CoCalc Shared Fileswww / cgi-bin / old_logs / logfile_gp-old.txt
Author: William A. Stein

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Nov 27 13:45:41 2003

Input: 1+1

Output: 2

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

************** PARI *****************
Host 3(NXDOMAIN) (81.5.166.223)
Time: Thu Nov 27 13:59:54 2003

Input: ?thue

Output: thue(tnf,a,{sol}): solve the equation P(x,y)=a, where tnf was created with
thueinit(P), and sol, if present, contains the solutions of Norm(x)=a modulo
units in the number field defined by P. If tnf was computed without assuming
GRH (flag 1 in thueinit), the result is unconditional.

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

************** PARI *****************
Host U149.N100.QueensU.CA. (130.15.100.149)
Time: Thu Nov 27 16:43:37 2003

{
tnf=thueinit(x^2 + N);
v=thue(tnf, n);
s=length(thue(tnf, n));
}

est(m,N)=
{
f=factorint(2*N)[,1]~;
l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m)  );

print(v); print(s); print(f);
print(k); print(l);

}

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

************** PARI *****************
Host U149.N100.QueensU.CA. (130.15.100.149)
Time: Thu Nov 27 16:43:56 2003

{
tnf=thueinit(x^2 + N);
v=thue(tnf, n);
s=length(thue(tnf, n));
}

est(m,N)=
{
f=factorint(2*N)[,1]~;
l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m)  );

print(v); print(s); print(f);
print(k); print(l);

}

est(100,7);

Output:
Errors (if any) and Timing Info:  ***   invalid polynomial in thue (need deg>2).

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host U149.N100.QueensU.CA. (130.15.100.149)
Time: Thu Nov 27 16:44:25 2003

{
tnf=thueinit(x^2 + N);
v=thue(tnf, n);
s=length(thue(tnf, n));
}

est(m,N)=
{
f=factorint(2*N)[,1]~;
l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m)  );

print(v); print(s); print(f);
print(k); print(l);

}

est(10,7)

Output:
Errors (if any) and Timing Info:  ***   invalid polynomial in thue (need deg>2).

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host t2.fujitsu.co.jp. (164.71.1.147)
Time: Thu Nov 27 20:48:02 2003

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	0m0.020s
sys	0m0.040s

************** PARI *****************
Host t5.fujitsu.co.jp. (164.71.1.150)
Time: Thu Nov 27 20:48:32 2003

Input: "100!"

Output: "100!"

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Nov 27 21:41:41 2003

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 gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Nov 27 21:41:55 2003

Input: for

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

Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116)
Time: Thu Nov 27 22:17:30 2003

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 pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116)
Time: Thu Nov 27 22:17:58 2003

Input: 2-3

Output: -1

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

************** PARI *****************
Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116)
Time: Thu Nov 27 22:18:38 2003

Input: sum(k^2,1,3)

Output:
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: sum(k^2,1,3)
^-------

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116)
Time: Thu Nov 27 22:19:00 2003

Input: ?sum

Output: sum(X=a,b,expr,{x=0}): x plus the sum (X goes from a to b) of expression expr.

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116)
Time: Thu Nov 27 22:19:34 2003

Input: sum(k=1,3,k^2)

Output: 14

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

************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Fri Nov 28 00:01:57 2003

Input: ellj(q)

Output: q^-1 + 744 + 196884*q + 21493760*q^2 + 864299970*q^3 + 20245856256*q^4 + 333202640600*q^5 + 4252023300096*q^6 + 44656994071935*q^7 + 401490886656000*q^8 + 3176440229784420*q^9 + 22567393309593600*q^10 + 146211911499519294*q^11 + 874313719685775360*q^12 + 4872010111798142520*q^13 + O(q^14)

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

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Fri Nov 28 06:49:41 2003

Input: 1+1

Output: 2

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

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Fri Nov 28 06:49:47 2003

Input: 1+1;

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

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Fri Nov 28 06:49:50 2003

Input: 1+1;

Output:
Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Fri Nov 28 06:49:54 2003

Input: 1+1

Output: 2

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

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Fri Nov 28 06:53:21 2003

Input:
] IsUninstall(): Reading Property: REMOVE =
[1,7-29-2003,06:22:25] Determined SRCDIR using SourceDir property.
[1,7-29-2003,06:22:25] InitNavInst! We need to load!
[1,7-29-2003,06:22:25] UseNavInst()
[1,7-29-2003,06:22:25] IsUninstall(): Reading Property: REMOVE =
[1,7-29-2003,06:22:25] IsUninstall(): Reading Property: REMOVE =
[1,7-29-2003,06:22:25] UseNavCust2()
[1,7-29-2003,06:22:25] IsUninstall(): Reading Property: REMOVE =
[1,7-29-2003,06:22:25] Calling NAVINSNT.CreateNAVMutex
[1,7-29-2003,06:22:25] SetupInstall()
[1,7-29-2003,06:22:25] InitSrcDir()
[1,7-29-2003,06:22:25] g_szCommonAppDataPath = C:Documents and SettingsAll UsersApplication DataSymantecNorton AntiVirus Corporate Edition7.5
[1,7-29-2003,06:22:25] Calling NAVINSNT._RegInitUndoList
[1,7-29-2003,06:22:25] Calling NAVINSNT._RegDBSetDefaultRoot
[1,7-29-2003,06:22:25] Calling NAVINSNT._RegDBCreateKeyEx

Output: WARNING: PARI command contains unsafe command 'read', so it will not be executed.

************** PARI *****************
Host medoc.ens-lyon.fr. (140.77.14.134)
Time: Fri Nov 28 11:15:10 2003

Input: a=0; for i from 1 to 5 do a=a+1; print(a)

Output: 0

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

************** PARI *****************
Host medoc.ens-lyon.fr. (140.77.14.134)
Time: Fri Nov 28 11:15:42 2003

Input: exp(34)

Output: 583461742527454.8814029027346

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host medoc.ens-lyon.fr. (140.77.14.134)
Time: Fri Nov 28 11:15:56 2003

Input: p123;
exp(34)

Output: 583461742527454.8814029027346

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

************** PARI *****************
Host medoc.ens-lyon.fr. (140.77.14.134)
Time: Fri Nov 28 11:16:02 2003

Input: p123;
exp(34)

Output: 583461742527454.8814029027346

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

************** PARI *****************
Host medoc.ens-lyon.fr. (140.77.14.134)
Time: Fri Nov 28 11:16:13 2003

Input: p=123;
exp(34)

Output: 583461742527454.8814029027346

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

************** PARI *****************
Host 3(NXDOMAIN) (207.236.197.207)
Time: Fri Nov 28 12:33:40 2003

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 syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Fri Nov 28 15:43:25 2003

Input: contfrac((1+sqrt(5))/2)

Output: [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Fri Nov 28 15:51:26 2003

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	0m0.058s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Fri Nov 28 16:00:21 2003

Input: contfrac((42+sqrt((42^2)+(4*41*62))/(2*41))

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...(42^2)+(4*41*62))/(2*41))
^

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

************** PARI *****************
Time: Fri Nov 28 18:09:37 2003

Input: sqrt{4}

Output:
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: sqrt{4}
^---

Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sat Nov 29 21:16:05 2003

Input: 1+1

Output: 2

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

************** PARI *****************
Time: Sun Nov 30 03:18:11 2003

Input: 123*3456

Output: 425088

Errors (if any) and Timing Info:
Timing:
real	0m0.331s
user	0m0.050s
sys	0m0.060s

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:43:46 2003

Input: for (n=1,100,print(prime[n]));

Output:
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: for(n=1,100,print(prime[n]));
^------

Timing:
real	0m0.127s
user	0m0.020s
sys	0m0.020s

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:44:33 2003

Input: eulerphi(30);

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

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:44:58 2003

Input: print(eulerphi(30));

Output: 8

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

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:45:33 2003

Input: {
for (n=1,100,print(n, ",eulerphi(n)));
}

Output:
Errors (if any) and Timing Info:  ***   expected character: '"' instead of: ...int(n,",eulerphi(n))); }
^

***   Warning: run-away string. Closing it.

Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:45:52 2003

Input: {
for (n=1,100,print(n," ",eulerphi(n)));
}

Output: 1 1
2 1
3 2
4 2
5 4
6 2
7 6
8 4
9 6
10 4
11 10
12 4
13 12
14 6
15 8
16 8
17 16
18 6
19 18
20 8
21 12
22 10
23 22
24 8
25 20
26 12
27 18
28 12
29 28
30 8
31 30
32 16
33 20
34 16
35 24
36 12
37 36
38 18
39 24
40 16
41 40
42 12
43 42
44 20
45 24
46 22
47 46
48 16
49 42
50 20
51 32
52 24
53 52
54 18
55 40
56 24
57 36
58 28
59 58
60 16
61 60
62 30
63 36
64 32
65 48
66 20
67 66
68 32
69 44
70 24
71 70
72 24
73 72
74 36
75 40
76 36
77 60
78 24
79 78
80 32
81 54
82 40
83 82
84 24
85 64
86 42
87 56
88 40
89 88
90 24
91 72
92 44
93 60
94 46
95 72
96 32
97 96
98 42
99 60
100 40

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:50:20 2003

Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m
= 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q))))

partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24)

partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3

partition(n) =
{ local(prec, oprec, delta, mq, d, t);
if ( n == 0
, 1
, oprec = precision(1.0)
; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10
; if ( n > 200
, delta = 2
, default(realprecision, 20)
; d = 2
; while(partbla(d) > n, d++)
; delta = solve ( delta = d-1, d, partbla(delta)-n )
)
; mq = ceil(sqrt(n)/delta)
; default(realprecision, prec)
; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n)))
; default(realprecision, oprec)
; t
)
}

partition(12345);

Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed.

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:53:18 2003

Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m
= 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q))))

partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24)

partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3

partition(n) =
{ local(prec, oprec, delta, mq, d, t);
if ( n == 0
, 1
, oprec = precision(1.0)
; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10
; if ( n > 200
, delta = 2
, default(realprecision, 20)
; d = 2
; while(partbla(d) > n, d++)
; delta = solve ( delta = d-1, d, partbla(delta)-n )
)
; mq = ceil(sqrt(n)/delta)
; default(realprecision, prec)
; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n)))
default(realprecision, oprec)
; t
)
}

partition(12345);

Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed.

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:53:42 2003

Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m
= 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q))))

partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24)

partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3

partition(n) =
{ local(prec, oprec, delta, mq, d, t);
if ( n == 0
, 1
, oprec = precision(1.0)
; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10
; if ( n > 200
, delta = 2
, default(realprecision, 20)
; d = 2
; while(partbla(d) > n, d++)
; delta = solve ( delta = d-1, d, partbla(delta)-n )
)
; mq = ceil(sqrt(n)/delta)
; default(realprecision, prec)
; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n)))
default(realprecision, oprec)
; t
)
}

partition(12345);

Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed.

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:54:01 2003

Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m
= 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q))))

partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24)

partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3

partition(n) =
{ local(prec, oprec, delta, mq, d, t);
if ( n == 0
, 1
, oprec = precision(1.0)
; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10
; if ( n > 200
, delta = 2
, default(realprecision, 20)
; d = 2
; while(partbla(d) > n, d++)
; delta = solve ( delta = d-1, d, partbla(delta)-n )
)
; mq = ceil(sqrt(n)/delta)
; default(realprecision, prec)
; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n)))
; t
)
}

partition(12345);

Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed.

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:54:17 2003

Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m
= 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q))))

partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24)

partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3

partition(n) =
{ local(prec, oprec, delta, mq, d, t);
if ( n == 0
, 1
, oprec = precision(1.0)
; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10
; if ( n > 200
, delta = 2
, default(realprecision, 20)
; d = 2
; while(partbla(d) > n, d++)
; delta = solve ( delta = d-1, d, partbla(delta)-n )
)
; mq = ceil(sqrt(n)/delta)
; default(realprecision, prec)
; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n)))
; t
)
}

partition(12345);

Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed.

************** PARI *****************
Host molten-ext.nus.edu.sg. (137.132.3.10)
Time: Sun Nov 30 03:54:49 2003

Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m
= 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q))))

partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24)

partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3

partition(n) =
{ local(prec, oprec, delta, mq, d, t);
if ( n == 0
, 1
, oprec = precision(1.0)
; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10
; if ( n > 200
, delta = 2
; d = 2
; while(partbla(d) > n, d++)
; delta = solve ( delta = d-1, d, partbla(delta)-n )
)
; mq = ceil(sqrt(n)/delta)
; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n)))
; t
)
}

partition(12345);

Output:
Errors (if any) and Timing Info:  ***   obsolete function: ...f(gcd(p,q)<1,0,exp(Pi*I*(sum(m
^-----
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).

New syntax: sum(x,X=a,b,expr) ===> sum(X=a,b,expr,x)

sum(X=a,b,expr,{x=0}): x plus the sum (X goes from a to b) of expression expr.

***   unexpected character: =1,q-1,m*(m*p/q-floo
^--------------------

***   roots must be bracketed in solve.

Timing:
real	0m0.072s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host 0xc2ffa2c6.osd01.dsl.telianet.dk. (194.255.162.198)
Time: Sun Nov 30 07:03:14 2003

Input: Omega(100)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Omega(100)
^----------

Timing:
real	0m0.102s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host 0xc2ffa2c6.osd01.dsl.telianet.dk. (194.255.162.198)
Time: Sun Nov 30 07:03:28 2003

Input: bigomega(100)

Output: 4

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

************** PARI *****************
Host sv4.ictp.trieste.it. (140.105.16.64)
Time: Sun Nov 30 08:40:34 2003

Input: 1+2

Output: 3

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

************** PARI *****************
Host sv4.ictp.trieste.it. (140.105.16.64)
Time: Sun Nov 30 08:41:00 2003

Input: pi

Output: pi

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

************** PARI *****************
Host sv4.ictp.trieste.it. (140.105.16.64)
Time: Sun Nov 30 08:41:19 2003

Input: 7887*387438473

Output: 3055727236551

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

************** PARI *****************
Host sv4.ictp.trieste.it. (140.105.16.64)
Time: Sun Nov 30 08:41:47 2003

Input: 3816547290/7

Output: 3816547290/7

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

************** PARI *****************
Host sv4.ictp.trieste.it. (140.105.16.64)
Time: Sun Nov 30 08:42:05 2003

Input: 3816547290+iosdujfdopsjfeoj

Output: iosdujfdopsjfeoj + 3816547290

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

************** PARI *****************
Host pcrias2.Math.Uni-Augsburg.DE. (137.250.162.34)
Time: Sun Nov 30 09:26:52 2003

Input: nfK=bnfinit(x^2-7);
nfK[8]

Output: [[1, [], []], 2.768659383313573832732001409, 0.9617653698405663631, [2, -1], [3*x - 8], 119]

Errors (if any) and Timing Info:
Timing:
real	0m0.098s
user	0m0.070s
sys	0m0.030s

************** PARI *****************
Host pcrias2.Math.Uni-Augsburg.DE. (137.250.162.34)
Time: Sun Nov 30 09:27:55 2003

Input: nfK=bnfinit(x^2-7);
nfK[8]
nfK[7][6]

Output: [[1, [], []], 2.768659383313573832732001409, 0.9617653698405663631, [2, -1], [3*x - 8], 119]
[-2.645751311064590590501615753, 2.645751311064590590501615753]

Errors (if any) and Timing Info:
Timing:
real	0m0.100s
user	0m0.080s
sys	0m0.020s

************** PARI *****************
Host c-67-160-217-111.client.comcast.net. (67.160.217.111)
Time: Sun Nov 30 14:09:19 2003

Input: 2+2

Output: 4

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

************** PARI *****************
Host c-67-160-217-111.client.comcast.net. (67.160.217.111)
Time: Sun Nov 30 14:10:03 2003

Input: 2+2+2

Output: 6

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

************** PARI *****************
Host c-67-160-217-111.client.comcast.net. (67.160.217.111)
Time: Sun Nov 30 14:11:11 2003

Input: 2+2+2

Output: 6

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host cache05.lax.untd.com. (64.136.26.235)
Time: Sun Nov 30 19:00:08 2003

Input: 2+6

Output: 8

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

************** PARI *****************
Host cache05.lax.untd.com. (64.136.26.235)
Time: Sun Nov 30 19:00:27 2003

Input: 100!

Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

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

************** PARI *****************
Host www-cache1.usyd.edu.au. (129.78.64.101)
Time: Sun Nov 30 20:43:24 2003

Input: r /etc/passwd

Output: 1/(passwd*etc)*r

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

************** PARI *****************
Host www-cache1.usyd.edu.au. (129.78.64.101)
Time: Sun Nov 30 20:43:40 2003

Input: r {/etc/passwd}

Output:
Errors (if any) and Timing Info:  ***   unused characters: r{/etc/passwd}
^-------------

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

************** PARI *****************
Host genoa.ucc.usyd.edu.au. (129.78.228.114)
Time: Sun Nov 30 20:49:02 2003

Input: !ls

Output: 0

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

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sun Nov 30 21:01:10 2003

Input: %

Output:
Errors (if any) and Timing Info:  ***   I can't remember before the big bang: %
^-

Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sun Nov 30 21:04:25 2003

Input: 2+2

Output: 4

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: Sun Nov 30 21:09:17 2003

Input: 2+2

Output:
Errors (if any) and Timing Info:/bin/sh: line 1: /var/www/cgi-bin/gp: No such file or directory

Timing:
real	0m0.002s
user	0m0.000s
sys	0m0.000s

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sun Nov 30 21:09:35 2003

Input: 2+2

Output: 4

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

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sun Nov 30 21:09:43 2003

Input: e=ellinit([1,2,3,4,5]); e

Output: [1, 2, 3, 4, 5, 9, 11, 29, 35, -183, -3429, -10351, 6128487/10351, [-1.618909932267371342378000939, -0.3155450338663143288109995301 - 2.092547096911958607981689446*I, -0.3155450338663143288109995301 + 2.092547096911958607981689446*I]~, 2.780740013766729771063197626, -1.390370006883364885531598813 + 1.068749776356193066159263547*I, -1.554824121162190164275074561 + 5.12356965 E-29*I, 0.7774120605810950821375372806 - 1.727349756386839866714149879*I, 2.971915267817909670771647950]

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sun Nov 30 21:10:50 2003

Input: sys tem('ls')

Output: WARNING: PARI command contains unsafe command 'system', so it will not be executed.

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Sun Nov 30 21:10:56 2003

Input: sys%tem('ls')

Output: WARNING: PARI command contains unsafe command 'system', so it will not be executed.

************** PARI *****************
Time: Mon Dec  1 02:46:15 2003

Input: cos Pi

Output: cosPi

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

************** PARI *****************
Time: Mon Dec  1 02:46:56 2003

Input: cos Pi
3x+9

Output: cosPi

Errors (if any) and Timing Info:  ***   unused characters: 3x+9
^---

Timing:
real	0m0.081s
user	0m0.010s
sys	0m0.030s

************** PARI *****************
Host 63-245-173-160.kitusa.com. (63.245.173.160)
Time: Mon Dec  1 16:37:52 2003

Input: 2^31+3^13

Output: 2149077971

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

************** PARI *****************
Host 3(NXDOMAIN) (202.196.32.3)
Time: Mon Dec  1 19:51:02 2003

Input: >L:=Lattice("E",8);
>G:=AutomorphismGroup(L);
>#G;FactoredOrder(G);
>M:=MatrixRing(Rationals(),8);
>B:=BasisMatrix(L);
>A:=MatrixGroup<8,Rationals()|[B^-1*M!G.i*B:i in[1..Ngens(G)]]>;
>A;

Output:
Errors (if any) and Timing Info:  ***   unexpected character: >L:=Lattice("E",8);
^-------------------

***   unexpected character: >G:=AutomorphismGrou
^--------------------

***   unexpected character: >#G;FactoredOrder(G)
^--------------------

***   unexpected character: >M:=MatrixRing(Ratio
^--------------------

***   unexpected character: >B:=BasisMatrix(L);
^-------------------

***   unexpected character: >A:=MatrixGroup<8,Ra
^--------------------

***   unexpected character: >A;
^---

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

************** PARI *****************
Host 211.b.005.syd.iprimus.net.au. (210.50.53.211)
Time: Mon Dec  1 20:36:15 2003

Output: 129673276731767045001467236819 + 2592439027326436315951883912*w

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

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:05:16 2003

Input: 3+5

Output: 8

Errors (if any) and Timing Info:
Timing:
real	0m0.091s
user	0m0.030s
sys	0m0.060s

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:05:42 2003

Input: x**2=-1

Output:
Errors (if any) and Timing Info:  ***   unexpected character: x**2=-1
^-----

Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:05:57 2003

Input: x^2=-1

Output:
Errors (if any) and Timing Info:  ***   unexpected character: x^2=-1
^---

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

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:06:10 2003

Input: sin(1)

Output: 0.8414709848078965066525023216

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

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:06:16 2003

Input: asin(1)

Output: 1.570796326794896619231321691

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:06:23 2003

Input: 4*asin(1)

Output: 6.283185307179586476925286766

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (202.105.138.50)
Time: Tue Dec  2 02:06:30 2003

Input: 2*asin(1)

Output: 3.141592653589793238462643383

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

************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Tue Dec  2 04:24:10 2003

Input: d=prodeuler(p=2,436270000,1-(2*p)/(p^3-1))

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

Timing:
real	0m0.092s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host isgpc002.rhul.ac.uk. (134.219.148.41)
Time: Tue Dec  2 09:21:26 2003

Input: l := 1 + 2;

Output:
Errors (if any) and Timing Info:  ***   unexpected character: l:=1+2;
^-----

Timing:
real	0m1.126s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host rrcs-nys-24-213-136-229.biz.rr.com. (24.213.136.229)
Time: Tue Dec  2 18:09:01 2003

Input: zeta(0.5)

Output: -1.460354508809586812889499152

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host rrcs-nys-24-213-136-229.biz.rr.com. (24.213.136.229)
Time: Tue Dec  2 18:09:17 2003

Input: ??zeta

Output: [1mzeta[m(s):

[m   Riemann's  zeta  function zeta(s)  = sum_{n [1m>=[m 1}n^{-s},  computed using the
Euler-Maclaurin summation formula,  except when s is of type integer,  in which
case  it is computed using Bernoulli numbers for s [1m<=[m 0 or s > 0 and even,  and
using modular forms for s > 0 and odd.

[m   The library syntax is [1mgzeta[m(s,[4mprec[m).
[0m

Errors (if any) and Timing Info:
Timing:
real	0m0.425s
user	0m0.160s
sys	0m0.040s

************** PARI *****************
Host rrcs-nys-24-213-136-229.biz.rr.com. (24.213.136.229)
Time: Tue Dec  2 18:09:43 2003

Input: zeta(0.5)

Output: -1.460354508809586812889499152

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:17:15 2003

Input: factor(x^2+2*x+1)

Output:
[x + 1 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.241s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:18:09 2003

Input: initel(0,-4,-5,-5,0)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: initel(0,-4,-5,-5,0)
^--------------------

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:18:36 2003

Input: solve(x^2+3*x+7,x)

Output:
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: solve(x^2+3*x+7,x)
^-----------

Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:18:59 2003

Input: solve(x^2+3*x+7=0)

Output:
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: solve(x^2+3*x+7=0)
^-----------

Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:19:20 2003

Input: factor(x^2+x)

Output:
[x 1]

[x + 1 1]

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:19:52 2003

Input: sort(x^2+x^3+5*x)

Output:
Errors (if any) and Timing Info:  ***   obsolete function: sort(x^2+x^3+5*x)
^-----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).

New syntax: sort(x) ===> vecsort(x)

vecsort(x,{k},{flag=0}): sorts the vector of vectors (or matrix) x, according
to the value of its k-th component if k is not omitted. Binary digits of flag
(if present) mean: 1: indirect sorting, return the permutation instead of the
permuted vector, 2: sort using ascending lexicographic order, 4: use

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:20:17 2003

Input: vecsort(x^2+x^3+5*x)

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

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:20:40 2003

Input: vecsort([6,8,1,2])

Output: [1, 2, 6, 8]

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:21:37 2003

Input: vecsort([6,8,1,2])

Output: [1, 2, 6, 8]

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:24:21 2003

Input: e=ellinit(-4,-5,-5,0,0)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: e=ellinit(-4,-5,-5,0,0)
^--------

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:24:36 2003

Input: ellinit(-4,-5,-5,0,0)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ellinit(-4,-5,-5,0,0)
^--------

Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:24:50 2003

Input: ellinit(-4,-5,-5,0,0))

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ellinit(-4,-5,-5,0,0))
^---------

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:25:29 2003

Input: ellinit([-4,-5,-5,0,0])

Output: [-4, -5, -5, 0, 0, -4, 20, 25, -125, -464, -8216, -96875, 99897344/96875, [-0.5732916705512260764031669955, 0.7866458352756130382015834977 - 3.206734061302585579635783820*I, 0.7866458352756130382015834977 + 3.206734061302585579635783820*I]~, 2.216511078653664235627393801, -1.108255539326832117813696900 + 0.9198264218520209384848968765*I, -1.789855709865454365449116991 + 2.41883340 E-29*I, 0.8949278549327271827245584957 - 2.160128714418608547860107675*I, 2.038805454473363321789512407]

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:25:53 2003

Input: e=ellinit([-4,-5,-5,0,0])

Output: [-4, -5, -5, 0, 0, -4, 20, 25, -125, -464, -8216, -96875, 99897344/96875, [-0.5732916705512260764031669955, 0.7866458352756130382015834977 - 3.206734061302585579635783820*I, 0.7866458352756130382015834977 + 3.206734061302585579635783820*I]~, 2.216511078653664235627393801, -1.108255539326832117813696900 + 0.9198264218520209384848968765*I, -1.789855709865454365449116991 + 2.41883340 E-29*I, 0.8949278549327271827245584957 - 2.160128714418608547860107675*I, 2.038805454473363321789512407]

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:26:30 2003

Input: ellisoncurve(e,[0,0])

Output:
Errors (if any) and Timing Info:  ***   bad argument for an elliptic curve related function

Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:27:38 2003

Input: ellpow(e,[0,0],4)

Output:
Errors (if any) and Timing Info:  ***   bad argument for an elliptic curve related function

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:28:15 2003

Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],4)

Output: [0, 5]

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:28:31 2003

Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],2)

Output: [5, 25]

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:28:44 2003

Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],3)

Output: [5, 0]

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

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:29:06 2003

Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],3)
ellpow(ellinit([-4,-5,-5,0,0]),[0,0],2)

Output: [5, 0]
[5, 25]

Errors (if any) and Timing Info:
Timing:
real	0m0.100s
user	0m0.040s
sys	0m0.040s

************** PARI *****************
Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81)
Time: Wed Dec  3 05:30:08 2003

Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],3)
ellpow(ellinit([-4,-5,-5,0,0]),[0,0],2)
e=ellinit([-4,-5,-5,0,0])
ellpow(e,[0,0],3)

Output: [5, 0]
[5, 25]
[-4, -5, -5, 0, 0, -4, 20, 25, -125, -464, -8216, -96875, 99897344/96875, [-0.5732916705512260764031669955, 0.7866458352756130382015834977 - 3.206734061302585579635783820*I, 0.7866458352756130382015834977 + 3.206734061302585579635783820*I]~, 2.216511078653664235627393801, -1.108255539326832117813696900 + 0.9198264218520209384848968765*I, -1.789855709865454365449116991 + 2.41883340 E-29*I, 0.8949278549327271827245584957 - 2.160128714418608547860107675*I, 2.038805454473363321789512407]
[5, 0]

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45)
Time: Wed Dec  3 09:41:21 2003

Input: ellinit([1,2,3,4,5],0)

Output: [1, 2, 3, 4, 5, 9, 11, 29, 35, -183, -3429, -10351, 6128487/10351, [-1.618909932267371342378000939, -0.3155450338663143288109995301 - 2.092547096911958607981689446*I, -0.3155450338663143288109995301 + 2.092547096911958607981689446*I]~, 2.780740013766729771063197626, -1.390370006883364885531598813 + 1.068749776356193066159263547*I, -1.554824121162190164275074561 + 5.12356965 E-29*I, 0.7774120605810950821375372806 - 1.727349756386839866714149879*I, 2.971915267817909670771647950]

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

************** PARI *****************
Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45)
Time: Wed Dec  3 09:41:39 2003

Input: ellinit([1,a,3,4,5],0)

Output: [1, a, 3, 4, 5, 4*a + 1, 11, 29, 29*a - 23, 16*a^2 + 8*a - 263, -64*a^3 - 48*a^2 + 1572*a - 5869, -464*a^3 + 136*a^2 + 11639*a - 30461, (4096*a^6 + 6144*a^5 - 198912*a^4 - 201472*a^3 + 3269616*a^2 + 1660056*a - 18191447)/(-464*a^3 + 136*a^2 + 11639*a - 30461), 0, 0, 0, 0, 0, 0]

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

************** PARI *****************
Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45)
Time: Wed Dec  3 09:42:57 2003

Output: [-s, s*r - s]

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

************** PARI *****************
Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45)
Time: Wed Dec  3 09:43:11 2003

Output: [-r + 1, r + (-s - 1)]

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

************** PARI *****************
Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45)
Time: Wed Dec  3 09:43:25 2003

Output: [(-s*r + (s^2 + s))/(r^2 - 2*r + 1), (-s^2*r^2 + 3*s^2*r + (-s^3 - 2*s^2))/(r^3 - 3*r^2 + 3*r - 1)]

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45)
Time: Wed Dec  3 09:53:38 2003

Input: ellinit([r,s,s,0,0])

Output: [r, s, s, 0, 0, r^2 + 4*s, s*r, s^2, s^3, r^4 + 8*s*r^2 - 24*s*r + 16*s^2, -r^6 - 12*s*r^4 + 36*s*r^3 - 48*s^2*r^2 + 144*s^2*r + (-64*s^3 - 216*s^2), -s^3*r^4 + s^3*r^3 - 8*s^4*r^2 + 36*s^4*r + (-16*s^5 - 27*s^4), (r^12 + 24*s*r^10 - 72*s*r^9 + 240*s^2*r^8 - 1152*s^2*r^7 + (1280*s^3 + 1728*s^2)*r^6 - 6912*s^3*r^5 + (3840*s^4 + 13824*s^3)*r^4 + (-18432*s^4 - 13824*s^3)*r^3 + (6144*s^5 + 27648*s^4)*r^2 - 18432*s^5*r + 4096*s^6)/(-s^3*r^4 + s^3*r^3 - 8*s^4*r^2 + 36*s^4*r + (-16*s^5 - 27*s^4)), 0, 0, 0, 0, 0, 0]

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

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Wed Dec  3 10:36:34 2003

Output: [1, [], [], 8.019612686193878627627840611, 0.9994613925671084785]

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

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Wed Dec  3 10:36:43 2003

Output: [1, [], [], 9699.227850074441466027589275, 1.000363969730432306]

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Wed Dec  3 10:36:47 2003

Output: [1, [], [], 9699.227850074441466027589275, 1.000363969730432306]

Errors (if any) and Timing Info:
Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Wed Dec  3 10:37:00 2003

Output: [2, [2], [Qfb(2, 111355287256599, -40044541369150, 0.E-77)], 68843619354129.09165916325515, 1.002462941966034002]

Errors (if any) and Timing Info:
Timing:
real	0m7.555s
user	0m7.100s
sys	0m0.370s

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Wed Dec  3 10:37:45 2003

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.674s
user	0m20.520s
sys	0m0.490s

************** PARI *****************
Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134)
Time: Wed Dec  3 10:41:35 2003

Input: > Q:=Rationals(); R<x>:=PolynomialRing(Q)
P:=x^2

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

***   unexpected character: P:=x^2
^----

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

************** PARI *****************
Host roam243-86.fas.harvard.edu. (140.247.243.86)
Time: Wed Dec  3 12:18:59 2003

Input: factor(421)

Output:
[421 1]

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

************** PARI *****************
Host roam243-86.fas.harvard.edu. (140.247.243.86)
Time: Wed Dec  3 12:22:00 2003

Input: factor(32768)

Output:
[2 15]

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

************** PARI *****************
Host dsl3-63-249-104-22.cruzio.com. (63.249.104.22)
Time: Wed Dec  3 19:46:10 2003

Input: 3+2

Output: 5

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

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Thu Dec  4 09:26:40 2003

Input: kroneckersymbol(3,5)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: kroneckersymbol(3,5)
^--------------------

Timing:
real	0m0.114s
user	0m0.030s
sys	0m0.060s

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Thu Dec  4 09:26:52 2003

Input: kronecker(3,5)

Output: -1

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

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Thu Dec  4 09:27:41 2003

Input: kronecker(2,3)

Output: -1

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

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Thu Dec  4 09:27:52 2003

Input: kronecker(18,5)

Output: -1

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

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Thu Dec  4 09:27:59 2003

Input: kronecker(3,5)

Output: -1

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

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Thu Dec  4 09:28:08 2003

Input: kronecker(5,3)

Output: -1

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

************** PARI *****************
Host pD950B027.dip.t-dialin.net. (217.80.176.39)
Time: Thu Dec  4 12:36:11 2003

{
tnf=thueinit(x^2 + N);
v=thue(tnf, n);
s=length(thue(tnf, n));
}
est(m,N)=
{
f=factorint(2*N)[,1]~;
l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m)  );
print(v); print(s); print(f);
print(k); print(l);
}

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

************** PARI *****************
Host pD950B027.dip.t-dialin.net. (217.80.176.39)
Time: Thu Dec  4 12:37:38 2003

Input: kronecker (10000000000,4)

Output: 0

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

************** PARI *****************
Host pD950B027.dip.t-dialin.net. (217.80.176.39)
Time: Thu Dec  4 12:37:53 2003

Input: kronecker (5,3)

Output: -1

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

************** PARI *****************
Host pD950B027.dip.t-dialin.net. (217.80.176.39)
Time: Thu Dec  4 12:38:04 2003

Input: Input: kronecker(5,3)

Output: -1

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

************** PARI *****************
Host roam240-108.fas.harvard.edu. (140.247.240.108)
Time: Thu Dec  4 15:54:07 2003

Input: factormod(x^2-2,43)

Output:
[Mod(1, 43)*x^2 + Mod(41, 43) 1]

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

************** PARI *****************
Host user-38lc0be.dialup.mindspring.com. (209.86.1.110)
Time: Fri Dec  5 03:08:48 2003

Input: cos^-1(.9999999999992089

Output:
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: cos^-1(.999999999999208
^--------------------

Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Fri Dec  5 21:11:13 2003

Input: eval(concat(concat(Str(sy),Str(stem)),"(env)"))

Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.

