CoCalc Shared Fileswww / cgi-bin / old_logs / until2004-09-07_gp.txtOpen in CoCalc with one click!
Author: William A. Stein
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************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 23:19:29 2004

Input: factor(12345)

Output: 
[3 1]

[5 1]

[823 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host AC874011.ipt.aol.com. (172.135.64.17)
Time: Fri Apr 23 05:18:16 2004

Input: xxy

Output: xxy

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


************** PARI *****************
Host AC874011.ipt.aol.com. (172.135.64.17)
Time: Fri Apr 23 05:19:27 2004

Input: 3+3

Output: 6

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


************** PARI *****************
Host 194-185-220-249.f4.ngi.it. (194.185.220.249)
Time: Sat Apr 24 17:32:36 2004

Input: binary(259)


Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

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


************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:01:16 2004

Input: factor(x^2+4*x+4)

Output: 
[x + 2 2]


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


************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:02:12 2004

Input: 1+1

Output: 2

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


************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:02:42 2004

Input: a=b
a+b=2

Output: b
b + 2

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


************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:03:16 2004

Input: a=b
a+b=2
b=2

Output: b
b + 2
2

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


************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:03:31 2004

Input: a=b
a+b=2
b

Output: b
b + 2
2

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


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:44:43 2004

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

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

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


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:07 2004

Input: x^2-x+2=0;

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


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


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:18 2004

Input: solve x^2-x+2=0;

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


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:31 2004

Input: x*x-x+2=0;

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


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


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:42 2004

Input: x+2=0;

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


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


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:47 2004

Input: x+2=0

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


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:47:06 2004

Input: x+3/4>4

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

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:47:32 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:09:17 2004

Input: Mod(1409141413000201190413^25042003,2000000002864822776563)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.001s
user	0m20.930s
sys	0m0.070s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:10:11 2004

Input: Mod(1409141413000201190413^25042003,2000000002864822776563)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.005s
user	0m20.960s
sys	0m0.040s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:10:47 2004

Input: Mod(1409141413^25042003,2000000002864822776563)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.993s
user	0m20.960s
sys	0m0.040s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:11:28 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.107s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:14:33 2004

Input: Bezout(25042003,42367293298*47206225536)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Bezout(25042003,4236
                                                        ^--------------------


Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:16:45 2004

Input: Bezout(25042003,2000000002775249257728)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Bezout(25042003,2000
                                                        ^--------------------


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


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:16:59 2004

Input: Bezout(25042003,2000000002775249257728)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Bezout(25042003,2000
                                                        ^--------------------


Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:17:15 2004

Input: bezout(25042003,2000000002775249257728)

Output: [135519591013113317083, -1696841, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:18:46 2004

Input: Mod(135519591013113317083*25042003,423672932998*472062255376)

Output: Mod(81999740912525704733185, 200000000292800813297248)

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


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:20:41 2004

Input: bezout(25042003,200000000292800813297248)

Output: [3559898947800284606429, -445735, 7]

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:22:51 2004

Input: bezout(25042003,47206225536*42367293298)

Output: [135519591013113317083, -1696841, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:23:53 2004

Input: mod(25042003*135519591013113317083,47206225536*42367293298)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(25042003*1355195
                           ^--------------------
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	0m0.072s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:24:05 2004

Input: Mod(25042003*135519591013113317083,47206225536*42367293298)

Output: Mod(1, 2000000002775249257728)

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:24:57 2004

Input: mod(82^-13,91)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(82^-13,91)
                           ^--------------
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	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:25:17 2004

Input: mod(82^-13,91)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(82^-13,91)
                           ^--------------
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	0m0.057s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:25:45 2004

Input: mod(82^(-13),91)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(82^(-13),91)
                           ^----------------
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	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:25:53 2004

Input: Mod(605233533198702885420^135519591013113317083,47206225537*42367293299)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.209s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:27:34 2004

Input: mod(0,0000000000082,91)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(0,0000000000082,
                           ^--------------------
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	0m0.030s
sys	0m0.020s


************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:27:40 2004

Input: mod(0.0000000000082,91)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: mod(0.0000000000082,
                           ^--------------------
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	0m0.051s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 207.141-200-80.adsl.skynet.be. (80.200.141.207)
Time: Sun Apr 25 16:35:24 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	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (219.137.207.88)
Time: Mon Apr 26 04:09:14 2004

Input: ?help

Output: 
Errors (if any) and Timing Info:  ***   help: default.

Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:47:03 2004

Input: pi

Output: pi

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:47:32 2004

Input: PI


Output: PI

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


************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:47:49 2004

Input: 1+1



Output: 2

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


************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:48:10 2004

Input: 0+0




Output: 0

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


************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:48:23 2004

Input: DET





Output: DET

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pD9FF29E5.dip.t-dialin.net. (217.255.41.229)
Time: Mon Apr 26 09:51:03 2004

Input: 1+2

Output: 3

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


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 12:17:54 2004

Input: Mod[ (x^341-1)-(x-1)^341 , x^2 -1 ]

Output: 
Errors (if any) and Timing Info:  ***   expected character: '(' instead of: Mod[(x^341-1)-(x-1)^341
                                               ^--------------------


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


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 12:18:05 2004

Input: Mod( (x^341-1)-(x-1)^341 , x^2 -1 )

Output: Mod(-2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115775*x + 2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115775, x^2 - 1)

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


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:24:40 2004

Input: Mod( 3x^2 + 1 , x^2+3)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: Mod(3x^2+1,x^2+3)
                                                 ^------------


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


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:24:58 2004

Input: Mod( 3*x^2 + 1 , x^2+3)

Output: Mod(-8, x^2 + 3)

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:30:34 2004

Input: Mod( 31* x^ 330
   - 124 *x^ 319
   + 11  * x^ 310
 + 62* x^ 308
 - 93* x^ 297
 + 93* x^ 286
 - 55* x^ 279
 - 62* x^ 275
 + 124* x^ 264
 - 31* x^ 253
 + 165* x^ 248
 + 155* x^ 242
 + 310* x^ 220
 - 330* x^ 217
 -  62* x^ 209
 + 248* x^ 198
 - 124* x^ 187
 + 121* x^ 186
 + 186* x^ 176
 - 186* x^ 165
 - 121* x^ 155
 + 124* x^ 154
 - 248* x^ 143
 +  62* x^ 132
 + 330* x^ 124
 - 310* x^ 121
 - 155* x^ 99
 - 165* x^ 93
 +  31* x^ 88
 - 124* x^ 77
 +  62* x^ 66
 +  55* x^ 62
 -  93* x^ 55
 +  93* x^ 44
 -  62* x^ 33
 -  11* x^ 31
 + 124* x^ 22
 -  31* x^ 11,  x^2 -1 )

Output: -124*x^319
11*x^310
62*x^308
-93*x^297
93*x^286
-55*x^279
-62*x^275
124*x^264
-31*x^253
165*x^248
155*x^242
310*x^220
-330*x^217
-62*x^209
248*x^198
-124*x^187
121*x^186
186*x^176
-186*x^165
-121*x^155
124*x^154
-248*x^143
62*x^132
330*x^124
-310*x^121
-155*x^99
-165*x^93
31*x^88
-124*x^77
62*x^66
55*x^62
-93*x^55
93*x^44
-62*x^33
-11*x^31
124*x^22

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: Mod(31*x^330
                                                        ^

  ***   unused characters: -31*x^11,x^2-1)
                                   ^-------


Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:31:50 2004

Input: Mod( 
    31* x^ 330
 - 124* x^ 319
 +  11* x^ 310
 +  62* x^ 308
 -  93* x^ 297
 +  93* x^ 286
 -  55* x^ 279
 -  62* x^ 275
 + 124* x^ 264
 -  31* x^ 253
 + 165* x^ 248
 + 155* x^ 242
 + 310* x^ 220
 - 330* x^ 217
 -  62* x^ 209
 + 248* x^ 198
 - 124* x^ 187
 + 121* x^ 186
 + 186* x^ 176
 - 186* x^ 165
 - 121* x^ 155
 + 124* x^ 154
 - 248* x^ 143
 +  62* x^ 132
 + 330* x^ 124
 - 310* x^ 121
 - 155* x^ 99
 - 165* x^ 93
 +  31* x^ 88
 - 124* x^ 77
 +  62* x^ 66
 +  55* x^ 62
 -  93* x^ 55
 +  93* x^ 44
 -  62* x^ 33
 -  11* x^ 31
 + 124* x^ 22
 -  31* x^ 11,  x^2 -1 )

Output: 31*x^330
-124*x^319
11*x^310
62*x^308
-93*x^297
93*x^286
-55*x^279
-62*x^275
124*x^264
-31*x^253
165*x^248
155*x^242
310*x^220
-330*x^217
-62*x^209
248*x^198
-124*x^187
121*x^186
186*x^176
-186*x^165
-121*x^155
124*x^154
-248*x^143
62*x^132
330*x^124
-310*x^121
-155*x^99
-165*x^93
31*x^88
-124*x^77
62*x^66
55*x^62
-93*x^55
93*x^44
-62*x^33
-11*x^31
124*x^22

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

  ***   unused characters: -31*x^11,x^2-1)
                                   ^-------


Timing:
real	0m0.217s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:33:12 2004

Input: Mod(     31* x^ 330  - 124* x^ 319  +  11* x^ 310  +  62* x^ 308  -  93* x^ 297  +  93* x^ 286  -  55* x^ 279  -  62* x^ 275  + 124* x^ 264  -  31* x^ 253   + 165* x^ 248  + 155* x^ 242  + 310* x^ 220  - 330* x^ 217  -  62* x^ 209  + 248* x^ 198  - 124* x^ 187  + 121* x^ 186  + 186* x^ 176  - 186* x^ 165  - 121* x^ 155  + 124* x^ 154  - 248* x^ 143  +  62* x^ 132  + 330* x^ 124  - 310* x^ 121  - 155* x^ 99  - 165* x^ 93  +  31* x^ 88  - 124* x^ 77  +  62* x^ 66  +  55* x^ 62  -  93* x^ 55  +  93* x^ 44  -  62* x^ 33  -  11* x^ 31  + 124* x^ 22  -  31* x^ 11,  x^2 -1 )

Output: Mod(-2387*x + 2387, x^2 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.110s
user	0m0.040s
sys	0m0.000s


************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:48:52 2004

Input: Mod( (x^9-1)-(x-1)^9 ,  x^3 -1 )

Output: Mod(-81*x^2 + 81*x, x^3 - 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.260s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host roam243-16.fas.harvard.edu. (140.247.243.16)
Time: Mon Apr 26 16:24:33 2004

