938147120360815947048832387262252408981678863826459226453772849777285605192184284881314251143975893171116538371429889891793947354626013959688415225947447684339126338091612201859038962292146662822402595005369457986367939594173546155519697514527652405871875312481353068354692836773170403748467340937774899988479489458193470713137828157482517843224574963915157384003466058065727

Errors (if any) and Timing Info:
Timing:
real	0m11.535s
user	0m10.740s
sys	0m0.430s


************** PARI *****************
Host pxy-1b.kyoto-u.ac.jp. (130.54.130.68)
Time: Thu Apr  8 02:45:53 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host sjcd-webcache-3.cisco.com. (128.107.253.39)
Time: Thu Apr  8 03:33:24 2004

Input: 6*bernfrac(3554)/(1777*5861)

Output: 1870092579459974428004122352860800148811475338376173971664238808891962768179937807531383768429114090703172533195271910384328290901170268704284915003175156429726900250255752011054692663248802318323677853388072766902542785792943499778811910254757381609959520333032196241742245416518678392407185102081561204365088588558903791078777778760238417339000165325786188188146607512422916027719664177808932242365268145043078377685456018664341036158368409234461276729407472469205307777130391418277133188399798467555232183535757742310711165452964180471437556922695977415430324830175164720007906162725324904005667140930392549579911687652766185727800710854322458510756470676766399910898271733774431732834833049443945861858249198309650938240552677294551962611031605835934117776080334467127718712933153280938877297856743004687734852373054601758092803630318808556630606820713732391697069384227774904964967408810501196804904306085663142253615762100289147784053389252688577652015431291377403478596826761683913732773414482109107497750055100342890202556219499917265859920678598580799333710447625330880331991817899794695382186267290165001489373731761190110595794647170220836710517340831516186445071724478203750865276883839854860305957168039910487464610223985125528327996042491796594569515924943334605258080884258525985412927088318616946168721730380278968032472736435269940274821303557269896536013661361534974549101522475356188163022703320857782981834817025602191047953017173037812764837676356312770651204714740616839722036838931051184521186204848133605225210761171621324010092091710182313912733747903152293096559528844752943878170007870084124978290161011737904839617128280618068708613491829317511107612813986102208597344636304806350918678666506657935259549926617260408951701905355716608716614437188247478835755532079307456257053384010101660789938172154019779869182320215192317425285349431748217765968390235957805220927680242331707331059774506819994919828380591054320758992596850716416374433739677632545581888161027143870736021983751413744271920530916046886069203453922496512791948719067025407318104108320638235307657337679979157604009241069065333031621585715547475579559006041988867348567414384889651254954415732860403167377243710702544278867809052032371141559794647871868343826208743806087764740150835233470603315347303959141177739948856263905349572564286318328002238803125248195376414598574388066560928583695174406451531603790925003700541728104041948259595738398051973572256485792577178492211965374900756875555731278679073082105874350540306319540959018723010191462047032125148803430176601565279006243346789467128784488649177374119862630462056604047807172414420908844230610076902812091311315726924877071987720891562861201162458397774542053918484200604130146095824536668707139074101717674906880778756388468982185511060295641908800154376368968329496319426865629255920515532542038167950369059731042069033872045734635086207003106451605205182998475549084428966076254259262576362541374469143512049238697855973837867901304066352776581635178074684806603104208574491767078538650868595052941882117922641247683120723344517793217396190115418366062660280880021460340083113401434964878300490239441714215162583498702688182331797245303573785643675064059545505464509808219316725148493959112970997372668475274792997288162109646383314071442973484864525796069253062335100922356123569656056354942800239675658877549308233237367757364404568284522077070012155547236540728965447979857123824861932782846508975536263861369018475247612448608889830397029330894945958181816686836586565969858453420287825604664747221452070803881373153229930432522834497845072189667522498477958079658873990773355368110105373077393354061974660547426414533647525304138447736821277293080154330761527475371448709880085356814674852399640692759062782252609613994119817039894487955739093324964163720949456147864014502076362121742374596077292503481199991242559628665179482544448467302898557547