************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Fri Dec  5 21:14:11 2003

Input: Str("~guest",1)

Output: "/database_dump"

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

************** PARI *****************
Host roam240-67.fas.harvard.edu. (140.247.240.67)
Time: Mon Dec  8 14:46:25 2003

Input: 2+2

Output: 4

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

************** PARI *****************
Host 3(NXDOMAIN) (193.2.237.28)
Time: Tue Dec  9 06:11:52 2003

Input: factor(65706677346410716693277290133297748787629461731187083886926467723500222615379581578876215678872009742417817845623)

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.369s
user	0m20.980s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (193.2.237.28)
Time: Tue Dec  9 06:12:27 2003

Input: factor(123)

Output:
[3 1]

[41 1]

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

************** PARI *****************
Host 3(NXDOMAIN) (193.2.237.28)
Time: Tue Dec  9 06:12:36 2003

Input: ifactor(123)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: ifactor(123)
^------------

Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (193.2.237.28)
Time: Tue Dec  9 06:12:43 2003

Input: factor(123)

Output:
[3 1]

[41 1]

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

************** PARI *****************
Host 3(NXDOMAIN) (193.2.237.28)
Time: Tue Dec  9 06:12:54 2003

Input: factor(123334)

Output:
[2 1]

[61667 1]

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

************** PARI *****************
Host 3(NXDOMAIN) (193.2.237.28)
Time: Tue Dec  9 06:13:25 2003

Input: factor(65706677346410716693277290133297748787629461731187083886926467723500222615379581578876215678872009742417817845623)

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.246s
user	0m20.890s
sys	0m0.110s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:30:25 2003

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	0m0.030s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:30:47 2003

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	0m0.030s
sys	0m0.020s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:31:11 2003

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	0m0.051s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:31:31 2003

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	0m0.054s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:32:10 2003

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	0m0.053s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:32:31 2003

Input: contfrac(sqrt(8))

Output: [2, 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	0m0.052s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:32:48 2003

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	0m0.051s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:33:04 2003

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	0m0.063s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:33:49 2003

Input: contfrac(sqrt(12))

Output: [3, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:34:05 2003

Input: contfrac(sqrt(13))

Output: [3, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 7]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:34:28 2003

Input: contfrac(sqrt(14))

Output: [3, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 3]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:34:46 2003

Input: contfrac(sqrt(15))

Output: [3, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:34:59 2003

Input: contfrac(sqrt(17))

Output: [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:35:14 2003

Input: contfrac(sqrt(18))

Output: [4, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:35:30 2003

Input: contfrac(sqrt(19))

Output: [4, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 4]

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:36:03 2003

Input: contfrac(sqrt(20))

Output: [4, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:36:39 2003

Input: contfrac(sqrt(e))

Output:
Errors (if any) and Timing Info:  ***   odd exponent in gsqrt

Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Dec  9 11:36:49 2003

Input: contfrac(e)

Output: [e]

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: Tue Dec  9 11:36:56 2003

Input: contfrac(exp(1))

Output: [2, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, 14, 1, 1, 16, 1, 1, 18, 1, 1, 20, 2]

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

************** PARI *****************
Host 24-193-146-215.nyc.rr.com. (24.193.146.215)
Time: Tue Dec  9 16:31:44 2003

Input: o gp_init.o gp_rl.o highlvl.o whatnow.o plot.o plotport.o    -L -lX11  -ldl -lm
plot.o(.text+0x7d): In function rectdraw0':
: undefined reference to XOpenDisplay'
plot.o(.text+0x8f): In function rectdraw0':
: undefined reference to XLoadQueryFont'
plot.o(.text+0xed): In function rectdraw0':
: undefined reference to XSetErrorHandler'
plot.o(.text+0xf7): In function rectdraw0':
: undefined reference to XSetIOErrorHandler'
plot.o(.text+0x363): In function rectdraw0':
: undefined reference to XCreateSimpleWindow'
plot.o(.text+0x3d8): In function rectdraw0':
: undefined reference to XSetStandardProperties'
plot.o(.text+0x3e9): In function rectdraw0':
: undefined reference to XInternAtom'
plot.o(.text+0x402): In function rectdraw0':
: undefined reference to XInternAtom'
plot.o(.text+0x423): In function rectdraw0':
: undefined reference to XSetWMProtocols'
plot.o(.text+0x437): In function rectdraw0':
: undefined reference to XSelectInput'
plot.o(.text+0x46a): In function rectdraw0':
: undefined reference to XChangeWindowAttributes'
plot.o(.text+0x47d): In function rectdraw0':
: undefined reference to XCreateGC'
plot.o(.text+0x498): In function rectdraw0':
: undefined reference to XSetFont'
plot.o(.text+0x4a7): In function rectdraw0':
: undefined reference to XClearWindow'
plot.o(.text+0x4b6): In function rectdraw0':
: undefined reference to XMapWindow'
plot.o(.text+0x4e6): In function rectdraw0':
: undefined reference to XNextEvent'
plot.o(.text+0x546): In function rectdraw0':
: undefined reference to XUnloadFont'
plot.o(.text+0x555): In function rectdraw0':
: undefined reference to XFreeGC'
plot.o(.text+0x5ff): In function rectdraw0':
: undefined reference to XCloseDisplay'
plot.o(.text+0x7a5): In function rectdraw0':
: undefined reference to XSetForeground'
plot.o(.text+0x865): In function rectdraw0':
: undefined reference to XDrawString'
plot.o(.text+0x8a3): In function rectdraw0':
: undefined reference to XDrawLines'
plot.o(.text+0x8ce): In function rectdraw0':
: undefined reference to XDrawRectangles'
plot.o(.text+0x8f3): In function rectdraw0':
: undefined reference to XDrawSegments'
plot.o(.text+0x91b): In function rectdraw0':
: undefined reference to XDrawPoints'
plot.o(.text+0xf42): In function rectdraw0':
: undefined reference to XAllocNamedColor'
plot.o(.text+0xf83): In function PARI_get_plot':
: undefined reference to XOpenDisplay'
plot.o(.text+0x10ac): In function Xerror':
: undefined reference to XGetErrorText'
plot.o(.text+0x100a): In function PARI_get_plot':
: undefined reference to XCloseDisplay'
collect2: ld returned 1 exit status
make[1]: *** [gp-sta] Error 1
make[1]: Leaving directory /var/tmp/portage/pari-2.1.5/work/pari-2.1.5/Ognu-x86_64-pc-linux'
make: *** [gp] Error 2

!!! ERROR: app-sci/pari-2.1.5 failed.
!!! Function src_compile, Line 27, Exitcode 2
!!! (no error message)

Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host 24-193-146-215.nyc.rr.com. (24.193.146.215)
Time: Tue Dec  9 16:31:57 2003

Input: 5476456546546456546*657567567657567

Output: 3601140210694912785367357373583582

Errors (if any) and Timing Info:
Timing:
real	0m0.113s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 24-193-146-215.nyc.rr.com. (24.193.146.215)
Time: Tue Dec  9 16:32:13 2003

Input: 5476456546546456546*657567567657567

Output: 3601140210694912785367357373583582

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

************** PARI *****************
Host dsl-200-67-218-93.prod-infinitum.com.mx. (200.67.218.93)
Time: Wed Dec 10 00:00:37 2003

Input: Pi

Output: 3.141592653589793238462643383

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

************** PARI *****************
Host pc218.math.hr. (192.84.105.21)
Time: Wed Dec 10 07:50:31 2003

Input: 3+6

Output: 9

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

************** PARI *****************
Host roam242-172.fas.harvard.edu. (140.247.242.172)
Time: Wed Dec 10 18:03:03 2003

Input: gcd(481,19)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (160.80.11.104)
Time: Thu Dec 11 08:05:49 2003

Input: 5+O(5^20)

Output: 5 + O(5^20)

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

************** PARI *****************
Host 3(NXDOMAIN) (160.80.11.104)
Time: Thu Dec 11 08:06:11 2003

Input: sqrt(11+O(5^20))

Output: 1 + 5 + 2*5^2 + 2*5^5 + 3*5^7 + 3*5^8 + 2*5^9 + 5^11 + 4*5^12 + 3*5^13 + 2*5^14 + 3*5^15 + 3*5^16 + 4*5^17 + O(5^20)

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

************** PARI *****************
Host roam243-187.fas.harvard.edu. (140.247.243.187)
Time: Thu Dec 11 13:17:58 2003

Input: 767*2

Output: 1534

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

************** PARI *****************
Host roam243-187.fas.harvard.edu. (140.247.243.187)
Time: Thu Dec 11 15:14:42 2003

Input: 2+2

Output: 4

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

************** "PARI" *****************
Host roam243-187.fas.harvard.edu. (140.247.243.187)
Time: Thu Dec 11 15:15:59 2003

Input: "2 7"

Output: Error in script -- calculator type="PARI" invalid.

************** "PARI" *****************
Host roam243-187.fas.harvard.edu. (140.247.243.187)
Time: Thu Dec 11 15:16:08 2003

Input: "2 7"

Output: Error in script -- calculator type="PARI" invalid.

************** PARI *****************
Time: Thu Dec 11 15:53:11 2003

Input: 424

Output: 424

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

************** PARI *****************
Time: Thu Dec 11 15:53:27 2003

Input: 42527587686786

Output: 42527587686786

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

************** PARI *****************
Time: Thu Dec 11 15:53:35 2003

Input: 42527587686786+5

Output: 42527587686791

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host form.fas.harvard.edu. (140.247.29.178)
Time: Thu Dec 11 16:55:46 2003

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 form.fas.harvard.edu. (140.247.29.178)
Time: Thu Dec 11 16:56:54 2003

Input: for(i=1,2000,if(mod(i!,3)^333==0,print1(i);break))

Output:
Errors (if any) and Timing Info:  ***   obsolete function: if(mod(i!,3)^333==0,pri
^--------------------
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	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host form.fas.harvard.edu. (140.247.29.178)
Time: Thu Dec 11 16:57:00 2003

Input: for(i=1,2000,if(Mod(i!,3)^333==0,print1(i);break))

Output: 3

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

************** PARI *****************
Host 211pc.wohnheimb.uni-frankfurt.de. (141.2.119.30)
Time: Thu Dec 11 17:57:31 2003

Input: 2+3

Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host 2(SERVFAIL) (208.253.20.58)
Time: Thu Dec 11 18:35:13 2003

Input: a=1+x+(x^4)
b=a^4

Output: x^4 + x + 1
x^16 + 4*x^13 + 4*x^12 + 6*x^10 + 12*x^9 + 6*x^8 + 4*x^7 + 12*x^6 + 12*x^5 + 5*x^4 + 4*x^3 + 6*x^2 + 4*x + 1

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:41:14 2003

Input: a=(1+x+x^4)
a^5

Output: x^4 + x + 1
x^20 + 5*x^17 + 5*x^16 + 10*x^14 + 20*x^13 + 10*x^12 + 10*x^11 + 30*x^10 + 30*x^9 + 15*x^8 + 20*x^7 + 30*x^6 + 21*x^5 + 10*x^4 + 10*x^3 + 10*x^2 + 5*x + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:47:15 2003

Input: D=q-8q^2+28q^3-64q^4+126q^5-224q^6

Output:
Errors (if any) and Timing Info:  ***   unused characters: D=q-8q^2+28q^3-64q^4+126q
^--------------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:47:34 2003

Input: D=q-8q^2+28q^3-64q^4+126q^5-224q^6
D

Output: D

Errors (if any) and Timing Info:  ***   unused characters: D=q-8q^2+28q^3-64q^4+126q
^--------------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:47:49 2003

Input: D=q-8q^2+28q^3-64q^4+126q^5-224q^6
D^2

Output: D^2

Errors (if any) and Timing Info:  ***   unused characters: D=q-8q^2+28q^3-64q^4+126q
^--------------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:48:48 2003

Input: D=q-8(q^2)+28(q^3)-64(q^4)+126(q^5)-224(q^6)
D^3

Output: D^3

Errors (if any) and Timing Info:  ***   unused characters: D=q-8(q^2)+28(q^3)-64(q^4
^--------------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:49:06 2003

Input: D=q-8(q^2)+28(q^3)-64(q^4)+126(q^5)-224(q^6)

Output:
Errors (if any) and Timing Info:  ***   unused characters: D=q-8(q^2)+28(q^3)-64(q^4
^--------------------

Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:49:42 2003

Input: q;
D=q-8(q^2)+28(q^3)-64(q^4)+126(q^5)-224(q^6)

Output:
Errors (if any) and Timing Info:  ***   unused characters: D=q-8(q^2)+28(q^3)-64(q^4
^--------------------

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 02:59:45 2003

Input: (q-8q^2)^3

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (q-8q^2)^3
^------

Timing:
real	0m0.053s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:00:28 2003

Input: (q-8(q^2))^3

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (q-8(q^2))^3
^--------

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:00:47 2003

Input: ((q-8(q^2))^3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ((q-8(q^2))^3)
^---------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:00:53 2003

Input: ((q-8(q^2))^3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ((q-8(q^2))^3)
^---------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:02:05 2003

Input: (x-8x^2)^3

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x-8x^2)^3
^------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:02:23 2003

Input: ((x-8x^2)^3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ((x-8x^2)^3)
^-------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:03:05 2003

Input: type ((x-8x^2)^3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: type((x-8x^2)^3)
^-------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:03:14 2003

Input: type ((x-8x^2)^3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: type((x-8x^2)^3)
^-------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:03:24 2003

Input: ((x-8x^2)^3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ((x-8x^2)^3)
^-------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:04:18 2003

Input: a=x+x^2
a

Output: x^2 + x
x^2 + x

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:04:34 2003

Input: a=x+x^2
a^3

Output: x^2 + x
x^6 + 3*x^5 + 3*x^4 + x^3

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:05:23 2003

Input: d=q-8q^2
d^3

Output: d^3

Errors (if any) and Timing Info:  ***   unused characters: d=q-8q^2
^---

Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:05:45 2003

Input: d=x-8x^2
d^3

Output: d^3

Errors (if any) and Timing Info:  ***   unused characters: d=x-8x^2
^---

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:06:01 2003

Input: a=x-8x^2
a^3

Output: a^3

Errors (if any) and Timing Info:  ***   unused characters: a=x-8x^2
^---

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:06:15 2003

Input: a=x-8(x^2)
a^3

Output: a^3

Errors (if any) and Timing Info:  ***   unused characters: a=x-8(x^2)
^-----

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:06:44 2003

Input: x-8(x^2)=a

a^3

Output: a^3

Errors (if any) and Timing Info:  ***   unused characters: x-8(x^2)=a
^-------

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:11:06 2003

Input: (x-8(x^2)+28(x^3))^3

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x-8(x^2)+28(x^3))^3
^----------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:12:31 2003

Input: (x-8(x^2)+28(x^3))

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x-8(x^2)+28(x^3))
^--------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:13:20 2003

Input: x
(x-8(x^2)+28(x^3))

Output: x

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x-8(x^2)+28(x^3))
^--------------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:21:42 2003

Input: x
(x-8*(x^2)+28*(x^3))

Output: x
28*x^3 - 8*x^2 + x

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:21:58 2003

Input: (x-8*(x^2)+28*(x^3))

Output: 28*x^3 - 8*x^2 + x

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:22:37 2003

Input: (x-8*(x^2)+28*(x^3))^3

Output: 21952*x^9 - 18816*x^8 + 7728*x^7 - 1856*x^6 + 276*x^5 - 24*x^4 + x^3

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:25:17 2003

Input: (x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7))^3 0(x^13)

Output:
Errors (if any) and Timing Info:  ***   unused characters: ...)-224*(x^6)+344*(x^7))^30(x^13)
^------

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:26:01 2003

Input: (x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7))^3 O(x^13)

Output:
Errors (if any) and Timing Info:  ***   unused characters: ...5)-224*(x^6)+344*(x^7))^3O(x^13)
^-------

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:26:19 2003

Input: (x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7))^3

Output: 40707584*x^21 - 79521792*x^20 + 96512640*x^19 - 92214272*x^18 + 74880288*x^17 - 52732032*x^16 + 32615736*x^15 - 17988096*x^14 + 8921520*x^13 - 3976672*x^12 + 1586028*x^11 - 563712*x^10 + 177400*x^9 - 48576*x^8 + 11178*x^7 - 2048*x^6 + 276*x^5 - 24*x^4 + x^3

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:28:10 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^3 )

Output: -5754585088*x^36 + 12832210944*x^35 - 19249090560*x^34 + 24092284224*x^33 - 26601614592*x^32 + 26940548976*x^31 - 25562141568*x^30 + 22870514748*x^29 - 19412667216*x^28 + 15699224749*x^27 - 12115727616*x^26 + 8948645592*x^25 - 6346498784*x^24 + 4329597498*x^23 - 2843368320*x^22 + 1797544220*x^21 - 1093030968*x^20 + 638703399*x^19 - 358344704*x^18 + 192806448*x^17 - 99334560*x^16 + 48891084*x^15 - 22892544*x^14 + 10131156*x^13 - 4200352*x^12 + 1612875*x^11 - 565248*x^10 + 177400*x^9 - 48576*x^8 + 11178*x^7 - 2048*x^6 + 276*x^5 - 24*x^4 + x^3

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:31:28 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^3 )*((1+2*(x+x^4+x^9)))^0

Output: -5754585088*x^36 + 12832210944*x^35 - 19249090560*x^34 + 24092284224*x^33 - 26601614592*x^32 + 26940548976*x^31 - 25562141568*x^30 + 22870514748*x^29 - 19412667216*x^28 + 15699224749*x^27 - 12115727616*x^26 + 8948645592*x^25 - 6346498784*x^24 + 4329597498*x^23 - 2843368320*x^22 + 1797544220*x^21 - 1093030968*x^20 + 638703399*x^19 - 358344704*x^18 + 192806448*x^17 - 99334560*x^16 + 48891084*x^15 - 22892544*x^14 + 10131156*x^13 - 4200352*x^12 + 1612875*x^11 - 565248*x^10 + 177400*x^9 - 48576*x^8 + 11178*x^7 - 2048*x^6 + 276*x^5 - 24*x^4 + x^3

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:34:08 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^2 )*((1+2*(x+x^4+x^9)))^8

Output: 822083584*x^96 - 1222115328*x^95 + 1379045376*x^94 - 1381990400*x^93 + 1246136320*x^92 + 5521186816*x^91 - 8925857536*x^90 + 10388013056*x^89 - 4018561024*x^88 + 3169140736*x^87 + 20915702784*x^86 - 33068562432*x^85 + 37967077376*x^84 + 7530508288*x^83 - 10413779456*x^82 + 59309474816*x^81 - 60201288704*x^80 + 78961909760*x^79 + 59591625728*x^78 - 65731176448*x^77 + 126576579584*x^76 - 15990618112*x^75 + 86851241216*x^74 + 147200750592*x^73 - 108528795904*x^72 + 197084623872*x^71 + 142235215360*x^70 + 20608946176*x^69 + 214594286592*x^68 + 11897446912*x^67 + 222910184448*x^66 + 290600304640*x^65 - 16854383616*x^64 + 237081780992*x^63 + 264935636224*x^62 + 180876745728*x^61 + 277739642880*x^60 + 117373151744*x^59 + 254547566336*x^58 + 371499191296*x^57 + 143256623872*x^56 + 193212552448*x^55 + 283088128352*x^54 + 239677336064*x^53 + 239834478848*x^52 + 162980778496*x^51 + 179283244928*x^50 + 256040127872*x^49 + 165439451648*x^48 + 108801968384*x^47 + 154685338560*x^46 + 148463352768*x^45 + 111168174144*x^44 + 84769575168*x^43 + 75949439104*x^42 + 84252918400*x^41 + 64668856896*x^40 + 33792616576*x^39 + 35081588768*x^38 + 37891777472*x^37 + 21833460976*x^36 + 12608331328*x^35 + 13366283104*x^34 + 10365978624*x^33 + 5374389824*x^32 + 3092851552*x^31 + 2077659072*x^30 + 1115956224*x^29 + 401595904*x^28 + 47970256*x^27 - 11066320*x^26 + 8373760*x^25 - 2854720*x^24 - 1691808*x^23 + 7182336*x^22 + 1623680*x^21 - 3130840*x^20 - 1094448*x^19 + 428281*x^18 + 299136*x^17 + 68704*x^16 - 29664*x^15 - 21140*x^14 - 6048*x^12 + 4830*x^10 - 1472*x^8 + 252*x^6 - 24*x^4 + x^2

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:36:07 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^0 )*((1+2*(x+x^4+x^9)))^8

Output: 256*x^72 + 2048*x^67 + 2048*x^64 + 1024*x^63 + 7168*x^62 + 14336*x^59 + 7168*x^58 + 14336*x^57 + 7168*x^56 + 7168*x^55 + 44800*x^54 + 21504*x^53 + 17920*x^52 + 43008*x^51 + 43008*x^50 + 82432*x^49 + 50176*x^48 + 35840*x^47 + 118272*x^46 + 109312*x^45 + 98560*x^44 + 107520*x^43 + 114688*x^42 + 197120*x^41 + 170240*x^40 + 114688*x^39 + 191744*x^38 + 226048*x^37 + 216160*x^36 + 197120*x^35 + 184576*x^34 + 258048*x^33 + 265472*x^32 + 190848*x^31 + 204288*x^30 + 245760*x^29 + 238464*x^28 + 204736*x^27 + 175168*x^26 + 195328*x^25 + 206080*x^24 + 156800*x^23 + 128576*x^22 + 140672*x^21 + 133952*x^20 + 105280*x^19 + 83440*x^18 + 78400*x^17 + 74848*x^16 + 56448*x^15 + 38528*x^14 + 35168*x^13 + 31808*x^12 + 21312*x^11 + 14112*x^10 + 12112*x^9 + 9328*x^8 + 5504*x^7 + 3136*x^6 + 2016*x^5 + 1136*x^4 + 448*x^3 + 112*x^2 + 16*x + 1

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:37:49 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^0 )*((1+2*(x+x^4+x^9))^8)

Output: 256*x^72 + 2048*x^67 + 2048*x^64 + 1024*x^63 + 7168*x^62 + 14336*x^59 + 7168*x^58 + 14336*x^57 + 7168*x^56 + 7168*x^55 + 44800*x^54 + 21504*x^53 + 17920*x^52 + 43008*x^51 + 43008*x^50 + 82432*x^49 + 50176*x^48 + 35840*x^47 + 118272*x^46 + 109312*x^45 + 98560*x^44 + 107520*x^43 + 114688*x^42 + 197120*x^41 + 170240*x^40 + 114688*x^39 + 191744*x^38 + 226048*x^37 + 216160*x^36 + 197120*x^35 + 184576*x^34 + 258048*x^33 + 265472*x^32 + 190848*x^31 + 204288*x^30 + 245760*x^29 + 238464*x^28 + 204736*x^27 + 175168*x^26 + 195328*x^25 + 206080*x^24 + 156800*x^23 + 128576*x^22 + 140672*x^21 + 133952*x^20 + 105280*x^19 + 83440*x^18 + 78400*x^17 + 74848*x^16 + 56448*x^15 + 38528*x^14 + 35168*x^13 + 31808*x^12 + 21312*x^11 + 14112*x^10 + 12112*x^9 + 9328*x^8 + 5504*x^7 + 3136*x^6 + 2016*x^5 + 1136*x^4 + 448*x^3 + 112*x^2 + 16*x + 1

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:38:03 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^1 )*((1+2*(x+x^4+x^9))^8)

Output: -458752*x^84 + 340992*x^83 - 258048*x^82 + 193792*x^81 - 131072*x^80 - 3581952*x^79 + 2670592*x^78 - 2032128*x^77 - 2136064*x^76 - 148480*x^75 - 12843008*x^74 + 9607424*x^73 - 7240704*x^72 - 20214784*x^71 + 2531328*x^70 - 28114944*x^69 + 8271872*x^68 - 18766848*x^67 - 66291712*x^66 + 11448320*x^65 - 41795584*x^64 - 45385984*x^63 - 41896960*x^62 - 117350912*x^61 - 1921024*x^60 - 63318528*x^59 - 163620352*x^58 - 71450624*x^57 - 125547520*x^56 - 98561792*x^55 - 129652992*x^54 - 255630592*x^53 - 112759808*x^52 - 122873856*x^51 - 250145280*x^50 - 213468416*x^49 - 228375552*x^48 - 182759808*x^47 - 191992832*x^46 - 315813152*x^45 - 236438016*x^44 - 165856256*x^43 - 240984576*x^42 - 255093440*x^41 - 234010752*x^40 - 191450752*x^39 - 169216256*x^38 - 220122912*x^37 - 201012800*x^36 - 129539520*x^35 - 132719360*x^34 - 149707264*x^33 - 125158784*x^32 - 93963328*x^31 - 78408832*x^30 - 80018048*x^29 - 72262400*x^28 - 46106640*x^27 - 34028736*x^26 - 36534816*x^25 - 28545024*x^24 - 16292384*x^23 - 12860448*x^22 - 11666816*x^21 - 7537344*x^20 - 4017968*x^19 - 2515696*x^18 - 1583856*x^17 - 732928*x^16 - 208192*x^15 - 24288*x^14 - 816*x^13 - 768*x^12 + 1092*x^11 - 1680*x^10 - 2043*x^9 + 512*x^8 + 1016*x^7 + 96*x^6 - 210*x^5 - 64*x^4 + 12*x^3 + 8*x^2 + x

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:38:30 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^2 )*((1+2*(x+x^4+x^9))^8)

Output: 822083584*x^96 - 1222115328*x^95 + 1379045376*x^94 - 1381990400*x^93 + 1246136320*x^92 + 5521186816*x^91 - 8925857536*x^90 + 10388013056*x^89 - 4018561024*x^88 + 3169140736*x^87 + 20915702784*x^86 - 33068562432*x^85 + 37967077376*x^84 + 7530508288*x^83 - 10413779456*x^82 + 59309474816*x^81 - 60201288704*x^80 + 78961909760*x^79 + 59591625728*x^78 - 65731176448*x^77 + 126576579584*x^76 - 15990618112*x^75 + 86851241216*x^74 + 147200750592*x^73 - 108528795904*x^72 + 197084623872*x^71 + 142235215360*x^70 + 20608946176*x^69 + 214594286592*x^68 + 11897446912*x^67 + 222910184448*x^66 + 290600304640*x^65 - 16854383616*x^64 + 237081780992*x^63 + 264935636224*x^62 + 180876745728*x^61 + 277739642880*x^60 + 117373151744*x^59 + 254547566336*x^58 + 371499191296*x^57 + 143256623872*x^56 + 193212552448*x^55 + 283088128352*x^54 + 239677336064*x^53 + 239834478848*x^52 + 162980778496*x^51 + 179283244928*x^50 + 256040127872*x^49 + 165439451648*x^48 + 108801968384*x^47 + 154685338560*x^46 + 148463352768*x^45 + 111168174144*x^44 + 84769575168*x^43 + 75949439104*x^42 + 84252918400*x^41 + 64668856896*x^40 + 33792616576*x^39 + 35081588768*x^38 + 37891777472*x^37 + 21833460976*x^36 + 12608331328*x^35 + 13366283104*x^34 + 10365978624*x^33 + 5374389824*x^32 + 3092851552*x^31 + 2077659072*x^30 + 1115956224*x^29 + 401595904*x^28 + 47970256*x^27 - 11066320*x^26 + 8373760*x^25 - 2854720*x^24 - 1691808*x^23 + 7182336*x^22 + 1623680*x^21 - 3130840*x^20 - 1094448*x^19 + 428281*x^18 + 299136*x^17 + 68704*x^16 - 29664*x^15 - 21140*x^14 - 6048*x^12 + 4830*x^10 - 1472*x^8 + 252*x^6 - 24*x^4 + x^2

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:41:35 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^1 )*((1+2*(x+x^4+x^9))^16)

Output: -117440512*x^156 + 87293952*x^155 - 66060288*x^154 + 49610752*x^153 - 33554432*x^152 - 1856503808*x^151 + 1382023168*x^150 - 1048707072*x^149 - 1089470464*x^148 - 77856768*x^147 - 14091288576*x^146 + 10505748480*x^145 - 7935098880*x^144 - 22207266816*x^143 + 2805989376*x^142 - 68434264064*x^141 + 37009489920*x^140 - 41724411904*x^139 - 169606119424*x^138 + 29257367552*x^137 - 238668480512*x^136 - 18631229440*x^135 - 181075968000*x^134 - 770987786240*x^133 + 85511372800*x^132 - 684434128896*x^131 - 817855463424*x^130 - 667003387904*x^129 - 2402011316224*x^128 - 339285508096*x^127 - 1978075316224*x^126 - 4286944772096*x^125 - 2212656316416*x^124 - 5751105912832*x^123 - 3968944308224*x^122 - 6144273809408*x^121 - 13382443335680*x^120 - 7263321784320*x^119 - 12721518542848*x^118 - 17822634033152*x^117 - 18038885449728*x^116 - 30354791727104*x^115 - 23239379910656*x^114 - 30621441949696*x^113 - 51399122944000*x^112 - 45860637442048*x^111 - 58462594531328*x^110 - 65582734983168*x^109 - 75264561741824*x^108 - 109338000392192*x^107 - 101271836164096*x^106 - 111968466501632*x^105 - 152105910075392*x^104 - 163164322234368*x^103 - 191013214945280*x^102 - 200367516876800*x^101 - 219358059954176*x^100 - 285704491491328*x^99 - 296603780415488*x^98 - 306592025985024*x^97 - 357507412787200*x^96 - 395642223575040*x^95 - 447227315798016*x^94 - 464380777529344*x^93 - 479479710121984*x^92 - 562408827297792*x^91 - 606923720531968*x^90 - 616545982586880*x^89 - 654764752568320*x^88 - 701936750329856*x^87 - 764925342597120*x^86 - 789713191510016*x^85 - 785714055806976*x^84 - 842360040613888*x^83 - 898087929012224*x^82 - 903680027238912*x^81 - 907073617690624*x^80 - 926721841885184*x^79 - 965506048720896*x^78 - 978719500282880*x^77 - 949385613643776*x^76 - 948991808567296*x^75 - 972346787328000*x^74 - 960986690890240*x^73 - 926437218822144*x^72 - 901392392058880*x^71 - 894080359464960*x^70 - 877571838574592*x^69 - 829302452629504*x^68 - 784544907470848*x^67 - 763106291003392*x^66 - 731718432915456*x^65 - 679660163563520*x^64 - 629917538758144*x^63 - 593674847422464*x^62 - 558206153804800*x^61 - 509662530772992*x^60 - 459164478516224*x^59 - 421774979986432*x^58 - 387488828841984*x^57 - 345370704189440*x^56 - 303895638204928*x^55 - 271051236974080*x^54 - 242060405175808*x^53 - 210943236929536*x^52 - 180406607466496*x^51 - 155791769775104*x^50 - 135308815865344*x^49 - 114554699532288*x^48 - 94912654875392*x^47 - 79342511927296*x^46 - 66584297523520*x^45 - 54511129517056*x^44 - 43645917494272*x^43 - 35087423398912*x^42 - 28318295283584*x^41 - 22319651306752*x^40 - 17121902540032*x^39 - 13157723987456*x^38 - 10153971927360*x^37 - 7615319252608*x^36 - 5539172641152*x^35 - 4035288728064*x^34 - 2936249046016*x^33 - 2063725659904*x^32 - 1404762941056*x^31 - 952734543104*x^30 - 638870551296*x^29 - 410798466560*x^28 - 253500267808*x^27 - 153353150336*x^26 - 90239819584*x^25 - 50012152832*x^24 - 25818596416*x^23 - 12623355456*x^22 - 5831203072*x^21 - 2416531840*x^20 - 844752224*x^19 - 245830112*x^18 - 60220384*x^17 - 9622016*x^16 + 246656*x^15 - 469440*x^14 - 579936*x^13 + 370944*x^12 + 534612*x^11 + 115920*x^10 - 113643*x^9 - 84480*x^8 - 16744*x^7 + 6048*x^6 + 4830*x^5 + 1472*x^4 + 252*x^3 + 24*x^2 + x

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

************** PARI *****************
Host AC8DD6CF.ipt.aol.com. (172.141.214.207)
Time: Fri Dec 12 03:46:08 2003

Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^0 )*((1+2*(x+x^4+x^9))^24)

Output: 16777216*x^216 + 402653184*x^211 + 402653184*x^208 + 201326592*x^207 + 4630511616*x^206 + 9261023232*x^203 + 4630511616*x^202 + 33957085184*x^201 + 4630511616*x^200 + 4630511616*x^199 + 103028883456*x^198 + 50935627776*x^197 + 178274697216*x^196 + 101871255552*x^195 + 101871255552*x^194 + 738566602752*x^193 + 390506479616*x^192 + 764034416640*x^191 + 1095115997184*x^190 + 1073892818944*x^189 + 3832905990144*x^188 + 2495845761024*x^187 + 3327794348032*x^186 + 7665811980288*x^185 + 7398399934464*x^184 + 15688173355008*x^183 + 14172838428672*x^182 + 16592280748032*x^181 + 39231575556096*x^180 + 38329059901440*x^179 + 56245666971648*x^178 + 70834479693824*x^177 + 82579386531840*x^176 + 157817675710464*x^175 + 163240197750784*x^174 + 197833978281984*x^173 + 303620910219264*x^172 + 357293266829312*x^171 + 533910433824768*x^170 + 608005854855168*x^169 + 709461136113664*x^168 + 1105564167831552*x^167 + 1301841425989632*x^166 + 1631147687673856*x^165 + 2046787716120576*x^164 + 2447447364206592*x^163 + 3462862103117824*x^162 + 4084947920879616*x^161 + 4751573014020096*x^160 + 6260911861923840*x^159 + 7606121791488000*x^158 + 9603280697032704*x^157 + 11444026322452480*x^156 + 13313646708916224*x^155 + 17286764156682240*x^154 + 20820781691830272*x^153 + 24388318125883392*x^152 + 29415238797361152*x^151 + 34885878316793856*x^150 + 42996302616723456*x^149 + 50753728907575296*x^148 + 58006776624185344*x^147 + 69956072773779456*x^146 + 83109846583345152*x^145 + 97129146642006016*x^144 + 112718375452409856*x^143 + 129389416283111424*x^142 + 153183764527185920*x^141 + 178540387000909824*x^140 + 201984526009761792*x^139 + 231998751365922816*x^138 + 267278454406250496*x^137 + 307177885975707648*x^136 + 348920521791373312*x^135 + 390398165666758656*x^134 + 444013211604221952*x^133 + 505578058594385920*x^132 + 564860741414289408*x^131 + 628996308875083776*x^130 + 701672522844733440*x^129 + 785693024834813952*x^128 + 874371733422342144*x^127 + 958511771041792000*x^126 + 1054285622706438144*x^125 + 1166135892975550464*x^124 + 1279036860142714880*x^123 + 1391250117441355776*x^122 + 1508586611650854912*x^121 + 1641085785049923584*x^120 + 1783468527167471616*x^119 + 1916579601453416448*x^118 + 2050925176994529280*x^117 + 2202211060079788032*x^116 + 2359516171879317504*x^115 + 2510029946400800768*x^114 + 2654018541029425152*x^113 + 2806568789293793280*x^112 + 2970846460814295040*x^111 + 3123638369516912640*x^110 + 3261633429733244928*x^109 + 3404637551657598976*x^108 + 3553663428938956800*x^107 + 3692159745194065920*x^106 + 3810903551979290624*x^105 + 3922601210826326016*x^104 + 4039709247001657344*x^103 + 4145659439227863040*x^102 + 4225743906979971072*x^101 + 4293506105409601536*x^100 + 4360558137419268096*x^99 + 4416576756636942336*x^98 + 4447408494461976576*x^97 + 4458410440665989120*x^96 + 4465176180973043712*x^95 + 4463017515513249792*x^94 + 4436130615864655872*x^93 + 4388338224258711552*x^92 + 4333737324615401472*x^91 + 4271501044542971904*x^90 + 4190134221574078464*x^89 + 4089034936420024320*x^88 + 3980448504682315776*x^87 + 3867987754300538880*x^86 + 3742181904248291328*x^85 + 3601182828305154048*x^84 + 3454975034389266432*x^83 + 3308060303490269184*x^82 + 3154788102694395904*x^81 + 2992611822383800320*x^80 + 2828259847137263616*x^79 + 2667029530965606400*x^78 + 2505638311836008448*x^77 + 2341370564917469184*x^76 + 2178804373472641024*x^75 + 2022313691044061184*x^74 + 1870257781393711104*x^73 + 1720472585331470080*x^72 + 1575388642686566400*x^71 + 1438225799939309568*x^70 + 1308313476408147968*x^69 + 1183800104117157888*x^68 + 1065770217892706304*x^67 + 956240883268419584*x^66 + 854797132837748736*x^65 + 760017297722112000*x^64 + 672116838973340672*x^63 + 592060696712291328*x^62 + 519514728633483264*x^61 + 453367361533755392*x^60 + 393355218995300352*x^59 + 339782048801006592*x^58 + 292280301295519744*x^57 + 249991145149621248*x^56 + 212496181564302336*x^55 + 179727430863587584*x^54 + 151314163822586880*x^53 + 126631051756165632*x^52 + 105265501241595904*x^51 + 87013404671440896*x^50 + 71559145279704576*x^49 + 58471405877017600*x^48 + 47428209558647808*x^47 + 38226590370906624*x^46 + 30632367071845632*x^45 + 24373342804215552*x^44 + 19236695936916480*x^43 + 15072623762898944*x^42 + 11731338458476032*x^41 + 9058307271233280*x^40 + 6930783814000640*x^39 + 5258443978267392*x^38 + 3958489406944512*x^37 + 2952619444359200*x^36 + 2179257222680064*x^35 + 1592535785592576*x^34 + 1152831158882304*x^33 + 825404781134592*x^32 + 583625599854720*x^31 + 407708653146624*x^30 + 281462990217216*x^29 + 191676193357440*x^28 + 128534780186944*x^27 + 84877343485632*x^26 + 55182291504384*x^25 + 35244437635840*x^24 + 22061526159744*x^23 + 13523447854272*x^22 + 8110413868160*x^21 + 4744772626368*x^20 + 2697825064896*x^19 + 1487286918352*x^18 + 793229224128*x^17 + 407488018464*x^16 + 200343312768*x^15 + 93703589760*x^14 + 41469483552*x^13 + 17231109824*x^12 + 6631997376*x^11 + 2319457632*x^10 + 721175536*x^9 + 195082320*x^8 + 44981376*x^7 + 8662720*x^6 + 1362336*x^5 + 170064*x^4 + 16192*x^3 + 1104*x^2 + 48*x + 1

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

************** PARI *****************
Time: Fri Dec 12 10:58:53 2003

Input: 130475260650438030173474313895577390123

Output: 130475260650438030173474313895577390123

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

************** PARI *****************
Time: Fri Dec 12 10:59:11 2003

Input: 130475260650438030173474313895577390123

Output: 130475260650438030173474313895577390123

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

************** PARI *****************
Host CPE-24-164-246-39.new.rr.com. (24.164.246.39)
Time: Sat Dec 13 08:27:14 2003

Input: (exp(1.92*ln(2^512)^(1/3)*ln(ln(2^512)^(2/3))))/(365*24*3600*10^6)

Output:
Errors (if any) and Timing Info:  ***   obsolete function: ...(1.92*ln(2^512)^(1/3)*ln(ln(2^512)^(2/3))))/(
^--------------------
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	0m0.074s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host CPE-24-164-246-39.new.rr.com. (24.164.246.39)
Time: Sat Dec 13 08:27:53 2003

Input:
(exp(1.92*log((2^512)^(1/3))*log(log((2^512)^(2/3)))))+0/(365*24*60*60*10^6)

Output: 1.616876567529328272342493588 E539

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

************** PARI *****************
Host CPE-24-164-246-39.new.rr.com. (24.164.246.39)
Time: Sat Dec 13 08:28:05 2003

Input: (e^(1.92*log((2^512)^(1/3))*log(log((2^512)^(2/3)))))+0/(365*24*60*60*10^6)

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host CPE-24-164-246-39.new.rr.com. (24.164.246.39)
Time: Sat Dec 13 08:30:28 2003

Input: 1*1.9

Output: 1.899999999999999999999999999

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

************** PARI *****************
Host CPE-24-164-246-39.new.rr.com. (24.164.246.39)
Time: Sat Dec 13 08:43:24 2003

Input: 1*1.7

Output: 1.699999999999999999999999999

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

************** PARI *****************
Host CPE-24-164-246-39.new.rr.com. (24.164.246.39)
Time: Sat Dec 13 08:43:33 2003

Input: e

Output: e

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

************** PARI *****************
Host geo.math.u-psud.fr. (129.175.50.56)
Time: Sat Dec 13 09:40:39 2003

Input: bnfinit(x^2-2).clgp

Output: [1, [], []]

Errors (if any) and Timing Info:
Timing:
real	0m0.094s
user	0m0.060s
sys	0m0.030s

************** PARI *****************
Time: Sat Dec 13 12:35:39 2003

Input: 123^12

Output: 11991163848716906297072721

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

************** PARI *****************
Time: Sat Dec 13 12:35:58 2003

Input: 123^12

Output: 11991163848716906297072721

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

************** PARI *****************
Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22)
Time: Sat Dec 13 20:58:55 2003

Input: 2*12314

Output: 24628

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

************** PARI *****************
Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22)
Time: Sat Dec 13 20:59:11 2003

Input: 2^1231

Output: 36976403076012328632505586964512948848292460891921624029944525881332168849529865532631729656047256273305455969883869499140102612416297720117128401560355118117670263833180471897936965851491150482647751902290486509669497924148901116108456581999200310987889213568675333578065137576474283792529095762414637256110936726127890924781732577346577379376235409117641193080013979648

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

************** PARI *****************
Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22)
Time: Sat Dec 13 20:59:27 2003

Input: IsPrime(123411)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: IsPrime(123411)
^---------------

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

************** PARI *****************
Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22)
Time: Sat Dec 13 20:59:40 2003

Input: Isprime(123411)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Isprime(123411)
^---------------

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

************** PARI *****************
Host px1wh.vc.shawcable.net. (24.69.255.202)
Time: Sun Dec 14 00:52:18 2003

Input: N:=19;
A:=SortDecomposition(NewformDecomposition(NewSubspace(CuspidalSubspace(ModularSymbols(N,2,+1)))));  #A; i:=1; p:=2;  rp:=[]; Include(~rp,<i,p>);
f1:=Factorization(Numerator(Evaluate(CharacteristicPolynomial(DualHeckeOperator(A[i],p)),+(p+1)))); for j in [1..#f1] do Include(~rp,f1[j]); end for;
f2:=Factorization(Numerator(Evaluate(CharacteristicPolynomial(DualHeckeOperator(A[i],p)),-(p+1)))); for j in [1..#f2] do Include(~rp,f2[j]); end for;
for j in [1..#rp] do printf "%o",rp[j]; end for;
B:=SortDecomposition(NewformDecomposition(NewSubspace(CuspidalSubspace(ModularSymbols(N*p,2,+1)))));
for k in [1..#B] do g:=Order(CongruenceGroupAnemic(A[i],B[k],200));
if g ge 2 and Numerator(g/2) ge 3 then print [ N*p, k, g ]; end if; end for;

Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.