Input: 2+2

Output: 4

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


************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:02 2004

Input: factorint(458746323578952486566655)

Output: 
[3 1]

[5 1]

[23 1]

[12979 1]

[370679 1]

[276384883739 1]


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


************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:23 2004

Input: factorint(458746323578952486566655)

Output: 
[3 1]

[5 1]

[23 1]

[12979 1]

[370679 1]

[276384883739 1]


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


************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:34 2004

Input: factorint(45874632357895248656665512547895523641454)

Output: 
[2 1]

[3 1]

[17 1]

[83 1]

[5418690332848482005275869660748349119 1]


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


************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:45 2004

Input: factorint(458746323578952486566655125478955236414541145222551)

Output: 
[10663979 1]

[34337941031 1]

[1252792270385649977362480000690099 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.553s
user	0m0.520s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:52 2004

Input: factorint(458746323578952486566655125478955236414541145222551)

Output: 
[10663979 1]

[34337941031 1]

[1252792270385649977362480000690099 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.562s
user	0m0.540s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 07:04:41 2004

Input: plot(x=-3.14,3.14,sin(x),-1,1)


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

************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:10:55 2004

Input: binary(259)

Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:11:08 2004

Input: factorial(259)

Output: 1.473152254167757398122114606 E514

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


************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:11:17 2004

Input: cube(259)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: cube(259)
                                                        ^---------


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


************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:11:33 2004

Input: treat(259)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: treat(259)
                                                        ^----------


Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:33:26 2004

Input: Isprimitive(G);

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: Isprimitive(G);
                                                          ^-


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


************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:33:38 2004

Input: a=0


Output: 0

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


************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:33:48 2004

Input: a=0;



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


************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:34:02 2004

Input: val a=0;



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


************** PARI *****************
Host 213-140-17-103.fastres.net. (213.140.17.103)
Time: Tue Apr 27 12:17:50 2004

Input: factor(2000000002864822776563)

Output: 
[42367293299 1]

[47206225537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.105s
user	0m0.050s
sys	0m0.040s


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:54:59 2004

Input: binary(259)

Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:55:33 2004

Input: gcd(12,234)

Output: 6

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:56:04 2004

Input: bezout(12,234)

Output: [-19, 1, 6]

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:56:54 2004

Input: Mod(34^1265,333)

Output: Mod(238, 333)

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:57:42 2004

Input: factor(891106666666677777777777700)

Output: 
[2 2]

[5 2]

[107 1]

[7103 1]

[13297 1]

[881760077127421 1]


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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:58:12 2004

Input: isprime(891106666666677777777777700)

Output: 0

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:58:32 2004

Input: nextprime(891106666666677777777777700)

Output: 891106666666677777777777761

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:59:11 2004

Input: prime(102)

Output: 557

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:59:20 2004

Input: prime(100)

Output: 541

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


************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:59:39 2004

Input: prime(53)

Output: 241

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host proxy6-m.huji.ac.il. (128.139.226.36)
Time: Tue Apr 27 13:34:42 2004

Input: P<a, b, c, d> := PolynomialRing(RationalField(), 4, "grevlex");


Output: 
Errors (if any) and Timing Info:  ***   unused characters: P<a,b,c,d>:=PolynomialR
                              ^--------------------


Timing:
real	0m0.052s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 14:33:37 2004

Input: //i) 

GF8<alpha>:=FiniteField(8);
C3 := HammingCode(GF8, 2);
C3;

//ii)

IsPerfect(C3);
//true

//iii)

G:=GeneratorMatrix(C3);
G;

//[      1       0       0       0       0       0       0       1   alpha]
//[      0       1       0       0       0       0       0   alpha alpha^6]
//[      0       0       1       0       0       0       0 alpha^6 alpha^3]
//[      0       0       0       1       0       0       0 alpha^3 alpha^3]
//[      0       0       0       0       1       0       0 alpha^3 alpha^6]
//[      0       0       0       0       0       1       0 alpha^6   alpha]
//[      0       0       0       0       0       0       1   alpha       1]


H:=ParityCheckMatrix(C3);
H;

//[      1       0       1   alpha alpha^6 alpha^3 alpha^3 alpha^6   alpha]
//[      0       1   alpha alpha^6 alpha^3 alpha^3 alpha^6   alpha       1]

//iv) Hem de codificar el missatge (alpha,0,0,alpha,alpha^2,alpha^5,alpha)

V7:=VectorSpace(FiniteField(8),7); 
M:=V7![alpha,0,0,alpha,alpha^2,alpha^5,alpha]; 
MC:=M*G; //CM => Missatge Codificat
MC;

//(  alpha       0       0   alpha alpha^2 alpha^5   alpha       1 alpha^5)


//v) Hem de decodificar el missatge (alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4)
print "apartat5";

    //v) Hem de decodificar el missatge (alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4)


    //Directament amb una comanda de MAGMA:
    
    //v := C ! [alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4];

    V9:=VectorSpace(FiniteField(8),9);
    v:=V9![alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4];     

    bool, w := Decode ( C3,v); 
    bool;
    w; 

NumberOfWords(C3, 8);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: //i)
                              ^----

  ***   unexpected character: GF8<alpha>:=FiniteField(8);
                                        ^-----------------

  ***   unexpected character: C3:=HammingCode(GF8,2);
                                 ^--------------------

  ***   unexpected character: //ii)
                              ^-----

  ***   expected character: '=' instead of: IsPerfect(C3);
                                                         ^-

  ***   unexpected character: //true
                              ^------

  ***   unexpected character: //iii)
                              ^------

  ***   unexpected character: G:=GeneratorMatrix(C3)
                                ^--------------------

  ***   unexpected character: //[10000001alpha]
                              ^-----------------

  ***   unexpected character: //[0100000alphaalpha
                              ^--------------------

  ***   unexpected character: //[0010000alpha^6alp
                              ^--------------------

  ***   unexpected character: //[0001000alpha^3alp
                              ^--------------------

  ***   unexpected character: //[0000100alpha^3alp
                              ^--------------------

  ***   unexpected character: //[0000010alpha^6alp
                              ^--------------------

  ***   unexpected character: //[0000001alpha1]
                              ^-----------------

  ***   unexpected character: H:=ParityCheckMatrix(C
                                ^--------------------

  ***   unexpected character: //[101alphaalpha^6al
                              ^--------------------

  ***   unexpected character: //[01alphaalpha^6alp
                              ^--------------------

  ***   unexpected character: //iv)Hemdecodificare
                              ^--------------------

  ***   unexpected character: V7:=VectorSpace(FiniteF
                                 ^--------------------

  ***   unexpected character: M:=V7![alpha,0,0,alpha
                                ^--------------------

  ***   unexpected character: MC:=M*G;//CM=>MissatgeC
                                 ^--------------------

  ***   unexpected character: //(alpha00alphaalpha
                              ^--------------------

  ***   unexpected character: //v)Hemdedecodificar
                              ^--------------------

  ***   unused characters: print"apartat5";
                                ^-----------

  ***   unexpected character: //v)Hemdedecodificar
                              ^--------------------

  ***   unexpected character: //Directamentambunac
                              ^--------------------

  ***   unexpected character: //v:=C![alpha,0,0,al
                              ^--------------------

  ***   unexpected character: V9:=VectorSpace(FiniteF
                                 ^--------------------

  ***   unexpected character: v:=V9![alpha,0,0,alpha
                                ^--------------------

  ***   unused characters: bool,w:=Decode(C3,v);
                               ^-----------------

  ***   unknown function or error in formal parameters: NumberOfWords(C3,8);
                                                        ^--------------------


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


************** PARI *****************
Host ppp-62-11-10-93.dialup.tiscali.it. (62.11.10.93)
Time: Tue Apr 27 16:21:09 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ppp-62-11-10-93.dialup.tiscali.it. (62.11.10.93)
Time: Tue Apr 27 16:21:49 2004

Input: 12315616521231

Output: 12315616521231

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host becquerel.noos.net. (212.198.0.94)
Time: Tue Apr 27 17:08:16 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host coriolis.math.purdue.edu. (128.210.3.202)
Time: Tue Apr 27 17:33:48 2004

Input: 2+2


Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:13:40 2004

Input: 1+1

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.020s
sys	0m0.020s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:15:04 2004

Input: f<3>

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: f<3>
                                  ^


Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:15:54 2004

Input: Random(true)

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


Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:10 2004

Input: Random(B)

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


Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:33 2004

Input: Random()

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


Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:36 2004

Input: Random(3)

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


Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:44 2004

Input: Random(Boolean)

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


Timing:
real	0m0.049s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:53 2004

Input: 1 eq 2

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 1eq2
                             ^--


Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:59 2004

Input: true eq false

Output: trueeqfalse

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ktvn1f.fei.tuke.sk. (147.232.26.26)
Time: Wed Apr 28 02:50:31 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:24:17 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:25:02 2004

Input: binary(259)

Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:26:59 2004

Input: bezout(53,60)

Output: [17, -15, 1]

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


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:27:31 2004

Input: bezout(89,120)

Output: [-31, 23, 1]

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


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:28:43 2004

Input: factor(25)

Output: 
[5 2]


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


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:29:27 2004

Input: factor(3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.993s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:30:40 2004

Input: factor(406888839617379160907451419196545509)

Output: 
[20000001928374739 1]

[20344440019283747431 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.355s
user	0m0.280s
sys	0m0.050s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:49:11 2004

Input: factor(406888839617379160907451419196545509)

Output: 
[20000001928374739 1]

[20344440019283747431 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.345s
user	0m0.280s
sys	0m0.070s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:49:42 2004

Input: factor(406888839617379160907451419196545509969668965956958658487487489)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.021s
user	0m20.740s
sys	0m0.260s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:49:57 2004

Input: factor(40688883961737916090745141919654550996966896595695865)

Output: 
[5 1]

[291996665113 1]

[4780028582039 1]

[5830387081986306426912766939 1]


Errors (if any) and Timing Info:
Timing:
real	0m1.104s
user	0m1.020s
sys	0m0.070s


************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:50:14 2004

Input: factor(40688883961737916090745141919654550996966896595695863)

Output: 
[1759 1]

[42899 1]

[174959 1]

[2314854329 1]

[2418706853 1]

[550452160135237277921 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.816s
user	0m0.740s
sys	0m0.070s


************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:08:38 2004

Input: tryhfgg

Output: tryhfgg

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


************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:08:54 2004

Input: anh

Output: anh

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


************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:09:03 2004

Input: anh yeu

Output: anhyeu

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


************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:10:18 2004

Input: dangghet


Output: dangghet

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


************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:10:28 2004

Input: d



Output: d

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


************** PARI *****************
Host 3(NXDOMAIN) (134.147.233.70)
Time: Thu Apr 29 06:33:27 2004

Input: x=400
y=300
x+y=?