487146870942361390451755467749927873390000827338250978855365611539170354488617838029318258795900999645950484351060175136450017066077264312677676064506275663012309922788707430846127034120781763413042658006891858286687900778039807075603421732964106241888753926350989952945780201501802890218029341403593166244774781588865702098404260895859073598546778494519528424791171193217339495513731506034298054477807186725700630641693317066723435551893588786695955675969705769727339288775716390887646197507541730782749029754432439497143023388542684754792129021463964381085426226093660551694588611956247559684159734427272261806364760498186045095969437321140743491576898124033397543543361640738960062757378676766733042047361335817988632241650668961919674893394237940006829786268210674376069218483488674812721078716517123462852584010226697276702102603429823003290134238046812600467149029189511839371035419770372222193925636620127900890888737713237242436136516806661701651324763657613818648029969336025640977748471621557390245262662204976043216472406224911683961097158254573283941152308882293273006464460949366631307956141385895993557374781154558591673410830511963180628949582001498905484648437554974561633882753602583009728245839148226510141265250433805481805194903741025829338466498286774952692878230531411123447742084238631852202822758186624943944028954377677232555553294363780444550716679486516039595763991069088973676399830204893758728390601468096940447934329018072060670761805418386364898208510309849526255223176543782909496518214959209412602486569035324009841445905651016316081724055078132219204594757377803853455350166751873609161824618447480729955576635211145116651597550757235853224841358843013313575447418105452514410010878570796526219404592038514098474398879047475587445758907241879753865071301414462564783129467751762590573271588194318872977797487787963452556092536131127235492233892741188290183093749537016341939314927056133282327912588705500255307665230128716979574032897896034854876481814603123831540872164908838182636687097074620863888398784901797412779318168685179944479838600424709415808047112334561553879384739384625587750440007319188918304540432423525136680548565205632737272343119687516624462902000138790376402621099269723805144651402610113569945639389373038407252981143753416511036618636099884732687518108202225405311241379387221846390209471235115377252880680148226667722909780815621683423473770707594261310215861324085093755141202434850978638958151049762724272626048266831772054215434707757273899207818596819194063995609481580085472127885743180792653518909790162691571238076408536763065764458375593751597941793919869533418321085484610915256962605372309604459259981057546381661287024255013446556264660937909014759881112262324936754034899558190874537777525203786382561449840586980545447131481146012901402693875630701275783992656682480185967405648962368426365696027031918287640652632899982618761386680010323200921158914948824680403466060815101834827405655788915601109050780002539342651434497296385525281726079124057593677560676285542472421731195841020626212254577800867266742732798119312689830678813003866658092680679428297444322558313184002966648317668682282564985763640322717317859782063712930173449768705287625569999005182529220234942910952587512701093050686025083475472828037091069795465563144596924962492114324809133378350473907102763310366959862565839906218648663245034518632658024116615943362124775935584040938610586204576045743567681193312276484505185579170282663980201381480621277244318218968199599230292812304064744176961144501714098762537158771307906656304069682800422978277041944050181276164737581340176648355691550780873611017576195279485333749527771374914688518789466235126081668417157620466988695558497692341698773543820757104864723323466832036776652694066937474233191445058280779048587466037666548596408701812803811557135453522942236698566682731999857297426374101880615178243426757326702466974104599091162087640666924237662300233346629762653519762013944607841210829177618484352790867482652799014041941374117072927076683873672853095962790110888977829747804228263085877606489919144021447864813051710561039202623088517352649467557486805094135444250054644080991494625121401350141006056209701440654517841250300378659424786238896513109023245508374940433440181833054117809938637766083199503078485299360528233091

Errors (if any) and Timing Info:
Timing:
real	0m11.452s
user	0m9.990s
sys	0m0.200s


************** PARI *****************
Host txplano-nat209.nextlink.net. (205.158.160.209)
Time: Thu Apr  8 08:46:59 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host txplano-nat209.nextlink.net. (205.158.160.209)
Time: Thu Apr  8 08:47:07 2004