************** PARI *****************
Host www.reeltwo.co.nz. (210.54.213.182)
Time: Sun Dec 14 17:48:07 2003

Input: Factorization(4*(x-1)^651+1);

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Factorization(4*(x-1
^--------------------

Timing:
real	0m0.096s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host www.reeltwo.co.nz. (210.54.213.182)
Time: Sun Dec 14 17:48:21 2003

Input: 4*(x-1)^651+1

Output: 4*x^651 - 2604*x^650 + 846300*x^649 - 183082900*x^648 + 29659429800*x^647 - 3837930216120*x^646 + 413217153268920*x^645 - 38075009122636200*x^644 + 3065038234372214100*x^643 - 218979953855703740700*x^642 + 14058513037536180152940*x^641 - 819227896096426498003140*x^640 + 43692154458476079893500800*x^639 - 2147637438382016542457462400*x^638 + 97870906120551896720561500800*x^637 - 4156251146586103880733178400640*x^636 + 165210983076797629259143841425440*x^635 - 6171116132574499681150372900303200*x^634 + 217360423780679599880518689932901600*x^633 - 7241534118587904564440438459343511200*x^632 + 228832478147377784236317855315254953920*x^631 - 6875871129095018183481741271615517901120*x^630 + 196899945969539157072431681868989830804800*x^629 - 5384785478906092599937370778069330590270400*x^628 + 140901886698042756365027868692814150445408800*x^627 - 3533819318386912329634898946815778893170852704*x^626 + 85083495896546427628901797719487599504805915104*x^625 - 1969525367975611750669023095358509247796433220000*x^624 + 43892279629170776157766800410846777522320511760000*x^623 - 942927248585289432630645401929570427462264787120000*x^622 + 19550024954001667569875381333339760196050956586288000*x^621 - 391631145046291469706213284129161002637020775486608000*x^620 + 7587853435271897225557882380002494426092277525053030000*x^619 - 142329735649494072200616036158228607568215751151752290000*x^618 + 2587052253864333429999432657228978808151686300346556330000*x^617 - 45606035446694106465989998557436569275131155637537864446000*x^616 + 780369939865654710640273308649470185374466440908981236076000*x^615 - 12971013865334531001182921211335788216359374625919552978020000*x^614 + 209584276666194790387534569046320367495912000534594882329060000*x^613 - 3294234912727625807886120277574215007051129649428375970967020000*x^612 + 50401794164732674860657640246885489607882283636254152355795406000*x^611 - 751109664259796691216141907093830101229660373213446026570512026000*x^610 + 10908973695201809086710632460172294327383162563338144671619341330000*x^609 - 154501511171579110088529655075463424311077813978440235000376252790000*x^608 + 2134929972552729521223318870133676408662166156792992338187017311280000*x^607 - 28797833185322373764056767870469812890176330159407696650655989065488000*x^606 + 379380150224029532630834811510971882857540349491327481962989768993168000*x^605 - 4883510444373146111524575765194425300613019392388364395481038515763120000*x^604 + 61450839758362088570017578378696518366047160687553585309803067990019260000*x^603 - 756221558659027334851440811476612256627070161114179835547168367305747220000*x^602 + 9104907566254689111611347370178411569789924739814725219987907142361196528800*x^601 - 107295087202334669727027838617200497126347936639777448180641807697236845368800*x^600 + 1238020236950015419927244291736928812996322345843585940545867011891194369640000*x^599 - 13991964564774702576158855297177742622354661984156754309188195096657083536120000*x^598 + 154948052032134669269314730883560927558668293824550723646195197551869184344440000*x^597 - 1681890673876079955523288987954288613682272207513759673032336962517561873702376000*x^596 + 17900122171966850955212147086084928817047039922825013662987014815365479941546716000*x^595 - 186852152496846952953530307302114607827069978141769879464513575704253694126671860000*x^594 + 1913623768674605000937879354094070293953095983038126006929673516695287832952466980000*x^593 - 19233540590237979077223092491148876005325185049857774951005023650852638727810388460000*x^592 + 189770933823681393561934512579335576585875159158596712849916233355079368781062499472000*x^591 - 1838600358849109895001693392367005340364790476438207496627876949391014868026359626032000*x^590 + 17496358253564110291145146798331179851858490017718426177587861292591915679605680312240000*x^589 - 163577063672210491452134785146302617980073819372002428866654766687883148179170566728720000*x^588 + 1502864272488433890216488338531655302691928215480272315212390668944926423896129581820115000*x^587 - 13572020430010933747031979303355102502771720961337228446610358810318027858877354838898577000*x^586 + 120503090484642532966071816238880152524609522474903270753237428224944914019729241448402517000*x^585 - 1052153849753968384853015111936490883983530905191319602845431276292429473157337406676350335000*x^584 + 9036144827298787305208247431925157003623265421054862471496056843452629592998309492632185230000*x^583 - 76348875859640478245455192069744442508874836818478040882350741155549029749536441075428463610000*x^582 + 634786367861582261983641739779875222002359357547917425621830447893279075917574410084276654586000*x^581 - 5194519432782806960739378180452218365962968827258310201215260425718241452226911721957249807246000*x^580 + 41844739875194833850400546453642870170257248886247498843122931207174722809605677760211179002815000*x^579 - 331891840927915189032628991735057833268204754864894545618742152999372116530982019495373597844245000*x^578 + 2592344379139661881903507530038694967959761463674446586049094113968068693985237936058458642621265000*x^577 - 19943769423514465411444317931097693286837098193868742402004364050127675152393097188076408490566265400*x^576 + 151152778788741211539367462214635149121291691574584152941506759116757116944452947109631727507449590400*x^575 - 1128738283162677878378393386667730009671983411108907635602160863534225223935849929714782380737448240000*x^574 + 8306356083786885925502535948042013148098954845852730549174876098315965109476639226362629314657631920000*x^573 - 60247367544428932092569026559849032074186090211058412717432962080190481110507775654503627813909153040000*x^572 + 430768677942666864461868539902920579330430545009067650929645678873361939940130595929700938869450444236000*x^571 - 3036653272904478760589221435611946306144146187656513934331205958477650218590303336739002914746372884676000*x^570 + 21108443482384791384583612418278163347587357645905035884985212150393422251176498804161361724456494442260000*x^569 - 144707281222613810817205728506027408973219355427951390585019104982817557360475033970696564111033076357180000*x^568 + 978496853981483863621105402278852003533197546227099879193938709883813959294640705897091052560318897272360000*x^567 - 6527149602441192360860785448142459835333211867185478017681920570636735469647779767572360315314127232393272000*x^566 + 42957752034671103212176797251728282172076719963104425093115895848609212509542364516813441144974372250402232000*x^565 - 278978504592979003619309085600304361232452261829356323880580243154760977791855585655167749964488739327324840000*x^564 + 1787998597618638159560117321347405224262534950815420075780082467491877175847801708062666033863314192961491020000*x^563 - 11310597870329138020588157886725720688312440194484061827687487968516032022497891703812145809719616748733926340000*x^562 + 70628400034721950750783830359331722520351015436667141635115202647844555518264612639360288278471384586538517812000*x^561 - 435412444170099059024062954193242816856229886373299631398897018521327424678532392205287051914532381901627565852000*x^560 + 2650336616687559489711687547263217146081399308359215147645460112738514758912805865597399446436284063749037357360000*x^559 - 15930517943315545749987455257205789082360238853470981371331314010976663980992026654504798823203040770276471857680000*x^558 + 94566266089043346047797872697030109659117162555710719204285885299201898950995222055464656844120178189513524431760000*x^557 - 554456949595759407880246474655218642948718521510851269439865664333215344375835144051513830128157255279568769563056000*x^556 + 3211229833075439903973094165711474640411328103750346935505888639263205536176711875965017599492244103494169123719366000*x^555 - 18373531519142980893866672803813076550807083480221057208306888606093598686371908156294688326991705952982101687260290000*x^554 + 103866698587808279746960578911351473562725757633086384626551186609957690533163644067216911562789847938286574844308170000*x^553 - 580184690091494734344133334727044089698862060314108794934169759548551544089287829991625778729523089998711877665680990000*x^552 + 3202619489305050933579616007693283375137718572933880548036617072708004523372868821553774298586967456792889564714559064800*x^551 - 17471716223832505588142261586524743957434484491946219623447287198634757350281690303724055826944743254384971783739822224800*x^550 + 94210234540273314445865136005770678201852612456572752871529489796559966104460094774982653968819694018742494912322570820000*x^549 - 502149696724369413891067569584156333328321206200567391519123202896227392149015456616169679892058369090190579678301858060000*x^548 + 2645942632739946527041394501270362217922307894210682024543072261414736643246735290631355620969692175590619592920282867470000*x^547 - 13784101143892864288491836116141791744795261125078505404048195495179628036723468609289062139718301143314942069784711700058000*x^546 + 71001124760051923599212665277485078232624646927291169345380327739321480264632206232753093663077287021226022359457099888978000*x^545 - 361641242936713068799728061460087548007293762386669974703105407644207539665650022400471364919412349781011048466393639621430000*x^544 + 1821600334792332494694926531798959501073775988318041354060086497763415755352903816535707615890373317415463058941834629204240000*x^543 - 9074577814607674721278395474925091826450095061070609681235109800784722524372722682375130600261217535381618724820332143650480000*x^542 + 44712919777430542717571730430994543363054104755457004065722086472957450983727415398612007139468908219789430444114727471441456000*x^541 - 217925131527837149641498253722234666301011447501821974770771610647477306145914700276117980742816931053207944777171779838286736000*x^540 + 1050710455580643400057223723303631426808448050455213092644791694193194154632088733474140264295724489006538305175649652791739620000*x^539 - 5011795889893511439211005193457144593360650435357166875535776311240103091563679887987270818189340704199328729997125334997766860000*x^538 + 23652159550550080300837901702455647291473946791422419114370593468834872
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.128s
user	0m0.090s
sys	0m0.030s

************** PARI *****************
Host www.reeltwo.co.nz. (210.54.213.182)
Time: Sun Dec 14 17:48:58 2003

Input: factor(4*(x-1)^651+1)

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.163s
user	0m20.850s
sys	0m0.150s

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:12:51 2003

Input: 12^2

Output: 144

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

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:13:31 2003

Input: 1766319049^2

12^2

Output: 3119882982860264401
144

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

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:15:07 2003

Input: 2*3119882982860264401
1766319049^2

12^2

Output: 6239765965720528802
3119882982860264401
144

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

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:16:43 2003

Input: 226153980^2
2*3119882982860264401
1766319049^2

12^2

Output: 51145622669840400
6239765965720528802
3119882982860264401
144

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

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:17:14 2003

Input: 2*51145622669840400

226153980^2
2*3119882982860264401
1766319049^2

12^2

Output: 102291245339680800
51145622669840400
6239765965720528802
3119882982860264401
144

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

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:19:33 2003

Input: 61*51145622669840400

226153980^2
2*3119882982860264401
1766319049^2

12^2

Output: 3119882982860264400
51145622669840400
6239765965720528802
3119882982860264401
144

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host roam143-217.student.harvard.edu. (140.247.143.217)
Time: Mon Dec 15 00:19:59 2003

Input: 2*3119882982860264400
61*51145622669840400

226153980^2
2*3119882982860264401
1766319049^2

12^2

Output: 6239765965720528800
3119882982860264400
51145622669840400
6239765965720528802
3119882982860264401
144

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

************** PARI *****************
Host 3(NXDOMAIN) (220.73.165.141)
Time: Mon Dec 15 04:43:52 2003

Input: er32r32r32

Output: er32r32r32

Errors (if any) and Timing Info:
Timing:
real	0m0.129s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (220.73.165.141)
Time: Mon Dec 15 04:43:57 2003

Input: er32r32r32

Output: er32r32r32

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

************** PARI *****************
Time: Mon Dec 15 16:56:48 2003

Input: 2^66

Output: 73786976294838206464

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

************** PARI *****************
Host fw.math.ku.dk. (130.225.103.21)
Time: Wed Dec 17 09:06:00 2003

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host fw.math.ku.dk. (130.225.103.21)
Time: Wed Dec 17 09:08:39 2003

Input: print 2^5;

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

************** PARI *****************
Host fw.math.ku.dk. (130.225.103.21)
Time: Wed Dec 17 09:09:03 2003

Input: print 2+6;

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

************** PARI *****************
Host 2(SERVFAIL) (208.253.20.58)
Time: Wed Dec 17 17:41:02 2003

Input: (1+(2*(-(x^2)+x^8)))^24

Output: 16777216*x^192 - 402653184*x^186 + 201326592*x^184 + 4630511616*x^180 - 4630511616*x^178 + 1157627904*x^176 - 33957085184*x^174 + 50935627776*x^172 - 25467813888*x^170 + 182519332864*x^168 - 356549394432*x^166 + 267412045824*x^164 - 802236137472*x^162 + 1793889140736*x^160 - 1782746972160*x^158 + 3149519650816*x^156 - 6997281865728*x^154 + 8490332454912*x^152 - 11452026978304*x^150 + 22440327512064*x^148 - 30908375629824*x^146 + 37778583715840*x^144 - 62058695491584*x^142 + 90184712454144*x^140 - 108945471438848*x^138 + 152742417924096*x^136 - 219020015960064*x^134 + 268633705021440*x^132 - 338041456558080*x^130 + 456596965490688*x^128 - 564235943804928*x^126 + 668370940723200*x^124 - 835720741650432*x^122 + 1017119575113728*x^120 - 1166798053441536*x^118 + 1358978068512768*x^116 - 1592456085241856*x^114 + 1783787978096640*x^112 - 1966482851364864*x^110 + 2189557495234560*x^108 - 2382935202988032*x^106 + 2520614358614016*x^104 - 2661444517101568*x^102 + 2787460288217088*x^100 - 2845212445114368*x^98 + 2862395318452224*x^96 - 2864098013872128*x^94 + 2816336366665728*x^92 - 2713827304865792*x^90 + 2587918114652160*x^88 - 2438975535710208*x^86 + 2254927959916544*x^84 - 2051263211864064*x^82 + 1844191673229312*x^80 - 1632046970109952*x^78 + 1417671754481664*x^76 - 1212846823981056*x^74 + 1022742300270592*x^72 - 847087220981760*x^70 + 688754387853312*x^68 - 550961489633280*x^66 + 433239388057344*x^64 - 334024157626368*x^62 + 252537545457664*x^60 - 187414622140416*x^58 + 136323519298560*x^56 - 96994198781952*x^54 + 67501947036672*x^52 - 45955015468032*x^50 + 30548775923968*x^48 - 19786651748352*x^46 + 12479463877632*x^44 - 7659169244672*x^42 + 4563140254464*x^40 - 2631007368192*x^38 + 1465340960512*x^36 - 786945772800*x^34 + 405954571296*x^32 - 200031163392*x^30 + 93651807744*x^28 - 41462680704*x^26 + 17230429760*x^24 - 6631948800*x^22 + 2319455424*x^20 - 721175488*x^18 + 195082320*x^16 - 44981376*x^14 + 8662720*x^12 - 1362336*x^10 + 170064*x^8 - 16192*x^6 + 1104*x^4 - 48*x^2 + 1

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.040s
sys	0m0.040s

************** PARI *****************
Host 2(SERVFAIL) (208.253.20.58)
Time: Wed Dec 17 17:56:15 2003

Input: ((1+(2*(-(x^2)+x^8)))^16)*(x^2)*(2*(1+(x^2)+(x^6)+(x^12)))^8

Output: 16777216*x^226 - 134217728*x^220 + 134217728*x^218 + 134217728*x^216 + 469762048*x^214 - 939524096*x^212 - 704643072*x^210 + 3288334336*x^206 + 1811939328*x^204 - 5167382528*x^202 - 6442450944*x^200 - 905969664*x^198 + 20434649088*x^196 + 7075790848*x^194 - 13153337344*x^192 - 43687870464*x^190 - 117440512*x^188 + 63359156224*x^186 + 55062822912*x^184 - 30828134400*x^182 - 160482459648*x^180 - 27009220608*x^178 + 133395644416*x^176 + 253478567936*x^174 - 53758394368*x^172 - 365825097728*x^170 - 238932721664*x^168 + 221478125568*x^166 + 684588007424*x^164 + 66442362880*x^162 - 588477628416*x^160 - 860562128896*x^158 + 225703886848*x^156 + 1207571054592*x^154 + 671444107264*x^152 - 676063084544*x^150 - 1801246474240*x^148 - 194017886208*x^146 + 1456095625216*x^144 + 1875382370304*x^142 - 369792647168*x^140 - 2456027004928*x^138 - 1308591915008*x^136 + 1111805526016*x^134 + 3022343503872*x^132 + 533196816384*x^130 - 2179746758656*x^128 - 2656664027136*x^126 + 172436160512*x^124 + 3127479599104*x^122 + 1726455349248*x^120 - 1037446316032*x^118 - 3190836461568*x^116 - 891219746816*x^114 + 2014416273408*x^112 + 2372415094784*x^110 + 200829124608*x^108 - 2451209363456*x^106 - 1445012602880*x^104 + 575440904192*x^102 + 2029948297216*x^100 + 802023604480*x^98 - 1158674055168*x^96 - 1263743401984*x^94 - 246921558016*x^92 + 1140855324672*x^90 + 711258376192*x^88 - 241467677696*x^86 - 729543901184*x^84 - 359956072448*x^82 + 422698938368*x^80 + 378505845760*x^78 + 61765623808*x^76 - 300361037312*x^74 - 189740832768*x^72 + 100027361280*x^70 + 137251172352*x^68 + 64623127552*x^66 - 93872388096*x^64 - 61367228416*x^62 + 13980366848*x^60 + 39683241472*x^58 + 22634020864*x^56 - 25941608448*x^54 - 12094480384*x^52 + 1919378176*x^50 + 8792211456*x^48 + 4115268608*x^46 - 5696008192*x^44 - 1339649024*x^42 + 204015616*x^40 + 1848644608*x^38 + 377542656*x^36 - 1354178048*x^34 + 129239040*x^32 + 293380096*x^30 + 128708608*x^28 - 157118976*x^26 - 93206528*x^24 + 136678400*x^22 - 29667328*x^20 - 29092608*x^18 + 21626880*x^16 - 4286464*x^14 - 1548288*x^12 + 1236480*x^10 - 376832*x^8 + 64512*x^6 - 6144*x^4 + 256*x^2

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

************** PARI *****************
Host 2(SERVFAIL) (208.253.20.58)
Time: Wed Dec 17 18:00:02 2003

Input: ((1+(2*(-(x^2)+x^8)))^8)*(x^4)*(2*(1+(x^2)+(x^6)+(x^12)))^16

Output: 16777216*x^260 + 134217728*x^254 + 67108864*x^252 + 268435456*x^250 + 603979776*x^248 + 603979776*x^246 + 1996488704*x^244 + 2818572288*x^242 + 5033164800*x^240 + 8690597888*x^238 + 12096372736*x^236 + 23957864448*x^234 + 33034338304*x^232 + 52965670912*x^230 + 82818629632*x^228 + 110394081280*x^226 + 180153745408*x^224 + 245626830848*x^222 + 351293931520*x^220 + 497142464512*x^218 + 644131848192*x^216 + 925108273152*x^214 + 1184411680768*x^212 + 1580053037056*x^210 + 2065195597824*x^208 + 2509588398080*x^206 + 3304573632512*x^204 + 3981321437184*x^202 + 4922467680256*x^200 + 5990756909056*x^198 + 6843845902336*x^196 + 8305879547904*x^194 + 9314508996608*x^192 + 10790032637952*x^190 + 12222063443968*x^188 + 12909355728896*x^186 + 14603661082624*x^184 + 15070629199872*x^182 + 16189014147072*x^180 + 17109985787904*x^178 + 16453603950592*x^176 + 17211347435520*x^174 + 15835534196736*x^172 + 15742641635328*x^170 + 15360339214336*x^168 + 12673773207552*x^166 + 12470543974400*x^164 + 9030373212160*x^162 + 7880243675136*x^160 + 7377284759552*x^158 + 3946810441728*x^156 + 4043309056000*x^154 + 284401074176*x^152 - 391911571456*x^150 + 334729183232*x^148 - 1966042251264*x^146 + 257206779904*x^144 - 2871121674240*x^142 - 3025322639360*x^140 - 640799473664*x^138 - 2100005175296*x^136 + 1411866689536*x^134 - 640533397504*x^132 - 1563748728832*x^130 + 310127362048*x^128 - 1049037373440*x^126 + 2667686920192*x^124 + 1004967821312*x^122 - 721017110528*x^120 + 479113248768*x^118 - 1824808108032*x^116 + 1376422723584*x^114 + 1492359577600*x^112 - 537074335744*x^110 + 100501291008*x^108 - 1900064800768*x^106 - 17116954624*x^104 + 1055614042112*x^102 + 174572371968*x^100 + 696422236160*x^98 - 1373408067584*x^96 - 637577199616*x^94 + 738467250176*x^92 + 114702680064*x^90 + 867025551360*x^88 - 241053990912*x^86 - 890054115328*x^84 + 73503080448*x^82 + 77220806656*x^80 + 469064744960*x^78 + 183506305024*x^76 - 368587046912*x^74 - 148800798720*x^72 - 173944078336*x^70 + 202099523584*x^68 + 289659682816*x^66 - 135320305664*x^64 - 37030461440*x^62 - 74941726720*x^60 - 95041880064*x^58 + 157343023104*x^56 + 47160754176*x^54 - 57841680384*x^52 + 7160725504*x^50 - 40285765632*x^48 - 12624855040*x^46 + 43986452480*x^44 + 3288334336*x^42 - 9116319744*x^40 + 601882624*x^38 - 7608139776*x^36 - 579862528*x^34 + 5646581760*x^32 + 155189248*x^30 - 1115160576*x^28 - 19922944*x^26 - 395313152*x^24 + 1048576*x^22 + 316538880*x^20 - 96468992*x^16 + 16515072*x^12 - 1572864*x^8 + 65536*x^4

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 2(SERVFAIL) (208.253.20.58)
Time: Wed Dec 17 18:11:00 2003

Input: (x^6)*(2*(1+(x^2)+(x^6)+(x^12)))^24

Output: 16777216*x^294 + 402653184*x^288 + 402653184*x^284 + 5033164800*x^282 + 9261023232*x^278 + 43218108416*x^276 + 4630511616*x^274 + 111132278784*x^272 + 284776464384*x^270 + 101871255552*x^268 + 916841299968*x^266 + 1562025918464*x^264 + 1171519438848*x^262 + 5806661566464*x^260 + 7640344166400*x^258 + 9270284255232*x^256 + 30128423829504*x^254 + 35043711909888*x^252 + 56334804320256*x^250 + 134062572306432*x^248 + 153592140922880*x^246 + 279534725234688*x^244 + 529781464498176*x^242 + 637170746392576*x^240 + 1179108847386624*x^238 + 1908150487744512*x^236 + 2455317979856896*x^234 + 4353060620992512*x^232 + 6369423849947136*x^230 + 8671222619439104*x^228 + 14379229592420352*x^226 + 19862653665017856*x^224 + 27930731309170688*x^222 + 43211239823769600*x^220 + 57965526965551104*x^218 + 82169891867590656*x^216 + 119560855263117312*x^214 + 158098502348439552*x^212 + 221777579009376256*x^210 + 307040075366006784*x^208 + 402299106191474688*x^206 + 552134098609504256*x^204 + 735397235184893952*x^202 + 954195146340040704*x^200 + 1274396240095739904*x^198 + 1647063424435224576*x^196 + 2109896933467226112*x^194 + 2738552567221977088*x^192 + 3453992951787552768*x^190 + 4353418698455777280*x^188 + 5496169372143583232*x^186 + 6786248539996422144*x^184 + 8392953467051704320*x^182 + 10324350143364595712*x^180 + 12496769474843639808*x^178 + 15138907382945415168*x^176 + 18177110845719314432*x^174 + 21575080567193468928*x^172 + 25577738066303385600*x^170 + 30018150794629480448*x^168 + 34930022053677367296*x^166 + 40510940907023892480*x^164 + 46514703358431854592*x^162 + 53040010020180197376*x^160 + 60176260339410665472*x^158 + 67632458978572632064*x^156 + 75538622346877206528*x^154 + 83843145836166905856*x^152 + 92252288471707680768*x^150 + 100881144573931290624*x^148 + 109547220804575428608*x^146 + 117991540543157436416*x^144 + 126280145461410004992*x^142 + 134150195468480544768*x^140 + 141405178760362196992*x^138 + 148058390378657611776*x^136 + 153839672542749523968*x^134 + 158633476854539878400*x^132 + 162428043461828542464*x^130 + 165016424385318223872*x^128 + 166374220381166764032*x^126 + 166507080490640474112*x^124 + 165317022928192143360*x^122 + 162869931595534434304*x^120 + 159222208528543383552*x^118 + 154393657305974439936*x^116 + 148523911845660065792*x^114 + 141726826286259634176*x^112 + 134113074981371904000*x^110 + 125863079146634084352*x^108 + 117125929304730894336*x^106 + 108053757974431137792*x^104 + 98825463957165178880*x^102 + 89586777813877260288*x^100 + 80479046965087174656*x^98 + 71641212761912901632*x^96 + 63179709692503916544*x^94 + 55188020342839836672*x^92 + 47743190344033894400*x^90 + 40894036107709120512*x^88 + 34673548446652170240*x^86 + 29096695788715638784*x^84 + 24158155600425910272*x^82 + 19840268697587417088*x^80 + 16113163400489467904*x^78 + 12936284083926859776*x^76 + 10263481548011470848*x^74 + 8044247132867133440*x^72 + 6225811560531492864*x^70 + 4756067290196213760*x^68 + 3584626045254369280*x^66 + 2664106921706913792*x^64 + 1951360671811633152*x^62 + 1407797897163964416*x^60 + 999676638432067584*x^58 + 698201451326865408*x^56 + 479236754948227072*x^54 + 322970397098115072*x^52 + 213492002375860224*x^50 + 138264489941270528*x^48 + 87614875748007936*x^46 + 54243489315028992*x^44 + 32755735989321728*x^42 + 19254815666208768*x^40 + 10993169130848256*x^38 + 6079729010475008*x^36 + 3246655436488704*x^34 + 1667743585665024*x^32 + 820265034448896*x^30 + 384063894454272*x^28 + 169972189888512*x^26 + 70470212780032*x^24 + 27059552256000*x^22 + 9483287789568*x^20 + 2976278118400*x^18 + 814970044416*x^16 + 187535720448*x^14 + 34359738368*x^12 + 4630511616*x^10 + 402653184*x^8 + 16777216*x^6

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

************** PARI *****************
Host amat72.us.es. (150.214.148.72)
Time: Thu Dec 18 04:16:43 2003

Input: 2^35

Output: 34359738368

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

************** PARI *****************
Host com2pc6.postech.ac.kr. (141.223.34.207)
Time: Thu Dec 18 04:47:12 2003

Input: j(

Output:
Errors (if any) and Timing Info:  ***   unexpected character: j(
^

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

************** PARI *****************
Host koch.mat.uniroma3.it. (193.204.165.149)
Time: Thu Dec 18 08:55:21 2003

Input: 2*2;

Output:
Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host koch.mat.uniroma3.it. (193.204.165.149)
Time: Thu Dec 18 08:55:29 2003

Input: 2

Output: 2

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

************** PARI *****************
Host koch.mat.uniroma3.it. (193.204.165.149)
Time: Thu Dec 18 08:55:35 2003

Input: 2+1

Output: 3

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

************** PARI *****************
Host koch.mat.uniroma3.it. (193.204.165.149)
Time: Thu Dec 18 08:55:51 2003

Input: gcd(2,3)

Output: 1

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

************** PARI *****************
Host koch.mat.uniroma3.it. (193.204.165.149)
Time: Thu Dec 18 08:56:00 2003

Input: gcd(24,36)

Output: 12

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

************** PARI *****************
Host koch.mat.uniroma3.it. (193.204.165.149)
Time: Thu Dec 18 08:56:50 2003

Input: gcd(24,36)

Output: 12

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

************** PARI *****************
Host c-67-167-40-134.client.comcast.net. (67.167.40.134)
Time: Thu Dec 18 13:12:46 2003

Input: prod(i=1,10,i^2)

Output: 13168189440000

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

************** PARI *****************
Host c-67-167-40-134.client.comcast.net. (67.167.40.134)
Time: Thu Dec 18 13:13:21 2003

Input: hilbert(3)

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: hilbert(3)
^-

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

************** PARI *****************
Host hal.reed.edu. (134.10.15.54)
Time: Thu Dec 18 13:15:50 2003

Input: 1+1

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host ts23-a184.Moscow.dial.rol.ru. (212.46.254.184)
Time: Thu Dec 18 19:00:52 2003

Input: 3462346256745357586784674865678456783568358656

Output: 3462346256745357586784674865678456783568358656

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

************** PARI *****************
Host ts23-a184.Moscow.dial.rol.ru. (212.46.254.184)
Time: Thu Dec 18 19:02:03 2003

Input: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609

Output: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609

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

************** PARI *****************
Host ts23-a184.Moscow.dial.rol.ru. (212.46.254.184)
Time: Thu Dec 18 19:02:46 2003

Input: 31074182404900437213507500358885679300373460228427275457201619488232064405180815

Output: 31074182404900437213507500358885679300373460228427275457201619488232064405180815

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145)
Time: Thu Dec 18 20:54:35 2003

Input: polgalois(x^3+x+1)

Output: [6, -1, 1]

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

************** PARI *****************
Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145)
Time: Thu Dec 18 20:55:00 2003

Input: polgalois(x^6+x+1)

Output: [720, -1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145)
Time: Thu Dec 18 20:55:08 2003

Input: polgalois(x^8+x+1)

Output:
Errors (if any) and Timing Info:  ***   sorry, galois of reducible polynomial is not yet implemented.

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

************** PARI *****************
Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145)
Time: Thu Dec 18 20:55:16 2003

Input: polgalois(x^8+x+5)

Output: [40320, -1, 50]

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

************** PARI *****************
Host 3(NXDOMAIN) (218.244.59.106)
Time: Thu Dec 18 23:53:30 2003

Input: 1/x+1/(x+y)

Output: (2*x + y)/(x^2 + y*x)

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

************** PARI *****************
Host 3(NXDOMAIN) (218.244.56.6)
Time: Fri Dec 19 00:02:19 2003

Input: (x+y)^5

Output: x^5 + 5*y*x^4 + 10*y^2*x^3 + 10*y^3*x^2 + 5*y^4*x + y^5

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

************** PARI *****************
Host charybdis.suse.de. (195.135.221.2)
Time: Fri Dec 19 05:17:22 2003

Input: factor(2^30-1)

Output:
[3 2]

[7 1]

[11 1]

[31 1]

[151 1]

[331 1]

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

************** PARI *****************
Host 3(NXDOMAIN) (211.138.102.93)
Time: Fri Dec 19 22:43:46 2003

Input: (x+y)^2

Output: x^2 + 2*y*x + y^2

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Time: Sat Dec 20 02:27:21 2003

Input: ?qflll

Output: qflll(x,{flag=0}): LLL reduction of the vectors forming the matrix x (gives
the unimodular transformation matrix). flag is optional, and can be 0:
default, 1: lllint algorithm for integer matrices, 2: lllintpartial algorithm
for integer matrices, 3: lllrat for rational matrices, 4: lllkerim giving the
kernel and the LLL reduced image, 5: lllkerimgen same but if the matrix has
polynomial coefficients, 7: lll1, old version of qflll, 8: lllgen, same as
qflll when the coefficients are polynomials, 9: lllint algorithm for integer
matrices using content.