Output: 400
300

Errors (if any) and Timing Info:  ***   unexpected character: x+y=?
                                  ^-


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


************** PARI *****************
Host 3(NXDOMAIN) (134.147.233.70)
Time: Thu Apr 29 06:34:26 2004

Input: x=400
y=300

x+y


Output: 400
300
700

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


************** PARI *****************
Host 3(NXDOMAIN) (134.147.233.70)
Time: Thu Apr 29 06:34:45 2004

Input: x=400
y=300

x*y


Output: 400
300
120000

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


************** PARI *****************
Host 3(NXDOMAIN) (80.84.159.241)
Time: Thu Apr 29 08:08:05 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	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (212.205.99.105)
Time: Thu Apr 29 20:26:38 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	0m0.262s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host kv-083.ptt.yu. (213.137.110.211)
Time: Fri Apr 30 14:49:50 2004

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

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

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


************** PARI *****************
Host kv-083.ptt.yu. (213.137.110.211)
Time: Fri Apr 30 14:50:15 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	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ut-z-583d.adsl.wanadoo.nl. (212.129.216.61)
Time: Fri Apr 30 18:14:30 2004

Input: gcd(2^100,2^30)


Output: 1073741824

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host ut-z-583d.adsl.wanadoo.nl. (212.129.216.61)
Time: Fri Apr 30 18:14:49 2004

Input: gcd(2^100,2^30)
2^30

Output: 1073741824
1073741824

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


************** PARI *****************
Host dhcp18.eastfowl1.iit.edu. (198.37.18.18)
Time: Fri Apr 30 21:05:58 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	0m0.055s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:45:49 2004

Input: binary(259)

Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:45:59 2004

Input: binary(259)

Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]

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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:46:15 2004

Input: binary(25989)

Output: [1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1]

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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:46:24 2004

Input: binary(2598876786786867867868609999999999999)

Output: [1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:46:42 2004

Input: hexadecimal(2598876786786867867868609999999999999)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: hexadecimal(25988767
                                                        ^--------------------


Timing:
real	0m0.077s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:47:05 2004

Input: binary(2598876786786867867868609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453453454399999999)

Output: [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:47:17 2004

Input: 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 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:47:33 2004

Input: 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Output: [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 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1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.303s
user	0m0.260s
sys	0m0.040s


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:50:33 2004

Input: factor(9999999999999999991)

Output: 
[5441 1]

[1837897445322551 1]


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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:50:44 2004

Input: factor(9999999999999999993)

Output: 
[3 1]

[1009 1]

[1303427 1]

[2534550017 1]


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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:50:50 2004

Input: factor(9999999999999999997)

Output: 
[7 1]

[103 1]

[9431 1]

[155027 1]

[9486361 1]


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


************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May  1 04:51:22 2004

Input: factor(99999999999999999934726549678235749826354897236578492359784562397854923765482736548972365492367549762354976235977)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.002s
user	0m20.990s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (213.243.30.131)
Time: Sat May  1 15:15:22 2004

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

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

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


************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May  2 04:23:51 2004

Input: sum(k=1,100,1/k,0.)

Output: 5.187377517639620260805117675

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May  2 04:24:07 2004

Input: sum(k=1,1000,1/k,0.)

Output: 7.485470860550344912656518204

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


************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May  2 04:24:23 2004

Input: sum(k=1,1000000,1/k,0.)

Output: 14.39272672286572363138112749

Errors (if any) and Timing Info:
Timing:
real	0m2.746s
user	0m2.670s
sys	0m0.080s


************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May  2 04:24:55 2004

Input: sum(k=1,1000000,1/k,0.0)

Output: 14.39272672286572363138112749

Errors (if any) and Timing Info:
Timing:
real	0m2.750s
user	0m2.630s
sys	0m0.110s


************** PARI *****************
Host plaine-1-81-57-194-36.fbx.proxad.net. (81.57.194.36)
Time: Sun May  2 05:14:07 2004

Input: x^2*x^3

Output: x^5

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


************** PARI *****************
Host plaine-1-81-57-194-36.fbx.proxad.net. (81.57.194.36)
Time: Sun May  2 05:14:45 2004

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

Output: 
Errors (if any) and Timing Info:  ***   unused characters: (x-2)(x-3)
                                ^-----


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host plaine-1-81-57-194-36.fbx.proxad.net. (81.57.194.36)
Time: Sun May  2 05:15:00 2004

Input: (x-2)*(x-3)

Output: x^2 - 5*x + 6

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


************** PARI *****************
Host 12-214-76-26.client.mchsi.com. (12.214.76.26)
Time: Sun May  2 14:03:07 2004

Input: a = 0;
while(a < 23, 
   print(a);
   a = a + 1;
);

Output: 0

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: while(a<23,
                                                       ^

  ***   unused characters: );
                           ^--


Timing:
real	0m0.076s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May  2 21:11:03 2004

Input: gphelp -k "elliptic curves"

Output: 
Errors (if any) and Timing Info:  ***   unused characters: gphelp-k"elliptic curves"
                                   ^-----------------


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May  2 21:21:53 2004

Input: ellinit

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


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May  2 21:22:28 2004

Input: E=[0 0 1 -1 0]
ellinit

Output: [-9]

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


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May  2 22:19:41 2004

Input: 
// q-expansion of Newform number 1 of degree 1 in Full modular forms space of level 37, weight 2, and trivial character..
C 	:= RationalField();
R<a> 	:= PolynomialRing(C);
h    	:= a-1;
K<a> 	:= quo<R|h>;
R<q> 	:= PowerSeriesRing(K);
f 	:= q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: //q-expansionofNewfo
                              ^--------------------

  ***   unexpected character: C:=RationalField();
                                ^-----------------

  ***   unexpected character: R<a>:=PolynomialRing(C);
                                  ^--------------------

  ***   unexpected character: h:=a-1;
                                ^-----

  ***   unexpected character: K<a>:=quo<R|h>;
                                  ^-----------

  ***   unexpected character: R<q>:=PowerSeriesRing(K)
                                  ^--------------------

  ***   unexpected character: f:=q-2*q^2-3*q^3+2*q^4
                                ^--------------------


Timing:
real	0m0.054s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May  2 22:20:00 2004

Input: // q-expansion of Newform number 1 of degree 1 in Full modular forms space of level 37, weight 2, and trivial character..
C 	:= RationalField();
R<a> 	:= PolynomialRing(C);
h    	:= a-1;
K<a> 	:= quo<R|h>;
R<q> 	:= PowerSeriesRing(K);
f 	:= q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: //q-expansionofNewfo
                              ^--------------------

  ***   unexpected character: C:=RationalField();
                                ^-----------------

  ***   unexpected character: R<a>:=PolynomialRing(C);
                                  ^--------------------

  ***   unexpected character: h:=a-1;
                                ^-----

  ***   unexpected character: K<a>:=quo<R|h>;
                                  ^-----------

  ***   unexpected character: R<q>:=PowerSeriesRing(K)
                                  ^--------------------

  ***   unexpected character: f:=q-2*q^2-3*q^3+2*q^4
                                ^--------------------


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


************** PARI *****************
Host host203-130.pool8249.interbusiness.it. (82.49.130.203)
Time: Mon May  3 04:58:50 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	0m0.069s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (202.176.248.99)
Time: Mon May  3 05:48:13 2004

Input: 2+2=


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


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 14:57:39 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	0m0.062s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 14:57:56 2004

Input: ?3

Output: 
Euler       I           Pi          abs         acos        acosh
agm         arg         asin        asinh       atan        atanh
bernfrac    bernreal    bernvec     besseljh    besselk     cos
cosh        cotan       dilog       eint1       erfc        eta
exp         gamma       gammah      hyperu      incgam      incgamc
lngamma     log         polylog     psi         sin         sinh
sqr         sqrt        sqrtn       tan         tanh        teichmuller
theta       thetanullk  weber       zeta        


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 14:58:23 2004

Input: ?

Output: Help topics:
  0: list of user-defined identifiers (variable, alias, function)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Further help (list of relevant functions): ?n (1<=n<=11).
Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help looks available:
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial   (same with the GP tutorial)
  ??  refcard    (same with the GP reference card)

  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 14:58:51 2004

Input: ?9

Output: 
intnum    prod      prodeuler prodinf   solve     sum       sumalt
sumdiv    suminf    sumpos    


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:04:01 2004

Input: ?intnum(x=0,infty,1/x^2,flag=2)

Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a 
to b with respect to X. flag is optional and mean 0: default. s can be 
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or 
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a 
or b.


Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:04:37 2004

Input: intnum(x=0,infty,1/x^2,flag=2)

Output: 
Errors (if any) and Timing Info:  ***   division by zero in gdiv, gdivgs or ginv

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:04:49 2004

Input: intnum(x=1,infty,1/x^2,flag=2)

Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:05:37 2004

Input: intnum(x=1,infty,1/x^2,flag=2)

Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:05:53 2004

Input: intnum(x=1,infty,x^2,flag=2)

Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:05:58 2004

Input: intnum(x=1,infty,x^2,flag=2)

Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:06:16 2004

Input: ?intnum


Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a 
to b with respect to X. flag is optional and mean 0: default. s can be 
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or 
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a 
or b.


Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:07:38 2004

Input: intnum(x=0,1,x)


Output: 0.5000000000000000000000000000

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:08:06 2004

Input: intnum(x=1,infty,x,2)


Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:08:28 2004

Input: intnum(x=1,5,x^2)


Output: 41.33333333333333333333333333

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:08:51 2004

Input: intnum(x=6,5,1/x^2)


Output: -0.03333333333333333333333333330

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:09:07 2004

Input: intnum(x=6,infty,1/x^2,2)


Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:10:35 2004

Input: intnum(x=6,4,1/x^2,1)


Output: -0.08333333333333333333333333401

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:10:45 2004

Input: intnum(x=6,4,1/x^2,2)


Output: -0.08333333333333333333333333330

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:10:58 2004

Input: intnum(x=6,infty,1/x^2,2)


Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:11:20 2004

Input: intnum(x=6,infty,1/x^5,2)


Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:11:29 2004

Input: intnum(x=6,10,1/x^5,2)


Output: 0.0001679012345679012345679012344

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:21:54 2004

Input: %2

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

************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:30:31 2004

Input: a=x+y;
pol(a,y)

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: pol(a,y)
                                                    ^


Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:30:50 2004

Input: a=x+y;
pol(a,y);

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: pol(a,y);
                                                    ^-


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:30:58 2004

Input: a=x+y;
?pol(a,y);

Output: 
Errors (if any) and Timing Info:  ***   pol(a,y): unknown identifier.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:31:07 2004

Input: ?pol(a,y);

Output: 
Errors (if any) and Timing Info:  ***   pol(a,y): unknown identifier.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:31:15 2004

Input: ?pol

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

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:31:41 2004

Input: ?Pol

Output: Pol(x,{v=x}): convert x (usually a vector or a power series) into a polynomial 
with variable v, starting with the leading coefficient.