Input: 5*6

Output: 30

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host vv822.math.wisc.edu. (144.92.166.218)
Time: Thu Apr  8 12:43:02 2004

Input: quadclassunit(quaddisc(-163))

Output: [1, [], [], 1, 1.000493297990628466]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host vv822.math.wisc.edu. (144.92.166.218)
Time: Thu Apr  8 12:43:18 2004

Input: quadclassunit(quaddisc(-1111926))

Output: [864, [24, 6, 6], [Qfb(10, 4, 111193), Qfb(755, -454, 1541), Qfb(190, -176, 5893)], 1, 0.9994947790567306503]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host vv822.math.wisc.edu. (144.92.166.218)
Time: Thu Apr  8 12:43:50 2004

Input: quadclassunit(quaddisc(-100000000000000000001))

Output: [14849576832, [1856197104, 2, 2, 2], [Qfb(3633532059, 1219979180, 27623834239), Qfb(229655977, 0, 435433909913), Qfb(10001, 0, 9999000099990001), Qfb(137, 0, 729927007299270073)], 1, 0.9959800927135679830]

Errors (if any) and Timing Info:
Timing:
real	0m0.491s
user	0m0.470s
sys	0m0.020s


************** PARI *****************
Host vv822.math.wisc.edu. (144.92.166.218)
Time: Thu Apr  8 12:44:08 2004

Input: quadclassunit(quaddisc(-10000000000000000000000001))

Output: [2990443065024, [186902691564, 2, 2, 2, 2], [Qfb(3, 2, 3333333333333333333333334), Qfb(45918641, 0, 217776479926746961), Qfb(9091, 0, 1099989000109998900011), Qfb(505105051, 0, 19797861811522451), Qfb(13945811, 0, 717061202105779291)], 1, 1.005863642110287006]

Errors (if any) and Timing Info:
Timing:
real	0m10.248s
user	0m10.120s
sys	0m0.090s


************** PARI *****************
Host vv822.math.wisc.edu. (144.92.166.218)
Time: Thu Apr  8 12:44:35 2004

Input: galois(x^6+2)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: galois(x^6+2)
                           ^-------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: galois(x) ===> polgalois(x)

polgalois(x): Galois group of the polynomial x (see manual for group coding).



Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host vv822.math.wisc.edu. (144.92.166.218)
Time: Thu Apr  8 12:44:44 2004

Input: polgalois(x^6+2)

Output: [12, -1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.114s
user	0m0.090s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Thu Apr  8 16:35:33 2004

Input: (x-1)^9-(x^9-1)

Output: -9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:41:23 2004

Input: isprime(2^127-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.193s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:41:42 2004

Input: isprime(2^125-1)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:46:06 2004

Input: isprime(2^521-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.136s
user	0m0.090s
sys	0m0.050s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:46:35 2004

Input: isprime(2^1279-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.697s
user	0m0.670s
sys	0m0.020s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:46:54 2004

Input: isprime(2^1281-1)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.118s
user	0m0.090s
sys	0m0.030s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:47:38 2004

Input: isprime(2^4423-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m20.605s
user	0m20.400s
sys	0m0.160s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:48:32 2004

Input: isprime(2^2281-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m3.250s
user	0m3.200s
sys	0m0.050s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:49:10 2004

Input: isprime(2^3217-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m8.489s
user	0m8.450s
sys	0m0.040s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:49:26 2004

Input: isprime(2^3219-1)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.904s
user	0m0.900s
sys	0m0.010s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:50:20 2004

Input: isprime(2^4423-1)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m20.681s
user	0m20.430s
sys	0m0.110s


************** PARI *****************
Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170)
Time: Thu Apr  8 19:51:09 2004

Input: isprime(2^9941-1)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.043s
user	0m20.900s
sys	0m0.110s


************** PARI *****************
Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160)
Time: Fri Apr  9 10:19:24 2004

Input: (x-1)^121-(x^121-1)