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

************** PARI *****************
Time: Sat Dec 20 02:28:56 2003

Input: x=[[2,5],[3,8]]:
qflll(x)

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

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

************** PARI *****************
Time: Sat Dec 20 02:29:13 2003

Input: x=[[2,5],[3,8]]

Output: [[2, 5], [3, 8]]

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

************** PARI *****************
Time: Sat Dec 20 02:29:34 2003

Input: x=[[2,5],[3,8]];
qflll(x,1);

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

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

************** PARI *****************
Host 3(NXDOMAIN) (213.190.141.186)
Time: Sat Dec 20 11:19:30 2003

Input: A<x,y> := AffineSpace(Rationals(),2);
C := Curve(A,x^2-y^3);
p := Origin(A);
IsCusp(C,p);
IsDoublePoint(C,p);
IsReduced(TangentCone(C,p));
D := Curve(A,x^2 - y^3 - y^2);
IsAnalyticallyIrreducible(D,p);
IsNode(D,p);

Output:
Errors (if any) and Timing Info:  ***   unused characters: A<x,y>:=AffineSpace(Rat
^--------------------

***   unexpected character: C:=Curve(A,x^2-y^3);
^------------------

***   unexpected character: p:=Origin(A);
^-----------

***   expected character: '=' instead of: IsCusp(C,p);
^-

***   expected character: '=' instead of: IsDoublePoint(C,p);
^-

***   unknown function or error in formal parameters: IsReduced(
***   TangentCone(C,p));
^------------------

***   unexpected character: D:=Curve(A,x^2-y^3-y^2
^--------------------

***   expected character: '=' instead of: ...lyticallyIrreducible(D,p);
^-

***   expected character: '=' instead of: IsNode(D,p);
^-

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

************** PARI *****************
Host 61-222-31-134.HINET-IP.hinet.net. (61.222.31.134)
Time: Sat Dec 20 12:21:01 2003

Input: 1/sin(Pi/3)+1

Output: 2.154700538379251529018297561

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

************** PARI *****************
Host 2(SERVFAIL) (62.248.73.142)
Time: Sat Dec 20 18:41:51 2003

Input: F:=GF(2);
t:=2^201;
K:=GF(NextPrime(t));
K;
//SetVerbose("SEA",5);
//SetVerbose("ECPointCount",5);
E:=EllipticCurveFromjInvariant(K!3);
Order(E);

Output:
Errors (if any) and Timing Info:  ***   unexpected character: F:=GF(2);
^-------

***   unexpected character: t:=2^201;
^-------

***   unexpected character: K:=GF(NextPrime(t));
^------------------

***   unexpected character: //SetVerbose("SEA",5
^--------------------

***   unexpected character: //SetVerbose("ECPoin
^--------------------

***   unexpected character: E:=EllipticCurveFromjI
^--------------------

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

Timing:
real	0m0.075s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host wbar1.sjo1-4-4-001-026.sjo1.dsl-verizon.net. (4.4.1.26)
Time: Sat Dec 20 19:47:52 2003

Input: (x+1)^45

Output: x^45 + 45*x^44 + 990*x^43 + 14190*x^42 + 148995*x^41 + 1221759*x^40 + 8145060*x^39 + 45379620*x^38 + 215553195*x^37 + 886163135*x^36 + 3190187286*x^35 + 10150595910*x^34 + 28760021745*x^33 + 73006209045*x^32 + 166871334960*x^31 + 344867425584*x^30 + 646626422970*x^29 + 1103068603890*x^28 + 1715884494940*x^27 + 2438362177020*x^26 + 3169870830126*x^25 + 3773655750150*x^24 + 4116715363800*x^23 + 4116715363800*x^22 + 3773655750150*x^21 + 3169870830126*x^20 + 2438362177020*x^19 + 1715884494940*x^18 + 1103068603890*x^17 + 646626422970*x^16 + 344867425584*x^15 + 166871334960*x^14 + 73006209045*x^13 + 28760021745*x^12 + 10150595910*x^11 + 3190187286*x^10 + 886163135*x^9 + 215553195*x^8 + 45379620*x^7 + 8145060*x^6 + 1221759*x^5 + 148995*x^4 + 14190*x^3 + 990*x^2 + 45*x + 1

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

************** PARI *****************
Host wbar1.sjo1-4-4-001-026.sjo1.dsl-verizon.net. (4.4.1.26)
Time: Sat Dec 20 19:48:20 2003

Input: (x+y)^100

Output: x^100 + 100*y*x^99 + 4950*y^2*x^98 + 161700*y^3*x^97 + 3921225*y^4*x^96 + 75287520*y^5*x^95 + 1192052400*y^6*x^94 + 16007560800*y^7*x^93 + 186087894300*y^8*x^92 + 1902231808400*y^9*x^91 + 17310309456440*y^10*x^90 + 141629804643600*y^11*x^89 + 1050421051106700*y^12*x^88 + 7110542499799200*y^13*x^87 + 44186942677323600*y^14*x^86 + 253338471349988640*y^15*x^85 + 1345860629046814650*y^16*x^84 + 6650134872937201800*y^17*x^83 + 30664510802988208300*y^18*x^82 + 132341572939212267400*y^19*x^81 + 535983370403809682970*y^20*x^80 + 2041841411062132125600*y^21*x^79 + 7332066885177656269200*y^22*x^78 + 24865270306254660391200*y^23*x^77 + 79776075565900368755100*y^24*x^76 + 242519269720337121015504*y^25*x^75 + 699574816500972464467800*y^26*x^74 + 1917353200780443050763600*y^27*x^73 + 4998813702034726525205100*y^28*x^72 + 12410847811948286545336800*y^29*x^71 + 29372339821610944823963760*y^30*x^70 + 66324638306863423796047200*y^31*x^69 + 143012501349174257560226775*y^32*x^68 + 294692427022540894366527900*y^33*x^67 + 580717429720889409486981450*y^34*x^66 + 1095067153187962886461165020*y^35*x^65 + 1977204582144932989443770175*y^36*x^64 + 3420029547493938143902737600*y^37*x^63 + 5670048986634686922786117600*y^38*x^62 + 9013924030034630492634340800*y^39*x^61 + 13746234145802811501267369720*y^40*x^60 + 20116440213369968050635175200*y^41*x^59 + 28258808871162574166368460400*y^42*x^58 + 38116532895986727945334202400*y^43*x^57 + 49378235797073715747364762200*y^44*x^56 + 61448471214136179596720592960*y^45*x^55 + 73470998190814997343905056800*y^46*x^54 + 84413487283064039501507937600*y^47*x^53 + 93206558875049876949581681100*y^48*x^52 + 98913082887808032681188722800*y^49*x^51 + 100891344545564193334812497256*y^50*x^50 + 98913082887808032681188722800*y^51*x^49 + 93206558875049876949581681100*y^52*x^48 + 84413487283064039501507937600*y^53*x^47 + 73470998190814997343905056800*y^54*x^46 + 61448471214136179596720592960*y^55*x^45 + 49378235797073715747364762200*y^56*x^44 + 38116532895986727945334202400*y^57*x^43 + 28258808871162574166368460400*y^58*x^42 + 20116440213369968050635175200*y^59*x^41 + 13746234145802811501267369720*y^60*x^40 + 9013924030034630492634340800*y^61*x^39 + 5670048986634686922786117600*y^62*x^38 + 3420029547493938143902737600*y^63*x^37 + 1977204582144932989443770175*y^64*x^36 + 1095067153187962886461165020*y^65*x^35 + 580717429720889409486981450*y^66*x^34 + 294692427022540894366527900*y^67*x^33 + 143012501349174257560226775*y^68*x^32 + 66324638306863423796047200*y^69*x^31 + 29372339821610944823963760*y^70*x^30 + 12410847811948286545336800*y^71*x^29 + 4998813702034726525205100*y^72*x^28 + 1917353200780443050763600*y^73*x^27 + 699574816500972464467800*y^74*x^26 + 242519269720337121015504*y^75*x^25 + 79776075565900368755100*y^76*x^24 + 24865270306254660391200*y^77*x^23 + 7332066885177656269200*y^78*x^22 + 2041841411062132125600*y^79*x^21 + 535983370403809682970*y^80*x^20 + 132341572939212267400*y^81*x^19 + 30664510802988208300*y^82*x^18 + 6650134872937201800*y^83*x^17 + 1345860629046814650*y^84*x^16 + 253338471349988640*y^85*x^15 + 44186942677323600*y^86*x^14 + 7110542499799200*y^87*x^13 + 1050421051106700*y^88*x^12 + 141629804643600*y^89*x^11 + 17310309456440*y^90*x^10 + 1902231808400*y^91*x^9 + 186087894300*y^92*x^8 + 16007560800*y^93*x^7 + 1192052400*y^94*x^6 + 75287520*y^95*x^5 + 3921225*y^96*x^4 + 161700*y^97*x^3 + 4950*y^98*x^2 + 100*y^99*x + y^100

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.060s
sys	0m0.010s

************** PARI *****************
Host ool-182dcc14.dyn.optonline.net. (24.45.204.20)
Time: Sat Dec 20 21:05:40 2003

Input: 4x=9

Output:
Errors (if any) and Timing Info:  ***   unused characters: 4x=9
^---

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

************** PARI *****************
Host d66-183-107-98.bchsia.telus.net. (66.183.107.98)
Time: Sat Dec 20 21:37:07 2003

Input: 2^200

Output: 1606938044258990275541962092341162602522202993782792835301376

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

************** PARI *****************
Time: Sun Dec 21 02:06:59 2003

Input: P<t>:= FunctionField(GF(5));
Q<x>:= PolynomialRing(P);
f:=x^6+x+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(5
^--------------------

***   unexpected character: Q<x>:=PolynomialRing(P);
^--------------------

***   unexpected character: f:=x^6+x+t^2;
^-----------

***   unused characters: G,R:=GaloisGroup(f);
^-------------------

***   unused characters: t1,t2:=TransitiveGroup
^--------------------

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Time: Sun Dec 21 02:10:55 2003

Input: P<t>:= FunctionField(GF(5));
Q<x>:= PolynomialRing(P);
f:=x^6+3*t*x+1;
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(5
^--------------------

***   unexpected character: Q<x>:=PolynomialRing(P);
^--------------------

***   unexpected character: f:=x^6+3*t*x+1;
^-------------

***   unused characters: G,R:=GaloisGroup(f);
^-------------------

***   unused characters: t1,t2:=TransitiveGroup
^--------------------

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

************** PARI *****************
Time: Sun Dec 21 02:13:37 2003

Input: P<t>:= FunctionField(GF(5));
Q<x>:= PolynomialRing(P);
f:=x^6+4*t*x+4;
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(5
^--------------------

***   unexpected character: Q<x>:=PolynomialRing(P);
^--------------------

***   unexpected character: f:=x^6+4*t*x+4;
^-------------

***   unused characters: G,R:=GaloisGroup(f);
^-------------------

***   unused characters: t1,t2:=TransitiveGroup
^--------------------

Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:16:36 2003

Input: contfrac(sqrt(8))

Output: [2, 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	0m0.074s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:17:23 2003

Input: contfrac((5+sqrt(7))/2)

Output: [3, 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, 1, 1, 4, 2, 3, 1, 1, 1, 1, 2, 6, 1, 4, 1, 3, 2]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:19:18 2003

Input: ((5+sqrt(7))/2)

Output: 3.822875655532295295250807876

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:20:20 2003

Input: (2 / (sqrt(7) -1))

Output: 1.215250437021530196833871917

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:22:27 2003

Input: (3 / (sqrt(7) -2
))

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (3/(sqrt(7)-2
^

***   unused characters: ))
^--

Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:22:30 2003

Input: (3 / (sqrt(7) -2))

Output: 4.645751311064590590501615753

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: Sun Dec 21 18:24:02 2003

Input: contfrac((5 + sqrt(7)) 2)

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: contfrac((5+sqrt(7))2)
^--

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:24:10 2003

Input: contfrac((5 + sqrt(7))/ 2)

Output: [3, 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, 1, 1, 4, 2, 3, 1, 1, 1, 1, 2, 6, 1, 4, 1, 3, 2]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:32:58 2003

Input: contfrac((5+sqrt(6))/3)

Output: [2, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 41, 4, 2, 1, 5]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:33:16 2003

Input: contfrac((7+sqrt(6))/3)

Output: [3, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 3, 2, 4, 4, 27, 2, 3]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:33:26 2003

Input: contfrac((7+sqrt(8))/3)

Output: [3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 4, 43, 3, 71, 2]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:35:52 2003

Input: contfrac((4+sqrt(32))/8)

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	0m0.071s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:37:28 2003

Input: contfrac((6+sqrt(60))/6)

Output: [2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:37:47 2003

Input: contfrac((2+sqrt(15))/19)

Output: [0, 3, 4, 3, 1, 23, 1, 3, 4, 13, 6, 1, 13, 1, 6, 13, 4, 3, 1, 23, 1, 3, 4, 13]

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: Sun Dec 21 18:38:12 2003

Input: contfrac((2+sqrt(27))/19)

Output: [0, 2, 1, 1, 1, 3, 1, 1, 4, 1, 3, 2, 8, 1, 1, 7, 15, 17, 1, 7, 1, 1, 1, 3, 1, 1, 4, 1, 3, 2, 8, 1, 1, 7]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:38:34 2003

Input: contfrac((5+sqrt(27))/19)

Output: [0, 1, 1, 6, 3, 10, 1, 1, 1, 6, 1, 1, 1, 10, 3, 6, 1, 97, 1, 6, 3, 10, 1, 1, 1, 6, 1, 1, 1, 10]

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

************** PARI *****************
Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208)
Time: Sun Dec 21 18:39:08 2003

Input: contfrac((5+sqrt(27))/7)

Output: [1, 2, 5, 3, 1, 5, 1, 5, 1, 3, 5, 2, 1, 35, 1, 2, 5, 3, 1, 5, 1, 5, 1, 3, 5, 2, 1, 35, 1, 2]

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

************** PARI *****************
Host 3(NXDOMAIN) (203.77.201.104)
Time: Mon Dec 22 11:36:39 2003

Input: 2*2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host core-dr00.proxy.nacamar.net. (194.162.162.68)
Time: Tue Dec 23 09:09:57 2003

Input: H := HammingCode(FiniteField(4), 3);
H;
ParityCheckMatrix(H);

Output:
Errors (if any) and Timing Info:  ***   unexpected character: H:=HammingCode(FiniteF
^--------------------

***   expected character: '=' instead of: ParityCheckMatrix(H);
^-

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

************** PARI *****************
Host wisdom.math.buffalo.edu. (128.205.113.113)
Time: Tue Dec 23 09:39:14 2003

Input: 2^10

Output: 1024

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.060s
sys	0m0.010s

************** PARI *****************
Host wisdom.math.buffalo.edu. (128.205.113.113)
Time: Tue Dec 23 09:45:11 2003

Input: cos(2 Pi / 7)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: cos(2Pi/7)
^-----

Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host proxy-out.netissat.net. (212.72.193.94)
Time: Tue Dec 23 14:27:00 2003

Input: 1+2

Output: 3

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

************** PARI *****************
Host 82-35-66-245.cable.ubr01.dals.blueyonder.co.uk. (82.35.66.245)
Time: Tue Dec 23 19:05:04 2003

Input: print "erdos";
for a:=1000 to 1020 do
M:=ModularSymbols(a);
end for;

Output:
Errors (if any) and Timing Info:  ***   unused characters: print"erdos";
^--------

***   unexpected character: fora:=1000to1020do
^-------------

***   unexpected character: M:=ModularSymbols(a);
^-------------------

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

************** PARI *****************
Host user-0ccetfe.cable.mindspring.com. (24.199.117.238)
Time: Wed Dec 24 22:35:36 2003

Input: nextprime(10)

Output: 11

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

************** PARI *****************
Host user-0ccetfe.cable.mindspring.com. (24.199.117.238)
Time: Wed Dec 24 22:35:44 2003

Input: nextprime(10^100)

Output: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000267

Errors (if any) and Timing Info:
Timing:
real	0m0.179s
user	0m0.160s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (62.167.239.81)
Time: Sun Dec 28 05:40:13 2003

Input: e=ellinit([1,0,0,0,1]);
P=[0,1];Q=[1,1];
matdet(ellheightmatrix(e,[P,Q]))

Output: 0.2246941634181667416120711340

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host as5800-90-236.access.naxs.com. (216.98.90.236)
Time: Tue Dec 30 10:47:39 2003

Input: GYCBJJYVFTBJFT

Output: GYCBJJYVFTBJFT

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.161)
Time: Wed Dec 31 15:41:51 2003

Input: PrintBinaryPrimitivePentanomials(521,0);

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

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

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.161)
Time: Wed Dec 31 15:42:56 2003

Input: 31

Output: 31

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

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.161)
Time: Wed Dec 31 15:43:17 2003

Input: trinomial 31

Output: trinomial31

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

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.161)
Time: Wed Dec 31 15:46:29 2003

Input: trinomial 31

Output: trinomial31

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

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.156)
Time: Thu Jan  1 10:04:20 2004

Input: PrintBinaryPrimitivePentanomials(521,0);

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

Timing:
real	0m0.068s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.156)
Time: Thu Jan  1 10:04:39 2004

Input: PrintBinaryPrimitivePentanomials(21,0);

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

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

************** PARI *****************
Host pi.wien.rhno.columbia.edu. (160.39.208.120)
Time: Thu Jan  1 22:15:54 2004

Input: Pi

Output: 3.141592653589793238462643383

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

************** PARI *****************
Host pi.wien.rhno.columbia.edu. (160.39.208.120)
Time: Thu Jan  1 22:16:05 2004

Input: /p27

Output:
Errors (if any) and Timing Info:  ***   unexpected character: /p27
^----

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

************** PARI *****************
Host ds10.internetdsl.tpnet.pl. (80.53.254.10)
Time: Fri Jan  2 06:20:44 2004

Input: http://www.frenchfries.net/paul/factoring/theory/index.html

Output:
Errors (if any) and Timing Info:  ***   unexpected character: http://www.frenchfries.ne
^--------------------

Timing:
real	0m0.113s
user	0m0.050s
sys	0m0.030s

************** PARI *****************
Host h68-147-114-138.cg.shawcable.net. (68.147.114.138)
Time: Fri Jan  2 21:01:41 2004

Input: isPrime(51);

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: isPrime(51);
^------------

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

************** PARI *****************
Host h68-147-114-138.cg.shawcable.net. (68.147.114.138)
Time: Fri Jan  2 21:02:18 2004

Input: NextPrime(12);

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: NextPrime(12);
^--------------

Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host ppp-62-10-141-79.dialup.tiscali.it. (62.10.141.79)
Time: Fri Jan  2 21:08:18 2004

Input: (100+10)/10

Output: 11

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

************** PARI *****************
Host R1.softjoys.com. (212.113.101.45)
Time: Sat Jan  3 07:00:39 2004

Input: R<x> := FunctionField(GF(5));

Output:
Errors (if any) and Timing Info:  ***   unexpected character: R<x>:=FunctionField(GF(5
^--------------------

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

************** PARI *****************
Host pcp486497pcs.howard01.md.comcast.net. (68.55.18.94)
Time: Sat Jan  3 08:18:48 2004

Input: 2 + 3

Output: 5

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host pcp486497pcs.howard01.md.comcast.net. (68.55.18.94)
Time: Sat Jan  3 08:19:13 2004

Input: 2 + 3

Output: 5

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

************** PARI *****************
Host kar2-t1-1.mcbone.net. (62.104.221.64)
Time: Sat Jan  3 16:15:31 2004

Input: nextprime(499999999999999999711)

Output: 499999999999999999727

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

************** PARI *****************
Host dialup-67.72.215.69.Dial1.Detroit1.Level3.net. (67.72.215.69)
Time: Sun Jan  4 03:55:25 2004

Input: 10!

Output: 3628800

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

************** PARI *****************
Host R1.softjoys.com. (212.113.101.45)
Time: Mon Jan  5 05:58:27 2004

Input: > A<x,y> := AffineSpace(FiniteField(5),2);
> f:=x^3*y+y^3+x;
> C:=Curve(A,f);
> C;
Curve over GF(5) defined by
x^3*y + x + y^3
> D<X,Y,Z> := ProjectiveClosure(C);
>
> D;
Curve over GF(5) defined by
X^3*Y + X*Z^3 + Y^3*Z

Output: y*x^3 + x + y^3
Y*X^3 + Z^3*X + Z*Y^3

Errors (if any) and Timing Info:  ***   unexpected character: >A<x,y>:=AffineSpace
^--------------------

***   unexpected character: >f:=x^3*y+y^3+x;
^----------------

***   unexpected character: >C:=Curve(A,f);
^---------------

***   unexpected character: >C;
^---

***   unused characters: CurveoverGF(5)definedby
^---------

***   unexpected character: >D<X,Y,Z>:=Projectiv
^--------------------

***   unexpected character: >
^-

***   unexpected character: >D;
^---

***   unused characters: CurveoverGF(5)definedby
^---------

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

************** PARI *****************
Host 3(NXDOMAIN) (199.111.119.60)
Time: Mon Jan  5 12:06:56 2004

Input: EllipticCurve(1,2,3,1,1);

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: EllipticCurve(1,2,3,
^--------------------

Timing:
real	0m0.074s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host ip-64-139-40-66.dsl.sjc.megapath.net. (64.139.40.66)
Time: Mon Jan  5 13:39:25 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	0m0.052s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host pD9EC1782.dip.t-dialin.net. (217.236.23.130)
Time: Mon Jan  5 16:06:01 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	0m0.056s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host aybabtu.matrox.com. (138.11.254.204)
Time: Tue Jan  6 10:23:38 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	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host aybabtu.matrox.com. (138.11.254.204)
Time: Tue Jan  6 10:23:57 2004

Input: f(x) = x^2
f(2)

Output: 4

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

************** PARI *****************
Time: Tue Jan  6 16:57:39 2004

Input: e=ellinit(2,123,5345,1232,212);
elltors(e)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: e=ellinit(2,123,5345,1232,212);
^----------------

***   not a rational curve in ellintegralmodel.

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

************** PARI *****************
Time: Tue Jan  6 16:57:57 2004

Input: e=ellinit([2,123,5345,1232,212]);
elltors(e)

Output: [1, [], []]

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

************** PARI *****************
Time: Tue Jan  6 16:58:58 2004

Input: e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]
elltors(e)

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...118411284184511350250000]
^

***   not a rational curve in ellintegralmodel.

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

************** PARI *****************
Time: Tue Jan  6 16:59:28 2004

Input: e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]);
elltors(e)

Output:
Errors (if any) and Timing Info:  ***   precision too low in torselldoud.

Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Time: Tue Jan  6 16:59:44 2004

Input: p 100
e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]);
elltors(e)

Output: p100

Errors (if any) and Timing Info:  ***   precision too low in torselldoud.

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

************** PARI *****************
Time: Tue Jan  6 17:00:03 2004

Input: p100
e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]);
elltors(e)

Output: p100

Errors (if any) and Timing Info:  ***   precision too low in torselldoud.

Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Time: Tue Jan  6 17:00:16 2004

Input: p 100;
e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]);
elltors(e)

Output:
Errors (if any) and Timing Info:  ***   precision too low in torselldoud.

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

************** PARI *****************
Host 82-35-62-113.cable.ubr04.camd.blueyonder.co.uk. (82.35.62.113)
Time: Tue Jan  6 22:02:56 2004

Input: zeta(1.5)

Output: 2.612375348685488343348567567

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

************** PARI *****************
Host mcmail.muzo.com. (194.228.69.30)
Time: Wed Jan  7 04:27:57 2004

Input: 321654*54654

Output: 17579677716

Errors (if any) and Timing Info:
Timing:
real	0m0.102s
user	0m0.040s
sys	0m0.040s

************** PARI *****************
Host mcmail.muzo.com. (194.228.69.30)
Time: Wed Jan  7 04:28:03 2004

Input: 321654*54654

Output: 17579677716

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

************** PARI *****************
Time: Wed Jan  7 06:12:18 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	0m0.084s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host webcache02.mas.optusnet.com.au. (211.29.136.12)
Time: Wed Jan  7 06:25:39 2004

Input: x**3; x=3:

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

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host webcache02.mas.optusnet.com.au. (211.29.136.12)
Time: Wed Jan  7 06:27:22 2004

Input:
x*x*x; x=3;

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

************** PARI *****************
Host webcache02.mas.optusnet.com.au. (211.29.136.12)
Time: Wed Jan  7 06:27:52 2004

Input: 3+4

Output: 7

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

************** PARI *****************
Host 3(NXDOMAIN) (68.222.35.14)
Time: Wed Jan  7 06:37:52 2004

Input: expand((x/y+y/x)*(x/y-y/x))

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: expand((x/y+y/x)*(x/
^--------------------

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

************** PARI *****************
Host 3(NXDOMAIN) (68.222.35.14)
Time: Wed Jan  7 06:38:07 2004

Input: (x/y+y/x)*(x/y-y/x)

Output: (1/y^2*x^4 - y^2)/x^2

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

************** PARI *****************
Host 3(NXDOMAIN) (68.222.35.14)
Time: Wed Jan  7 06:38:21 2004

Input: (x/y+y/x)^3*(x/y-y/x)^3

Output: (1/y^6*x^12 - 3/y^2*x^8 + 3*y^2*x^4 - y^6)/x^6

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host hilbert.math.ubc.ca. (137.82.36.63)
Time: Wed Jan  7 14:47:25 2004

Input: e=ellinit([0,0,0,0,1]);
elltors(e)

Output: [6, [6], [[2, 3]]]

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:12:02 2004

Input: prime(100)

Output: 541

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:12:20 2004

Input: prime(100)

Output: 541

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:12:44 2004

Input: prime(99)

Output: 523

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:16:59 2004

Input: /p500

Output:
Errors (if any) and Timing Info:  ***   unexpected character: /p500
^-----

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:17:39 2004

Input: p500

Output: p500

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:18:00 2004

Input: p 100

Output: p100

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:18:12 2004

Input: p100

Output: p100

Errors (if any) and Timing Info:
Timing:
real	0m0.098s
user	0m0.040s
sys	0m0.000s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:18:46 2004

Input: primes500

Output: primes500

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:19:01 2004

Input: primes500

Output: primes500

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:19:10 2004

Input: primes500

Output: primes500

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:19:32 2004

Input: primes(500)

Output: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571]

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:21:46 2004

Input: p 100

Output: p100

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:21:56 2004

Input: p100

Output: p100

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:22:09 2004

Input: p(100)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: p(100)
^------

Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:22:58 2004

Input: nextprime(100000)

Output: 100003

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:24:08 2004

Input: precprime(100000)

Output: 99991

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:25:22 2004

Input: isprime(1345691)

Output: 1

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:26:44 2004

Input: 5^989

Output: 19113238906945922641717033875943775633758032821692580344252709679021402336783884993626937898964604976324505393773040488943933184437330583446354346336336501887680730442512899077611419156191269509347338051507509516661565696303020724035690050992648501326043102798938654333326741795402976444866921736405868512382350313208780114493569604985910219351282275577143353204639528829073773581591935817020207217269107431845884822037339219992846942819727404943659210838315185528038293359657673254187369634343240651162950377247574792106436984116798372999750538729991936350778466238086273974348080694922586109038429578556199403698421220857891837186594626504637696733264473625268919931841082870960235595703125

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:28:29 2004

Input: ploth(n=1, 1000, pi(n))

Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:30:46 2004

Input: ploth(n=1, 1000, pi(n))

Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:31:26 2004

Input: plot(n=1, 1000, pi(n))

Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:32:18 2004

Input: ploth(n=1, 1000, pi(n))

Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:32:42 2004

Input: p (100)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: p(100)
^------

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:32:56 2004

Input: p100

Output: p100

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:33:11 2004

Input: p(100)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: p(100)
^------

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:33:32 2004

Input: pi 100

Output: pi100

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:33:41 2004

Input: pi (100)

Output:
Errors (if any) and Timing Info:  ***   obsolete function: pi(100)
^-------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).

New syntax: pi ===> Pi

Pi=Pi(): the constant pi, with current precision.

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:34:12 2004

Input: Pi=pi(100)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: Pi=pi(100)
^--------

Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:34:29 2004

Input: pi

Output: pi

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:34:34 2004

Input: p

Output: p

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:35:15 2004

Input: Pi=Pi(4)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: Pi=Pi(4)
^------

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:37:33 2004

Input: pi

Output: pi

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:37:52 2004

Input: /p 500

Output:
Errors (if any) and Timing Info:  ***   unexpected character: /p500
^-----

Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:37:59 2004

Input: p 500

Output: p500

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:39:34 2004

Input: pi=pi(500)

Output: pi

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

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:41:40 2004

Input: ploth(n=1,100,pi(n))

Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.

************** PARI *****************
Host 3(NXDOMAIN) (156.143.48.248)
Time: Wed Jan  7 19:41:57 2004

Input: p

Output: p

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:07:50 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	0m0.030s
sys	0m0.020s

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:07:52 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 h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:09:16 2004

Input: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593

Output: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.060s
sys	0m0.000s

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:09:38 2004

Input: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593; x

Output: x

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:09:49 2004

Input: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593; x

Output: x

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:11:35 2004

Input: x

Output: x

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:11:47 2004

Input: x=3

Output: 3

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:11:48 2004

Input: x=3

Output: 3

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:11:56 2004

Input: x=3;
x+2

Output: 5

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:13:00 2004

Input: voir(123)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: voir(123)
^---------

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:13:11 2004

Input: voir(123);

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: voir(123);
^----------

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:23:20 2004

Input: a

Output: a

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:23:38 2004

Input: hex(30)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: hex(30)
^-------

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:23:51 2004

Input: 30

Output: 30

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:23:56 2004

Input: x=30

Output: 30

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:24:01 2004

Input: x-2

Output: x - 2

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:27:30 2004

Input: s

Output: s

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:27:36 2004

Input: s

Output: s

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

************** PARI *****************
Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6)
Time: Thu Jan  8 01:27:45 2004

Input: vori

Output: vori

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

************** PARI *****************
Host banjo.cs.iitm.ernet.in. (202.141.24.2)
Time: Thu Jan  8 03:09:08 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 2(SERVFAIL) (61.11.88.232)
Time: Thu Jan  8 04:59:56 2004

Input: 2*8;

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

************** PARI *****************
Host 2(SERVFAIL) (61.11.88.232)
Time: Thu Jan  8 05:00:25 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	0m0.061s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host siec.sulechow.net. (195.116.20.202)
Time: Thu Jan  8 09:44:32 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	0m0.058s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host nat-75-164.casaccia.enea.it. (192.107.75.164)
Time: Thu Jan  8 10:01:40 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	0m0.030s
sys	0m0.020s

************** PARI *****************
Time: Thu Jan  8 13:29:10 2004

Input: elltors(ellinit([0,0,0,-25,0]));

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

************** PARI *****************
Time: Thu Jan  8 13:29:32 2004

Input: 5+2

Output: 7

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

************** PARI *****************
Time: Thu Jan  8 13:30:27 2004

Input: elltors(ellinit([0,0,0,-25,0]))

Output: [4, [2, 2], [[5, 0], [0, 0]]]

Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.070s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (193.50.63.49)
Time: Fri Jan  9 08:48:42 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	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:11:55 2004

Input: 1+2

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:12:38 2004

Input: Prime(10)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Prime(10)
^---------

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:14:35 2004

Input: Prime?

Output:
Errors (if any) and Timing Info:  ***   unused characters: Prime?
^-

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

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:14:47 2004

Input: ?

Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
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	0m0.054s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:15:16 2004

Input: 4?

Output:
Errors (if any) and Timing Info:  ***   unused characters: 4?
^-

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:15:20 2004

Input: 4?

Output:
Errors (if any) and Timing Info:  ***   unused characters: 4?
^-

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:15:32 2004

Input: ?

Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
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	0m0.074s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:15:48 2004

Input: ?4

Output:
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
sqrtint       znlog         znorder       znprimroot    znstar

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

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:16:35 2004

Input: factor(64)

Output:
[2 6]

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

************** PARI *****************
Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29)
Time: Fri Jan  9 16:16:57 2004

Input: factor(68)

Output:
[2 2]

[17 1]

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

************** PARI *****************
Host dial062077219039.vnet.hu. (62.77.219.39)
Time: Fri Jan  9 18:27:31 2004

Input: 1000!

Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host dial062077219039.vnet.hu. (62.77.219.39)
Time: Fri Jan  9 18:28:05 2004

Input: 10000!