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:32:07 2004

Input: Pol(x+y,y)

Output: y + y

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:32:24 2004

Input: a=x+y
Pol(a,y)

Output: x + y
y + y

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:36:44 2004

Input: a=x+y
subst(a,y)

Output: x + y

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: subst(a,y)
                                                     ^-


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:36:55 2004

Input: a=x+y
Subst(a,y)

Output: x + y

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: Subst(a,y)
                                                      ^


Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:37:04 2004

Input: a=x+y
Pollsubst(a,y)

Output: x + y

Errors (if any) and Timing Info:  ***   expected character: '=' instead of: Pollsubst(a,y)
                                                          ^


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:37:14 2004

Input: ?subst

Output: subst(x,y,z): in expression x, replace the variable y by the expression z.


Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:37:42 2004

Input: subst(x+y,x,y)

Output: 2*y

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:38:07 2004

Input: a=x+y
subst(a,x,y)

Output: x + y
2*y

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:40:14 2004

Input: f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
subst(f,q,1/8+i*t)

Output: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)

Errors (if any) and Timing Info:  ***   non positive valuation in a series substitution.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:41:22 2004

Input: f= x^2 + 8*x
subst(f,x,i)

Output: x^2 + 8*x
i^2 + 8*i

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:47:25 2004

Input: f= x^2 + 8*x
subst(f,x,I)

Output: x^2 + 8*x
-1 + 8*I

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:47:44 2004

Input: f= x^2 + 8*x
subst(f,x,1+I)

Output: x^2 + 8*x
8 + 10*I

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:47:55 2004

Input: f= x^2 + 8*x
subst(f,x,1/8+I)

Output: x^2 + 8*x
1/64 + 33/4*I

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:48:17 2004

Input: f= x^2 + 8*x
subst(f,x,1/8+I*t)

Output: x^2 + 8*x
-t^2 + 33/4*I*t + 65/64

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:48:33 2004

Input: f= x^2
subst(f,x,1/8+I*t)

Output: x^2
-t^2 + 1/4*I*t + 1/64

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:49:07 2004

Input: f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
subst(f,q,1/8+I*t)

Output: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)

Errors (if any) and Timing Info:  ***   non positive valuation in a series substitution.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:49:20 2004

Input: f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 
subst(f,q,1/8+I*t)

Output: -30*q^99 + 12*q^98 + 4*q^97 - 24*q^96 + 18*q^94 + 12*q^93 + 4*q^92 + 2*q^91 + 24*q^90 + 4*q^89 - 18*q^87 - 4*q^86 + 6*q^84 - 15*q^83 + 18*q^82 + 9*q^81 + 8*q^80 + 4*q^79 - 12*q^78 + 5*q^77 + 3*q^75 + 2*q^74 - q^73 + 9*q^71 - 4*q^70 - 6*q^69 + 8*q^67 - 30*q^66 + 4*q^65 - 8*q^64 - 6*q^63 + 8*q^62 - 8*q^61 + 12*q^60 + 8*q^59 - 12*q^58 + 10*q^55 + 18*q^54 + q^53 - 4*q^52 + 2*q^50 - 6*q^49 + 12*q^48 - 9*q^47 - 4*q^46 - 12*q^45 - 10*q^44 + 2*q^43 - 6*q^42 - 9*q^41 + 6*q^39 - q^37 + 12*q^36 + 2*q^35 + 15*q^33 + 8*q^32 - 4*q^31 - 12*q^30 + 6*q^29 - 2*q^28 - 9*q^27 + 4*q^26 - q^25 + 2*q^23 + 10*q^22 + 3*q^21 - 4*q^20 - 12*q^18 - 4*q^16 + 6*q^15 + 2*q^14 - 2*q^13 - 6*q^12 - 5*q^11 + 4*q^10 + 6*q^9 - q^7 + 6*q^6 - 2*q^5 + 2*q^4 - 3*q^3 - 2*q^2 + q
30*I*t^99 + 1437/4*t^98 - 67933/32*I*t^97 - 2118319/256*t^96 + 6144861/256*I*t^95 + 113538391/2048*t^94 - 1744159747/16384*I*t^93 - 22937661313/131072*t^92 + 526589686663/2097152*I*t^91 + 5334801789605/16777216*t^90 - 47840830430749/134217728*I*t^89 - 376998298506831/1073741824*t^88 + 1272234677413735/4294967296*I*t^87 + 6821069705459733/34359738368*t^86 - 20903710962868753/274877906944*I*t^85 + 102818137633436741/2199023255552*t^84 - 10265323415070376633/70368744177664*I*t^83 - 115133495589055201019/562949953421312*t^82 + 980031303261307334539/4503599627370496*I*t^81 + 6932156356852275424777/36028797018963968*t^80 - 10436648545196921474841/72057594037927936*I*t^79 - 53784393834186667227467/576460752303423488*t^78 + 241892182818691212345175/4611686018427387904*I*t^77 + 1081651317372371095723741/36893488147419103232*t^76 - 13488444235989684923249181/590295810358705651712*I*t^75 - 125569606302223233072253127/4722366482869645213696*t^74 + 1240835016710540577401996671/37778931862957161709568*I*t^73 + 10940485053121697781477167717/302231454903657293676544*t^72 - 42177987712826737571029234427/1208925819614629174706176*I*t^71 - 290368904115640717626522349201/9671406556917033397649408*t^70 + 1843509014354820270503726449997/77371252455336267181195264*I*t^69 + 11222378371184669991615669928463/618970019642690137449562112*t^68 - 543340251703394159965106913349743/39614081257132168796771975168*I*t^67 - 3306366921679244014143775211465021/316912650057057350374175801344*t^66 + 19482944829874296982710225531594333/2535301200456458802993406410752*I*t^65 + 98601909488143005501366817280271151/20282409603651670423947251286016*t^64 - 16231698869366859901849723828901479/10141204801825835211973625643008*I*t^63 + 168347173668970955273831129689543307/81129638414606681695789005144064*t^62 - 3714991899777693636470803573125832807/649037107316853453566312041152512*I*t^61 - 44845034608004686950068871600575930573/5192296858534827628530496329220096*t^60 + 843187136370596303732029128769826924119/83076749736557242056487941267521536*I*t^59 + 6615120540990435087873771652165723674261/664613997892457936451903530140172288*t^58 - 43920378630146733699058171179827434464749/5316911983139663491615228241121378304*I*t^57 - 244374470734161840381773787878177530457791/42535295865117307932921825928971026432*t^56 + 551899527608747788615848162935700739108475/170141183460469231731687303715884105728*I*t^55 + 1815454468063671225546265678281622324194897/1361129467683753853853498429727072845824*t^54 - 901309875987376166246755213690409544422397/10889035741470030830827987437816582766592*I*t^53 + 70174597949471123243350210316153189914715553/87112285931760246646623899502532662132736*t^52 - 4429535143714768117150861038185138607260447103/2787593149816327892691964784081045188247552*I*t^51 - 49955394670955545554617493826753333455428471725/22300745198530623141535718272648361505980416*t^50 + 455514586852724997077736372392731228038596178941/178405961588244985132285746181186892047843328*I*t^49 + 3447281752923934537678682898050619769759239412687/1427247692705959881058285969449495136382746624*t^48 - 5525739529779708230251178273368915947561417364337/2854495385411919762116571938898990272765493248*I*t^47 - 30631555296296644140388661757304969863001580221907/22835963083295358096932575511191922182123945984*t^46 + 144206964523927278383609716070097427448904811260063/182687704666362864775460604089535377456991567872*I*t^45 + 431489536333017945355534296648129434950232978149493/1461501637330902918203684832716283019655932542976*t^44 + 4194142631918218662814820801144627267304491385282159/23384026197294446691258957323460528314494920687616*I*t^43 + 114503574266214140014139551596767118357746365901599645/187072209578355573530071658587684226515959365500928*t^42 - 1383985676716486460274164727249884725201757432880893541/1496577676626844588240573268701473812127674924007424*I*t^41 - 12776227405962322642789303851102335416738585665725494311/11972621413014756705924586149611790497021399392059392*t^40 + 50024333302100445061003741584894255822644973707958940509/47890485652059026823698344598447161988085597568237568*I*t^39 + 340743464162495030418564176322886261106735341360032285431/383123885216472214589586756787577295904684780545900544*t^38 - 1997266394570308476278672620102581163331038735965167014459/3064991081731777716716694054300618367237478244367204352*I*t^37 - 9545217654605024872970109643850336919270252631979463712073/24519928653854221733733552434404946937899825954937634816*t^36 + 459201975058352348781630842820440370134861962819715367287585/3138550867693340381917894711603833208051177722232017256448*I*t^35 - 1156407841268900068372907517404189618099357005061933680763405/25108406941546723055343157692830665664409421777856138051584*t^34 + 35511430358930561487502305649028037106887180204309605761358989/200867255532373784442745261542645325315275374222849104412672*I*t^33 + 423186216237811569249773594757479359423880531840561599763860927/1606938044258990275541962092341162602522202993782792835301376*t^32 - 506317344131100274948708322737569192824731695480015487099699519/1606938044258990275541962092341162602522202993782792835301376*I*t^31 - 3899614756976147456768804814303535508674464802533923064874377341/12855504354071922204335696738729300820177623950262342682411008*t^30 + 22555448367677835547801758698487619649902089975517986591039045025/102844034832575377634685573909834406561420991602098741459288064*I*t^29 + 90400443070240306821546980977028633214420008384000892101586878987/822752278660603021077484591278675252491367932816789931674304512*t^28 - 261526125670163059814771569739949257445382285743754920716228540405/13164036458569648337239753460458804039861886925068638906788872192*I*t^27 + 3614708133477858299193802899817007308859653346104107146772470457073/105312291668557186697918027683670432318895095400549111254310977536*t^26 - 44115567942855349889055967153162848813237220574664420373345741819209/842498333348457493583344221469363458551160763204392890034487820288*I*t^25 - 303563936950291592648103619898391550306496223484628820940764533389811/6739986666787659948666753771754907668409286105635143120275902562304*t^24 + 715895507565697165488705374644078637047295986497441744950671482759059/26959946667150639794667015087019630673637144422540572481103610249216*I*t^23 - 285221818826202858098360923645275434140542994505175350197398017667303/215679573337205118357336120696157045389097155380324579848828881993728*t^22 + 55812554045082862378469320686007972396487770180997922244977343457819387/1725436586697640946858688965569256363112777243042596638790631055949824*I*t^21 + 617178155556850396554388732594325887930392307071966014722959958916086985/13803492693581127574869511724554050904902217944340773110325048447598592*t^20 - 14826556727363393013616457989505260553324411346359808469566329850434983897/441711766194596082395824375185729628956870974218904739530401550323154944*I*t^19 - 12876917911107281538717813165037792239077040428232625009040106927018800987/3533694129556768659166595001485837031654967793751237916243212402585239552*t^18 - 643449904299025568415895802098540059052043924465582055046852362440640628437/28269553036454149273332760011886696253239742350009903329945699220681916416*I*t^17 - 7346809790256806134451958805588209255302753239024152114800277876438397568279/226156424291633194186662080095093570025917938800079226639565593765455331328*t^16 + 9736810545590406942421674985434216489123053868753968583934120376621094164651/452312848583266388373324160190187140051835877600158453279131187530910662656*I*t^15 + 12438444879024113960959954557812394734634820745485011824120450358005194986241/3618502788666131106986593281521497120414687020801267626233049500247285301248*t^14 + 108807891095283674684820365416000857200914988481762862883921546921710170087067/28948022309329048855892746252171976963317496166410141009864396001978282409984*I*t^13 - 861142714379331845372260008150340524076817022954319057740681240932584128354487/231584178474632390847141970017375815706539969331281128078915168015826259279872*t^12 + 50891363913230241558491805969408253656801929951509511339031705599570840218459903/3705346855594118253554271520278013051304639509300498049262642688253220148477952*I*t^11 + 275529878684475028804355749125331021943112963443219224087365681960969483329967309/29642774844752946028434172162224104410437116074403984394101141506025761187823616*t^10 + 945344526135912740478521875973733880280755297618022709436457803464014599691532427/237142198758023568227473377297792835283496928595231875152809132048206089502588928*I*t^9 + 13631466260869687649383444117874995832251145784685991135313234404857035472300208553/1897137590064188545819787018382342682267975428761855001222473056385648716020711424*t^8 - 20919697590337486426555753891449605636688741966034272102539017137029578005722093487/7588550360256754183279148073529370729071901715047420004889892225542594864082845696*I*t^7 - 377710742506675155436285367425467102054635659154984269682509789120691724750264509229/60708402882054033466233184588234965832575213720379360039119137804340758912662765568*t^6 + 1153955092768860047163024885071421731614431221330759307061159136041249224146067785273/485667223056432267729865476705879726660601709763034880312953102434726071301302124544*I*t^5 + 82104744442624904121610987031150052066995223
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.112s
user	0m0.100s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:51:29 2004