Output: -121*x^120 + 7260*x^119 - 287980*x^118 + 8495410*x^117 - 198792594*x^116 + 3843323484*x^115 - 63140314380*x^114 + 899749479915*x^113 - 11296854581155*x^112 + 126524771308936*x^111 - 1276749965026536*x^110 + 11703541346076580*x^109 - 98129692824795940*x^108 + 757000487505568680*x^107 - 5399936810873056584*x^106 + 35774581372033999869*x^105 - 220960649650798234485*x^104 + 1276661531315723132580*x^103 - 6920849353974709613460*x^102 + 35296331705271019028646*x^101 - 169758547725351091518726*x^100 + 771629762387959506903300*x^99 - 3321362890278608312322900*x^98 + 13562231801970983941985175*x^97 - 52621459391647417694902479*x^96 + 194294619292236619181178384*x^95 - 683629216028239956378220240*x^94 + 2295040939523376996412596520*x^93 - 7359958875023243471254188840*x^92 + 22570540550071279978512845776*x^91 - 66255457743757628324021579536*x^90 + 186343474904318329661310692445*x^89 - 502562705044979737571413685685*x^88 + 1300750530704653438420129539420*x^87 - 3233294176322995689787179140844*x^86 + 7723980532327156370047150169794*x^85 - 17744279601292115985243453092770*x^84 + 39224197013382572177906580520860*x^83 - 83477137233609063865801184185420*x^82 + 171128131328898580924892427580111*x^81 - 338082405796116708656494795950951*x^80 + 643966487230698492679037706573240*x^79 - 1183101220726166998177766949285720*x^78 + 2097315800378205133133314137370140*x^77 - 3588740369536039894472559746166684*x^76 + 5929223219233457216954663928449304*x^75 - 9461526413670410452587229673057400*x^74 + 14586519887741882781071979079296825*x^73 - 21730937791941988633025601485483025*x^72 + 31292550420396463631556866139095556*x^71 - 43564138820551939565500735213250676*x^70 + 58644033027666072492020220479375910*x^69 - 76347892054886018904705570058055430*x^68 + 96141789995041653435555162295329060*x^67 - 117118180539414377821494470432491764*x^66 + 138032141350024088146761340152579579*x^65 - 157405073469325714553324335261713555*x^64 + 173688356931669753989875128564649440*x^63 - 185463838757545669514612425416490080*x^62 + 191645966716130525165099506263706416*x^61 - 191645966716130525165099506263706416*x^60 + 185463838757545669514612425416490080*x^59 - 173688356931669753989875128564649440*x^58 + 157405073469325714553324335261713555*x^57 - 138032141350024088146761340152579579*x^56 + 117118180539414377821494470432491764*x^55 - 96141789995041653435555162295329060*x^54 + 76347892054886018904705570058055430*x^53 - 58644033027666072492020220479375910*x^52 + 43564138820551939565500735213250676*x^51 - 31292550420396463631556866139095556*x^50 + 21730937791941988633025601485483025*x^49 - 14586519887741882781071979079296825*x^48 + 9461526413670410452587229673057400*x^47 - 5929223219233457216954663928449304*x^46 + 3588740369536039894472559746166684*x^45 - 2097315800378205133133314137370140*x^44 + 1183101220726166998177766949285720*x^43 - 643966487230698492679037706573240*x^42 + 338082405796116708656494795950951*x^41 - 171128131328898580924892427580111*x^40 + 83477137233609063865801184185420*x^39 - 39224197013382572177906580520860*x^38 + 17744279601292115985243453092770*x^37 - 7723980532327156370047150169794*x^36 + 3233294176322995689787179140844*x^35 - 1300750530704653438420129539420*x^34 + 502562705044979737571413685685*x^33 - 186343474904318329661310692445*x^32 + 66255457743757628324021579536*x^31 - 22570540550071279978512845776*x^30 + 7359958875023243471254188840*x^29 - 2295040939523376996412596520*x^28 + 683629216028239956378220240*x^27 - 194294619292236619181178384*x^26 + 52621459391647417694902479*x^25 - 13562231801970983941985175*x^24 + 3321362890278608312322900*x^23 - 771629762387959506903300*x^22 + 169758547725351091518726*x^21 - 35296331705271019028646*x^20 + 6920849353974709613460*x^19 - 1276661531315723132580*x^18 + 220960649650798234485*x^17 - 35774581372033999869*x^16 + 5399936810873056584*x^15 - 757000487505568680*x^14 + 98129692824795940*x^13 - 11703541346076580*x^12 + 1276749965026536*x^11 - 126524771308936*x^10 + 11296854581155*x^9 - 899749479915*x^8 + 63140314380*x^7 - 3843323484*x^6 + 198792594*x^5 - 8495410*x^4 + 287980*x^3 - 7260*x^2 + 121*x