Output: 2846259680917054518906413212119868890148051401702799230794179994274411340003764443772990786757784775815884062142317528830042339940153518739052421161382716174819824199827592418289259787898124253120594659962598670656016157203603239792632873671705574197596209947972034615369811989709261127750048419884541047554464244213657330307670362882580354896746111709736957860367019107151273058728104115864056128116538532596842582599558468814643042558983664931705925171720427659740744613340005419405246230343686915405940406622782824837151203832217864462718382292389963899282722187970245938769380309462733229257055545969002787528224254434802112755901916942542902891690721909708369053987374745248337289952180236328274121704026808676921045155584056717255537201585213282903427998981844931361064038148930449962159999935967089298019033699848440466541923625842494716317896119204123310826865107135451684554093603300960721034694437798234943078062606942230268188522759205702923084312618849760656074258627944882715595683153344053442544664841689458042570946167361318760523498228632645292152942347987060334429073715868849917893258069148316885425195600617237263632397442078692464295601230628872012265295296409150830133663098273380635397290150658182257429547589439976511386554120812578868370423920876448476156900126488927159070630640966162803878404448519164379080718611237062213341541506599184387596102392671327654698616365770662643863802984805195276953619525924093090861447190739076858575593478698172073437209310482547562856777769408156407496227525499338411280928963751699021987049240561753178634693979802461973707904186832993101655415074230839317687836692369484902599960772968429397742753626311982541668153189176323483919082100014717893218422780513518173492190114624687576983537344145601312261522139117875968836736408720793700299203827919803870237207803914031236899760815284030605111670948472222487038919999344207139583698306396223207911562404425080891991431983712044559834404755675948921210149815245454359428541439084356441998422485547853216362403009844285533182925315420655123707970581639346029624769701038874220644153662673371542870078912274934068433644288984710084064160009362393526124803797529334392876439831639031277645072247926785170082666959838952615075900734921519759265919270887320259406638211880198885474826604834225645770574397312225970067193606176351357952982179429079770532728326750148802444352868164502616566283754651900617187344226043891929850607151539003110668472736013581670643786175675743918437647965813610059963868955233464878174614324357322486432679848198145843270303589550842053478849336458248259203328808902578238823326577020524897093704721021424841334246526820680673231421448385407418213962184687010835958294696523563276487047571835161687923506836627174371191572336114307012112076760869785155972184648598591864364171685089962551682091079357023111851817477501080462258552131476489749066075287708289766751495100968232968973200062239288805665803614031128546592908407803397490066495320587316494809388381619865885082738246803489786475711667989042356801830350413387573197263089790943571068779730163391808786847494363353389337358690640584841782806519627582643442925805842221294764940294862267076183298822900407239040373316820741741325165668844307933944701920890562078838758534251282095735930701819770834016381763827856253951682542664461494104471157953326237281546879408042371858742302620026422182269418862621210729777665740101837618228013685758644218586301153984371229910701009406192941322320277319395946700671369537709789777811828824244292086481613417956201747183160968766104314049795819823644580736820940402221118153005143338707660706314961610777111744805955276434833338574404021275703185152729837743592187855855279559102866445791736200722185814330997729477892372071794285775627130092398239792195758119726474264287826668235391568785727162014619224426626670840076566562580710947439874011077281166991880626872662656558334566500789030905065607463307802715853081769122377281351058452732659162621964762057143488021563081525900534372114100030303924286645720732847348171203416818632896886504828736793339844397123673508452734019630942769765268417017499075694798275782583522999431563332210743913155012445900532470268031291239229797903041758782339862237353505464264691350250395100923928658510868208807066273473320035499572039708648806604092985460700633940988583634986546613672788074876470070245879011804651829611127709060901615202211146154315831766995706097461808535939040006789287854882785093863735370390404941268461899127287156265500127083303995025787993170543188275265922581494895074663997600731692731083173588305661261478299766318807006304463242911226069193127888156622159152327045769586751282199093894268660196390448971891859747292531032248021054384104432582847283058429780416240510811032691400190056878439634150269652104892027214023216023489858882737142869533968175510628747090747371818801422348724849855819843909465170836436899430618965024328835327966719018452762055108570762620424450962332320474470783119043449935144262550170177101737955112474615947173186270156557126629585512507771173833820841970589336732372445328045653717851496030880258028406784780941464183865922665280686797884325066053794304625028710510492934726747126749989263462735816714693506049511034075540465817039348104675848562596776795976829940933402638726937836532091228771807745115262264254877183546110888636084327280622777664309728387905672861803604863346489337143941525025945965250152095953615797713559579496572977565090269442808847976127666484700361964890604376193469427044407021531794358383105140491546260872848667875054167414673164899935638131286693142761686353730563458662695789456827506581023595081488877895507393936534193736570084831850447568221544406759920313807707353997803633926733454954929666875992253089389808643060653296179316402961249267308063803187391259615113189035935126648081856836677028653774239074658239091095551717977058079778928975249023073780175314268036391424472025772889178495007811788933662975043680421466819782427298069757939174222945668318581567681628879787062453124665172762275829549342148365886891929958740209569600024356030528982986638689207699283403054971026651432230612523191513184387690382370620539920693394371688046642971147674356448637502684769814885310535406332884506201217330263067648132293156104355194176105071244902487327727311209194586513749319096516249769165755381219856643220797866630039893866023860735785811439471587280089337416503379296583261843607313332752602360511552422722844725146386326936976376251019671438012569122778442842699944082915221590469443728249865808520518657629299277550883312867263841871327778087444664387535264473356244113944762878097465068395298210817496795883645227334469487379347179071006497823646601668057203429792920744682232284866583952221144685957285840386337727803022759153049786587391951365024627419589908837438733159428737202977062020712021303857217593321116241333042277374241635355358797706530964768588607730143277829032889479581840437885856777293209447677866935753746004814237674119418267163687048105691115621561435751629052735122435008060465366891745819654948260861226075029306276147881326895528073614902252581968281505103331813212965966495815903042123877564599097329672806668384916625794974792290536184556374103479143077156116865048429249028110299252967873529876782926904078877848026247922275073594840581743908625187794689004594206016860514277224448627246991114620014988066272353883780938062854438476305323507013202802948839200813213544645005613498701783427110615817728981929065649868808104556223370306725425127727733028349843359577257595622470370779338714659303308862969944031833266579751467650271734629888377739784821870071802674126599715872803544047843247867490712792167289852358848694354669225510133760637791516459725425711696847733995115899834908188828126398440050554621006698879261455821456531969690982725393451576040861347625877816586729441077535882416231577908253805474693354058246971767432452345149848302717039654388773763735819173658245427334749042426294601129988191656371384711184915691505476814041174980145426571239420442544102807580600138819865061375928853903892264432294799028648284009959867596358099911269536760152717308685275657214758350712229829652956491783507175083574136228254505562027096941747679925922977488862741131458767614753145689532809311705269648641018740767329698664923643738256547502281647192681555988319662984830777666684062231431588438491051905828181674076446303330011971029303645586659465186907447525083784198762299041591179368279976065418608872162665488649234439103092325691063377596973905178112276466848679173604940439370333935190060938726839729924647848372727477097746669359978485712015678900024194726922097498412732314740154998092038145982141648117635714780155423159966783853485448640693641055691353133523118405358134894093819182189869482538396098994282202759933963520621770534357207339625057421676946510160849560143930324430427157609952730868460920442222610315422998444480211009816133382482737521899873820531516492713449810595015997480057159191220215448774875010347324619063394130303089239941198500622590218416440998817321432442210855424862089625026060439818018902631778114661745499977144066523286384636384700165561815386109818811118173419130550502486034585675558563751172977429932907494423657966833270091836733897734790175924888566037995277154056908301731172389414032615961229291222519109594874380567338127853861649184278693841755689804710085986837203361517515809702256627520016095619222992540175987852203854591377178397638981119848580329104875166692119510451489667776159824946872742066343759320785261892268728552767132488326779415291283916540796834419023909480367668870783801136704275397139620142478493519673530144440403782352667443755674088302522574527380620998045123318810272901204299798900542312621796813523775804116251145917599327913417650729282676223689729196052828967522352142523421724784186931739746041187763460462563713530980159061773675871533680395855905482736187611215138467343288432509004564535818668190510873179134621
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.527s
user	0m0.440s
sys	0m0.090s

************** PARI *****************
Host dial062077219039.vnet.hu. (62.77.219.39)
Time: Fri Jan  9 18:29:19 2004

Input: a=3^200:d=2^200:b=1:forstep(n=1,100001,200,c=b:t=1:for(l=n,n+199,t*=l):y=c-shift(shift(ct,-199-n)*t,199+n):x=shift(y,201-n)/d:for(k=n,n+199,x*=3:if(floor(shift(x,n-k-1))%k==0,print1(k,","))):b*=a)

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:07:55 2004

Input: gp > sum(n=1,10,1/n^2)

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

Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:08:11 2004

Input: sum(n=1,10,1/n^2)

Output: 1968329/1270080

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:08:23 2004

Input: sum(n=1,3,1/n^2)

Output: 49/36

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:09:43 2004

Input: sum(n=1,1000,1/n^12)

Output: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665762041013718440484472011490171013337039687175821332396931150488947300768010934350376640322044836067799693466207623345418933726500664530880222180812739472865739470583589800151918459768664535337201/1722839764115886534391055858322029694497788350564443817939276584592333644079088168799416078500948945242001695232841536487563700966065913407821416374324611703581708137552595572497689325739290203793211740192559032605583647131148091675567400648176013770088002805131150175166069188927391166098700392026374389853617792618245853174954705372142099621425299705737194249891674041790149975610440768288212645876891685378822601052461607368371079998102359808897380714958200810047286404508605226337850311104188606340728253750634934772876742017826584157939907730600965962362888216304588942302201076801477034230825290406806292736704279174227273880107540187548141128870842494777910742187796155553432394806576145839639045893296882017994905998449668851547075936021974110098354155772975812223113508843976595863659996705629989348944345017557258106214804611920973288082661490257733180452225001524551805526774372693362827428028315536346211471755974695458680110224717058951904973407095158428772358747566345210874031839681326681878743138474745027870581823768689591226144105689732715169147248121448068095471325786243430775160603313911270798621752488236653447771455119750770232774060186068434916582082429535803293014151628759431352167189370699093930788585312026700645828920768210653718600587220094258386452163752347804712450471350059526242325266518126288996593828833313566897116528424414662144700168208717637082491584311245692632850914761199971006164532643217695428705000209738889486580870449646795062750122191019730785781554674292746155076881136972802913429662784225658890792647061852738417819424489251187566085236025253335930935812449905119719101878151371789291852115786289116999128442807306068046195254130440581442630011650222430593438920138270210073780414201154712722602397364923880913504396949809786987142562228751550483202022001610245420311037873286338844446602034186976853911944706246159702852912503723172138306356160609588856690653567479571240672847255657584869732056483465906737757880393615100587568887084136216787873376911036984661160790978008298638634815419055098430457828185363442636304929850307648470477252958154180544765615445516933388923500796499987115446172026153029714192831319913844250460872947398751227203788706198639984869677558644828075081470696266238574318667587988261622145105851867239638347908748484097522996003549480412351056353788274561364025878505630918752988478313539000986159424519542294242974934802160519971569612274311455932823926794704833137816154048989522891291282240439162171110774462185072109727084878295427030978701273224201979697049680809357402680478009544325801040947278516468731813953634999970785256197457762705168987132049275005506097713300999585226026606027955353525684695658442124676362821873057811884298725890303307249078769638300390804123192348095643916288631290705079308764317727371213123291633561036562747580464141173318061768327220656745592880529975952776071434736862427096608496048217085042592964478275165937150908478042373705460253541423409719321579485925313860629542373878517639648871389100302980740260538238344207429299711095312128159907202117153293413197740949299439706250384555761130536278551899918579480014784775669031099591114347887028033122603604053963399586015251063359174877487127199429354030558788330577868155140796750676997267815432879611772099095881963391230566937530099332247560981607300952114503696842047496804516687181959236955418877663972883701051269547853660168143933103653240210971754972953378767755327865333867463504877384347451478788131206724462045184053079700921899095276251181899193538099540881030635503484065685459640187720835616568912075053667024450888377543269802252649669061337007277199751843591562207092746015080919196372974129601661098540908777658027399543371605760755790469164518543302270740048630399611936068402968460303467430723356839090467701020203563917556183919772373412241700856847512507495691625337640204807092118261014386863550144670149939915417346793047066472777453611131656035032341170377973500847889378139740568346468233181095114954822429577331872723175919965516266298419655475189328903566267533492054638523627445686895211088027496654532835326870917669907478166131911265655145854424811700253093951146101334762232273749570336796947941766447846759581563283082760527242997314649374760985186216774331829232221811457556243959843733614825865159615272675456908088366348521729509229366652952987900036354173318703261957151307671985212993636761512166182843464551412236947740136159085904696918051975258536727634835221172393582188587488970709160839523692799764250029869958299869026631362997261299369304354911337054250076347270946255378515374556963812136117886509803244740055742346554474304854893729693769543995981038993907093207957551958867228986373484670656236253324051905628203666077287270002150388095210332003479336361060210757722552995199121366435796
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.253s
user	0m0.230s
sys	0m0.030s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:10:24 2004

Input: sum(n=1,3,1/n^12)

Output: 2177317873/2176782336

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:10:36 2004

Input: sum(n=1,1000,1/n^12)

Output: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.247s
user	0m0.230s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:13:18 2004

Input: 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 + 0.0

Output: 1.000246086553308048298637998 E391

Errors (if any) and Timing Info:
Timing:
real	0m0.111s
user	0m0.090s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:16:18 2004

Input: 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 + 0.0
3/Pi

Output: 1.000246086553308048298637998 E391
0.9549296585513720146133025802

Errors (if any) and Timing Info:
Timing:
real	0m0.108s
user	0m0.090s
sys	0m0.010s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:16:50 2004

Input: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665762041013718440484472011490171013337039687175821332396931150488947300768010934350376640322044836067799693466207623345418933726500664530880222180812739472865739470583589800151918459768664535337201/1722839764115886534391055858322029694497788350564443817939276584592333644079088168799416078500948945242001695232841536487563700966065913407821416374324611703581708137552595572497689325739290203793211740192559032605583647131148091675567400648176013770088002805131150175166069188927391166098700392026374389853617792618245853174954705372142099621425299705737194249891674041790149975610440768288212645876891685378822601052461607368371079998102359808897380714958200810047286404508605226337850311104188606340728253750634934772876742017826584157939907730600965962362888216304588942302201076801477034230825290406806292736704279174227273880107540187548141128870842494777910742187796155553432394806576145839639045893296882017994905998449668851547075936021974110098354155772975812223113508843976595863659996705629989348944345017557258106214804611920973288082661490257733180452225001524551805526774372693362827428028315536346211471755974695458680110224717058951904973407095158428772358747566345210874031839681326681878743138474745027870581823768689591226144105689732715169147248121448068095471325786243430775160603313911270798621752488236653447771455119750770232774060186068434916582082429535803293014151628759431352167189370699093930788585312026700645828920768210653718600587220094258386452163752347804712450471350059526242325266518126288996593828833313566897116528424414662144700168208717637082491584311245692632850914761199971006164532643217695428705000209738889486580870449646795062750122191019730785781554674292746155076881136972802913429662784225658890792647061852738417819424489251187566085236025253335930935812449905119719101878151371789291852115786289116999128442807306068046195254130440581442630011650222430593438920138270210073780414201154712722602397364923880913504396949809786987142562228751550483202022001610245420311037873286338844446602034186976853911944706246159702852912503723172138306356160609588856690653567479571240672847255657584869732056483465906737757880393615100587568887084136216787873376911036984661160790978008298638634815419055098430457828185363442636304929850307648470477252958154180544765615445516933388923500796499987115446172026153029714192831319913844250460872947398751227203788706198639984869677558644828075081470696266238574318667587988261622145105851867239638347908748484097522996003549480412351056353788274561364025878505630918752988478313539000986159424519542294242974934802160519971569612274311455932823926794704833137816154048989522891291282240439162171110774462185072109727084878295427030978701273224201979697049680809357402680478009544325801040947278516468731813953634999970785256197457762705168987132049275005506097713300999585226026606027955353525684695658442124676362821873057811884298725890303307249078769638300390804123192348095643916288631290705079308764317727371213123291633561036562747580464141173318061768327220656745592880529975952776071434736862427096608496048217085042592964478275165937150908478042373705460253541423409719321579485925313860629542373878517639648871389100302980740260538238344207429299711095312128159907202117153293413197740949299439706250384555761130536278551899918579480014784775669031099591114347887028033122603604053963399586015251063359174877487127199429354030558788330577868155140796750676997267815432879611772099095881963391230566937530099332247560981607300952114503696842047496804516687181959236955418877663972883701051269547853660168143933103653240210971754972953378767755327865333867463504877384347451478788131206724462045184053079700921899095276251181899193538099540881030635503484065685459640187720835616568912075053667024450888377543269802252649669061337007277199751843591562207092746015080919196372974129601661098540908777658027399543371605760755790469164518543302270740048630399611936068402968460303467430723356839090467701020203563917556183919772373412241700856847512507495691625337640204807092118261014386863550144670149939915417346793047066472777453611131656035032341170377973500847889378139740568346468233181095114954822429577331872723175919965516266298419655475189328903566267533492054638523627445686895211088027496654532835326870917669907478166131911265655145854424811700253093951146101334762232273749570336796947941766447846759581563283082760527242997314649374760985186216774331829232221811457556243959843733614825865159615272675456908088366348521729509229366652952987900036354173318703261957151307671985212993636761512166182843464551412236947740136159085904696918051975258536727634835221172393582188587488970709160839523692799764250029869958299869026631362997261299369304354911337054250076347270946255378515374556963812136117886509803244740055742346554474304854893729693769543995981038993907093207957551958867228986373484670656236253324051905628203666077287270002150388095210332003479336361060210757722552995199121366435796 + 0.0
3/Pi
1.000246086553308048298637998/(Pi^12)

Output: 1.000246086553308048298637998 E391
0.9549296585513720146133025802
0.000001082202140403198604256805315

Errors (if any) and Timing Info:
Timing:
real	0m0.110s
user	0m0.100s
sys	0m0.010s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:19:15 2004

Input: 1.000246086553308048298637998/(Pi^12)

Output: 0.000001082202140403198604256805315

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:19:45 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:20:39 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:20:55 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

1/.270220588235294117647154557

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:21:16 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

1/.270220588235294117647154557

1/.700680272108843537413654913

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:21:33 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

1/.270220588235294117647154557

1/.700680272108843537413654913

1/.427184466019417475730825806

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:22:58 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

1/.270220588235294117647154557

1/.700680272108843537413654913

1/.340909090909090909076275322

1/.427184466019417475730825806

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.933333333333333333459248784
2.340909090909090909076275322

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:23:14 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

1/.270220588235294117647154557

1/.700680272108843537413654913

1/.340909090909090909076275322
1/.340909090909090909076275322

1/.427184466019417475730825806

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.933333333333333333459248784
2.933333333333333333459248784
2.340909090909090909076275322

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:23:40 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315

1/.7872648335745296671490

1/.270220588235294117647154557

1/.700680272108843537413654913

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:24:04 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:24:20 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784

Errors (if any) and Timing Info:
Timing:
real	0m0.099s
user	0m0.060s
sys	0m0.030s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:24:33 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322
1/.933333333333333333459248784

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784
1.071428571428571428426882773

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:24:59 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322
1/.933333333333333333459248784
1/.071428571428571428426882773

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784
1.071428571428571428426882773
14.00000000000000002833097649

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:25:37 2004

Input: 1.000246086553308048298637998/(Pi^12)

1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322
1/.933333333333333333459248784
1/.071428571428571428426882773
1/.00000000000000002833097649

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784
1.071428571428571428426882773
14.00000000000000002833097649
35297053751499548.11882306567

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:31:21 2004

Input: Pi^12*(456/421363049)

Output: 1.000246100779137443818658388

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:31:43 2004

Input: Pi^12*(456/421363049)
sum(n=1,1000,1/n^12)

Output: 1.000246100779137443818658388
17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665762041013718440484472011490171013337039687175821332396931150488947300768010934350376640322044836067799693466207623345418933726500664530880222180812739472865739470583589800151918459768664535337201/1722839764115886534391055858322029694497788350564443817939276584592333644079088168799416078500948945242001695232841536487563700966065913407821416374324611703581708137552595572497689325739290203793211740192559032605583647131148091675567400648176013770088002805131150175166069188927391166098700392026374389853617792618245853174954705372142099621425299705737194249891674041790149975610440768288212645876891685378822601052461607368371079998102359808897380714958200810047286404508605226337850311104188606340728253750634934772876742017826584157939907730600965962362888216304588942302201076801477034230825290406806292736704279174227273880107540187548141128870842494777910742187796155553432394806576145839639045893296882017994905998449668851547075936021974110098354155772975812223113508843976595863659996705629989348944345017557258106214804611920973288082661490257733180452225001524551805526774372693362827428028315536346211471755974695458680110224717058951904973407095158428772358747566345210874031839681326681878743138474745027870581823768689591226144105689732715169147248121448068095471325786243430775160603313911270798621752488236653447771455119750770232774060186068434916582082429535803293014151628759431352167189370699093930788585312026700645828920768210653718600587220094258386452163752347804712450471350059526242325266518126288996593828833313566897116528424414662144700168208717637082491584311245692632850914761199971006164532643217695428705000209738889486580870449646795062750122191019730785781554674292746155076881136972802913429662784225658890792647061852738417819424489251187566085236025253335930935812449905119719101878151371789291852115786289116999128442807306068046195254130440581442630011650222430593438920138270210073780414201154712722602397364923880913504396949809786987142562228751550483202022001610245420311037873286338844446602034186976853911944706246159702852912503723172138306356160609588856690653567479571240672847255657584869732056483465906737757880393615100587568887084136216787873376911036984661160790978008298638634815419055098430457828185363442636304929850307648470477252958154180544765615445516933388923500796499987115446172026153029714192831319913844250460872947398751227203788706198639984869677558644828075081470696266238574318667587988261622145105851867239638347908748484097522996003549480412351056353788274561364025878505630918752988478313539000986159424519542294242974934802160519971569612274311455932823926794704833137816154048989522891291282240439162171110774462185072109727084878295427030978701273224201979697049680809357402680478009544325801040947278516468731813953634999970785256197457762705168987132049275005506097713300999585226026606027955353525684695658442124676362821873057811884298725890303307249078769638300390804123192348095643916288631290705079308764317727371213123291633561036562747580464141173318061768327220656745592880529975952776071434736862427096608496048217085042592964478275165937150908478042373705460253541423409719321579485925313860629542373878517639648871389100302980740260538238344207429299711095312128159907202117153293413197740949299439706250384555761130536278551899918579480014784775669031099591114347887028033122603604053963399586015251063359174877487127199429354030558788330577868155140796750676997267815432879611772099095881963391230566937530099332247560981607300952114503696842047496804516687181959236955418877663972883701051269547853660168143933103653240210971754972953378767755327865333867463504877384347451478788131206724462045184053079700921899095276251181899193538099540881030635503484065685459640187720835616568912075053667024450888377543269802252649669061337007277199751843591562207092746015080919196372974129601661098540908777658027399543371605760755790469164518543302270740048630399611936068402968460303467430723356839090467701020203563917556183919772373412241700856847512507495691625337640204807092118261014386863550144670149939915417346793047066472777453611131656035032341170377973500847889378139740568346468233181095114954822429577331872723175919965516266298419655475189328903566267533492054638523627445686895211088027496654532835326870917669907478166131911265655145854424811700253093951146101334762232273749570336796947941766447846759581563283082760527242997314649374760985186216774331829232221811457556243959843733614825865159615272675456908088366348521729509229366652952987900036354173318703261957151307671985212993636761512166182843464551412236947740136159085904696918051975258536727634835221172393582188587488970709160839523692799764250029869958299869026631362997261299369304354911337054250076347270946255378515374556963812136117886509803244740055742346554474304854893729693769543995981038993907093207957551958867228986373484670656236253324051905628203666077287270002150388095210332003479336361060
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.249s
user	0m0.220s
sys	0m0.030s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Fri Jan  9 23:32:08 2004

Input: Pi^12*(456/421363049)

17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665762041013718440484472011490171013337039687175821332396931150488947300768010934350376640322044836067799693466207623345418933726500664530880222180812739472865739470583589800151918459768664535337201/1722839764115886534391055858322029694497788350564443817939276584592333644079088168799416078500948945242001695232841536487563700966065913407821416374324611703581708137552595572497689325739290203793211740192559032605583647131148091675567400648176013770088002805131150175166069188927391166098700392026374389853617792618245853174954705372142099621425299705737194249891674041790149975610440768288212645876891685378822601052461607368371079998102359808897380714958200810047286404508605226337850311104188606340728253750634934772876742017826584157939907730600965962362888216304588942302201076801477034230825290406806292736704279174227273880107540187548141128870842494777910742187796155553432394806576145839639045893296882017994905998449668851547075936021974110098354155772975812223113508843976595863659996705629989348944345017557258106214804611920973288082661490257733180452225001524551805526774372693362827428028315536346211471755974695458680110224717058951904973407095158428772358747566345210874031839681326681878743138474745027870581823768689591226144105689732715169147248121448068095471325786243430775160603313911270798621752488236653447771455119750770232774060186068434916582082429535803293014151628759431352167189370699093930788585312026700645828920768210653718600587220094258386452163752347804712450471350059526242325266518126288996593828833313566897116528424414662144700168208717637082491584311245692632850914761199971006164532643217695428705000209738889486580870449646795062750122191019730785781554674292746155076881136972802913429662784225658890792647061852738417819424489251187566085236025253335930935812449905119719101878151371789291852115786289116999128442807306068046195254130440581442630011650222430593438920138270210073780414201154712722602397364923880913504396949809786987142562228751550483202022001610245420311037873286338844446602034186976853911944706246159702852912503723172138306356160609588856690653567479571240672847255657584869732056483465906737757880393615100587568887084136216787873376911036984661160790978008298638634815419055098430457828185363442636304929850307648470477252958154180544765615445516933388923500796499987115446172026153029714192831319913844250460872947398751227203788706198639984869677558644828075081470696266238574318667587988261622145105851867239638347908748484097522996003549480412351056353788274561364025878505630918752988478313539000986159424519542294242974934802160519971569612274311455932823926794704833137816154048989522891291282240439162171110774462185072109727084878295427030978701273224201979697049680809357402680478009544325801040947278516468731813953634999970785256197457762705168987132049275005506097713300999585226026606027955353525684695658442124676362821873057811884298725890303307249078769638300390804123192348095643916288631290705079308764317727371213123291633561036562747580464141173318061768327220656745592880529975952776071434736862427096608496048217085042592964478275165937150908478042373705460253541423409719321579485925313860629542373878517639648871389100302980740260538238344207429299711095312128159907202117153293413197740949299439706250384555761130536278551899918579480014784775669031099591114347887028033122603604053963399586015251063359174877487127199429354030558788330577868155140796750676997267815432879611772099095881963391230566937530099332247560981607300952114503696842047496804516687181959236955418877663972883701051269547853660168143933103653240210971754972953378767755327865333867463504877384347451478788131206724462045184053079700921899095276251181899193538099540881030635503484065685459640187720835616568912075053667024450888377543269802252649669061337007277199751843591562207092746015080919196372974129601661098540908777658027399543371605760755790469164518543302270740048630399611936068402968460303467430723356839090467701020203563917556183919772373412241700856847512507495691625337640204807092118261014386863550144670149939915417346793047066472777453611131656035032341170377973500847889378139740568346468233181095114954822429577331872723175919965516266298419655475189328903566267533492054638523627445686895211088027496654532835326870917669907478166131911265655145854424811700253093951146101334762232273749570336796947941766447846759581563283082760527242997314649374760985186216774331829232221811457556243959843733614825865159615272675456908088366348521729509229366652952987900036354173318703261957151307671985212993636761512166182843464551412236947740136159085904696918051975258536727634835221172393582188587488970709160839523692799764250029869958299869026631362997261299369304354911337054250076347270946255378515374556963812136117886509803244740055742346554474304854893729693769543995981038993907093207957551958867228986373484670656236253324051905628203666077287270002150388095210332003479336361060 +0.0

Output: 1.000246100779137443818658388
1.000246086553308048298637998 E421

Errors (if any) and Timing Info:
Timing:
real	0m0.111s
user	0m0.080s
sys	0m0.040s

************** PARI *****************
Time: Sat Jan 10 02:05:14 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	0m0.020s

************** PARI *****************
Host f03v-10-160.d1.club-internet.fr. (212.194.45.160)
Time: Sat Jan 10 08:31:25 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	0m0.040s
sys	0m0.010s

************** PARI *****************
Host webcacheW05b.cache.pol.co.uk. (195.92.198.75)
Time: Sat Jan 10 11:15:10 2004

Input: 4583945634756+56878674564

Output: 4640824309320

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

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:38:18 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)

Output: 0.000001082202140403198604256805315

Errors (if any) and Timing Info:
Timing:
real	0m0.240s
user	0m0.200s
sys	0m0.040s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:44:22 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490

Errors (if any) and Timing Info:
Timing:
real	0m0.240s
user	0m0.200s
sys	0m0.040s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:45:08 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557

Errors (if any) and Timing Info:
Timing:
real	0m0.244s
user	0m0.220s
sys	0m0.030s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:46:05 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913

Errors (if any) and Timing Info:
Timing:
real	0m0.237s
user	0m0.220s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:46:50 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806

Errors (if any) and Timing Info:
Timing:
real	0m0.239s
user	0m0.220s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:47:57 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322

Errors (if any) and Timing Info:
Timing:
real	0m0.235s
user	0m0.220s
sys	0m0.010s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:48:50 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784

Errors (if any) and Timing Info:
Timing:
real	0m0.233s
user	0m0.200s
sys	0m0.030s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:49:32 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322
1/.933333333333333333459248784

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784
1.071428571428571428426882773

Errors (if any) and Timing Info:
Timing:
real	0m0.234s
user	0m0.210s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 13:50:17 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322
1/.933333333333333333459248784
1/.071428571428571428426882773

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784
1.071428571428571428426882773
14.00000000000000002833097649

Errors (if any) and Timing Info:
Timing:
real	0m0.239s
user	0m0.210s
sys	0m0.020s

************** PARI *****************
Host roam129-165.student.harvard.edu. (140.247.129.165)
Time: Sat Jan 10 14:13:06 2004

Input: sum(n=1,1000,1/n^12)/(Pi^12)
1/0.000001082202140403198604256805315
1/.7872648335745296671490
1/.270220588235294117647154557
1/.700680272108843537413654913
1/.427184466019417475730825806
1/.340909090909090909076275322
1/.933333333333333333459248784
1/.071428571428571428426882773
1/.00000000000000002833097649

Output: 0.000001082202140403198604256805315
924041.7872648335745296671490
1.270220588235294117647154557
3.700680272108843537413654913
1.427184466019417475730825806
2.340909090909090909076275322
2.933333333333333333459248784
1.071428571428571428426882773
14.00000000000000002833097649
35297053751499548.11882306567

Errors (if any) and Timing Info:
Timing:
real	0m0.238s
user	0m0.210s
sys	0m0.030s

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:28:29 2004

Input: xï¿½+2xï¿½+7x+3

Output:
Errors (if any) and Timing Info:  ***   unused characters: xï¿½+2xï¿½+7x+3
^----------

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:29:34 2004

Input: 2*x^2=3 + 6*x^2 + 22*x + 12

Output:
Errors (if any) and Timing Info:  ***   unexpected character: 2*x^2=3+6*x^2+22*x+12
^----------------

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:44:41 2004

Input: solve 2*x^2=3 + 6*x^2 + 22*x + 12

Output:
Errors (if any) and Timing Info:  ***   unexpected character: solve2*x^2=3+6*x^2+22*x+12
^----------------

Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:44:52 2004

Input: solve( 2*x^2=3 + 6*x^2 + 22*x + 12)

Output:
Errors (if any) and Timing Info:  ***   variable name expected: solve(2*x^2=3+6*x^2+22*x+1
^--------------------

Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:49:02 2004

Input: solve( 2*x^2=3 + 6*x^2 + 22*x + 12=0)

Output:
Errors (if any) and Timing Info:  ***   variable name expected: solve(2*x^2=3+6*x^2+22*x+1
^--------------------

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:49:20 2004

Input: polroots( 2*x^2=3 + 6*x^2 + 22*x + 12=0)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: polroots(2*x^2=3+6*x^2+22*x+12=0)
^-------------------

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:49:50 2004

Input: polroots(2*x^3+ 6*x^2 + 22*x + 12=0)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: ...roots(2*x^3+6*x^2+22*x+12=0)
^---

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:50:07 2004

Input: polroots(2*x^3+ 6*x^2 + 22*x + 12 = 0)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: ...roots(2*x^3+6*x^2+22*x+12=0)
^---

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:50:22 2004

Input: polroots(2*x^3+ 6*x^2 + 22*x + 12 = 0)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: ...roots(2*x^3+6*x^2+22*x+12=0)
^---

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:51:20 2004

Input: polroots(2*x^3+ 6*x^2 + 22*x + 12 )

Output: [-0.6312668124306237503913420546 + 0.E-28*I, -1.184366593784688124804328972 - 2.846396515370145088611555674*I, -1.184366593784688124804328972 + 2.846396515370145088611555674*I]~

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:51:31 2004

Input: polroots(x^5+2*x^2+1)

Output: [-1.363964602100452054561577732 + 0.E-28*I, -0.05277415108645189611947896053 - 0.6881474094065561301686882036*I, -0.05277415108645189611947896053 + 0.6881474094065561301686882036*I, 0.7347564521366779234002678265 - 0.9996524475026016762328186936*I, 0.7347564521366779234002678265 + 0.9996524475026016762328186936*I]~

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:53:05 2004

Input: polroots(x^2+10*x+39)

Output: [-5.000000000000000000000000000 - 3.741657386773941385583748732*I, -5.000000000000000000000000000 + 3.741657386773941385583748732*I]~

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:53:42 2004

Input: polroots(x^2+10*x-39)

Output: [-13.00000000000000000000000000 + 0.E-28*I, 3.000000000000000000000000000 + 0.E-28*I]~

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:54:47 2004

Input: polroots(2x^2+4*x+2)

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: polroots(2x^2+4*x+2)
^----------

Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:54:56 2004

Input: polroots(2*x^2+4*x+2)

Output: [-1.000000000000000000000000000 + 0.E-28*I, -1.000000000000000000000000000 + 0.E-28*I]~

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

************** PARI *****************
Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30)
Time: Sat Jan 10 14:58:08 2004

Input: polroots(10*x^2+15*x+5)

Output: [-1.000000000000000000000000000 + 0.E-28*I, -0.5000000000000000000000000000 + 0.E-28*I]~

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

************** PARI *****************
Time: Sat Jan 10 16:14:54 2004

Input: 6941372044925487738675387152189111745732039847701504273612536130666996402409750124783895966530170647511075085147439137214921516137540516588371707169957057

Output: 6941372044925487738675387152189111745732039847701504273612536130666996402409750124783895966530170647511075085147439137214921516137540516588371707169957057

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

************** PARI *****************
Host SYDNEYPACIFIC-SIXTY-SIX.MIT.EDU. (18.95.5.66)
Time: Sun Jan 11 00:02:36 2004

Input: pi^12/(691*sum(n=1,1000,1/n^12))

Output: 24932558091402120613474035576295654044830511585592529926762323944896290073503446726474907069478277065730849424498430339906855296180403956697849730453322890066305472323481846201124302832695950850842427499168726955218287223316180776781004350914269374386222906007686688497338193761612028452947907265215258898026306694909491362879228731868916058197182340169858093341413517247324891108689446719076883442502050439635638220730269281741983791578905351793015639869149071057124260557288064056987703489206781567883187463829738564006899305612541015310273628518103704231011406892975237949380623397995326110431625042066661255234504763737008305066679308068714053963398588925874250972327006592669065047852042631543256814664209580578797481887838912468119767525643619538326398781085033461984276538986636698461070864046743695353753184045691144807739574702184852215378603332239264550683429833929837996045938823348231945412855507038295390329319460136883937919315731678030462712114256996074853238025562159346946915190757260229793677836103401271643731168866708990248105726334771565400104893219219509341119041769080040161513796149222442816523190857259818346909625466726052572707093864955642787005534436118716252013771762075706977817501746730737059169107265219980402734019800443613872656833865329354362549403073050719427647921129660292942478531376646729328420098890210808930774651583424922499278845278113416533886893071572975873385162969608842346809444909083870169392188274079442642270194640329885133865733589286986769631760843599799639318106179056482104626089496753384816101983528983189838197170611449892418020781841582285541762842979813599408131377009721986857483585908670289422987594895890999221349553262526504234877158469210283551938062782492186306518295241023338966749600071257321468949304628216888381223765973249645198292648359048414186845700047559172857403792101113992097133787355226623775005969663142867413984893785956423396391513277562536044469569546419462658929905694152051197653840718018821817205312360871444108153066729912947339519406338759748750142046585457285534845559846070081567365120843815462669714225154184957232498052757119151793393643943559871424691346254023584865308702169520177285975006474656312984135871290863096741963495783572041607546609207905044490863496208223757194574614354084509961619518791376230434095565115490772084751863795579759247841946535903310462930221614167886919818010413057803805715409582641388879444461278023964295570575900214661907614385658314368904360090310262838945163161536687005929480244258978683516334316544489174814718519259180280791323849631611082504210525014710111893110761722141400654937734555176630520797858889652756962340279319820336121947988827139703700212672336354915721603789769288160409532936183839468148752093173667015978627964516579506748026502036252956711495191423606557500602511737142731513465472375880145611697933728751745193640086482674038660415873551766955260434851187916680071844837556670581055115456474293856154175708008823723901295020626828663235056061917766130953276253260535177138358006343620946878432866791781883645545616746067922043382647602017940756156071718684957109675136033553972214396306449624183785689064368842663286868358958812784364486472519006645077821810813305779363683918789154527759119258997839030351198486727635481506499216815678599574051194357443303148494668701895110195422530275651183856970870940075788066843381533616261954432265526102173200346354611479597843296019869079287521784773738550903958102422349456606060609713556070362448394400574543008669975054286279293683619385540970052612206715856518952824713760283886670218162860593696829064798021270654886391737501259150176552125088155748293672156513472057834630595218547917489738187809812263379788301096392992626181830948528252832706926633858349291872691294649833103194259867425332383516934928566100668363527820165155451531937011758429749517009227788781578757138364897060253981833142546163754230778481144232601699762823902402822465139947582829245266127035307388832799829713185168089071236318051112485140027785318614562929372727571480881383014001931867650340428761876800220131519934828575004852776713714470441073315946617447976061569100024605688769191694664757774707290152971588957278462611401545001180365891212163925368991528934511736399221660988883201624049369863332039939851427132067513163752137126728047588514450386823577849010896570013025128135648606414789539092730419467626535987865588512052727417531291417478149582620635379116035484446577955537407166731872555458590267568317064556288331299562434877422141219969161022161548440829223868369825055529005066227891041190381744071990694121738583471584801783570767811032511642175178797304337102308885614776251720797296786650534860596656821613381630336269946802487780437100811538165991348051926124606830730525851824315640488025368960913478530185183110276278352693912920285798080262283475496725181628653483314561731599041300917469610952918103104261706399616292213529982017761088583625180727031559260256433606013735832440224051608134045460091922733434165841224746278644370110138779837634690738031114418647422843333241779825534819331147190970277729517289713641066136338336192224382792237056000000000000000000000000000000000000000000000000/1723263731815339863859005057939988957444332011517790718554822102773450603882859443818900001184095197773756887566345591279013131760339810446045667982012739410359530303529433118897451831224898167164630437434905666967934775857160313436101515113657776879872557287612514399693149446182546237738813225025608131050448183877129181246355714235067051742320605682470118261280847827095860692899260752384542571809590750406420919692742340749341915939663281970901551221008849960787755679074147380652852977386370184136826969673520274966848684681366806367170382262806240820042538408149096843948469849980289700735497620763281319919633828341000275362499424673257377917975477101219322629027224276122059298227348631455399430187130743813273173656425441571898049097408862702504500590508731435710251321522732479540622387975386473849701365216136517240882485800784300237450408711365851099625647688360611519920662807016080673989744489251187541108947953821229730495502035924814880766041771492540544691107776549045916152044221592785234709261347398959388618287165542352477415988764690148473182722216238485696229899218209610925251434898196664661281226070731756830337583950476669190041986358756831764773204238564704276103798047249492192467392757502945859315204628272670320415836343200825021576099222353058597226115241016416967237837343893398351852742950427891717992756360921680434618732338941785172925227687926684233433709483790069303969118932521666042098094308037844296875025252442666920375284635077427130910520898923350393941572207311217296796828515334368420950064142834347828125700868389989116672202129941617774469747815152454011773964702246122424582206487161965515232871246136523279121063922758244252563178731859579082405246255861054664447791866387788027852717786186117651274490269043899197220332641753656067934637029721512912822007581065253517208875172672529510272946882385356637836060285840156643497801066900210928829925885966005645975696804285812709185679641605691001353603162555653528788830039581865791004870980938108883758016034362569686226022281999654695753465454216096625160052291595558705780332659891492198291214733813175531977279454793916672273474497571836696885393744627610913906830544995962402511334940956271282386627798841765876599256030186935937886383360065159949678911587571151719861811866123584789875554197665970261984905106652061486366232148390742010686703835602790122177748512721443031765737717030033668504882089057552291402541421755428037236151371321167350001557530595943844356210483586687411181209106904636852364417868291569716197642879718442941557961091713744498191333147656343771802707572394056518670365889147700210601324971859295804593458747762604516420173175607765415417932828396107140718195601957169617226067690460100330741964498932841667344083115560629236460656741041280772721506341935513624257640357552787887418546527400354094599723737544884260405074458338713551082517885902272494730347198846890925494155231763106552613421370545873005415231814695151327297055876576798451017106917885547406704620698875687103288166861694956195466254569779667603591239225167624784293353912077550136063629306513377971274528759599024251423757791410645980125877729683303864798580800921548356536966767865530387813833771207232015492105855978538412101016860156459687373683088346902686149734936442225511186448779233169930931921986839627432922205243924990892052183676248593939278146188510741891252401383775514747997764901289811797251366683998857280224372064824871330456663924106233732177695512105773437278582289646814803848236314304865110294409820150020477051438699212696527617093357790506963893479488788170648846758046306767719221040086453448502173245009098638015767815840994453089522107093978561186430679005601455631803156932953605509191998123642784881461837289518792057962371384551561677312023100017444126692460228377382356458892756370111603828219810953313182235954647255364674388676528855615073163373546162370825428006915381657967116885981604907751602945240126244628542414679049185164858524800861882588040715840040767575094490874163604149066477989540036225495558978246905258595151597629547594770896240897473695707502106718967578660982050539183215124835087925883794182193267407576031391061637562691384533532503077237520354385282775271813493013926191486952619022533024551460742218714651813721316273413721776927467970413924167618612858392910134723715844196911497968922376535860079118259652316776496118768908322759257900433375219399471729207963166639889851066262587387162404772845586762035376039788440733384989942424711068558334254153405676124117285258378378845772863096067354238589679609944268563434680533120524179753701765957123266275286529527240775870787662543290320155693930215397877688476413330372581265827715061042611761334785400972043225457113056030088470275580575176715868330991566050616034449965595544768201460833164182083895983
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.253s
user	0m0.240s
sys	0m0.010s

************** PARI *****************
Host SYDNEYPACIFIC-SIXTY-SIX.MIT.EDU. (18.95.5.66)
Time: Sun Jan 11 00:03:00 2004

Input: Pi^12/(691*sum(n=1,1000,1/n^12))

Output: 1337.252948284853219290401083

Errors (if any) and Timing Info:
Timing:
real	0m0.240s
user	0m0.220s
sys	0m0.020s

************** PARI *****************
Host 80-218-55-124.dclient.hispeed.ch. (80.218.55.124)
Time: Sun Jan 11 01:55:58 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	0m0.056s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (200.97.135.80)
Time: Sun Jan 11 18:11:33 2004

Input: 5!