Input: f=1/x^2
intnum(x=1,infty,f,2)

Output: 1/x^2

Errors (if any) and Timing Info:  ***   forbidden assignment t_RFRAC --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:57:55 2004

Input: intnum(x=0,1,e^{-x^2})

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: intnum(x=0,1,e^{-x^2})
                                             ^-------


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:58:08 2004

Input: intnum(x=0,1,e^(-x^2))

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

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 15:58:59 2004

Input: intnum(x=0,1,exp(-x^2))

Output: 0.7468241328124270253994674361

Errors (if any) and Timing Info:
Timing:
real	0m0.098s
user	0m0.080s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 16:02:18 2004

Input: intnum(x=0,infty,exp(-x^2))

Output: 
Errors (if any) and Timing Info:  ***   forbidden assignment t_POL --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 16:02:35 2004

Input: intnum(x=0,infty,exp(-x^2),2)

Output: 
Errors (if any) and Timing Info:  ***   division by zero in gdiv, gdivgs or ginv

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:39:33 2004

Input: f=f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
intnum(q=0,exp(2*pi*I/8),f)

Output: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)

Errors (if any) and Timing Info:  ***   forbidden assignment t_SER --> t_REAL.

Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:40:02 2004

Input: f=f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99
intnum(q=0,exp(2*pi*I/8),f)

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

Errors (if any) and Timing Info:  ***   forbidden assignment t_SER --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:40:16 2004

Input: f= q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99
intnum(q=0,exp(2*pi*I/8),f)

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

Errors (if any) and Timing Info:  ***   forbidden assignment t_SER --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:40:42 2004

Input: f= q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 
intnum(q=0,exp(2*pi*I/8),f)

Output: 3*q^21 - 4*q^20 - 12*q^18 - 4*q^16 + 6*q^15 + 2*q^14 - 2*q^13 - 6*q^12 - 5*q^11 + 4*q^10 + 6*q^9 - q^7 + 6*q^6 - 2*q^5 + 2*q^4 - 3*q^3 - 2*q^2 + q

Errors (if any) and Timing Info:  ***   forbidden assignment t_SER --> t_REAL.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:41:00 2004

Input: f=q 
intnum(q=0,exp(2*pi*I/8),f)

Output: q

Errors (if any) and Timing Info:  ***   forbidden assignment t_SER --> t_REAL.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:41:47 2004

Input: f=x
intnum(x=0,1,f)

Output: x
1.000000000000000000000000000*x

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:42:17 2004

Input: f=x^2
intnum(x=0,1,f)

Output: x^2
1.000000000000000000000000000*x^2

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:42:41 2004

Input: ?intnum


Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a 
to b with respect to X. flag is optional and mean 0: default. s can be 
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or 
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a 
or b.


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:43:26 2004

Input: intnum(x=0,1,x)


Output: 0.5000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:44:10 2004

Input: f=x
intnum(x=0,1,f)


Output: x
1.000000000000000000000000000*x

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 17:44:17 2004

Input: f:=x
intnum(x=0,1,f)


Output: 1.000000000000000000000000000*f

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


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:01:59 2004

Input: f=x
int(x=0,1,f)

Output: x

Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: int(x=0,1,f)
                                                        ^------------


Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:02:12 2004

Input: f=x
intnum(x=0,1,f)

Output: x
1.000000000000000000000000000*x

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:02:45 2004

Input: f=x;
intnum(x=0,1,f)

Output: 1.000000000000000000000000000*x

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:04:14 2004

Input: f=x+1;
intnum(x=0,1,f)

Output: 1.000000000000000000000000000*x + 1.000000000000000000000000000

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:04:25 2004

Input: f=x+1;
intnum(x=0,2,f)

Output: 2.000000000000000000000000000*x + 2.000000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:07:48 2004

Input: f=Pol(x);
intnum(x=0,1,f)

Output: 1.000000000000000000000000000*x

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:14:05 2004

Input: Pol(x)
intnum(x=0,1,%1)

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

************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:14:35 2004

Input: f=Pol(x)
intnum(x=0,1,f)

Output: x
1.000000000000000000000000000*x

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:14:44 2004

Input: f=Pol(x);
intnum(x=0,1,f)

Output: 1.000000000000000000000000000*x

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:14:58 2004

Input: f=Pol(x^2-1);
intnum(x=0,1,f)

Output: 1.000000000000000000000000000*x^2 - 1.000000000000000000000000000

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:16:19 2004

Input: f=Pol(x^2-1);
intnum0(x,0,1,f)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: intnum0(x,0,1,f)
                                                        ^----------------


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:16:38 2004

Input: 
?intnum0(x,0,1,f)

Output: 
Errors (if any) and Timing Info:  ***   intnum0(x,0,1,f): unknown identifier.

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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 18:16:48 2004

Input: ?intnum(x,0,1,f)

Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a 
to b with respect to X. flag is optional and mean 0: default. s can be 
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or 
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a 
or b.


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


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 20:59:10 2004

Input: E=ellinit([0 0 1 -1 0])

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

Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May  3 21:00:11 2004

Input: E=ellinit([0 0 1 -1 0]);

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

Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host183-118.pool8250.interbusiness.it. (82.50.118.183)
Time: Tue May  4 05:41:42 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	0m0.030s


************** PARI *****************
Host reached (195.6.68.20)
Time: Tue May  4 07:00:53 2004

Input: factor(4234123412)

Output: 
[2 2]

[1058530853 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host xt2geo.math.u-psud.fr. (129.175.52.106)
Time: Tue May  4 08:56:49 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	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host ppp-104-214.iam.net.ma. (212.217.104.214)
Time: Tue May  4 14:22:50 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	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:06:52 2004

Input: Mod(56^37,143)

Output: Mod(56, 143)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:07:25 2004

Input: Mod(56^37,143)

Output: Mod(56, 143)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:08:48 2004

Input: Mod(251^52,11)

Output: Mod(4, 11)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:18:02 2004

Input: Mod(10^11,91)

Output: Mod(82, 91)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:19:02 2004

Input: Mod(56^37,143)

Output: Mod(56, 143)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:19:15 2004

Input: Mod(10^11,91)

Output: Mod(82, 91)

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May  4 19:47:33 2004

Input: Mod(10^11,13)

Output: Mod(4, 13)

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


************** PARI *****************
Host c-305a72d5.01-9-74686e1.cust.bredbandsbolaget.se. (213.114.90.48)
Time: Tue May  4 19:54:35 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	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host lucina18.ee.nthu.edu.tw. (140.114.26.178)
Time: Wed May  5 00:07:24 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 host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 08:06:07 2004

Input: Mod(10^13,72)

Output: Mod(64, 72)

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 08:09:34 2004

Input: Mod(10^13,91)

Output: Mod(10, 91)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 08:14:25 2004

Input: Mod(4^23,77)

Output: Mod(9, 77)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 08:17:37 2004

Input: Mod(56^13,143)

Output: Mod(56, 143)

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 09:15:35 2004

Input: Mod(-272,91)

Output: Mod(1, 91)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 09:16:50 2004

Input: Mod(456,91)

Output: Mod(1, 91)

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


************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May  5 11:36:49 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	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May  5 11:37:46 2004

Input: a=vector(7)

Output: [0, 0, 0, 0, 0, 0, 0]

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


************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May  5 11:38:01 2004

Input: a=vector(7)

Output: [0, 0, 0, 0, 0, 0, 0]

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


************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May  5 11:38:55 2004

Input:  Mod(Mod(1,2)*(t^5+t+1),t^6)

Output: Mod(Mod(1, 2)*t^5 + Mod(1, 2)*t + Mod(1, 2), t^6)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:18:06 2004

Input: isprime(113)

Output: 1

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:19:14 2004

Input: isprime(221)

Output: 0

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:35:46 2004

Input: Mod(2^55,221)