Errors (if any) and Timing Info:
Timing:
real	0m0.274s
user	0m0.060s
sys	0m0.040s


************** PARI *****************
Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160)
Time: Fri Apr  9 10:19:38 2004

Input: Mod[ (x-1)^121-(x^121-1) , x^3-1 ]

Output: 
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: Mod[(x-1)^121-(x^121-1)
                                               ^--------------------


Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160)
Time: Fri Apr  9 10:19:50 2004

Input: Mod( (x-1)^121-(x^121-1) , x^3-1 )

Output: Mod(42391158275216203514294433200*x - 42391158275216203514294433200, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160)
Time: Fri Apr  9 10:20:33 2004

Input: mod( 42391158275216203514294433200 , 3 )

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(4239115827521620
                           ^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: mod(x,y) ===> Mod(x,y)

Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 
0: default, creates on the Pari stack, or 1: creates a permanent object on the 
heap.



Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160)
Time: Fri Apr  9 10:20:43 2004

Input: Mod( 42391158275216203514294433200 , 3 )

Output: Mod(2, 3)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160)
Time: Fri Apr  9 10:21:03 2004

Input: Mod( 42391158275216203514294433200, 3 )

Output: Mod(2, 3)

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host carens.lip6.fr. (132.227.66.11)
Time: Fri Apr  9 11:11:33 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 2(SERVFAIL) (202.113.25.81)
Time: Sat Apr 10 22:39:38 2004

Input: SetVerbose("Factorization", true);
SetVerbose("MPQS", true);
n := 1745264755423825474573924809951949066708882319246693921995410289;
time Factorization(n);

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: SetVerbose("Factoriz
                                                        ^--------------------

  ***   unknown function or error in formal parameters: SetVerbose("MPQS",tr
                                                        ^--------------------

  ***   unexpected character: n:=1745264755423825474
                                ^--------------------

  ***   expected character: '=' instead of: timeFactorization(n);
                                                                ^-


Timing:
real	0m0.083s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (193.194.89.11)
Time: Sun Apr 11 07:51:50 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.266s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:02:54 2004

Input: bin(256)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: bin(256)
                           ^--------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: bin(x,y) ===> binomial(x,y)

binomial(x,y): binomial coefficient x*(x-1)...*(x-y+1)/y! defined for y in Z 
and any x.



Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:03:44 2004

Input: binary(256)

Output: [1, 0, 0, 0, 0, 0, 0, 0, 0]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:05:36 2004

Input: binary(200)

Output: [1, 1, 0, 0, 1, 0, 0, 0]

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:06:10 2004

Input: binary(201)

Output: [1, 1, 0, 0, 1, 0, 0, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:06:14 2004

Input: binary(201)

Output: [1, 1, 0, 0, 1, 0, 0, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:07:02 2004

Input: gcd(12,234)

Output: 6

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:08:26 2004

Input: binary(259)

Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:09:13 2004

Input: bezout(12,234)

Output: [-19, 1, 6]

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:10:12 2004

Input: Mod(34^{1265},333)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Mod(34^{1265},333)
                                     ^-----------


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:10:29 2004

Input: Mod(34^1265,333)

Output: Mod(238, 333)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:11:33 2004

Input: factor(891106666666677777777777700)

Output: 
[2 2]

[5 2]

[107 1]

[7103 1]

[13297 1]

[881760077127421 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.070s
sys	0m0.010s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:12:52 2004