Output: 120

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

************** PARI *****************
Host n137.ryd.student.liu.se. (130.236.215.137)
Time: Mon Jan 12 17:10:22 2004

Input: 2^23478098734 mod 65537

Output:
Errors (if any) and Timing Info:  ***   unused characters: 2^23478098734mod65537
^--------

Timing:
real	0m0.273s
user	0m0.060s
sys	0m0.010s

************** PARI *****************
Host host64.200-117-134.telecom.net.ar. (200.117.134.64)
Time: Mon Jan 12 20:46:24 2004

Input: for (i=1; i<=3; i++) printf("%d",2*i+pow(2,i));

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host host64.200-117-134.telecom.net.ar. (200.117.134.64)
Time: Mon Jan 12 20:46:37 2004

Input: for (i=1; i<=3; i++) i++;

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: for(i=1;i<=3;i++)i++;
^--------------

Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:25:34 2004

Input: 2*2

Output: 4

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:26:00 2004

Input: 2*2*7

Output: 28

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:28:43 2004

Input: 1./7

Output: 0.1428571428571428571428571428

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:31:26 2004

Input: exp(1)

Output: 2.718281828459045235360287471

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:31:43 2004

Input: log(exp(1))

Output: 0.9999999999999999999999999999

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:33:05 2004

Input: Pi

Output: 3.141592653589793238462643383

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:35:53 2004

Input: p 50

Output: p50

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:36:13 2004

Input: 1/7.

Output: 0.1428571428571428571428571428

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:36:35 2004

Input: p 50 ,1/7.

Output:
Errors (if any) and Timing Info:  ***   unused characters: p50,1/7.
^-----

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:37:47 2004

Input: p 50
1./7

Output: p50
0.1428571428571428571428571428

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:38:02 2004

Input: /p 50
1./7

Output: 0.1428571428571428571428571428

Errors (if any) and Timing Info:  ***   unexpected character: /p50
^----

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

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:42:38 2004

Input: 1/0.

Output:
Errors (if any) and Timing Info:  ***   division by zero in S/R

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (212.205.76.74)
Time: Tue Jan 13 02:44:03 2004

Input: sqrt(-1)

Output: 1.000000000000000000000000000*I

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

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.3)
Time: Tue Jan 13 09:28:33 2004

Input: K :=GF(2);
for i in [1 .. 10] do
C<D> := PrimitivePolynomial(K,521);
C;
end for;

Output:
Errors (if any) and Timing Info:  ***   unexpected character: K:=GF(2);
^-------

***   unused characters: foriin[1..10]do
^--

***   unexpected character: C<D>:=PrimitivePolynomia
^--------------------

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

************** PARI *****************
Host fenfak84063.fenfak.ege.edu.tr. (155.223.84.63)
Time: Tue Jan 13 11:37:26 2004

Input: 2^10

Output: 1024

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

************** PARI *****************
Host fenfak84063.fenfak.ege.edu.tr. (155.223.84.63)
Time: Tue Jan 13 11:37:38 2004

Input: 2^10000

Output: 19950631168807583848837421626835850838234968318861924548520089498529438830221946631919961684036194597899331129423209124271556491349413781117593785932096323957855730046793794526765246551266059895520550086918193311542508608460618104685509074866089624888090489894838009253941633257850621568309473902556912388065225096643874441046759871626985453222868538161694315775629640762836880760732228535091641476183956381458969463899410840960536267821064621427333394036525565649530603142680234969400335934316651459297773279665775606172582031407994198179607378245683762280037302885487251900834464581454650557929601414833921615734588139257095379769119277800826957735674444123062018757836325502728323789270710373802866393031428133241401624195671690574061419654342324638801248856147305207431992259611796250130992860241708340807605932320161268492288496255841312844061536738951487114256315111089745514203313820202931640957596464756010405845841566072044962867016515061920631004186422275908670900574606417856951911456055068251250406007519842261898059237118054444788072906395242548339221982707404473162376760846613033778706039803413197133493654622700563169937455508241780972810983291314403571877524768509857276937926433221599399876886660808368837838027643282775172273657572744784112294389733810861607423253291974813120197604178281965697475898164531258434135959862784130128185406283476649088690521047580882615823961985770122407044330583075869039319604603404973156583208672105913300903752823415539745394397715257455290510212310947321610753474825740775273986348298498340756937955646638621874569499279016572103701364433135817214311791398222983845847334440270964182851005072927748364550578634501100852987812389473928699540834346158807043959118985815145779177143619698728131459483783202081474982171858011389071228250905826817436220577475921417653715687725614904582904992461028630081535583308130101987675856234343538955409175623400844887526162643568648833519463720377293240094456246923254350400678027273837755376406726898636241037491410966718557050759098100246789880178271925953381282421954028302759408448955014676668389697996886241636313376393903373455801407636741877711055384225739499110186468219696581651485130494222369947714763069155468217682876200362777257723781365331611196811280792669481887201298643660768551639860534602297871557517947385246369446923087894265948217008051120322365496288169035739121368338393591756418733850510970271613915439590991598154654417336311656936031122249937969999226781732358023111862644575299135758175008199839236284615249881088960232244362173771618086357015468484058622329792853875623486556440536962622018963571028812361567512543338303270029097668650568557157505516727518899194129711337690149916181315171544007728650573189557450920330185304847113818315407324053319038462084036421763703911550639789000742853672196280903477974533320468368795868580237952218629120080742819551317948157624448298518461509704888027274721574688131594750409732115080498190455803416826949787141316063210686391511681774304792596709376

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

************** PARI *****************
Host 3(NXDOMAIN) (210.77.19.20)
Time: Tue Jan 13 20:47:57 2004

Input: F := EllipticCurve([0, 17]);
F;

Output:
Errors (if any) and Timing Info:  ***   unexpected character: F:=EllipticCurve([0,17
^--------------------

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

************** PARI *****************
Host 3(NXDOMAIN) (210.77.19.20)
Time: Tue Jan 13 21:42:33 2004

Input: E := EllipticCurve([-25, 0]);
E;

M := MinimalModel(E);
M;

G, h := TorsionSubgroup(E);
torsion_pts_E := [ h(g) : g in G ];
torsion_pts_E;

G2, h2 := TorsionSubgroup(M);
torsion_pts_M := [ h2(g) : g in G2 ];
torsion_pts_M;

Output:
Errors (if any) and Timing Info:  ***   unexpected character: E:=EllipticCurve([-25,
^--------------------

***   unexpected character: M:=MinimalModel(E);
^-----------------

***   unused characters: G,h:=TorsionSubgroup(
^--------------------

***   unexpected character: torsion_pts_E:=[h(g):ginG];
^-------------

***   unused characters: G2,h2:=TorsionSubgroup
^--------------------

***   unexpected character: torsion_pts_M:=[h2(g):ginG2];
^---------------

Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host 3(NXDOMAIN) (149.123.131.77)
Time: Wed Jan 14 13:05:15 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	0m0.069s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host dhip-066.classrooms.lovejoy.colby.edu. (137.146.170.130)
Time: Wed Jan 14 21:08:10 2004

Input: 6543+65

Output: 6608

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

************** PARI *****************
Time: Thu Jan 15 00:24:16 2004

Input: " 121!  "

Output: " 121!  "

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

************** PARI *****************
Host web-cache-3.ocs.mq.edu.au. (137.111.13.34)
Time: Thu Jan 15 00:55:13 2004

Input: x := 5

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

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

************** PARI *****************
Host RAS1-PRI-Async31.iservice.bg. (213.91.182.95)
Time: Thu Jan 15 05:57:46 2004

Input: ? a=2+0(7^30)

Output:
Errors (if any) and Timing Info:  ***   a=2+0(7^30): unknown identifier.

Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host RAS1-PRI-Async31.iservice.bg. (213.91.182.95)
Time: Thu Jan 15 05:59:12 2004

Input: 2+0(7^30)

Output:
Errors (if any) and Timing Info:  ***   unused characters: 2+0(7^30)
^------

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

************** PARI *****************
Host blaubaer.rz.tu-clausthal.de. (139.174.3.65)
Time: Thu Jan 15 11:33:59 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	0m0.058s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host blaubaer.rz.tu-clausthal.de. (139.174.3.65)
Time: Thu Jan 15 11:34:03 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	0m0.051s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:01:04 2004

Input: s=0;for(i=1,100,s+=1/i);s

Output: 14466636279520351160221518043104131447711/2788815009188499086581352357412492142272

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

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:15:08 2004

Input: factor(x^8 - 1);

Output:
Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.060s
sys	0m0.010s

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:15:51 2004

Input: print factor(x^8 - 1);

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: printfactor(x^8-1);
^------

Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:17:01 2004

Input: 18!

Output: 6402373705728000

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

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:18:31 2004

Input: factor(100)

Output:
[2 2]

[5 2]

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

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:18:49 2004

Input: factor(x^8-1,x);

Output:
Errors (if any) and Timing Info:  ***   this should be an integer: factor(x^8-1,x);
^---

Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host 203-195-199-244.now-india.net.in. (203.195.199.244)
Time: Thu Jan 15 12:19:24 2004

Input: factor(x^8-1)

Output:
[x - 1 1]

[x + 1 1]

[x^2 + 1 1]

[x^4 + 1 1]

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

************** PARI *****************
Host septsix.celar.fr. (192.134.105.76)
Time: Fri Jan 16 02:59:37 2004

Input: 34*89;

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

************** PARI *****************
Host linux141.ma.utexas.edu. (146.6.139.116)
Time: Fri Jan 16 16:06:20 2004

Input: ellinit([1,0,1,0,0])

Output: [1, 0, 1, 0, 0, 1, 1, 1, 0, -23, -181, -26, 12167/26, [-0.4320408003330957893895126561, 0.09102040016654789469475632806 - 0.7552246949237753066260830871*I, 0.09102040016654789469475632806 + 0.7552246949237753066260830871*I]~, 4.640189861495650057890915681, -2.320094930747825028945457840 + 1.739671741715756628817769267*I, -0.9563088804809468342233388917 + 1.96780548 E-29*I, 0.4781544402404734171116694458 - 1.035573184017404034122867776*I, 8.072407178239933052476358260]

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

************** PARI *****************
Host AC80648A.ipt.aol.com. (172.128.100.138)
Time: Fri Jan 16 17:17:36 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	0m0.056s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host ppp-111-169.26-151.libero.it. (151.26.169.111)
Time: Fri Jan 16 19:31:29 2004

Input: 1+1

Output: 2

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

************** PARI *****************
Host ppp-111-169.26-151.libero.it. (151.26.169.111)
Time: Fri Jan 16 19:32:11 2004

Input: 121!

Output: 809429852527344373968162284544935082997082306309701607045776233628497660426640521713391773997910182738287074185078904956856663439318382745047716214841147650721760223072092160000000000000000000000000000

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

************** PARI *****************
Time: Sat Jan 17 01:20:51 2004

Input: k=nfinit(x^3+x^2-10*x-8);
nfdisc(k);

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

Timing:
real	0m0.063s
user	0m0.020s
sys	0m0.050s

************** PARI *****************
Time: Sat Jan 17 01:21:12 2004

Input: k=nfinit(x^3+x^2-10*x-8);

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

************** PARI *****************
Time: Sat Jan 17 01:21:36 2004

Input: nfdisc(x^3+x^2-10*x-8);

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

************** PARI *****************
Host ipc3795f41.dial.planet.nl. (195.121.95.65)
Time: Sat Jan 17 11:08:20 2004

Input: 23*45

Output: 1035

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.030s
sys	0m0.050s

************** PARI *****************
Time: Sat Jan 17 15:17:20 2004

Input: e

Output: e

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

************** PARI *****************
Host DSL217-132-173-125.bb.netvision.net.il. (217.132.173.125)
Time: Sat Jan 17 17:17:19 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	0m0.059s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 202-177-146-27.sify.net. (202.177.146.27)
Time: Sun Jan 18 07:06:41 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 202-177-146-27.sify.net. (202.177.146.27)
Time: Sun Jan 18 07:06:50 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	0m0.058s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host cache-dl09.proxy.aol.com. (205.188.209.45)
Time: Sun Jan 18 19:02:28 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	0m0.053s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host cache-dl09.proxy.aol.com. (205.188.209.45)
Time: Sun Jan 18 19:08:13 2004

Input: def ulalm(n):
u=[1,2]
k=3
n-=2
while 0<n
c=0
d=[k-x for x in u if x>k/2]
for y n d:
if u.count(y)>0:
c+=1
if c>1
break
if c==l:
u.append(k)
n-=1
return u

Output: [1, 2]
3
n - 2
0
1
n - 3
returnu

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: defulalm(n):
^-

***   incorrect type in comparison.
***   incorrect type in comparison.
***   unused characters: ifu.count(y)>0:
^------

***   incorrect type in comparison.
***   unused characters: u.append(k)
^---

Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host cache-dl09.proxy.aol.com. (205.188.209.45)
Time: Sun Jan 18 19:09:55 2004

Input: def ulam(n):
u=[1,2]
k=3
n-=2
while 0<n
c=0
d=[k-x for x in u if x>k/2]
for y n d:
if u.count(y)>0:
c+=1
if c>1
break
if c==l:
u.append(k)
n-=1
return u

Output: [1, 2]
3
n - 2
0
1
n - 3
returnu

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: defulam(n):
^-

***   incorrect type in comparison.
***   incorrect type in comparison.
***   unused characters: ifu.count(y)>0:
^------

***   incorrect type in comparison.
***   unused characters: u.append(k)
^---

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

************** PARI *****************
Host cache-dl09.proxy.aol.com. (205.188.209.45)
Time: Sun Jan 18 19:13:56 2004

Input: def ulam(n):
u=[1,2]
k=3
n-=2
while 0<n:
c=0
d=[k-x for x in u if x>k/2]
for y n d:
if u.count(y)>0:
c+=1
if c>1:
break
if c==l:
u.append(k)
n-=1
k+=1
return u

Output: [1, 2]
3
n - 2
0
1
n - 3
4
returnu

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: defulam(n):
^-

***   incorrect type in comparison.
***   incorrect type in comparison.
***   unused characters: ifu.count(y)>0:
^------

***   incorrect type in comparison.
***   unused characters: u.append(k)
^---

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

************** PARI *****************
Host cache-dl09.proxy.aol.com. (205.188.209.45)
Time: Sun Jan 18 19:16:32 2004

Input: def ulam(n):
u = [1,2]
k = 3
n -= 2
while 0<n:
c = 0
d = [k-x for x in u if x>k/2]
for y n d:
if u.count(y)>0:
c += 1
if c > 1:
break
if c == l:
u.append(k)
n -= 1
k += 1
return u

Output: [1, 2]
3
n - 2
0
1
n - 3
4
returnu

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: defulam(n):
^-

***   incorrect type in comparison.
***   incorrect type in comparison.
***   unused characters: ifu.count(y)>0:
^------

***   incorrect type in comparison.
***   unused characters: u.append(k)
^---

Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (193.219.169.234)
Time: Mon Jan 19 06:50:56 2004

Input: (a-b)*(a+b)+b^2

Output: a^2

Errors (if any) and Timing Info:
Timing:
real	0m0.094s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (193.219.169.234)
Time: Mon Jan 19 06:51:33 2004

Input: (a-b)*(a+b)+b^2

Output: a^2

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

************** PARI *****************
Host L0123P15.dipool.highway.telekom.at. (62.46.79.79)
Time: Mon Jan 19 14:33:04 2004

Input: znstar(60);

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

************** PARI *****************
Host L0123P15.dipool.highway.telekom.at. (62.46.79.79)
Time: Mon Jan 19 14:33:12 2004

Input: znstar(60)

Output: [16, [4, 2, 2], [Mod(47, 60), Mod(31, 60), Mod(41, 60)]]

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

************** PARI *****************
Host l-ml411-08.cavern.carleton.ca. (134.117.82.95)
Time: Mon Jan 19 20:28:35 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	0m0.055s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (143.235.219.2)
Time: Tue Jan 20 06:44:56 2004

Input: (x+y)^3

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

Errors (if any) and Timing Info:
Timing:
real	0m0.364s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 1-1-5-46b.orby.sth.bostream.se. (82.182.86.197)
Time: Tue Jan 20 06:55:26 2004

Input: factorint((10^43-1)/9)

Output:
[173 1]

[1527791 1]

[1963506722254397 1]

[2140992015395526641 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.348s
user	0m0.260s
sys	0m0.030s

************** PARI *****************
Host 1-1-5-46b.orby.sth.bostream.se. (82.182.86.197)
Time: Tue Jan 20 06:56:04 2004

Input: factorint((10^43-1)/9)

Output:
[173 1]

[1527791 1]

[1963506722254397 1]

[2140992015395526641 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.292s
user	0m0.280s
sys	0m0.010s

************** PARI *****************
Host 1-1-5-46b.orby.sth.bostream.se. (82.182.86.197)
Time: Tue Jan 20 06:56:46 2004

Input: factorint((10^71-1)/9)

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.249s
user	0m20.900s
sys	0m0.100s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:10:09 2004

Input: E=ellinit(1,0,1,4,-6)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: E=ellinit(1,0,1,4,-6)
^--------

Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:10:32 2004

Input: ellinit(1,0,1,4,-6)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ellinit(1,0,1,4,-6)
^--------

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:13:56 2004

Input: ellinit(1,0,1,4,-6);

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ellinit(1,0,1,4,-6);
^---------

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:14:13 2004

Input: Ellinit(1,0,1,4,-6);

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Ellinit(1,0,1,4,-6);
^--------------------

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:16:30 2004

Input: E=ellinit([1,0,1,4,-6])

Output: [1, 0, 1, 4, -6, 1, 9, -23, -26, -215, 5291, -21952, 9938375/21952, [1.000000000000000000000000000, -0.6250000000000000000000000000 + 2.315032397181516766688913784*I, -0.6250000000000000000000000000 - 2.315032397181516766688913784*I]~, 1.981341956066883234169571676, 0.9906709780334416170847858383 + 1.325491239682486714334966291*I, -1.114903922580357283178519645 + 0.E-38*I, -0.5574519612901786415892598226 - 2.331444111357506469354477179*I, 2.626251405582016186497854968]

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:16:37 2004

Input: E=ellinit([1,0,1,4,-6]);

Output:
Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:17:33 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]

Output: 14

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:19:22 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
ellak(E,3)

Output: 14
-2

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:20:48 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)

Output: 14
4
6
6
7

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:20:53 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)

Output: 14
4
6
6
7

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:42:58 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 09:48:43 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
ellpower(E,[9,23],3)

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: ellpower(E,[9,23],3)
^--------------------

Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.100)
Time: Tue Jan 20 09:59:27 2004

Input: ?

Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
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	0m0.054s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (194.165.15.100)
Time: Tue Jan 20 09:59:44 2004

Input: ?7

Output:
poldegree          poldisc            poldiscreduced     polhensellift
polrecip           polresultant       polroots           polrootsmod
polsym             poltchebi          polzagier          serconvol
serlaplace         serreverse         subst              taylor
thue               thueinit

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:05:55 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
disc(E)
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

Errors (if any) and Timing Info:  ***   obsolete function: disc(E)
^-------
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	0m0.059s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:06:09 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
discrim(E)
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

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

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:06:38 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
elldisc(E)
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

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

Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:07:06 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
??? ellglobalred

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]
ellak        ellglobalred elltaniyama

Functions related to elliptic curves
[0m

Errors (if any) and Timing Info:
Timing:
real	0m0.359s
user	0m0.250s
sys	0m0.050s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:07:19 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
? ellglobalred

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]
ellglobalred(e): e being an elliptic curve, returns [N,[u,r,s,t],c], where N
is the conductor of e, [u,r,s,t] leads to the standard model for e, and c is
the product of the local Tamagawa numbers c_p.

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:08:22 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
delta(E)

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

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

Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:09:08 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
ellglobalred(E)[3]

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]
6

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:11:13 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
help disc

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]
helpdisc

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:11:19 2004

Input: E=ellinit([1,0,1,4,-6]);
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)
? disc

Output: 14
4
6
6
7
[6, [6], [[9, 23]]]

Errors (if any) and Timing Info:  ***   obsolete function: disc
^----
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	0m0.064s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:12:30 2004

Input: E=ellinit([0,-1,0,-4,4]);
poldisc(x^3-x^2-4x+4)
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E);

Output: 24
3
5
8
8

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: poldisc(x^3-x^2-4x+4)
^----

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:12:52 2004

Input: E=ellinit([0,-1,0,-4,4]);
poldisc(x^3-x^2-4x+4,x)
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E);

Output: 24
3
5
8
8

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: poldisc(x^3-x^2-4x+4,x)
^------

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:13:21 2004

Input: E=ellinit([0,-1,0,-4,4]);
poldisc(x^3-x^2-4*x+4)
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E);

Output: 144
24
3
5
8
8

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:40:51 2004

Input: E=ellinit([0,-1,0,-4,4]);
poldisc(x^3-x^2-4*x+4)
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E);
j(E)

Output: 144
24
3
5
8
8

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

Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 10:41:06 2004

Input: E=ellinit([0,-1,0,-4,4]);
poldisc(x^3-x^2-4*x+4)
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E);
ellj(E)

Output: 144
24
3
5
8
8

Errors (if any) and Timing Info:  ***   bad argument for modular function.

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Tue Jan 20 11:05:28 2004

Input: E=ellinit([0,-1,0,-4,4]);
poldisc(x^3-x^2-4*x+4)
ellglobalred(E)[1]
3-ellak(E,2)
4-ellak(E,3)
6-ellak(E,5)
8-ellak(E,7)
elltors(E)

Output: 144
24
3
5
8
8
[8, [4, 2], [[4, 6], [1, 0]]]

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

************** PARI *****************
Host dialup-67.75.105.117.Dial1.Stamford1.Level3.net. (67.75.105.117)
Time: Tue Jan 20 20:58:03 2004

Input: > X := Matrix(IntegerRing(), 2, 2, [1,2, 3,4]);
> X;

Output:
Errors (if any) and Timing Info:  ***   unexpected character: >X:=Matrix(IntegerRi
^--------------------

***   unexpected character: >X;
^---

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

************** PARI *****************
Host web-cache-3.ocs.mq.edu.au. (137.111.13.34)
Time: Tue Jan 20 21:09:40 2004

Input: p 1000;ps 1000
classnum = 7
h(a,b,c)=a^(-1/4)*sqrt(norm(eta((b+sqrt(b^2-4*a*c))/(2*a),1)))
z=exp(2*Pi*I/classnum)
pol(a,d)=local(c);c=co(a,d);return(Mod(Pol(c)/(-c[1])+x^(2*classnum),bnf.pol));
s=vector(classnum)
sig(a,d)=local(p);p=pol(a,d);s[1]=p;for(y=1,classnum-1,s[y+1]=nfgaloisapply(bnf,aut[2],s[y]));return(s);
t=vector(classnum)
seval(a,d)=local(r);sig(a,d);r=polroots(bnf.pol)[1];x=r;for(y2=1,classnum,t[y2]=eval(s[y2].pol));return(t);
initconjugates(a,d)=seval(a,d);kill(x);
l(y)=log(sqrt(norm(y)))
res(i)=sum(yval=1,classnum,z^((yval-1)*i)*l(t[yval]))
m1 = h(1,1,18)^2/h(2,1,9)^2
m2 = h(2,1,9)^2/h(3,1,6)^2
m3 = h(3,1,6)^2/h(4,3,5)^2
L0X(j)=-log(m1)-(1+z^(j)+z^(6*j))*log(m2)+(z^(3*j)+z^(4*j))*log(m3)
initconjugates(m1,-71)

Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.

************** PARI *****************
Host web-cache-3.ocs.mq.edu.au. (137.111.13.34)
Time: Tue Jan 20 21:10:44 2004

Input: p 1000;ps 1000
classnum = 7
h(a,b,c)=a^(-1/4)*sqrt(norm(eta((b+sqrt(b^2-4*a*c))/(2*a),1)))
z=exp(2*Pi*I/classnum)
pol(a,d)=local(c);c=co(a,d);return(Mod(Pol(c)/(-c[1])+x^(2*classnum),bnf.pol));
s=vector(classnum)
sig(a,d)=local(p);p=pol(a,d);s[1]=p;for(y=1,classnum-1,s[y+1]=nfgaloisapply(bnf,aut[2],s[y]));return(s);
t=vector(classnum)
seval(a,d)=local(r);sig(a,d);r=polroots(bnf.pol)[1];x=r;for(y2=1,classnum,t[y2]=eval(s[y2].pol));return(t);
initconjugates(a,d)=seval(a,d);kill(x);
l(y)=log(sqrt(norm(y)))
res(i)=sum(yval=1,classnum,z^((yval-1)*i)*l(t[yval]))
m1 = h(1,1,18)^2/h(2,1,9)^2
m2 = h(2,1,9)^2/h(3,1,6)^2
m3 = h(3,1,6)^2/h(4,3,5)^2
L0X(j)=-log(m1)-(1+z^(j)+z^(6*j))*log(m2)+(z^(3*j)+z^(4*j))*log(m3)
initconjugates(m1,-71)

Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:23:55 2004

Input: E=ellinit([0,-1,0,-4,4]);
ellak(E,5)

Output: -2

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:25:26 2004

Input: E=ellinit([0,-1,0,-4,4]);
for(n=1,10,p=3*n+2,if(isprime(p),ellak(E,p),))

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(n=1,10,p=3*n+2
***   ,if(isprime(p),ellak
^--------------------

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:25:40 2004

Input: E=ellinit([0,-1,0,-4,4]);
for(n=1,10,p=3*n+2;if(isprime(p),ellak(E,p),))

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:25:53 2004

Input: E=ellinit([0,-1,0,-4,4]);
for(n=1,10,p=3*n+2;if(isprime(p),print(ellak(E,p)),))

Output: -2
4
2
-8
6

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:26:05 2004

Input: E=ellinit([0,-1,0,-4,4]);
for(n=1,30,p=3*n+2;if(isprime(p),print(ellak(E,p)),))

Output: -2
4
2
-8
6
-6
0
-2
4
8
-4
-6

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:27:14 2004

Input: E=ellinit([0,-1,0,-4,4]);
for(n=1,50,p=3*n+2;if(isprime(p),print(ellak(E,p)),))

Output: -2
4
2
-8
6
-6
0
-2
4
8
-4
-6
-18
-12
18
-4
-6
14

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:33:14 2004

Input: E=ellinit([0,-1,0,-4,4]);ellj(E)
for(n=1,50,p=3*n+2;if(isprime(p),print(ellak(E,p)),));

Output:
Errors (if any) and Timing Info:  ***   bad argument for modular function.
***   bad argument for an elliptic curve related function

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 04:45:18 2004

Input: E:=EllipticCurve([0,-1,0,-4,4])
jInvariant(E)

Output:
Errors (if any) and Timing Info:  ***   unexpected character: E:=EllipticCurve([0,-1
^--------------------

***   expected character: '=' instead of: jInvariant(E)
^

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

************** PARI *****************
Host fw-gw-atm.mimuw.edu.pl. (193.0.96.15)
Time: Wed Jan 21 07:57:28 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	0m0.076s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 09:47:51 2004

Input: E=ellinit([1,1,1,-30,-76])
for(n=1,10,p=3*n+2;if(isprime(p),print(p,ellak(E,p)),));

Output: [1, 1, 1, -30, -76, 5, -59, -303, -1249, 1441, 54703, -121, -24729001, [5.910108859108164430749262377, -3.580054429554082215374631188 + 0.01526701752830331222597821170*I, -3.580054429554082215374631188 - 0.01526701752830331222597821170*I]~, 1.019794861782916556837117278, 0.5098974308914582784185586391 + 2.763008673400832787307062166*I, -1.613006424023573219926624190 + 0.E-28*I, -0.8065032120117866099633120954 - 7.450854753409852605074951432*I, 2.817702048195801906706119140]
51
110
175
232
29-9

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 09:47:56 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(n=1,10,p=3*n+2;if(isprime(p),print(p,ellak(E,p)),));

Output: 51
110
175
232
29-9

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Wed Jan 21 09:48:24 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(n=1,10,p=3*n+2;if(isprime(p),print([p,ellak(E,p)]),));

Output: [5, 1]
[11, 0]
[17, 5]
[23, 2]
[29, -9]

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

************** PARI *****************
Host love314-mcbane.me.gatech.edu. (128.61.141.157)
Time: Wed Jan 21 10:04:38 2004

Input: a=10
b=5
a/b

Output: 10
5
2

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

************** PARI *****************
Host love314-mcbane.me.gatech.edu. (128.61.141.157)
Time: Wed Jan 21 10:04:58 2004

Input: a=[10 5;4 5]
b=5
a/b

Output:
[105]

[45]

5

[21]

[9]

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

************** PARI *****************
Host love314-mcbane.me.gatech.edu. (128.61.141.157)
Time: Wed Jan 21 10:05:10 2004

Input: a=[10, 5;4, 5]
b=5
a/b

Output:
[10 5]

[4 5]

5

[2 1]

[4/5 1]

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

************** PARI *****************
Host love314-mcbane.me.gatech.edu. (128.61.141.157)
Time: Wed Jan 21 10:05:38 2004

Input: a=[10, 5;4, 5]
b=5
a/b
inv(a)

Output:
[10 5]

[4 5]

5

[2 1]

[4/5 1]

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

Timing:
real	0m0.067s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host love314-mcbane.me.gatech.edu. (128.61.141.157)
Time: Wed Jan 21 10:05:52 2004

Input: a=[10, 5;4, 5]
b=5
a/b
inverse(a)

Output:
[10 5]

[4 5]

5

[2 1]

[4/5 1]

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

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

************** PARI *****************
Host s02a.gnmipr.gm.com. (198.208.223.35)
Time: Wed Jan 21 14:49:45 2004

Input: 2*2

Output: 4

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

************** PARI *****************
Host s02a.gnmipr.gm.com. (198.208.223.35)
Time: Wed Jan 21 14:49:55 2004

Input: 2789*972

Output: 2710908

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

************** PARI *****************
Host s02a.gnmipr.gm.com. (198.208.223.35)
Time: Wed Jan 21 14:49:57 2004

Input: 2789*972

Output: 2710908

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

************** PARI *****************
Host s02a.gnmipr.gm.com. (198.208.223.35)
Time: Wed Jan 21 14:50:16 2004

Input: 123456789*123456789

Output: 15241578750190521

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

************** PARI *****************
Host gauss02.uni-math.gwdg.de. (134.76.82.92)
Time: Wed Jan 21 15:18:00 2004

Input: 1+2

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.115s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host gauss02.uni-math.gwdg.de. (134.76.82.92)
Time: Wed Jan 21 15:18:07 2004

Input: 1+2

Output: 3

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

************** PARI *****************
Host gauss02.uni-math.gwdg.de. (134.76.82.92)
Time: Wed Jan 21 15:18:28 2004

Input: 1+2

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.030s

************** PARI *****************
Host pub-708c-9.Math.Berkeley.EDU. (169.229.58.104)
Time: Wed Jan 21 16:21:54 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	0m0.062s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:33:30 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),);
^

Timing:
real	0m0.089s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:34:14 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),);
^

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:34:21 2004

Input: E:=ellinit([1,1,1,-30,-76]);
for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output:
Errors (if any) and Timing Info:  ***   unexpected character: E:=ellinit([1,1,1,-30,
^--------------------

***   expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),);
^

Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:34:48 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3);
for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),);
^

Timing:
real	0m0.074s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:35:09 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3);
% for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:35:17 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3);
& for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output:
Errors (if any) and Timing Info:  ***   unused characters: &for(l=3,10,if(isprime(l
^--------------------

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:35:23 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3);
// for(l=3,10,  if( isprime(l) , print(ellak(E,l)^2-4*l) , );

Output:
Errors (if any) and Timing Info:  ***   unexpected character: //for(l=3,10,if(ispr
^--------------------

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:35:48 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3);

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:35:53 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3)

Output: 2

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:36:02 2004

Input: E=ellinit([1,1,1,-30,-76]);
ellak(E,3)
ellak(E,3)

Output: 2
2

Errors (if any) and Timing Info:
Timing:
real	0m0.086s
user	0m0.030s
sys	0m0.050s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:37:22 2004

Input: E=ellinit([1,1,1,-30,-76]);
print(ellak(E,3));
for(l=3,11,  if( isprime(l) , print(ellak

Output: 2

Errors (if any) and Timing Info:  ***   expected character: '(' instead of: ...if(isprime(l),print(ellak
^

Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:37:47 2004

Input: E=ellinit([1,1,1,-30,-76]);
print(ellak(E,3));
for(l=3,11,  if( isprime(l) , print(ellak(E,l)^2-4*l) ))

Output: 2
-8
-19
-24
-44

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:38:03 2004

Input: E=ellinit([1,1,1,-30,-76]);
print(ellak(E,3));
for(l=3,11,  if( isprime(l) , print(ellak(E,l)^2-4*l mod 11) ))

Output: 2
-4*lmod11 + 4
-4*lmod11 + 1
-4*lmod11 + 4
-4*lmod11

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:38:14 2004

Input: E=ellinit([1,1,1,-30,-76]);
print(ellak(E,3));
for(l=3,11,  if( isprime(l) , print(ellak(E,l)^2-4*l ) ))

Output: 2
-8
-19
-24
-44

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:39:06 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2-4*l ) ));

Output: -8
-19
-24
-44

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:39:47 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2-4*l ) ));

for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) ));

Output: -8
-19
-24
-44
4/3
1/5
4/7
0

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:40:54 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( legendre(ellak(E,l)^2-4*l,11) ) ));

for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) ));

Output: 4/3
1/5
4/7
0

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

New syntax: legendre(n) ===> pollegendre(n)

pollegendre(n,{v=x}): legendre polynomial of degree n (n C-integer), in
variable v.