Output: Mod(128, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:39:27 2004

Input: Mod(128^2,221)

Output: Mod(30, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:39:38 2004

Input: Mod(30^2,221)

Output: Mod(16, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:39:49 2004

Input: Mod(16^2,221)

Output: Mod(35, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:39:57 2004

Input: Mod(35^2,221)

Output: Mod(120, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:40:04 2004

Input: Mod(120^2,221)

Output: Mod(35, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:40:12 2004

Input: Mod(35^2,221)

Output: Mod(120, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:41:48 2004

Input: Mod(2^55,221)

Output: Mod(128, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:42:01 2004

Input: Mod(128^2,221)

Output: Mod(30, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:42:07 2004

Input: Mod(128^4,221)

Output: Mod(16, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:42:18 2004

Input: Mod(128^6,221)

Output: Mod(38, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:42:24 2004

Input: Mod(128^8,221)

Output: Mod(35, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:42:30 2004

Input: Mod(128^10,221)

Output: Mod(166, 221)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:42:44 2004

Input: isprime(221)

Output: 0

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:43:07 2004

Input: isprime(7)

Output: 1

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:43:11 2004

Input: isprime(755)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:43:19 2004

Input: isprime(55)

Output: 0

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:43:49 2004

Input: Isprime(55)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Isprime(55)
                                                        ^-----------


Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:43:58 2004

Input: isprime(55)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.000s
sys	0m0.060s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:44:44 2004

Input: isprime(10)

Output: 0

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:44:49 2004

Input: isprime(17)

Output: 1

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 12:44:59 2004

Input: isprime(221)

Output: 0

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:30:52 2004

Input: Mod(45^54,91)

Output: Mod(64, 91)

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:43:33 2004

Input: factor(561)

Output: 
[3 1]

[11 1]

[17 1]


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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:44:48 2004

Input: factor(256)

Output: 
[2 8]


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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:47:05 2004

Input: Mod(12^256,11)

Output: Mod(1, 11)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:47:15 2004

Input: Mod(12^256,3)

Output: Mod(0, 3)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:47:25 2004

Input: Mod(12^256,3)

Output: Mod(0, 3)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:49:36 2004

Input: Mod(12^256,17)

Output: Mod(1, 17)

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


************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May  5 17:54:50 2004

Input: Mod(12^256,561)

Output: Mod(375, 561)

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


************** PARI *****************
Host millennium-ppp103.ccf.auth.gr. (155.207.209.230)
Time: Thu May  6 03:15:29 2004

Input: R<x> := PolynomialRing(Integers());
> K<a> := NumberField(x^7 - x^6 + 8*x^5 + 2);
> UnitEquation(a^7, 4*a^2 + a^80, a^7 + a^80 + 4*a^2);




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

  ***   unexpected character: >K<a>:=NumberField(x
                              ^--------------------

  ***   unexpected character: >UnitEquation(a^7,4*
                              ^--------------------


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


************** PARI *****************
Host 3(NXDOMAIN) (213.212.232.103)
Time: Thu May  6 05:44:22 2004

Input: x=30*800

Output: 24000

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


************** PARI *****************
Host 3(NXDOMAIN) (213.212.232.103)
Time: Thu May  6 05:44:48 2004

Input: for(x=0,30,print(x)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: for(x=0,30,print(x)
                                                               ^


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


************** PARI *****************
Host 3(NXDOMAIN) (213.212.232.103)
Time: Thu May  6 05:44:56 2004

Input: for(x=0,30,print(x))

Output: 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

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


************** PARI *****************
Host bess-proxy11.esc11.net. (63.147.240.11)
Time: Thu May  6 13:19:15 2004

Input: hjfhjfh

Output: hjfhjfh

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host gauss.math.brown.edu. (128.148.194.8)
Time: Thu May  6 14:13:03 2004

Input: K<w>:=CyclotomicField(79);
G:=MatrixGroup< 3,K | [w,0,0,0,w^23,0,0,0,w^55], [0,1,0,0,0,1,1,0,0]>;  
T:=CharacterTable(G);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K<w>:=CyclotomicField(79
                                  ^--------------------

  ***   unexpected character: G:=MatrixGroup<3,K|[w,
                                ^--------------------

  ***   unexpected character: T:=CharacterTable(G);
                                ^-------------------


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


************** PARI *****************
Host gauss.math.brown.edu. (128.148.194.8)
Time: Thu May  6 14:13:35 2004

Input: K<w>:=CyclotomicField(79);
G:=MatrixGroup< 3,K | [w,0,0,0,w^23,0,0,0,w^55], [0,1,0,0,0,1,1,0,0]>;  


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K<w>:=CyclotomicField(79
                                  ^--------------------

  ***   unexpected character: G:=MatrixGroup<3,K|[w,
                                ^--------------------


Timing:
real	0m0.108s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (81.208.160.254)
Time: Thu May  6 17:30:48 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	0m0.060s
sys	0m0.000s


************** PARI *****************
Host 3(NXDOMAIN) (81.208.160.254)
Time: Thu May  6 17:31:12 2004

Input: 1 mod 5

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 1mod5
                            ^----


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


************** PARI *****************
Host 3(NXDOMAIN) (128.250.191.14)
Time: Thu May  6 20:57:23 2004

Input: e>1; e<43*47;

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

Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (128.250.191.14)
Time: Thu May  6 21:09:37 2004

Input: temp:= gcd(e,1932)=1

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: temp:=gcd(e,1932)=1
                                   ^--------------


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host marcus.whmo.mil. (214.3.140.16)
Time: Fri May  7 09:49:06 2004

Input: sqr(5)*3



Output: 75

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


************** PARI *****************
Host marcus.whmo.mil. (214.3.140.16)
Time: Fri May  7 09:49:16 2004

Input: sqr(9)*3



Output: 243

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


************** PARI *****************
Host 3(NXDOMAIN) (131.204.204.79)
Time: Fri May  7 10:17:47 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	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (131.204.204.79)
Time: Fri May  7 10:17:51 2004

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

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

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


************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May  8 04:10:17 2004

Input: for(x=0,11,print(Mod(123456789,x)))


Output: 
Errors (if any) and Timing Info:  ***   division by zero in dvmdii

Timing:
real	0m0.076s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May  8 04:10:31 2004

Input: for(x=1,11,print(Mod(123456789,x)))


Output: Mod(0, 1)
Mod(1, 2)
Mod(0, 3)
Mod(1, 4)
Mod(4, 5)
Mod(3, 6)
Mod(1, 7)
Mod(5, 8)
Mod(0, 9)
Mod(9, 10)
Mod(5, 11)

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


************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May  8 04:11:47 2004

Input: for(x=12345678,12345669,print(Mod(123456789,x)))


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


************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May  8 04:12:02 2004

Input: for(x=12345678,12345669,print(Mod(123456789,x)))


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


************** PARI *****************
Host 81-202-132-67.user.ono.com. (81.202.132.67)
Time: Sat May  8 05:40:53 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	0m0.050s
sys	0m0.000s


************** PARI *****************
Host HSE-Toronto-ppp181657.sympatico.ca. (64.229.95.198)
Time: Sat May  8 22:39:36 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	0m0.068s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May  9 02:26:32 2004

Input: for(x=1,10,print(Mod(1234567,x^9)))


Output: Mod(0, 1)
Mod(135, 512)
Mod(14221, 19683)
Mod(185991, 262144)
Mod(1234567, 1953125)
Mod(1234567, 10077696)
Mod(1234567, 40353607)
Mod(1234567, 134217728)
Mod(1234567, 387420489)
Mod(1234567, 1000000000)

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May  9 02:27:11 2004

Input: for(x=1,10,print(Mod(1234567,17)))


Output: Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May  9 02:27:22 2004

Input: for(x=1,10,print(Mod(1234567,x+17)))


Output: Mod(1, 18)
Mod(4, 19)
Mod(7, 20)
Mod(19, 21)
Mod(15, 22)
Mod(19, 23)
Mod(7, 24)
Mod(17, 25)
Mod(9, 26)
Mod(19, 27)

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May  9 02:27:38 2004

Input: for(x=1,10,print(Mod(1234567,x+x^2+17)))


Output: Mod(4, 19)
Mod(19, 23)
Mod(8, 29)
Mod(25, 37)
Mod(18, 47)
Mod(51, 59)
Mod(64, 73)
Mod(48, 89)
Mod(1, 107)
Mod(0, 127)

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May  9 02:28:12 2004

Input: for(x=1,10,print(Mod(1234567,1017)))


Output: Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May  9 02:28:22 2004

Input: for(x=1,10,print(Mod(1234567,127)))


Output: Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host AStrasbourg-206-1-34-86.w81-248.abo.wanadoo.fr. (81.248.228.86)
Time: Sun May  9 07:41:17 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (202.179.137.14)
Time: Sun May  9 07:41:52 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	0m0.049s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host c-67-162-170-33.client.comcast.net. (67.162.170.33)
Time: Sun May  9 21:04:48 2004

Input: M:=ModularSymbols(Gamma1(43));
S:=CuspidalSubspace(M);
D:=NewformDecomposition(S);
A:=D[2];
LRatio(A,1)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: M:=ModularSymbols(Gamm
                                ^--------------------

  ***   unexpected character: S:=CuspidalSubspace(M)
                                ^--------------------

  ***   unexpected character: D:=NewformDecompositio
                                ^--------------------

  ***   unexpected character: A:=D[2];
                                ^------

  ***   unknown function or error in formal parameters: LRatio(A,1)
                                                        ^-----------


Timing:
real	0m0.070s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host docsis133-182.menta.net. (62.57.133.182)
Time: Mon May 10 19:09:27 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	0m0.069s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host docsis133-182.menta.net. (62.57.133.182)
Time: Mon May 10 19:09:38 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host docsis133-182.menta.net. (62.57.133.182)
Time: Mon May 10 19:09:55 2004

Input: x+4=0

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x+4=0
                                 ^--


Timing:
real	0m0.050s
user	0m0.000s
sys	0m0.050s


************** PARI *****************
Host farmer-barleymow.maths.ox.ac.uk. (163.1.148.64)
Time: Tue May 11 09:07:01 2004

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

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

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


************** PARI *****************
Host p508EA213.dip.t-dialin.net. (80.142.162.19)
Time: Tue May 11 13:37:17 2004

Input: 1

Output: 1

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


************** PARI *****************
Host p508EA213.dip.t-dialin.net. (80.142.162.19)
Time: Tue May 11 13:37:43 2004

Input: 5^x=6,7

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 5^x=6,7
                                ^--


Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:20:37 2004

Input: e;=Ellinit([0,0,-1,0,0]);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: e;=Ellinit([0,0,-1,0,0
                                ^--------------------


Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:20:44 2004

Input: e:=Ellinit([0,0,-1,0,0]);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: e:=Ellinit([0,0,-1,0,0
                                ^--------------------


Timing:
real	0m0.049s
user	0m0.020s
sys	0m0.020s


************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:20:49 2004

Input: e:=Ellinit([0,0,-1,0,0]);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: e:=Ellinit([0,0,-1,0,0
                                ^--------------------


Timing:
real	0m0.049s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:21:19 2004

Input: e:=Ellinit([0,0,-1,0,0])

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: e:=Ellinit([0,0,-1,0,0
                                ^--------------------


Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host AVelizy-112-1-20-159.w81-248.abo.wanadoo.fr. (81.248.173.159)
Time: Tue May 11 18:45:57 2004

Input: sum(i,1...10)


Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: sum(i,1...10)
                                                 ^--------


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


************** PARI *****************
Host AVelizy-112-1-20-159.w81-248.abo.wanadoo.fr. (81.248.173.159)
Time: Tue May 11 18:46:14 2004

Input: =
sum(i,1...10)


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: =sum(i,1...10)
                              ^--------------


Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host pD9F83B65.dip.t-dialin.net. (217.248.59.101)
Time: Wed May 12 09:50:16 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host maga1.matap.uma.es. (150.214.235.72)
Time: Wed May 12 11:54:15 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	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:47:29 2004

Input: 2x^2 + 3x^2


Output: 
Errors (if any) and Timing Info:  ***   unused characters: 2x^2+3x^2
                            ^--------


Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:49:00 2004

Input: 2^2 + 3^2


Output: 13

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:49:17 2004

Input: 2*x^2 + 3*x^2


Output: 5*x^2

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:55:43 2004

Input: 2*x^2 + 2*y^2 = 2*r^2


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


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


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:56:10 2004

Input: 2*x^2 + 2*y^2 

Output: 2*x^2 + 2*y^2

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


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:56:25 2004

Input: (2*x)^2 + (2*y)^2 

Output: 4*x^2 + 4*y^2

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


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:57:04 2004

Input: (2*x)^2 + (2*y)^2 - (2*z)^2

Output: 4*x^2 + (4*y^2 - 4*z^2)

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


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:57:23 2004

Input: (2*x)^2 + (2*y)^2 - (2*z)^2 = 0

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


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


************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 19:05:17 2004

Input: z:= (((2*x)^2 + (2*y)^2)^.5)/2) 

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


Timing:
real	0m0.053s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host host94-210.pool62211.interbusiness.it. (62.211.210.94)
Time: Thu May 13 03:53:40 2004

Input: 345-2

Output: 343

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


************** PARI *****************
Host host94-210.pool62211.interbusiness.it. (62.211.210.94)
Time: Thu May 13 03:53:57 2004

Input: type(345-2)

Output: "t_INT"

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


************** PARI *****************
Host host94-210.pool62211.interbusiness.it. (62.211.210.94)
Time: Thu May 13 03:54:17 2004

Input: type(type)

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


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Fri May 14 07:05:21 2004

Input: for(n=1,200,if(isprime(n),print1(n",")))

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,

Errors (if any) and Timing Info:
Timing:
real	0m0.099s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Fri May 14 07:06:31 2004

Input: pi10(n) = local(ct); for(x=10^n,10^n+100,if(isprime(x),ct++));ct

 for(n=0,300,print1(pi10(n)","))



Output: 26,25,21,16,11,6,6,2,6,7,5,7,4,3,4,2,4,7,4,5,1,0,3,0,2,1,1,0,0,0,2,3,1,1,0,1,1,2,0,4,0,0,1,3,2,1,0,1,0,2,0,0,0,0,1,1,2,0,0,1,4,1,0,0,2,1,1,2,1,2,1,0,1,2,0,0,0,1,1,1,0,3,0,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,2,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,2,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,
Errors (if any) and Timing Info:
Timing:
real	0m20.994s
user	0m20.940s
sys	0m0.060s


************** PARI *****************
Host 3(NXDOMAIN) (147.83.79.100)
Time: Fri May 14 07:16:43 2004

Input: FiniteField(2,5)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: FiniteField(2,5)
                                                        ^----------------


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


************** PARI *****************
Host spinks.ewlab.usna.edu. (131.122.85.49)
Time: Fri May 14 10:49:43 2004

Input: x=[1,2;1;0]

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: x=[1,2;1;0]
                                                    ^---


Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 80.58.15.170.proxycache.rima-tde.net. (80.58.15.170)
Time: Fri May 14 17:33:47 2004

Input: 67591

Output: 67591

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


************** PARI *****************
Host modem-0506.rns.tamu.edu. (165.91.66.57)
Time: Sat May 15 07:51:14 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	0m0.100s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host modem-0506.rns.tamu.edu. (165.91.66.57)
Time: Sat May 15 07:51:23 2004

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

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

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


************** PARI *****************
Host 05McMath-SS54a.mid4.usna.edu. (131.122.47.122)
Time: Sun May 16 18:57:06 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	0m0.072s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 05McMath-SS54a.mid4.usna.edu. (131.122.47.122)
Time: Sun May 16 18:57:45 2004

Input: factor(28);


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


************** PARI *****************
Host 05McMath-SS54a.mid4.usna.edu. (131.122.47.122)
Time: Sun May 16 18:57:58 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	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Mon May 17 05:39:39 2004

Input: S:=[13, 19, 31, 37, 43, 59, 61, 67, 71 ];
for b in S do

print(b);
A<i,j,k> := QuaternionAlgebra< RationalField() | -3, -b>;
RamifiedPrimes(A);

end for;

Output: forbinSdo
b

Errors (if any) and Timing Info:  ***   unexpected character: S:=[13,19,31,37,43,59,
                                ^--------------------

  ***   unused characters: A<i,j,k>:=QuaternionAlg
                              ^--------------------

  ***   expected character: '=' instead of: RamifiedPrimes(A);
                                                             ^-


Timing:
real	0m0.075s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Mon May 17 05:39:53 2004

Input: S:=[13, 19, 31, 37, 43, 59, 61, 67, 71];
for b in S do

print(b);
A<i,j,k> := QuaternionAlgebra< RationalField() | -3, -b>;
RamifiedPrimes(A);

end for;

Output: forbinSdo
b

Errors (if any) and Timing Info:  ***   unexpected character: S:=[13,19,31,37,43,59,
                                ^--------------------

  ***   unused characters: A<i,j,k>:=QuaternionAlg
                              ^--------------------

  ***   expected character: '=' instead of: RamifiedPrimes(A);
                                                             ^-


Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host 3(NXDOMAIN) (217.220.141.103)
Time: Tue May 18 04:20:30 2004

Input: dsas

Output: dsas

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host p508F7391.dip.t-dialin.net. (80.143.115.145)
Time: Tue May 18 09:41:25 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	0m0.275s
user	0m0.050s
sys	0m0.040s


************** PARI *****************
Host 2(SERVFAIL) (213.8.179.11)
Time: Tue May 18 10:08:04 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	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host cache.uci.agh.edu.pl. (149.156.96.20)
Time: Tue May 18 15:00:30 2004

Input: 6+6


Output: 12

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host cache.uci.agh.edu.pl. (149.156.96.20)
Time: Tue May 18 15:01:26 2004

Input: 6-4



Output: 2

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


************** PARI *****************
Host roam183-108.student.harvard.edu. (140.247.183.108)
Time: Tue May 18 21:23:25 2004

Input: F<x> := PolynomialRing(RationalField());
N<w> := NumberField(x^2-3);
I := Ideal<O| w>
O := MaximalOrder(N);
Index(O, I);

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

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

  ***   unexpected character: I:=Ideal<O|w>
                                ^-----------

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

  ***   expected character: '(' instead of: Index(O,I);
                                                   ^----


Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 83-70-34-158.bas2.prp.dublin.eircom.net. (83.70.34.158)
Time: Wed May 19 12:23:16 2004

Input: GolayCode(GF(2),true);

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: GolayCode(GF(2),true);
                                                                  ^------------


Timing:
real	0m0.078s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 83-70-34-158.bas2.prp.dublin.eircom.net. (83.70.34.158)
Time: Wed May 19 12:23:29 2004

Input: 1+1;

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


************** PARI *****************
Host math64-235.bu.edu. (128.197.60.43)
Time: Wed May 19 13:34:48 2004

Input: E=ellinit([0,0,0,0,1])

Output: [0, 0, 0, 0, 1, 0, 0, 4, 0, 0, -864, -432, 0, [-1.000000000000000000000000000, 0.5000000000000000000000000000 - 0.8660254037844386467637231707*I, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]~, 4.206546315976362783525057237, -2.103273157988181391762528618 + 1.214325323943790805909970844*I, -1.293554779614895267476757512 + 1.44309482 E-29*I, 0.6467773898074476337383787562 - 1.120251300333280219655206320*I, 5.108115717832556535122194506]

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


************** PARI *****************
Host 3(NXDOMAIN) (202.83.162.26)
Time: Thu May 20 03:16:22 2004

Input: M:=KMatrixSpace(FiniteField(2),8,16);
G:=M![1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0];
C:=LinearCode(G);
H:=M![1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0];
D:=LinearCode(H);
K:=M![1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0];
B:=LinearCode(K);

IsEquivalent(C,D)




Output: 
Errors (if any) and Timing Info:  ***   unexpected character: M:=KMatrixSpace(Finite
                                ^--------------------

  ***   unexpected character: G:=M![1,1,1,1,0,0,0,0,
                                ^--------------------

  ***   unexpected character: C:=LinearCode(G);
                                ^---------------

  ***   unexpected character: H:=M![1,1,1,1,0,0,0,0,
                                ^--------------------

  ***   unexpected character: D:=LinearCode(H);
                                ^---------------

  ***   unexpected character: K:=M![1,1,1,1,0,0,0,0,
                                ^--------------------

  ***   unused characters: ,1,1,1,1,1,1,1,1,0,0
                           ^--------------------

  ***   unexpected character: B:=LinearCode(K);
                                ^---------------

  ***   expected character: '=' instead of: IsEquivalent(C,D)
                                                             ^


Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (61.144.207.230)
Time: Thu May 20 08:23:38 2004

Input: sin(3)

Output: 0.1411200080598672221007448027

Errors (if any) and Timing Info:
Timing:
real	0m0.269s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host dialup-4.154.30.117.Dial1.Atlanta1.Level3.net. (4.154.30.117)
Time: Thu May 20 10:28:42 2004

Input: factor(12345678901234567890123456789012345678901234567890)