Input: isprime(891106666666677777777777700)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host149-178.pool8249.interbusiness.it. (82.49.178.149)
Time: Sun Apr 11 08:13:19 2004

Input: nextprime(891106666666677777777777700)

Output: 891106666666677777777777761

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host vandoeuvre-1-82-66-255-179.fbx.proxad.net. (82.66.255.179)
Time: Sun Apr 11 14:11:27 2004

Input: {
n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;

rc=sqrtint(n);
x=rc;
for(i=0,10^10,
	yc=x*x-n;
	if(issquare(yc),
		y=sqrtint(yc);
		print(x+y);
		print(x-y);
		break;
	);
	x++;
);
}

Output: 115792089237316195423570985008687907853967654948918380471826999309523310687923
115792089237316195423570985008687907853627372581997442008345177958017832924793

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gounod-1-82-66-202-38.fbx.proxad.net. (82.66.202.38)
Time: Sun Apr 11 14:14:34 2004

Input: {
n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
yc=x*x-n;
if(issquare(yc),
y=sqrtint(yc);
print(x+y);
print(x-y);
break;
);
x++;
);
}

Output: 115792089237316195423570985008687907853967654948918380471826999309523310687923
115792089237316195423570985008687907853627372581997442008345177958017832924793

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (202.185.74.31)
Time: Sun Apr 11 20:03:20 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.273s
user	0m0.060s
sys	0m0.050s


************** PARI *****************
Host 3(NXDOMAIN) (202.185.74.31)
Time: Sun Apr 11 20:03:28 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host58-225.pool80181.interbusiness.it. (80.181.225.58)
Time: Sun Apr 11 21:58:33 2004

Input: binary(44573)

Output: [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (163.152.39.238)
Time: Mon Apr 12 00:50:49 2004

Input: nfinit(x^2+x+1)


Output: [x^2 + x + 1, [0, 1], -3, 1, [Mat([1, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; -1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, -1.000000000000000000000000000; -1.000000000000000000000000000, 2.000000000000000000000000000], [2, -1; -1, -1], [3, 2; 0, 1], [-1, 1; 1, 2], [3, [2, 1]~]], [-0.5000000000000000000000000000 + 0.8660254037844386467637231707*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, -1]]

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host dsl-roigw2fe4.dial.inet.fi. (80.223.133.228)
Time: Mon Apr 12 04:02:00 2004

Input: (a+b)^2


Output: a^2 + 2*b*a + b^2

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:10:20 2004

Input: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939

Output: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:11:40 2004

Input: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939

Output: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:19:32 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
yc=x*x-n;
if(issquare(yc),
y=sqrtint(yc);
print(x+y);
print(x-y);
break;
);
x++;
);



Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:21:55 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
yc=x*x-n;
if(issquare(yc),
y=sqrtint(yc);
print(x+y);
print(x-y);
break;
);
x++;
);



Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:25:14 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
yc=x*x-n;
if(issquare(yc),
y=sqrtint(yc);
print(x+y);
print(x-y);
break;
);
x++;
);

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:28:45 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
	yc=x*x-n;
	if(issquare(yc),
		y=sqrtint(yc);
		print(x+y);
		print(x-y);
		print(sqrtint(x));
		print(sqrtint(y));
		break;
	);
x++;
);

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I
340282366920938463463374607431768211456

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   not an integer argument in an arithmetic function
  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:29:58 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
	yc=x*x-n;
	if(issquare(yc),
		y=sqrtint(yc);
		print(x+y);
		print(x-y);
		z=sqrtint(x);
		y=sqrtint(y)
		print(z*y);
		
		break;
	);
x++;
);

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I
-315560429194008430208537634051680766568311746863385581504671883970357926673912954880*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   not an integer argument in an arithmetic function
  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:30:44 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;
rc=sqrtint(n);
x=rc;
for(i=0,10^10,
	yc=x*x-n;
	if(issquare(yc),
		y=sqrtint(yc);
		print(x+y);
		print(x-y);
		z=sqrtint(x);
		y=sqrtint(y);
		print(z-y);
		
		break;
	);
x++;
);