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:42:57 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2-4*l ) ));

for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) ));

Output: -8
-19
-24
-44
4/3
1/5
4/7
0

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:43:17 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2-4*l ) ));

for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) ));

Output: -8
-19
-24
-44
4/3
1/5
4/7
0

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:43:37 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2-4*l ) ));

/* for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) )); */

Output: -8
-19
-24
-44

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:44:32 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l),ellak(E,l)^2-4*l ) ));

/* for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) )); */

Output: 2-8
1-19
2-24
0-44

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:44:49 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=3,11,  if( isprime(l) , print( ellak(E,l)," ",ellak(E,l)^2-4*l ) ));

/* for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) )); */

Output: 2 -8
1 -19
2 -24
0 -44

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

************** PARI *****************
Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249)
Time: Thu Jan 22 06:45:48 2004

Input: E=ellinit([1,1,1,-30,-76]);
for(l=13,50,  if( isprime(l) , print( ellak(E,l)," ",ellak(E,l)^2-4*l ) ));

/* for(l=3,11,  if( isprime(l) , print( ellak(E,l)^2/l ) )); */

Output: -1 -51
5 -43
-6 -40
2 -88
-9 -35
-2 -120
-3 -139
5 -139
0 -172
2 -184

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

************** PARI *****************
Host penduick28.etu.univ-rennes1.fr. (148.60.40.28)
Time: Thu Jan 22 11:58:06 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	0m0.080s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host 80-218-10-211.dclient.hispeed.ch. (80.218.10.211)
Time: Thu Jan 22 17:53:15 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	0m0.054s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 80-218-10-211.dclient.hispeed.ch. (80.218.10.211)
Time: Thu Jan 22 17:53:34 2004

Input: 1+1

Output: 2

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

************** PARI *****************
Host v157.tekom.odessa.ua. (195.138.81.157)
Time: Thu Jan 22 23:49:32 2004

Input: 2*2-0.23

Output: 3.770000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host v157.tekom.odessa.ua. (195.138.81.157)
Time: Thu Jan 22 23:50:10 2004

Input: ?

Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
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	0m0.058s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host v157.tekom.odessa.ua. (195.138.81.157)
Time: Thu Jan 22 23:51:28 2004

Input: factorial(80)/factorial(160)

Output: 1.517998987255682940315520747 E-166

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

************** PARI *****************
Host v157.tekom.odessa.ua. (195.138.81.157)
Time: Thu Jan 22 23:52:24 2004

Input: ?12

Output: The standard distribution of GP/PARI includes a reference manual, a tutorial,
a reference card and quite a few examples. They should have been installed in
the directory '/usr/local/lib/pari'. If not you should ask the person who
them from the PARI WWW site 'http://www.parigp-home.de/'.

Three mailing lists are devoted to PARI:
- pari-announce (moderated) to announce major version changes.
- pari-dev for everything related to the development of PARI, including
suggestions, technical questions, bug reports and patch submissions.
- pari-users for everything else!
To subscribe, send an empty message to <listname>[email protected] You
can only send messages to the lists you have subscribed to! An archive is kept
at the WWW site mentioned above. You can also reach the authors directly by
email: [email protected] (answer not guaranteed).

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

************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Fri Jan 23 01:30:48 2004

Input: d=(20^eulerphi(20))/((2^(eulerphi(20)))*(5^(eulerphi(20)/4)))

Output: 4000000

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

************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Fri Jan 23 01:32:35 2004

Input: ((20)!/20^20)*(4/Pi)^4*sqrt(4000000)

Output: 0.0001219537541178089335610464218

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

************** PARI *****************
Host roc-66-67-200-73.rochester.rr.com. (66.67.200.73)
Time: Fri Jan 23 10:03:19 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	0m0.072s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:55:07 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 student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:55:25 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	0m0.056s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:55:43 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	0m0.053s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:55:53 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	0m0.071s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:56:05 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	0m0.057s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:56:58 2004

Input: contfrac(sqrt(8))

Output: [2, 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	0m0.072s
user	0m0.040s
sys	0m0.040s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 10:59:45 2004

Input: contfrac(sqrt(8))

Output: [2, 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	0m0.060s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 11:00:59 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	0m0.057s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 11:01:09 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	0m0.061s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 11:01:19 2004

Input: contfrac(sqrt(12))

Output: [3, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 11:01:31 2004

Input: contfrac(sqrt(13))

Output: [3, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 7]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 11:01:52 2004

Input: contfrac(sqrt(14))

Output: [3, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 3]

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Fri Jan 23 11:02:03 2004

Input: contfrac(sqrt(15))

Output: [3, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7]

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

************** PARI *****************
Host 3(NXDOMAIN) (65.241.52.198)
Time: Fri Jan 23 14:30:10 2004

Input: 52!

Output: 80658175170943878571660636856403766975289505440883277824000000000000

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

************** PARI *****************
Host 3(NXDOMAIN) (65.241.52.198)
Time: Fri Jan 23 14:30:45 2004

Input: 52!/60/60/24/365.25

Output: 2.555903337736199158733890944 E60

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

************** PARI *****************
Host 3(NXDOMAIN) (65.241.52.198)
Time: Fri Jan 23 14:31:11 2004

Input: floor(52!/60/60/24/365.25)

Output:
Errors (if any) and Timing Info:  ***   precision loss in truncation

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

************** PARI *****************
Host 3(NXDOMAIN) (65.241.52.198)
Time: Fri Jan 23 14:32:04 2004

Input: floor(52!/(60*60*24*365.2425))

Output:
Errors (if any) and Timing Info:  ***   precision loss in truncation

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

************** PARI *****************
Host 3(NXDOMAIN) (65.241.52.198)
Time: Fri Jan 23 14:33:13 2004

Input: 52!/(60*60*24*3652425)

Output: 197575384996433173064032522184018633586345055459737600000000/773

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

************** PARI *****************
Host ip-221.net-81-220-87.toulouse.rev.numericable.fr. (81.220.87.221)
Time: Fri Jan 23 16:04:46 2004

Input: 1+1

Output: 2

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

************** PARI *****************
Host ip-221.net-81-220-87.toulouse.rev.numericable.fr. (81.220.87.221)
Time: Fri Jan 23 16:05:18 2004

Input: 1+1

Output: 2

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

************** PARI *****************
Host tow25dhcp183.towson01.md.comcast.net. (68.33.25.183)
Time: Fri Jan 23 16:13:46 2004

Input: AHAH

Output: AHAH

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

************** PARI *****************
Host tow25dhcp183.towson01.md.comcast.net. (68.33.25.183)
Time: Fri Jan 23 16:13:46 2004

Input: AHAH

Output: AHAH

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

************** PARI *****************
Host 62-237-72-80.hpna.wlannet.com. (62.237.72.80)
Time: Fri Jan 23 16:14:12 2004

Input: sdfasdfasdf

Output: sdfasdfasdf

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

************** PARI *****************
Host 3(NXDOMAIN) (217.76.104.138)
Time: Fri Jan 23 16:14:23 2004

Input: 123

Output: 123

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

************** PARI *****************
Host pcp486497pcs.howard01.md.comcast.net. (68.55.18.94)
Time: Fri Jan 23 18:20:58 2004

Input: 2 + 2

Output: 4

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

************** PARI *****************
Host du-011-0088.freeuk.com. (212.126.154.88)
Time: Sun Jan 25 13:03:34 2004

Input: 44^44

Output: 2050773823560610053645205609172376035486179836520607547294916966189367296

Errors (if any) and Timing Info:
Timing:
real	0m0.102s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host du-011-0088.freeuk.com. (212.126.154.88)
Time: Sun Jan 25 13:03:57 2004

Input: 44^44

Output: 2050773823560610053645205609172376035486179836520607547294916966189367296

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

************** PARI *****************
Host du-011-0088.freeuk.com. (212.126.154.88)
Time: Sun Jan 25 13:04:08 2004

Input: 444^444

Output: 274181867963021452236233098115415899720776205798649755793667915961236790274589588340150992768838522033181214516284285332773163064469482041901003908126050422955612888919193934414520264211619150516791746766169089527422112735455691316517219258451182646508224779320212392542987483229069236254216598092621103632551390087850968989089099464497128935323467029182130683400149701073650091196852136571107489847564227504319046561398518922741929687815408469723169188873887882230322166952158753390120554531578647460220302381245259634634469767947795755147705092032914527384068630183109187993236769944866212774292942582416757317197927837501391362584057134071021551533313131406893521078023657100146103388103428321685173807760191113376709657657395886097014206038723956927777772422903690643103118361188528532331570074306316944892941075080102793904295150057658633501250162034388403842338437258226367135375352848005596082763545270786578951069417785335762883852191304642416990955392728403464665816357313934692154694224918478621155151771588457206018359592714202916841031166217552839560214893121104836629359007910041332262083007051081312403504450964912888379989399053705177940430208243717095550877696

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

************** PARI *****************
Host du-011-0088.freeuk.com. (212.126.154.88)
Time: Sun Jan 25 13:04:21 2004

Input: 4444^4444

Output: 51036325037255080482040250195524395924782475482284514747828975986739479076862531615833001864027197875434172496782212810360936998814871028023280409517604289704232997250059817651452033902564981053474342143982434477010055077902971385879578097026795047013927210448069737612599735362894194645352399692361078824902286318374845566910211826792995098340076750261275207380564696757508258866109492489008027054745680387374032086494559412870696129709065543691586334825135439896393158947581127115655037247166912914512319390738590640498634195625879446208894955914635034539916382798196213477934038238442489518643389819322763837231638995434876736816619770138446121390713888522791536946903634459632202283685832172716842435855510281455739906068471774207538472233042602654906987502020125355985174905073230021003332170469140247237244791060151179276706887404173003683055711061565810462576130616749856799781002110356843640353389697516105223217210103014498528306981517615490248684606667345224474348209121691273006311131751894943803682584935085740780294725135881300910139685500678650664234655503263565369409930765042230344332922608368160388778788884646783931717914556412663681132017810017876756080237495986180628149778075630681683591162326934481582867517270565879385831508832179085202869797913623439391361789109534083973333868667373983317982638572836694588790263878531057321976457926706035794868607608000143128674258835749966110713648807550164642010195262398183937258284226451876181050405347824263231418489797089530605962873018298377904732924409245273472327709725894372282581058105524768663834139458191519630744589334410903481777861176889172389729459938914093278379923249077505369097142894400504292204972847535451294121869487522728274420380832944409608875582828867828954197345766989736271752262574052524120907677713841267414723824130389733862221839461701104193136612118363646182343780367533924798552314345440639416532935766910365326476064001062650439978986012613987836953446823328289018854743984831229989513368552344528366528946668277450956579664476698698885070608528868908111446990296036082707295422437498210126018245317186940472025919131910253989876920575814124256871659639320221224077385578352633571849429475276431189292090749302555041209922023332951651543444331299226763535432904707263476043787719983745748717480573667954495246311916624921943890202395518185431320767988580847947776915325464644299195013041220210205633708318303125892843920543505189879552980904823153381789682321967075253543745292851858094342413804502283186371602546057238458117043544418057384120943532580155301403058643552474493180342399235704855733869062287425023484735796769739544602182545742884488193642040911298424695109308187173595023672783492809262968798087358959434038837430012625131591133659217967823611347405958524526761075933856486406418498051232221083011321212500132046393237242013712920493373344264333908560825994557724645284878202710188644471617856313308716424505617800507511537779281500711830120905910660921253482993943955008380295422529597530517295272711434751373008436807762561135017027186247688032009272581704436132546155134721473880825079177160955223780677219678433502729700278074401926182830254603399513829993142929857388403374970772760874169394709868564511659882097055434991242192905557305121043626131448358657169258733625263781589882596980551044501739635559777554180414767408625727263397938235392611846506923430547435639632653715759798163299353598450502659980053847341549979536485533374417981344585777831913637495528436408273284344143251860794994623002364275788357898174586933809803529995199669549788973653323309952532823803289549965974624000722832093785514980924652516482515851200807081969699906466651892169655557373657152851157852684704918682011477489156069723781227666168420881320735023475233908968720310190825736586213239037243220048657578805360944016440781006626608828743161303712574375577649933225532651050545140041874017741023508427656767689065668130401769027151944649429611356508622419636497843616839733378873568423125359771873606835205422792731727757560994851502223732734474706040309843864498501849591435827118166412237796262100139892025690084293327010312257645197663545951270607774391829880728221106093312903241196615084223406747347511355606911250776846847504818687953378149563999211135192267588652390035544532377329198071915314030957493059007692692874887653124427108176927564311114294162352327908126401618689986841523872090872302734801513886689193125816660511991658004864418535953189435072045784455379328488152720292135875359370818523073632235999955560096920959353029918712650480503579008169962642053112282387206511169150739976823577289086369441166995256367827923437835419123223095040378846316251345016228949289846720433174619937560455378596315532968385243164693560657516484944148695965324488849710057293245594493054144125301383618793154325438553456395029494822177859020897215350982592844274046353318091605614965118200898804114383826069406964847820436615643622261068438963617832290603017594755753950537202287361798424395102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
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.145s
user	0m0.090s
sys	0m0.050s

************** PARI *****************
Time: Mon Jan 26 08:43:58 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	0m0.054s
user	0m0.050s
sys	0m0.000s

************** PARI *****************
Time: Mon Jan 26 08:45:20 2004

Input: prime element

Output: primeelement

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

************** PARI *****************
Time: Mon Jan 26 08:45:57 2004

Input: prime element

Output: primeelement

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

************** PARI *****************
Host naifmac.jpl.nasa.gov. (137.78.102.97)
Time: Mon Jan 26 20:35:55 2004

Input: sin(x)

Output: x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host naifmac.jpl.nasa.gov. (137.78.102.97)
Time: Mon Jan 26 20:36:14 2004

Input: sin(x) + cos(x)

Output: 1 + x - 1/2*x^2 - 1/6*x^3 + 1/24*x^4 + 1/120*x^5 - 1/720*x^6 - 1/5040*x^7 + 1/40320*x^8 + 1/362880*x^9 - 1/3628800*x^10 - 1/39916800*x^11 + 1/479001600*x^12 + 1/6227020800*x^13 - 1/87178291200*x^14 - 1/1307674368000*x^15 + O(x^16)

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

************** PARI *****************
Host naifmac.jpl.nasa.gov. (137.78.102.97)
Time: Mon Jan 26 20:36:30 2004

Input: sin(x)*cos(x)

Output: x - 2/3*x^3 + 2/15*x^5 - 4/315*x^7 + 2/2835*x^9 - 4/155925*x^11 + 4/6081075*x^13 - 8/638512875*x^15 + O(x^16)

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

************** PARI *****************
Host naifmac.jpl.nasa.gov. (137.78.102.97)
Time: Mon Jan 26 20:36:50 2004

Input: 12!

Output: 479001600

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

************** PARI *****************
Host c-24-17-30-82.client.comcast.net. (24.17.30.82)
Time: Tue Jan 27 11:34:59 2004

Input: IsPrime(7)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: IsPrime(7)
^----------

Timing:
real	0m0.096s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Host du-003-0053.freeuk.com. (212.126.145.53)
Time: Tue Jan 27 15:28:11 2004

Input: 4444^4444

Output: 5103632503725508048204025019552439592478247548228451474782897598673947907686253161583300186402719787543417249678221281036093699881487102802328040951760428970423299725005981765145203390256498105347434214398243447701005507790297138587957809702679504701392721044806973761259973536289419464535239969236107882490228631837484556691021182679299509834007675026127520738056469675750825886610949248900802705474568038737403208649455941287069612970906554369158633482513543989639315894758112711565503724716691291451231939073859064049863419562587944620889495591463503453991638279819621347793403823844248951864338981932276383723163899543487673681661977013844612139071388852279153694690363445963220228368583217271684243585551028145573990606847177420753847223304260265490698750202012535598517490507323002100333217046914024723724479106015117927670688740417300368305571106156581046257613061674985679978100211035684364035338969751610522321721010301449852830698151761549024868460666734522447434820912169127300631113175189494380368258493508574078029472513588130091013968550067865066423465550326356536940993076504223034433292260836816038877878888464678393171791455641266368113201781001787675608023749598618062814977807563068168359116232693448158286751727056587938583150883217908520286979791362343939136178910953408397333386866737398331798263857283669458879026387853105732197645792670603579486860760800014312867425883574996611071364880755016464201019526239818393725828422645187618105040534782426323141848979708953060596287301829837790473292440924527347232770972589437228258105810552476866383413945819151963074458933441090348177786117688917238972945993891409327837992324907750536909714289440050429220497284753545129412186948752272827442038083294440960887558282886782895419734576698973627175226257405252412090767771384126741472382413038973386222183946170110419313661211836364618234378036753392479855231434544063941653293576691036532647606400106265043997898601261398783695344682332828901885474398483122998951336855234452836652894666827745095657966447669869888507060852886890811144699029603608270729542243749821012601824531718694047202591913191025398987692057581412425687165963932022122407738557835263357184942947527643118929209074930255504120992202333295165154344433129922676353543290470726347604378771998374574871748057366795449524631191662492194389020239551818543132076798858084794777691532546464429919501304122021020563370831830312589284392054350518987955298090482315338178968232196707525354374529285185809434241380450228318637160254605723845811704354441805738412094353258015530140305864355247449318034239923570485573386906228742502348473579676973954460218254574288448819364204091129842469510930818717359502367278349280926296879808735895943403883743001262513159113365921796782361134740595852452676107593385648640641849805123222108301132121250013204639323724201371292049337334426433390856082599455772464528487820271018864447161785631330871642450561780050751153777928150071183012090591066092125348299394395500838029542252959753051729527271143475137300843680776256113501702718624768803200927258170443613254615513472147388082507917716095522378067721967843350272970027807440192618283025460339951382999314292985738840337497077276087416939470986856451165988209705543499124219290555730512104362613144835865716925873362526378158988259698055104450173963555977755418041476740862572726339793823539261184650692343054743563963265371575979816329935359845050265998005384734154997953648553337441798134458577783191363749552843640827328434414325186079499462300236427578835789817458693380980352999519966954978897365332330995253282380328954996597462400072283209378551498092465251648251585120080708196969990646665189216965555737365715285115785268470491868201147748915606972378122766616842088132073502347523390896872031019082573658621323903724322004865757880536094401644078100662660882874316130371257437557764993322553265105054514004187401774102350842765676768906566813040176902715194464942961135650862241963649784361683973337887356842312535977187360683520542279273172775756099485150222373273447470604030984386449850184959143582711816641223779626210013989202569008429332701031225764519766354595127060777439182988072822110609331290324119661508422340674734751135560691125077684684750481868795337814956399921113519226758865239003554453237732919807191531403095749305900769269287488765312442710817692756431111429416235232790812640161868998684152387209087230273480151388668919312581666051199165800486441853595318943507204578445537932848815272029213587535937081852307363223599995556009692095935302991871265048050357900816996264205311228238720651116915073997682357728908636944116699525636782792343783541912322309504037884631625134501622894928984672043317461993756045537859631553296838524316469356065751648494414869596532448884971005729324559449305414412530138361879315432543855345639502949482217785902089721535098259284427404635331809160561496511820089880411438382606940696484782043661564362226106843896361783229060301759475575395053720228736179842439510276132562874051149340010817121271870900538251197889890806112689893305888021955543957697473838211321643734213536267226323153592219663624263296626761779778234962076654951909120587740700304612400650030922203405373437185708555406200484092683265246792108020875074340363564691479018798533498495287512351177800185710306124538624908276346171684319237848961831794499812003633131809265200601265513068237247598729136246677949103639240665201143412590830017220107545930141396706406379312681280708386422117719450505613665258084474495255089381662647651993632286219270721897068113223937716814718380121189692674846495176959745099855186807071863571180666691557991007019889742565299934958746240453163112046422973837930092020111165780496459962995272470154232339198534096867286006066963303427522567415561858818264102457439106286574658901754967121024213569232027690919235644900114042933242401016870472823232021092971693772467674980038137617059600306942677185824529032560790108152636810931666876309699712636318124581350724428036646664893228127812637378539504360178643276370903070205024013382898639088038527398692956972045807251709679502730547108593866880765469894801562257354604681818348357421007647642431412697116868939267412150910191824650495599388431520928200130171902196632101339597649699169214242522353508791756559650743592499115866749752816161713263445978738445945062241172330248066415406556053193408520093501247929286780453750433057879694015330586585777847021100588208730401112190351695709917616759211778948894685301304552737512486706568604303842632285781336680301578629414563224800133745968848369125734466775680881076395169758929151508917847123374639130844372368251827997933771835930906060269369033056012127425470105867434809142393247347139809050284303855233598544330321844412827316844546154452587584730154906749663345496641028982920703923713119949632098286432311475827768707958948212730701883890947308636147017442515560541609861079308261066688265774188255309318804848617643450161495549550819622829958383583967550253233252376269646380412967827885908248264227274222209752388892149494363575365908334005440623724567528250163243316691081914000483567266462625465694510019817760972676179393874499876413225560983684128123190188925572062763243152456341433579485538794063898392157866857282062636536933248629871066383835278632615674946872658381712677383814077586686885475041016455346246966010947424390327216541945623743108518544899586638918932868402607914610120955885411151278442351365384604942184431570679447301750871929933126244277478021560416421493578168080081211305485503973969553588968922298314517655337893181347680818018179774617512736265726317285853252744533079545363081731335380594744527260227285975512816535024569990928279081235014238973953200166526410614520349431506071407757237765114611578731230702251206444934024143706471442881146162766129614838362421724589185290046088836410040684215782177934284279935593151231471848019934128498980619206424501373180294032016931492146509899643960756782709129924388627683238297554375807096311778949062465846167758183047054719858165271416391798180316103986938124744099620521384317907136599718524484951570932446599358003982558877937640382619629537673398091803476018659432786896430016307207099366760813719843974589462283096467057735706814098791301647286933270174519472835441434398724077519718387218455099757571179328376524834569679854418775134261204508085262832202116797713191261303862500811984940542984669420488718317223624286228833679094771214906190122069146305465508936400689876628070011103408510606919594269999638625770005626017492523797890236162873818398973726653672765659018643008643410406689955598497043062669911339342775938753574968256548576873344197688401257294059685610888708449303272982623847661005981228784153168185774299866462325859291903485003475620155889277543198895554594051171715895055495486034595904571029634647547706308688813658431163710054789832041512428426505068161105150988954540112065162443912214976496396858657466135999045514311035191321652192323842998006078647072708181697496966241035548875930875115568893160317567583836193538432689661991040144993512953812281767287128400206927365767492414875971554590152094779911485765636540451731821671575236506524336798074887068255342495799418247247771372142841234850010132319343743177056148129377153581570970068560101898874969988379653338032155192597040421193070372281487014738304302435089907612783934505587181870491500702277462307958352729456951928138016614788565512000480852367431082772590887435500254665714845790505371032347103281992340947593930321523400969614546891287784544415742870572532426984511887330746475043270212236339570840281380926695444517641695405068039063440421072166927014811035974591317906062301218379603424144217986461663769539858127810044325151369019018160832019727795761861858610306584353690362458575272112307285748440700188469576310414185227778797233157800767597454753457305195167590628776623200907747700954629944611426614847085390898512300958755541697242022190375735995080872111971894520284073146272
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.150s
user	0m0.090s
sys	0m0.060s

************** PARI *****************
Host user-vc8frgq.biz.mindspring.com. (216.135.238.26)
Time: Tue Jan 27 16:38:56 2004

Input: 36!^1/4)

Output:
Errors (if any) and Timing Info:  ***   unused characters: 36!^1/4)
^-

Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host hecate.telcordia.com. (192.4.209.5)
Time: Tue Jan 27 18:49:27 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	0m0.072s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host 39.220.27.24.cfl.rr.com. (24.27.220.39)
Time: Tue Jan 27 19:13:18 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	0m0.063s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (202.128.229.42)
Time: Tue Jan 27 22:17:33 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 student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:54:15 2004

Input: contfrac(sqrt(433))

Output: [20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40, 1, 4, 4, 2, 2, 1, 3]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:55:21 2004

Input: pnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1])

Output:
Errors (if any) and Timing Info:  ***   obsolete function: pnqn([20,1,4,4,2,2,1
^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).

New syntax: pnqn(x) ===> contfracpnqn(x)

contfracpnqn(x): [p_n,p_{n-1}; q_n,q_{n-1}] corresponding to the continued
fraction x.

Timing:
real	0m0.093s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:55:37 2004

Input: pnqn{[20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1]}

Output:
Errors (if any) and Timing Info:  ***   unused characters: pnqn{[20,1,4,4,2,2,1,3,1
^--------------------

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:55:58 2004

Input: pnqn({20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1})

Output:
Errors (if any) and Timing Info:  ***   unexpected character: pnqn({20,1,4,4,2,2,1,3,13
^--------------------

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:56:07 2004

Input: pnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1])

Output:
Errors (if any) and Timing Info:  ***   obsolete function: pnqn([20,1,4,4,2,2,1
^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).

New syntax: pnqn(x) ===> contfracpnqn(x)

contfracpnqn(x): [p_n,p_{n-1}; q_n,q_{n-1}] corresponding to the continued
fraction x.

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:56:27 2004

Input: contfracpnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1])

Output:
[7230660684 5847088561]

[347483377 280993144]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:57:30 2004

Input: (7230660684)^2 - 433(347483377^2)

Output:
Errors (if any) and Timing Info:  ***   unused characters: (7230660684)^2-433(347483377^2)
^-------------

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Tue Jan 27 23:57:51 2004

Input: 7230660684^2 - 433*(347483377^2)

Output: -1

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: Wed Jan 28 00:08:12 2004

Input: contfrac(sqrt(433))

Output: [20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40, 1, 4, 4, 2, 2, 1, 3]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Wed Jan 28 00:08:39 2004

Input: contfracpnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40])

Output:
[295073515921 7230660684]

[14180328224 347483377]

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: Wed Jan 28 00:09:09 2004

Input: 295073515921^2 - 433*(14180328224^2)

Output: 33

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: Wed Jan 28 00:09:56 2004

Input: contfracpnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1])

Output:
[104564907854286695713 84556626747777671428]

[5025068784834899736 4063532157588700993]

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Wed Jan 28 00:10:29 2004

Input: 104564907854286695713^2 - 433*(5025068784834899736^2)

Output: 1

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

************** PARI *****************
Host spc-14.csse.uwa.edu.au. (130.95.1.14)
Time: Wed Jan 28 03:57:37 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	0m0.064s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host 3(NXDOMAIN) (218.52.49.253)
Time: Wed Jan 28 07:25:21 2004

Input: 1/7

Output: 1/7

Errors (if any) and Timing Info:
Timing:
real	0m0.128s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (218.52.49.253)
Time: Wed Jan 28 07:25:53 2004

Input: 1./7

Output: 0.1428571428571428571428571428

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

************** PARI *****************
Host 3(NXDOMAIN) (218.39.19.105)
Time: Wed Jan 28 07:26:04 2004

Input: 1./7.

Output: 0.1428571428571428571428571428

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

************** PARI *****************
Host 3(NXDOMAIN) (218.52.49.253)
Time: Wed Jan 28 07:27:37 2004

Input: cos(30)

Output: 0.1542514498875840507186621468

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

************** PARI *****************
Host 3(NXDOMAIN) (218.39.19.104)
Time: Wed Jan 28 07:28:00 2004

Input: cos(60)

Output: -0.9524129804151562926938165958

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

************** PARI *****************
Host 3(NXDOMAIN) (218.39.19.104)
Time: Wed Jan 28 07:28:14 2004

Input: cos(3.14)

Output: -0.9999987317275395452851143063

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

************** PARI *****************
Host sub5-03.stud.uni-goettingen.de. (134.76.60.136)
Time: Wed Jan 28 14:00:57 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	0m0.056s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host sub5-03.stud.uni-goettingen.de. (134.76.60.136)
Time: Wed Jan 28 14:01:17 2004

Input: ?

Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
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	0m0.058s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host sub5-03.stud.uni-goettingen.de. (134.76.60.136)
Time: Wed Jan 28 14:01:32 2004

Input: ?4

Output:
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
sqrtint       znlog         znorder       znprimroot    znstar

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host sub5-03.stud.uni-goettingen.de. (134.76.60.136)
Time: Wed Jan 28 14:02:25 2004

Input: q

Output: q

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

************** PARI *****************
Host sub5-03.stud.uni-goettingen.de. (134.76.60.136)
Time: Wed Jan 28 14:02:35 2004

Input: q

Output: q

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

************** PARI *****************
Host sub5-03.stud.uni-goettingen.de. (134.76.60.136)
Time: Wed Jan 28 14:02:48 2004

Input: p100

Output: p100

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

************** PARI *****************
Time: Thu Jan 29 04:21:47 2004

Input: sun + fun = swim

Output: sun + swim

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

************** PARI *****************
Time: Thu Jan 29 10:08:03 2004

Input: ifactor(25)

Output:
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: ifactor(25)
^-----------

Timing:
real	0m0.281s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Time: Thu Jan 29 10:08:45 2004

Input: factor(25)

Output:
[5 2]

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.060s
sys	0m0.010s

************** PARI *****************
Time: Thu Jan 29 10:08:54 2004

Input: factor(250)

Output:
[2 1]

[5 3]

Errors (if any) and Timing Info:
Timing:
real	0m0.092s
user	0m0.030s
sys	0m0.010s

************** PARI *****************
Time: Thu Jan 29 10:10:12 2004

Input: factor(250002454)

Output:
[2 1]

[13 1]

[9615479 1]

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

************** PARI *****************
Time: Thu Jan 29 10:10:22 2004

Input: factor(250002454455424513216854)

Output:
[2 1]

[3 2]

[211 1]

[65824764206272910273 1]

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

************** PARI *****************
Time: Thu Jan 29 10:10:52 2004

Input: factor(25000245445542451321685465345345435454542)

Output:
[2 1]

[11 2]

[577 1]

[37489 1]

[98561 1]

[25072337 1]

[1932632682625324831 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.160s
user	0m0.090s
sys	0m0.020s

************** PARI *****************
Time: Thu Jan 29 10:11:29 2004

Input: factor(250002454455424513216854653453454354545421545248534548534546545345)

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.049s
user	0m20.980s
sys	0m0.020s

************** PARI *****************
Time: Thu Jan 29 10:11:43 2004

Input: factor(25000245445542451321685465345345435445248534548534546545345)

Output:
[3 1]

[5 1]

[12305779 1]

[343002977 1]

[394862610799814046656924330134503086808181 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.257s
user	0m0.240s
sys	0m0.010s

************** PARI *****************
Time: Thu Jan 29 10:11:57 2004

Input: factor(250002454455424513216854653453454354452565638534548534546545345)

Output:
[3 1]

[5 1]

[197591189 1]

[1967507429 1]

[42871537410379677915586797717246201629363383 1]

Errors (if any) and Timing Info:
Timing:
real	0m3.130s
user	0m3.120s
sys	0m0.010s

************** PARI *****************
Time: Thu Jan 29 10:12:26 2004

Input: factor(25000245445542451321685465345345435445256563853454853454654534511)

Output:
[139 1]

[163 2]

[127399 1]

[53135924886781103035009438989032042556028971767548979 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.040s

************** PARI *****************
Host 3(NXDOMAIN) (80.232.193.34)
Time: Thu Jan 29 16:03:33 2004

Input: (1+xy)/(1-xy-xyy-xxyyy)

Output: (xy + 1)/(-xy + (-xyy + (-xxyyy + 1)))

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

************** PARI *****************
Host 3(NXDOMAIN) (80.232.193.34)
Time: Thu Jan 29 16:05:20 2004

Input: (1+x*y)/(1-x*y-x*y*y-x*x*y*y*y)

Output: (y*x + 1)/(-y^3*x^2 + (-y^2 - y)*x + 1)

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

************** PARI *****************
Host 3(NXDOMAIN) (80.232.193.34)
Time: Thu Jan 29 16:06:03 2004

Input: Integer x
Integer y
(1+x*y)/(1-x*y-x*y*y-x*x*y*y*y)

Output: Integerx
Integery
(y*x + 1)/(-y^3*x^2 + (-y^2 - y)*x + 1)

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

************** PARI *****************
Host 3(NXDOMAIN) (80.232.193.34)
Time: Thu Jan 29 16:06:31 2004

Input: Int x
Int y
(1+x*y)/(1-x*y-x*y*y-x*x*y*y*y)

Output: Intx
Inty
(y*x + 1)/(-y^3*x^2 + (-y^2 - y)*x + 1)

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

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Thu Jan 29 22:14:13 2004

Input: contfrac(e)

Output: [e]

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.030s

************** PARI *****************
Host student-04kfl.williams.edu. (137.165.217.233)
Time: Thu Jan 29 22:14:19 2004

Input: contfrac(e)

Output: [e]

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host 24-117-220-66.cpe.cableone.net. (24.117.220.66)
Time: Fri Jan 30 00:07:48 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	0m0.057s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host pxy-2a.kyoto-u.ac.jp. (130.54.130.227)
Time: Fri Jan 30 01:56:33 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	0m0.020s
sys	0m0.040s

************** PARI *****************
Host dsl-200-67-231-235.prod-infinitum.com.mx. (200.67.231.235)
Time: Fri Jan 30 11:43:37 2004

Input: 54365346546395436  * 957495749754354354

Output: 52054588252096197116993824152328344

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host a2x1.math.u-bordeaux.fr. (147.210.17.31)
Time: Fri Jan 30 12:35:41 2004

Input: Li(2)

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

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

************** PARI *****************
Host a2x1.math.u-bordeaux.fr. (147.210.17.31)
Time: Fri Jan 30 12:35:55 2004

Input: ? Li

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

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

************** PARI *****************
Host a2x1.math.u-bordeaux.fr. (147.210.17.31)
Time: Fri Jan 30 12:36:08 2004

Input: ? Li

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

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

************** PARI *****************
Host a2x1.math.u-bordeaux.fr. (147.210.17.31)
Time: Fri Jan 30 12:36:22 2004

Input: li(2)

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

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Time: Sat Jan 31 06:03:38 2004

Input: factor((Mod(1,2)*(x^1279-1)))

Output:
[Mod(1, 2)*x + Mod(1, 2) 1]

[Mod(1, 2)*x^639 + Mod(1, 2)*x^636 + Mod(1, 2)*x^630 + Mod(1, 2)*x^628 + Mod(1, 2)*x^626 + Mod(1, 2)*x^625 + Mod(1, 2)*x^624 + Mod(1, 2)*x^623 + Mod(1, 2)*x^620 + Mod(1, 2)*x^619 + Mod(1, 2)*x^618 + Mod(1, 2)*x^608 + Mod(1, 2)*x^607 + Mod(1, 2)*x^605 + Mod(1, 2)*x^604 + Mod(1, 2)*x^603 + Mod(1, 2)*x^600 + Mod(1, 2)*x^599 + Mod(1, 2)*x^598 + Mod(1, 2)*x^595 + Mod(1, 2)*x^594 + Mod(1, 2)*x^592 + Mod(1, 2)*x^590 + Mod(1, 2)*x^588 + Mod(1, 2)*x^587 + Mod(1, 2)*x^586 + Mod(1, 2)*x^584 + Mod(1, 2)*x^583 + Mod(1, 2)*x^582 + Mod(1, 2)*x^579 + Mod(1, 2)*x^578 + Mod(1, 2)*x^570 + Mod(1, 2)*x^567 + Mod(1, 2)*x^565 + Mod(1, 2)*x^563 + Mod(1, 2)*x^557 + Mod(1, 2)*x^556 + Mod(1, 2)*x^553 + Mod(1, 2)*x^552 + Mod(1, 2)*x^551 + Mod(1, 2)*x^548 + Mod(1, 2)*x^547 + Mod(1, 2)*x^544 + Mod(1, 2)*x^543 + Mod(1, 2)*x^540 + Mod(1, 2)*x^537 + Mod(1, 2)*x^534 + Mod(1, 2)*x^533 + Mod(1, 2)*x^531 + Mod(1, 2)*x^529 + Mod(1, 2)*x^528 + Mod(1, 2)*x^527 + Mod(1, 2)*x^524 + Mod(1, 2)*x^523 + Mod(1, 2)*x^522 + Mod(1, 2)*x^521 + Mod(1, 2)*x^519 + Mod(1, 2)*x^518 + Mod(1, 2)*x^517 + Mod(1, 2)*x^516 + Mod(1, 2)*x^510 + Mod(1, 2)*x^507 + Mod(1, 2)*x^501 + Mod(1, 2)*x^499 + Mod(1, 2)*x^498 + Mod(1, 2)*x^497 + Mod(1, 2)*x^494 + Mod(1, 2)*x^491 + Mod(1, 2)*x^486 + Mod(1, 2)*x^483 + Mod(1, 2)*x^480 + Mod(1, 2)*x^479 + Mod(1, 2)*x^478 + Mod(1, 2)*x^477 + Mod(1, 2)*x^476 + Mod(1, 2)*x^474 + Mod(1, 2)*x^472 + Mod(1, 2)*x^471 + Mod(1, 2)*x^470 + Mod(1, 2)*x^465 + Mod(1, 2)*x^464 + Mod(1, 2)*x^463 + Mod(1, 2)*x^460 + Mod(1, 2)*x^456 + Mod(1, 2)*x^455 + Mod(1, 2)*x^452 + Mod(1, 2)*x^451 + Mod(1, 2)*x^450 + Mod(1, 2)*x^449 + Mod(1, 2)*x^447 + Mod(1, 2)*x^446 + Mod(1, 2)*x^445 + Mod(1, 2)*x^443 + Mod(1, 2)*x^440 + Mod(1, 2)*x^438 + Mod(1, 2)*x^436 + Mod(1, 2)*x^434 + Mod(1, 2)*x^433 + Mod(1, 2)*x^431 + Mod(1, 2)*x^430 + Mod(1, 2)*x^428 + Mod(1, 2)*x^427 + Mod(1, 2)*x^426 + Mod(1, 2)*x^423 + Mod(1, 2)*x^422 + Mod(1, 2)*x^420 + Mod(1, 2)*x^417 + Mod(1, 2)*x^415 + Mod(1, 2)*x^404 + Mod(1, 2)*x^403 + Mod(1, 2)*x^402 + Mod(1, 2)*x^401 + Mod(1, 2)*x^400 + Mod(1, 2)*x^399 + Mod(1, 2)*x^398 + Mod(1, 2)*x^396 + Mod(1, 2)*x^394 + Mod(1, 2)*x^393 + Mod(1, 2)*x^386 + Mod(1, 2)*x^383 + Mod(1, 2)*x^382 + Mod(1, 2)*x^380 + Mod(1, 2)*x^379 + Mod(1, 2)*x^378 + Mod(1, 2)*x^377 + Mod(1, 2)*x^376 + Mod(1, 2)*x^374 + Mod(1, 2)*x^373 + Mod(1, 2)*x^372 + Mod(1, 2)*x^371 + Mod(1, 2)*x^370 + Mod(1, 2)*x^369 + Mod(1, 2)*x^368 + Mod(1, 2)*x^367 + Mod(1, 2)*x^360 + Mod(1, 2)*x^357 + Mod(1, 2)*x^354 + Mod(1, 2)*x^353 + Mod(1, 2)*x^350 + Mod(1, 2)*x^347 + Mod(1, 2)*x^345 + Mod(1, 2)*x^344 + Mod(1, 2)*x^341 + Mod(1, 2)*x^340 + Mod(1, 2)*x^338 + Mod(1, 2)*x^336 + Mod(1, 2)*x^335 + Mod(1, 2)*x^333 + Mod(1, 2)*x^329 + Mod(1, 2)*x^327 + Mod(1, 2)*x^326 + Mod(1, 2)*x^324 + Mod(1, 2)*x^323 + Mod(1, 2)*x^319 + Mod(1, 2)*x^317 + Mod(1, 2)*x^315 + Mod(1, 2)*x^313 + Mod(1, 2)*x^310 + Mod(1, 2)*x^309 + Mod(1, 2)*x^308 + Mod(1, 2)*x^304 + Mod(1, 2)*x^303 + Mod(1, 2)*x^302 + Mod(1, 2)*x^301 + Mod(1, 2)*x^300 + Mod(1, 2)*x^299 + Mod(1, 2)*x^298 + Mod(1, 2)*x^297 + Mod(1, 2)*x^296 + Mod(1, 2)*x^294 + Mod(1, 2)*x^293 + Mod(1, 2)*x^291 + Mod(1, 2)*x^290 + Mod(1, 2)*x^287 + Mod(1, 2)*x^282 + Mod(1, 2)*x^281 + Mod(1, 2)*x^280 + Mod(1, 2)*x^278 + Mod(1, 2)*x^277 + Mod(1, 2)*x^276 + Mod(1, 2)*x^273 + Mod(1, 2)*x^268 + Mod(1, 2)*x^266 + Mod(1, 2)*x^263 + Mod(1, 2)*x^262 + Mod(1, 2)*x^260 + Mod(1, 2)*x^259 + Mod(1, 2)*x^254 + Mod(1, 2)*x^253 + Mod(1, 2)*x^252 + Mod(1, 2)*x^248 + Mod(1, 2)*x^247 + Mod(1, 2)*x^246 + Mod(1, 2)*x^245 + Mod(1, 2)*x^243 + Mod(1, 2)*x^242 + Mod(1, 2)*x^240 + Mod(1, 2)*x^238 + Mod(1, 2)*x^236 + Mod(1, 2)*x^230 + Mod(1, 2)*x^226 + Mod(1, 2)*x^224 + Mod(1, 2)*x^223 + Mod(1, 2)*x^219 + Mod(1, 2)*x^218 + Mod(1, 2)*x^217 + Mod(1, 2)*x^215 + Mod(1, 2)*x^209 + Mod(1, 2)*x^208 + Mod(1, 2)*x^205 + Mod(1, 2)*x^203 + Mod(1, 2)*x^200 + Mod(1, 2)*x^199 + Mod(1, 2)*x^197 + Mod(1, 2)*x^196 + Mod(1, 2)*x^194 + Mod(1, 2)*x^192 + Mod(1, 2)*x^190 + Mod(1, 2)*x^188 + Mod(1, 2)*x^187 + Mod(1, 2)*x^186 + Mod(1, 2)*x^180 + Mod(1, 2)*x^178 + Mod(1, 2)*x^177 + Mod(1, 2)*x^173 + Mod(1, 2)*x^169 + Mod(1, 2)*x^168 + Mod(1, 2)*x^167 + Mod(1, 2)*x^164 + Mod(1, 2)*x^163 + Mod(1, 2)*x^162 + Mod(1, 2)*x^160 + Mod(1, 2)*x^158 + Mod(1, 2)*x^151 + Mod(1, 2)*x^148 + Mod(1, 2)*x^146 + Mod(1, 2)*x^145 + Mod(1, 2)*x^143 + Mod(1, 2)*x^142 + Mod(1, 2)*x^140 + Mod(1, 2)*x^139 + Mod(1, 2)*x^137 + Mod(1, 2)*x^136 + Mod(1, 2)*x^135 + Mod(1, 2)*x^133 + Mod(1, 2)*x^131 + Mod(1, 2)*x^127 + Mod(1, 2)*x^125 + Mod(1, 2)*x^124 + Mod(1, 2)*x^123 + Mod(1, 2)*x^122 + Mod(1, 2)*x^121 + Mod(1, 2)*x^120 + Mod(1, 2)*x^119 + Mod(1, 2)*x^117 + Mod(1, 2)*x^116 + Mod(1, 2)*x^115 + Mod(1, 2)*x^114 + Mod(1, 2)*x^112 + Mod(1, 2)*x^111 + Mod(1, 2)*x^100 + Mod(1, 2)*x^98 + Mod(1, 2)*x^97 + Mod(1, 2)*x^95 + Mod(1, 2)*x^93 + Mod(1, 2)*x^92 + Mod(1, 2)*x^88 + Mod(1, 2)*x^80 + Mod(1, 2)*x^78 + Mod(1, 2)*x^70 + Mod(1, 2)*x^69 + Mod(1, 2)*x^68 + Mod(1, 2)*x^67 + Mod(1, 2)*x^66 + Mod(1, 2)*x^64 + Mod(1, 2)*x^63 + Mod(1, 2)*x^62 + Mod(1, 2)*x^61 + Mod(1, 2)*x^60 + Mod(1, 2)*x^59 + Mod(1, 2)*x^56 + Mod(1, 2)*x^54 + Mod(1, 2)*x^50 + Mod(1, 2)*x^49 + Mod(1, 2)*x^47 + Mod(1, 2)*x^43 + Mod(1, 2)*x^41 + Mod(1, 2)*x^38 + Mod(1, 2)*x^34 + Mod(1, 2)*x^33 + Mod(1, 2)*x^32 + Mod(1, 2)*x^29 + Mod(1, 2)*x^26 + Mod(1, 2)*x^24 + Mod(1, 2)*x^22 + Mod(1, 2)*x^21 + Mod(1, 2)*x^16 + Mod(1, 2)*x^14 + Mod(1, 2)*x^12 + Mod(1, 2)*x^10 + Mod(1, 2)*x^9 + Mod(1, 2)*x^8 + Mod(1, 2)*x^7 + Mod(1, 2)*x^6 + Mod(1, 2)*x^2 + Mod(1, 2)*x + Mod(1, 2) 1]

[Mod(1, 2)*x^639 + Mod(1, 2)*x^638 + Mod(1, 2)*x^637 + Mod(1, 2)*x^633 + Mod(1, 2)*x^632 + Mod(1, 2)*x^631 + Mod(1, 2)*x^630 + Mod(1, 2)*x^629 + Mod(1, 2)*x^627 + Mod(1, 2)*x^625 + Mod(1, 2)*x^623 + Mod(1, 2)*x^618 + Mod(1, 2)*x^617 + Mod(1, 2)*x^615 + Mod(1, 2)*x^613 + Mod(1, 2)*x^610 + Mod(1, 2)*x^607 + Mod(1, 2)*x^606 + Mod(1, 2)*x^605 + Mod(1, 2)*x^601 + Mod(1, 2)*x^598 + Mod(1, 2)*x^596 + Mod(1, 2)*x^592 + Mod(1, 2)*x^590 + Mod(1, 2)*x^589 + Mod(1, 2)*x^585 + Mod(1, 2)*x^583 + Mod(1, 2)*x^580 + Mod(1, 2)*x^579 + Mod(1, 2)*x^578 + Mod(1, 2)*x^577 + Mod(1, 2)*x^576 + Mod(1, 2)*x^575 + Mod(1, 2)*x^573 + Mod(1, 2)*x^572 + Mod(1, 2)*x^571 + Mod(1, 2)*x^570 + Mod(1, 2)*x^569 + Mod(1, 2)*x^561 + Mod(1, 2)*x^559 + Mod(1, 2)*x^551 + Mod(1, 2)*x^547 + Mod(1, 2)*x^546 + Mod(1, 2)*x^544 + Mod(1, 2)*x^542 + Mod(1, 2)*x^541 + Mod(1, 2)*x^539 + Mod(1, 2)*x^528 + Mod(1, 2)*x^527 + Mod(1, 2)*x^525 + Mod(1, 2)*x^524 + Mod(1, 2)*x^523 + Mod(1, 2)*x^522 + Mod(1, 2)*x^520 + Mod(1, 2)*x^519 + Mod(1, 2)*x^518 + Mod(1, 2)*x^517 + Mod(1, 2)*x^516 + Mod(1, 2)*x^515 + Mod(1, 2)*x^514 + Mod(1, 2)*x^512 + Mod(1, 2)*x^508 + Mod(1, 2)*x^506 + Mod(1, 2)*x^504 + Mod(1, 2)*x^503 + Mod(1, 2)*x^502 + Mod(1, 2)*x^500 + Mod(1, 2)*x^499 + Mod(1, 2)*x^497 + Mod(1, 2)*x^496 + Mod(1, 2)*x^494 + Mod(1, 2)*x^493 + Mod(1, 2)*x^491 + Mod(1, 2)*x^488 + Mod(1, 2)*x^481 + Mod(1, 2)*x^479 + Mod(1, 2)*x^477 + Mod(1, 2)*x^476 + Mod(1, 2)*x^475 + Mod(1, 2)*x^472 + Mod(1, 2)*x^471 + Mod(1, 2)*x^470 + Mod(1, 2)*x^466 + Mod(1, 2)*x^462 + Mod(1, 2)*x^461 + Mod(1, 2)*x^459 + Mod(1, 2)*x^453 + Mod(1, 2)*x^452 + Mod(1, 2)*x^451 + Mod(1, 2)*x^449 + Mod(1, 2)*x^447 + Mod(1, 2)*x^445 + Mod(1, 2)*x^443 + Mod(1, 2)*x^442 + Mod(1, 2)*x^440 + Mod(1, 2)*x^439 + Mod(1, 2)*x^436 + Mod(1, 2)*x^434 + Mod(1, 2)*x^431 + Mod(1, 2)*x^430 + Mod(1, 2)*x^424 + Mod(1, 2)*x^422 + Mod(1, 2)*x^421 + Mod(1, 2)*x^420 + Mod(1, 2)*x^416 + Mod(1, 2)*x^415 + Mod(1, 2)*x^413 + Mod(1, 2)*x^409 + Mod(1, 2)*x^403 + Mod(1, 2)*x^401 + Mod(1, 2)*x^399 + Mod(1, 2)*x^397 + Mod(1, 2)*x^396 + Mod(1, 2)*x^394 + Mod(1, 2)*x^393 + Mod(1, 2)*x^392 + Mod(1, 2)*x^391 + Mod(1, 2)*x^387 + Mod(1, 2)*x^386 + Mod(1, 2)*x^385 + Mod(1, 2)*x^380 + Mod(1, 2)*x^379 + Mod(1, 2)*x^377 + Mod(1, 2)*x^376 + Mod(1, 2)*x^373 + Mod(1, 2)*x^371 + Mod(1, 2)*x^366 + Mod(1, 2)*x^363 + Mod(1, 2)*x^362 + Mod(1, 2)*x^361 + Mod(1, 2)*x^359 + Mod(1, 2)*x^358 + Mod(1, 2)*x^357 + Mod(1, 2)*x^352 + Mod(1, 2)*x^349 + Mod(1, 2)*x^348 + Mod(1, 2)*x^346 + Mod(1, 2)*x^345 + Mod(1, 2)*x^343 + Mod(1, 2)*x^342 + Mod(1, 2)*x^341 + Mod(1, 2)*x^340 + Mod(1, 2)*x^339 + Mod(1, 2)*x^338 + Mod(1, 2)*x^337 + Mod(1, 2)*x^336 + Mod(1, 2)*x^335 + Mod(1, 2)*x^331 + Mod(1, 2)*x^330 + Mod(1, 2)*x^329 + Mod(1, 2)*x^326 + Mod(1, 2)*x^324 + Mod(1, 2)*x^322 + Mod(1, 2)*x^320 + Mod(1, 2)*x^316 + Mod(1, 2)*x^315 + Mod(1, 2)*x^313 + Mod(1, 2)*x^312 + Mod(1, 2)*x^310 + Mod(1, 2)*x^306 + Mod(1, 2)*x^304 + Mod(1, 2)*x^303 + Mod(1, 2)*x^301 + Mod(1, 2)*x^299 + Mod(1, 2)*x^298 + Mod(1, 2)*x^295 + Mod(1, 2)*x^294 + Mod(1, 2)*x^292 + Mod(1, 2)*x^289 + Mod(1, 2)*x^286 + Mod(1, 2)*x^285 + Mod(1, 2)*x^282 + Mod(1, 2)*x^279 + Mod(1, 2)*x^272 + Mod(1, 2)*x^271 + Mod(1, 2)*x^270 + Mod(1, 2)*x^269 + Mod(1, 2)*x^268 + Mod(1, 2)*x^267 + Mod(1, 2)*x^266 + Mod(1, 2)*x^265 + Mod(1, 2)*x^263 + Mod(1, 2)*x^262 + Mod(1, 2)*x^261 + Mod(1, 2)*x^260 + Mod(1, 2)*x^259 + Mod(1, 2)*x^257 + Mod(1, 2)*x^256 + Mod(1, 2)*x^253 + Mod(1, 2)*x^246 + Mod(1, 2)*x^245 + Mod(1, 2)*x^243 + Mod(1, 2)*x^241 + Mod(1, 2)*x^240 + Mod(1, 2)*x^239 + Mod(1, 2)*x^238 + Mod(1, 2)*x^237 + Mod(1, 2)*x^236 + Mod(1, 2)*x^235 + Mod(1, 2)*x^224 + Mod(1, 2)*x^222 + Mod(1, 2)*x^219 + Mod(1, 2)*x^217 + Mod(1, 2)*x^216 + Mod(1, 2)*x^213 + Mod(1, 2)*x^212 + Mod(1, 2)*x^211 + Mod(1, 2)*x^209 + Mod(1, 2)*x^208 + Mod(1, 2)*x^206 + Mod(1, 2)*x^205 + Mod(1, 2)*x^203 + Mod(1, 2)*x^201 + Mod(1, 2)*x^199 + Mod(1, 2)*x^196 + Mod(1, 2)*x^194 + Mod(1, 2)*x^193 + Mod(1, 2)*x^192 + Mod(1, 2)*x^190 + Mod(1, 2)*x^189 + Mod(1, 2)*x^188 + Mod(1, 2)*x^187 + Mod(1, 2)*x^184 + Mod(1, 2)*x^183 + Mod(1, 2)*x^179 + Mod(1, 2)*x^176 + Mod(1, 2)*x^175 + Mod(1, 2)*x^174 + Mod(1, 2)*x^169 + Mod(1, 2)*x^168 + Mod(1, 2)*x^167 + Mod(1, 2)*x^165 + Mod(1, 2)*x^163 + Mod(1, 2)*x^162 + Mod(1, 2)*x^161 + Mod(1, 2)*x^160 + Mod(1, 2)*x^159 + Mod(1, 2)*x^156 + Mod(1, 2)*x^153 + Mod(1, 2)*x^148 + Mod(1, 2)*x^145 + Mod(1, 2)*x^142 + Mod(1, 2)*x^141 + Mod(1, 2)*x^140 + Mod(1, 2)*x^138 + Mod(1, 2)*x^132 + Mod(1, 2)*x^129 + Mod(1, 2)*x^123 + Mod(1, 2)*x^122 + Mod(1, 2)*x^121 +
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m1.319s
user	0m1.230s
sys	0m0.080s

************** PARI *****************
Host p508B2E97.dip.t-dialin.net. (80.139.46.151)
Time: Sat Jan 31 08:29:42 2004

Input: 2^8 + 2^8

Output: 512

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

************** PARI *****************
Time: Sat Jan 31 11:39:33 2004

Input: djhsteu

Output: djhsteu

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (211.98.28.172)
Time: Sun Feb  1 01:10:43 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	0m0.020s
sys	0m0.030s

************** PARI *****************
Host mail.provigent.com. (62.219.165.202)
Time: Mon Feb  2 02:21:12 2004

Input: sin(x)

Output: x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.090s
user	0m0.050s
sys	0m0.010s

************** PARI *****************
Host p3E9B9DBB.dip0.t-ipconnect.de. (62.155.157.187)
Time: Mon Feb  2 03:11:39 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	0m0.055s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host s-suthah.uncg.edu. (152.13.199.96)
Time: Mon Feb  2 16:24:50 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	0m0.071s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host genoa.ucc.usyd.edu.au. (129.78.228.114)
Time: Mon Feb  2 23:20:06 2004

Input: cos^2 + sin^2 =

Output:
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: cos^2+sin^2=
^---------

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

************** PARI *****************
Host genoa.ucc.usyd.edu.au. (129.78.228.114)
Time: Mon Feb  2 23:20:18 2004

Input: cos^2 + sin^2

Output:
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: cos^2+sin^2
^--------

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

************** PARI *****************
Host c-24-17-30-82.client.comcast.net. (24.17.30.82)
Time: Tue Feb  3 06:23:12 2004

Input: 2^((2^64 - 258)/2) mod (2^64 - 257)

Output:
Errors (if any) and Timing Info:  ***   unused characters: 2^((2^64-258)/2)mod(2^64-257)
^-------------

Timing:
real	0m0.224s
user	0m0.040s
sys	0m0.040s

************** PARI *****************
Host c-24-17-30-82.client.comcast.net. (24.17.30.82)
Time: Tue Feb  3 06:23:12 2004

Input: 2^((2^64 - 258)/2) mod (2^64 - 257)

Output:
Errors (if any) and Timing Info:  ***   unused characters: 2^((2^64-258)/2)mod(2^64-257)
^-------------

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host zmd1.math3.us.edu.pl. (155.158.26.81)
Time: Tue Feb  3 07:17:04 2004

Input: 1+a

Output: a + 1

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

************** PARI *****************
Host zmd1.math3.us.edu.pl. (155.158.26.81)
Time: Tue Feb  3 07:17:19 2004

Input: 1+2

Output: 3

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

************** PARI *****************
Host zmd1.math3.us.edu.pl. (155.158.26.81)
Time: Tue Feb  3 07:19:20 2004

Input: Solve(x^2-3*x+2=0)

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

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

************** PARI *****************
Host CPE0020188e89e7-CM400026065536.cpe.net.cable.rogers.com. (24.100.224.195)
Time: Tue Feb  3 20:05:30 2004

Input: 2x + 3x

Output:
Errors (if any) and Timing Info:  ***   unused characters: 2x+3x
^----

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

************** PARI *****************
Host i-195-137-81-190.freedom2surf.net. (195.137.81.190)
Time: Tue Feb  3 20:26:51 2004

Input: 3+4

Output: 7

Errors (if any) and Timing Info:
Timing:
real	0m0.069s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host i-195-137-81-190.freedom2surf.net. (195.137.81.190)
Time: Tue Feb  3 20:27:04 2004

Input: 3+4

Output: 7

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

************** PARI *****************
Host 3(NXDOMAIN) (61.0.200.221)
Time: Wed Feb  4 03:22:45 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	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 2(SERVFAIL) (63.197.170.253)
Time: Wed Feb  4 11:47:00 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	0m0.162s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 2(SERVFAIL) (63.197.170.253)
Time: Wed Feb  4 11:47:29 2004

Input: ihfhcalstop

Output: ihfhcalstop

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host 2(SERVFAIL) (63.197.170.253)
Time: Wed Feb  4 11:48:17 2004

Input: bkdjgluyo,tioheitfg
ghfgjhkgug55327323.8731

Output:
Errors (if any) and Timing Info:  ***   unused characters: bkdjgluyo,tioheitfg
^----------

***   unknown member function: ghfgjhkgug55327323.8731
^----

Timing:
real	0m0.073s
user	0m0.040s
sys	0m0.030s

************** PARI *****************
Host 2(SERVFAIL) (63.197.170.253)
Time: Wed Feb  4 11:54:56 2004

Input: bkdjgluyo,tioheitfg
ghfgjhkgug55327323.8731

Output:
Errors (if any) and Timing Info:  ***   unused characters: bkdjgluyo,tioheitfg
^----------

***   unknown member function: ghfgjhkgug55327323.8731
^----

Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host 2(SERVFAIL) (63.197.170.253)
Time: Wed Feb  4 11:54:57 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	0m0.053s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107)
Time: Wed Feb  4 15:01:44 2004

Input: getcycle(x^3-6, 10, 20)

Output:
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: getcycle(x^3-6,10,20)
^-----------

Timing:
real	0m0.071s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host wwwcache.lanl.gov. (128.165.156.80)
Time: Wed Feb  4 17:07:36 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	0m0.052s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host wwwcache.lanl.gov. (128.165.156.80)
Time: Wed Feb  4 17:07:49 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	0m0.056s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host wwwcache4.ic.ac.uk. (155.198.17.122)
Time: Thu Feb  5 07:30:31 2004

Input: factor (12386)

Output:
[2 1]

[11 1]

[563 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.275s
user	0m0.030s
sys	0m0.030s

************** PARI *****************
Host wwwcache4.ic.ac.uk. (155.198.17.122)
Time: Thu Feb  5 07:30:45 2004

Input: factor (123867777777777777)

Output:
[3 1]

[5290933 1]

[7803776623 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.020s
sys	0m0.050s

************** PARI *****************
Host wwwcache4.ic.ac.uk. (155.198.17.122)
Time: Thu Feb  5 07:31:16 2004

Input: factor (123867777777777777777777777777777777777777777777777777777777777777777777777777777777777777)

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.180s
user	0m20.890s
sys	0m0.110s

************** PARI *****************
Host wwwcache4.ic.ac.uk. (155.198.17.122)
Time: Thu Feb  5 07:31:32 2004

Input: factor (123867777777777777777777777777777777777777777777777777777777777777777777777777777777777)

Output:
[3 2]

[11 1]

[31 1]

[379 1]

[4093 1]

[1149302443 1]

[22638423152541178048446939513078377259934518895281941125832891983873 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.564s
user	0m0.510s
sys	0m0.050s

************** PARI *****************
Host roam27-53.fas.harvard.edu. (140.247.27.53)
Time: Thu Feb  5 10:12:37 2004

Input: factor(2004)

Output:
[2 2]

[3 1]

[167 1]

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

************** PARI *****************
Host reached (12.146.247.3)
Time: Thu Feb  5 10:59:54 2004

Input: 52+53
1982

Output: 105
1982

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

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:16:23 2004

Input: (x^2+1)*(x+3)

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

Errors (if any) and Timing Info:
Timing:
real	0m0.104s
user	0m0.040s
sys	0m0.040s

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:17:02 2004

Input: x*(x+1)*(x+5)*(x+10)

Output: x^4 + 16*x^3 + 65*x^2 + 50*x

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.030s

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:24:21 2004

Input: (x^2+8x+12)*(4x^3+48x^2+130x+50)-(x^4+16x^3+65x^2+50x)*(2x+8)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x^2+8x+12)*(4x^3+48x^2+13
^--------------------

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

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:24:49 2004

Input: (x^2+8x+12)*(4x^3+48x^2+130x+50)-(x^4+16x^3+65x^2+50x)*(2x+8)

Output:
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (x^2+8x+12)*(4x^3+48x^2+13
^--------------------

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

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:25:40 2004

Input: (x^2+8*x+12)*(4*x^3+48*x^2+130*x+50)-(x^4+16*x^3+65*x^2+50*x)*(2*x+8)

Output: 2*x^5 + 40*x^4 + 304*x^3 + 1046*x^2 + 1560*x + 600

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

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:31:42 2004

Input: (x+2)*(x+6)

Output: x^2 + 8*x + 12

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

************** PARI *****************
Time: Thu Feb  5 20:31:46 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	0m0.052s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Time: Thu Feb  5 20:32:19 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
a*(b+c)

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
(b + c)*a

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

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:32:45 2004

Input: (x^2+8*x+12)*(4*x^3+48*x^2+130*x+50)

Output: 4*x^5 + 80*x^4 + 562*x^3 + 1666*x^2 + 1960*x + 600

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

************** PARI *****************
Host dhcp9536062.columbus.rr.com. (24.95.36.62)
Time: Thu Feb  5 20:33:53 2004

Input: ((x^2+8*x+12)*(4*x^3+48*x^2+130*x+50))-((x^4+16*x^3+65*x^2+50*x)*(2*x+8))

Output: 2*x^5 + 40*x^4 + 304*x^3 + 1046*x^2 + 1560*x + 600

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

************** PARI *****************
Host rrcs-central-204-210-164-209.biz.rr.com. (204.210.164.209)
Time: Fri Feb  6 00:03:22 2004

Input: ((x^2+4*x+4)*(5*x^4+64*x^3+255*x^2+500*x))-((x^5+16*x^4+85*x^3+250*x^2)*(2*x+4))

Output: 3*x^6 + 48*x^5 + 297*x^4 + 936*x^3 + 2020*x^2 + 2000*x

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

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:01:46 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	0m0.057s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:03:53 2004

Input: 2+2

Output: 4

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

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:04:06 2004

Input: 7!

Output: 5040

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

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:12:32 2004

Input: 15!

Output: 1307674368000

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

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:12:39 2004

Input: 25!

Output: 15511210043330985984000000

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

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:12:47 2004

Input: 50!

Output: 30414093201713378043612608166064768844377641568960512000000000000

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

************** PARI *****************
Host ns.lhsystemsas.de. (213.191.83.2)
Time: Fri Feb  6 03:13:27 2004

Input: 1./7

Output: 0.1428571428571428571428571428

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

************** PARI *****************
Host 3(NXDOMAIN) (219.237.59.57)
Time: Fri Feb  6 11:05:39 2004

Input: (x+y)^5

Output: x^5 + 5*y*x^4 + 10*y^2*x^3 + 10*y^3*x^2 + 5*y^4*x + y^5

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (219.237.59.57)
Time: Fri Feb  6 11:06:12 2004

Input: (x+y)^100

Output: x^100 + 100*y*x^99 + 4950*y^2*x^98 + 161700*y^3*x^97 + 3921225*y^4*x^96 + 75287520*y^5*x^95 + 1192052400*y^6*x^94 + 16007560800*y^7*x^93 + 186087894300*y^8*x^92 + 1902231808400*y^9*x^91 + 17310309456440*y^10*x^90 + 141629804643600*y^11*x^89 + 1050421051106700*y^12*x^88 + 7110542499799200*y^13*x^87 + 44186942677323600*y^14*x^86 + 253338471349988640*y^15*x^85 + 1345860629046814650*y^16*x^84 + 6650134872937201800*y^17*x^83 + 30664510802988208300*y^18*x^82 + 132341572939212267400*y^19*x^81 + 535983370403809682970*y^20*x^80 + 2041841411062132125600*y^21*x^79 + 7332066885177656269200*y^22*x^78 + 24865270306254660391200*y^23*x^77 + 79776075565900368755100*y^24*x^76 + 242519269720337121015504*y^25*x^75 + 699574816500972464467800*y^26*x^74 + 1917353200780443050763600*y^27*x^73 + 4998813702034726525205100*y^28*x^72 + 12410847811948286545336800*y^29*x^71 + 29372339821610944823963760*y^30*x^70 + 66324638306863423796047200*y^31*x^69 + 143012501349174257560226775*y^32*x^68 + 294692427022540894366527900*y^33*x^67 + 580717429720889409486981450*y^34*x^66 + 1095067153187962886461165020*y^35*x^65 + 1977204582144932989443770175*y^36*x^64 + 3420029547493938143902737600*y^37*x^63 + 5670048986634686922786117600*y^38*x^62 + 9013924030034630492634340800*y^39*x^61 + 13746234145802811501267369720*y^40*x^60 + 20116440213369968050635175200*y^41*x^59 + 28258808871162574166368460400*y^42*x^58 + 38116532895986727945334202400*y^43*x^57 + 49378235797073715747364762200*y^44*x^56 + 61448471214136179596720592960*y^45*x^55 + 73470998190814997343905056800*y^46*x^54 + 84413487283064039501507937600*y^47*x^53 + 93206558875049876949581681100*y^48*x^52 + 98913082887808032681188722800*y^49*x^51 + 100891344545564193334812497256*y^50*x^50 + 98913082887808032681188722800*y^51*x^49 + 93206558875049876949581681100*y^52*x^48 + 84413487283064039501507937600*y^53*x^47 + 73470998190814997343905056800*y^54*x^46 + 61448471214136179596720592960*y^55*x^45 + 49378235797073715747364762200*y^56*x^44 + 38116532895986727945334202400*y^57*x^43 + 28258808871162574166368460400*y^58*x^42 + 20116440213369968050635175200*y^59*x^41 + 13746234145802811501267369720*y^60*x^40 + 9013924030034630492634340800*y^61*x^39 + 5670048986634686922786117600*y^62*x^38 + 3420029547493938143902737600*y^63*x^37 + 1977204582144932989443770175*y^64*x^36 + 1095067153187962886461165020*y^65*x^35 + 580717429720889409486981450*y^66*x^34 + 294692427022540894366527900*y^67*x^33 + 143012501349174257560226775*y^68*x^32 + 66324638306863423796047200*y^69*x^31 + 29372339821610944823963760*y^70*x^30 + 12410847811948286545336800*y^71*x^29 + 4998813702034726525205100*y^72*x^28 + 1917353200780443050763600*y^73*x^27 + 699574816500972464467800*y^74*x^26 + 242519269720337121015504*y^75*x^25 + 79776075565900368755100*y^76*x^24 + 24865270306254660391200*y^77*x^23 + 7332066885177656269200*y^78*x^22 + 2041841411062132125600*y^79*x^21 + 535983370403809682970*y^80*x^20 + 132341572939212267400*y^81*x^19 + 30664510802988208300*y^82*x^18 + 6650134872937201800*y^83*x^17 + 1345860629046814650*y^84*x^16 + 253338471349988640*y^85*x^15 + 44186942677323600*y^86*x^14 + 7110542499799200*y^87*x^13 + 1050421051106700*y^88*x^12 + 141629804643600*y^89*x^11 + 17310309456440*y^90*x^10 + 1902231808400*y^91*x^9 + 186087894300*y^92*x^8 + 16007560800*y^93*x^7 + 1192052400*y^94*x^6 + 75287520*y^95*x^5 + 3921225*y^96*x^4 + 161700*y^97*x^3 + 4950*y^98*x^2 + 100*y^99*x + y^100

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.050s
sys	0m0.020s

************** PARI *****************
Host 3(NXDOMAIN) (219.237.59.57)
Time: Fri Feb  6 11:06:44 2004

Input: (x+y)^100000

Output:
Errors (if any) and Timing Info:
Timing:
real	0m21.047s
user	0m20.900s
sys	0m0.100s

************** PARI *****************
Host dhcp65-157.ureg.ohio-state.edu. (128.146.65.157)
Time: Fri Feb  6 12:52:09 2004

Input: (x+2)*(3*x^2+20*x-1)-(x^3+10*x^2-x-10)

Output: 2*x^3 + 16*x^2 + 40*x + 8

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:47:29 2004

Input: deriv(1/(x^(r/y)), x)

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:53:54 2004

Input: deriv(log(x), x)

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:54:01 2004

Input: (log(x)

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

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:54:06 2004

Input: log(x)

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:54:12 2004

Input: log(-2)

Output: 0.6931471805599453094172321214 + 3.141592653589793238462643383*I

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:54:30 2004

Input: deriv(log(-x),x)

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:55:23 2004

Input: Ser(log(-x))

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:55:38 2004

Input: Ser(log(-x))

Output:
Errors (if any) and Timing Info:  ***   negative exponent in glog.

Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:56:10 2004

Input: taylor(1/x, x)

Output: x^-1 + O(x^16)

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:56:40 2004

Input: ps 40
taylor(1/x, x)

Output: ps40
x^-1 + O(x^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:56:45 2004

Input: ps 40
taylor(1/x, x)

Output: ps40
x^-1 + O(x^16)

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:56:58 2004

Input: default(seriesprecision, 40)
taylor(1/x, x)

Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed.

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:58:32 2004

Input: seriesprecision:=5
taylor(1/x, x)

Output: x^-1 + O(x^16)

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

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

************** PARI *****************
Host Buttercup.EGR.UH.EDU. (129.7.202.153)
Time: Fri Feb  6 13:58:40 2004

Input: seriesprecision=5
taylor(1/x, x)

Output: 5
x^-1 + O(x^16)

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.040s

************** PARI *****************
Host 3(NXDOMAIN) (61.136.9.23)
Time: Sat Feb  7 02:27:03 2004

Input: 1745264755423825474573924809951949066708882319246693921995410289

Output: 1745264755423825474573924809951949066708882319246693921995410289

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.050s
sys	0m0.030s

************** PARI *****************
Time: Sat Feb  7 14:02:06 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	0m0.060s
user	0m0.020s
sys	0m0.030s

************** PARI *****************
Time: Sat Feb  7 14:02:12 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	0m0.057s
user	0m0.040s
sys	0m0.010s

************** 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 *****************
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 *****************
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 *****************
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 *****************
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 *****************
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 *****************
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 *****************
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 *****************
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

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

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:
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 *****************
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

`