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I
340282366920938463463374607431768211456 + 927348754651533406244978598662624049081876480*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   not an integer argument in an arithmetic function
  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:34:36 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;

rc=sqrtint(n);
x=rc;
for(i=0,10^10,
	yc=x*x-n;
	if(issquare(yc),
		y=sqrtint(yc);
		az=x+y;
		bz=x-y;
		print(az);
		print(bz);
		break;
	);
x++;
);

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:36:55 2004

Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480

Output: 115792089237316195423570985008686980505042862232051666261487426009721489929877

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:37:24 2004

Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357
+ 927348754651533406244978598662624049081876480

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357
927348754651533406244978598662624049081876480

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:37:38 2004

Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357
 + 927348754651533406244978598662624049081876480

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357
927348754651533406244978598662624049081876480

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:38:05 2004

Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939;

rc=sqrtint(n);
x=rc;
for(i=0,10^10,
	yc=x*x-n;
	if(issquare(yc),
		y=sqrtint(yc);
		az=x+y;
		bz=x-y;
		print(az);
		print(bz);
		break;
	);
x++;
);

Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I
115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(i=0,10^10,
                                                          ^

  ***   expected character: ',' instead of: if(issquare(yc),
                                                            ^

  ***   unused characters: );
                           ^--

  ***   unused characters: );
                           ^--


Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:38:43 2004

Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480

Output: 115792089237316195423570985008686980505042862232051666261487426009721489929877

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ACB134B9.ipt.aol.com. (172.177.52.185)
Time: Mon Apr 12 13:39:11 2004

Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480

Output: 115792089237316195423570985008688835202552165298864156218684751257819653682837

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:01:29 2004

Input: (x^9-1(-(x-1)^9

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x^9-1(-(x-1)^9
                                                  ^---------


Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:01:41 2004

Input: (x^9-1)-(x-1)^9

Output: 9*x^8 - 36*x^7 + 84*x^6 - 126*x^5 + 126*x^4 - 84*x^3 + 36*x^2 - 9*x

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:02:51 2004

Input: (x-1)^9

Output: x^9 - 9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x - 1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:03:40 2004

Input: Mod( (x^9-1)-(x-1)^9 , x^3-1 )

Output: Mod(-81*x^2 + 81*x, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:13:25 2004

Input: Mod( (x^703-1)-(x-1)^703 , x^3-1 )

Output: Mod(294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112748*x - 294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112748, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.121s
user	0m0.100s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:14:33 2004

Input: Mod( 294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112748 , 703 )
 

Output: Mod(0, 703)

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host ACB3DD8B.ipt.aol.com. (172.179.221.139)
Time: Mon Apr 12 14:19:04 2004

Input: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939

Output: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host dsc01-aui-tx-206-217-99-107.rasserver.net. (206.217.99.107)
Time: Mon Apr 12 14:27:12 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 12 14:29:19 2004

Input: Mod( (x^9-1)-(x-1)^9 , x^3-1 )

Output: Mod(-81*x^2 + 81*x, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:40:36 2004

Input: D = -59
  qfbclassno(D,1)

Output: -59
3

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:41:14 2004

Input: D = -59
  qfbclassno(D,1)
? reducedforms(D)


Output: -59
3

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:41:27 2004

Input: D = -59
  qfbclassno(D,1)
?reducedforms(D)


Output: -59
3

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:41:42 2004

Input: D = -59
  qfbclassno(D,1)
? reducedforms(D)


Output: -59
3

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:41:56 2004

Input: D = -59
  qfbclassno(D)
? reducedforms(D)


Output: -59
3

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:42:00 2004

Input: D = -59
  qfbclassno(D)
? reducedforms(D)


Output: -59
3

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:44:13 2004

Input: ? D = -419
 ? reducedforms(D)


Output: 
Errors (if any) and Timing Info:  ***   D=-419: unknown identifier.
  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:44:24 2004

Input: D = -419
 ? reducedforms(D)


Output: -419

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:44:31 2004

Input: D = -59
 ? reducedforms(D)


Output: -59

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:44:39 2004

Input: D = -59
 ? reducedforms(D)


Output: -59

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:44:40 2004

Input: D = -59
 ? reducedforms(D)


Output: -59

Errors (if any) and Timing Info:  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.053s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:45:31 2004

Input: ? D=-31
?qbfclassno(D)

Output: 
Errors (if any) and Timing Info:  ***   D=-31: unknown identifier.
  ***   qbfclassno(D): unknown identifier.

Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:45:42 2004

Input: ? D=-31


Output: 
Errors (if any) and Timing Info:  ***   D=-31: unknown identifier.

Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:46:02 2004

Input: ? D = -419
%21 = -419
? qfbclassno(D,1)
%22 = 9
? reducedforms(D)


Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:46:16 2004

Input: ? D = -59

? qfbclassno(D,1)

? reducedforms(D)


Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method 
by default. If (optional) flag is set to 1, use Euler products.


Errors (if any) and Timing Info:  ***   D=-59: unknown identifier.
  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:46:55 2004

Input: ? D = -59

? qfbclassno(D)

? reducedforms(D)


Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method 
by default. If (optional) flag is set to 1, use Euler products.


Errors (if any) and Timing Info:  ***   D=-59: unknown identifier.
  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:46:56 2004

Input: ? D = -59

? qfbclassno(D)

? reducedforms(D)


Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method 
by default. If (optional) flag is set to 1, use Euler products.


Errors (if any) and Timing Info:  ***   D=-59: unknown identifier.
  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:46:57 2004

Input: ? D = -59

? qfbclassno(D)

? reducedforms(D)


Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method 
by default. If (optional) flag is set to 1, use Euler products.


Errors (if any) and Timing Info:  ***   D=-59: unknown identifier.
  ***   reducedforms(D): unknown identifier.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:48:39 2004

Input: ? D = -59




Output: 
Errors (if any) and Timing Info:  ***   D=-59: unknown identifier.

Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:50:06 2004

Input: 

qfbclassno(-59)



Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:50:33 2004

Input: 
qfbclassno(-59)

reducedforms(-59)



Output: 3

Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: reducedforms(-59)
                                                        ^-----------------


Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Mon Apr 12 18:50:46 2004

Input: qfbclassno(-59)

reducedforms(D)



Output: 3

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: reducedforms(D)
                                                           ^


Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (203.130.237.66)
Time: Tue Apr 13 01:06:31 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (203.130.237.66)
Time: Tue Apr 13 01:07:36 2004

Input: 1+1


Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pool-141-150-214-171.delv.east.verizon.net. (141.150.214.171)
Time: Tue Apr 13 04:24:50 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"

Errors (if any) and Timing Info:
Timing:
real	0m0.088s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:36:23 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:40:28 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:40:36 2004

Input: factor(omitted)


Output: 
[3 1]

[599 1]

[316847 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host beta.wwwcache.cam.ac.uk. (131.111.8.97)
Time: Thu Apr 22 21:43:39 2004

Input: 9+0

Output: 9

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host beta.wwwcache.cam.ac.uk. (131.111.8.97)
Time: Thu Apr 22 21:43:44 2004

Input: 9+9

Output: 18

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:43:51 2004

Input: factor(omitted)


Output: 
[3 1]

[599 1]

[316847 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:45:53 2004

Input: factor(omitted)


Output: 
[3 1]

[599 1]

[316847 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:51:28 2004

Input: factor(omitted)


Output: 
[3 1]

[599 1]

[316847 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 21:51:30 2004

Input: factor(omitted)


Output: 
[3 1]

[599 1]

[316847 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s

a

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 22:44:42 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:chroot: cannot change root directory to /var/www/cgi-bin/sandbox: Operation not permitted

Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 22:45:07 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 22:45:08 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 22:53:26 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.000s


Referer: http://modular.fas.harvard.edu/cgi-bin/calc/calc.py

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 22:54:08 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


Referer: http://modular.fas.harvard.edu/calc/

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 22:55:42 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.010s


Referer: http://modular.fas.harvard.edu/cgi-bin/calc/calc.py