Output: 
[2 1]

[3 2]

[5 1]

[251 1]

[3607 1]

[3803 1]

[5051 1]

[21401 1]

[25601 1]

[182521213001 1]

[78875943472201 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.121s
user	0m0.070s
sys	0m0.030s


************** PARI *****************
Host dialup-4.154.30.117.Dial1.Atlanta1.Level3.net. (4.154.30.117)
Time: Thu May 20 10:29:27 2004

Input: v

Output: v

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host c211-31-7-42.blktn4.nsw.optusnet.com.au. (211.31.7.42)
Time: Thu May 20 20:49:37 2004

Input: Factorization(2222222222222)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Factorization(222222
                                                        ^--------------------


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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 22:56:39 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	0m0.071s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 22:59:51 2004

Input: 2+2

Output: 4

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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:00:36 2004

Input: 1./ 7

Output: 0.1428571428571428571428571428

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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:04:10 2004

Input: factor(12345)

Output: 
[3 1]

[5 1]

[823 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:06:46 2004

Input: factor(11111111111111111111111111111111111111111111111111111111111111111111111)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.001s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:06:55 2004

Input: factor(111111111111111111111111111111111111111111111111111111111)

Output: 
[3 1]

[37 1]

[21319 1]

[10749631 1]

[1111111111111111111 1]

[3931123022305129377976519 1]


Errors (if any) and Timing Info:
Timing:
real	0m1.684s
user	0m1.570s
sys	0m0.090s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:07:15 2004

Input: factor(1111111111111111111111111111111111111111111111111111111111)

Output: 
[11 1]

[59 1]

[3191 1]

[16763 1]

[43037 1]

[62003 1]

[77843839397 1]

[154083204930662557781201849 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.608s
user	0m0.540s
sys	0m0.060s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:07:26 2004

Input: factor(11111111111111111111111111111111111111111111111111111111111)

Output: 
[2559647034361 1]

[4340876285657460212144534289928559826755746751 1]


Errors (if any) and Timing Info:
Timing:
real	0m4.245s
user	0m4.220s
sys	0m0.020s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:08:44 2004

Input: factor(1111111111 1111111111)

Output: 
[11 1]

[41 1]

[101 1]

[271 1]

[3541 1]

[9091 1]

[27961 1]


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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:09:03 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1)

Output: 
[3 1]

[37 1]

[613 1]

[210631 1]

[2071723 1]

[52986961 1]

[5363222357 1]

[13168164561429877 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.152s
user	0m0.130s
sys	0m0.020s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:09:11 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111)

Output: 
[11 1]

[41 1]

[251 1]

[271 1]

[5051 1]

[9091 1]

[21401 1]

[25601 1]

[182521213001 1]

[78875943472201 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.104s
user	0m0.040s
sys	0m0.070s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:09:35 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1)

Output: 
[3 1]

[37 1]

[613 1]

[210631 1]

[2071723 1]

[52986961 1]

[5363222357 1]

[13168164561429877 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.155s
user	0m0.130s
sys	0m0.030s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:10:04 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 11)

Output: 
[11 1]

[53 1]

[79 1]

[101 1]

[521 1]

[859 1]

[265371653 1]

[1058313049 1]

[1900381976777332243781 1]


Errors (if any) and Timing Info:
Timing:
real	0m1.112s
user	0m1.040s
sys	0m0.080s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:10:28 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 111)

Output: 
[107 1]

[1659431 1]

[1325815267337711173 1]

[47198858799491425660200071 1]


Errors (if any) and Timing Info:
Timing:
real	0m3.484s
user	0m3.370s
sys	0m0.110s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:10:53 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111)

Output: 
[3 3]

[7 1]

[11 1]

[13 1]

[19 1]

[37 1]

[757 1]

[52579 1]

[333667 1]

[70541929 1]

[14175966169 1]

[440334654777631 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.148s
user	0m0.130s
sys	0m0.010s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:11:10 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 11111)

Output: 
[41 1]

[271 1]

[1321 1]

[21649 1]

[62921 1]

[513239 1]

[83251631 1]

[1300635692678058358830121 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.297s
user	0m0.230s
sys	0m0.080s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:11:27 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 111111)

Output: 
[11 1]

[29 1]

[73 1]

[101 1]

[137 1]

[239 1]

[281 1]

[4649 1]

[7841 1]

[909091 1]

[121499449 1]

[127522001020150503761 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.122s
user	0m0.100s
sys	0m0.030s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:11:44 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111)

Output: 
[3 1]

[37 1]

[21319 1]

[10749631 1]

[1111111111111111111 1]

[3931123022305129377976519 1]


Errors (if any) and Timing Info:
Timing:
real	0m1.613s
user	0m1.550s
sys	0m0.060s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:00 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 11111111)

Output: 
[11 1]

[59 1]

[3191 1]

[16763 1]

[43037 1]

[62003 1]

[77843839397 1]

[154083204930662557781201849 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.598s
user	0m0.510s
sys	0m0.090s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:18 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 111111111)

Output: 
[2559647034361 1]

[4340876285657460212144534289928559826755746751 1]


Errors (if any) and Timing Info:
Timing:
real	0m4.243s
user	0m4.230s
sys	0m0.020s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:32 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111)

Output: 
[3 1]

[7 1]

[11 1]

[13 1]

[31 1]

[37 1]

[41 1]

[61 1]

[101 1]

[211 1]

[241 1]

[271 1]

[2161 1]

[3541 1]

[9091 1]

[9901 1]

[27961 1]

[2906161 1]

[4188901 1]

[39526741 1]


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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:45 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1)

Output: 
[733 1]

[4637 1]

[329401 1]

[974293 1]

[1360682471 1]

[106007173861643 1]

[7061709990156159479 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.479s
user	0m0.450s
sys	0m0.040s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:08 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 11)

Output: 
[11 1]

[2791 1]

[6943319 1]

[57336415063790604359 1]

[909090909090909090909090909091 1]


Errors (if any) and Timing Info:
Timing:
real	0m10.689s
user	0m10.520s
sys	0m0.180s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:24 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111)

Output: 
[3 2]

[37 1]

[43 1]

[239 1]

[1933 1]

[4649 1]

[10837 1]

[23311 1]

[45613 1]

[333667 1]

[10838689 1]

[45121231 1]

[1921436048294281 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.164s
user	0m0.140s
sys	0m0.020s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:36 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111)

Output: 
[11 1]

[17 1]

[73 1]

[101 1]

[137 1]

[353 1]

[449 1]

[641 1]

[1409 1]

[19841 1]

[69857 1]

[976193 1]

[5882353 1]

[6187457 1]

[834427406578561 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.116s
user	0m0.090s
sys	0m0.030s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:51 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 11111)

Output: 
[41 1]

[53 1]

[79 1]

[271 1]

[265371653 1]

[162503518711 1]

[5538396997364024056286510640780600481 1]


Errors (if any) and Timing Info:
Timing:
real	0m1.127s
user	0m1.020s
sys	0m0.110s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:14:07 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111111)

Output: 
[3 1]

[7 1]

[11 2]

[13 1]

[23 1]

[37 1]

[67 1]

[4093 1]

[8779 1]

[21649 1]

[513239 1]

[599144041 1]

[183411838171 1]

[1344628210313298373 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.726s
user	0m0.680s
sys	0m0.050s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:14:42 2004

Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.997s
user	0m20.920s
sys	0m0.080s


************** PARI *****************
Host 66-214-63-34.vv-cres.charterpipeline.net. (66.214.63.34)
Time: Sat May 22 23:19:13 2004

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

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

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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:19:14 2004

Input: 2*4*5*10*3541*27961 

Output: 39603960400

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host ip68-102-105-123.ks.ok.cox.net. (68.102.105.123)
Time: Sat May 22 23:42:36 2004

Input: x + 1 = 13

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x+1=13
                                 ^---


Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 77.218.203.62.cust.bluewin.ch. (62.203.218.77)
Time: Sun May 23 13:58:23 2004

Input: Pi

Output: 3.141592653589793238462643383

Errors (if any) and Timing Info:
Timing:
real	0m0.082s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host SHASTA087178.ig.com.br. (200.151.87.178)
Time: Sun May 23 14:26:58 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	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host SHASTA087178.ig.com.br. (200.151.87.178)
Time: Sun May 23 14:27:09 2004

Input: 2212

Output: 2212

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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:50:14 2004

Input: padicappr(3*x^3+4*y^3+5*z^3,2);

Output: 
Errors (if any) and Timing Info:  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:50:25 2004

Input: padicappr(3*x^3+4*y^3+5*z^3,3);

Output: 
Errors (if any) and Timing Info:  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:55:46 2004

Input: apprgen(3*x^3+4*y^3+5*z^3, t_PADIC);
padicappr(3*x^3+4*y^3+5*z^3,3);

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: apprgen(3*x^3+4*y^3+
                                                        ^--------------------

  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:07 2004

Input: factor(x^15-1);

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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:18 2004

Input: factor(x^15-1)

Output: 
[x - 1 1]

[x^2 + x + 1 1]

[x^4 + x^3 + x^2 + x + 1 1]

[x^8 - x^7 + x^5 - x^4 + x^3 - x + 1 1]


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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:27 2004

Input: apprgen(3*x^3+4*y^3+5*z^3, t_PADIC)
padicappr(3*x^3+4*y^3+5*z^3,3)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: apprgen(3*x^3+4*y^3+
                                                        ^--------------------

  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:32 2004

Input: 
padicappr(3*x^3+4*y^3+5*z^3,3)

Output: 
Errors (if any) and Timing Info:  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:59:58 2004

Input: pol:=3*x^3+4*y^3+5*z^3
padicappr(pol,3,10)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: pol:=3*x^3+4*y^3+5*z^3
                                  ^------------------

  ***   expected character: ')' instead of: padicappr(pol,3,10)
                                                           ^----


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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:00:16 2004

Input: pol:=3*x^3+4*y^3+5*z^3
padicappr(pol,3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: pol:=3*x^3+4*y^3+5*z^3
                                  ^------------------

  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:01:56 2004

Input: pol:=3*x^3+4*x+2
padicappr(pol,3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: pol:=3*x^3+4*x+2
                                  ^------------

  ***   incorrect type(s) or zero polynomial in rootpadic or factorpadic

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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:02:22 2004

Input: pol:=3*x^3+4*x+2
factorpadic(pol,3)

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: pol:=3*x^3+4*x+2
                                  ^------------

  ***   expected character: ',' instead of: factorpadic(pol,3)
                                                             ^-


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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:03:24 2004

Input: pol:=3*x^3+4*x+2
factorpadic(pol,3,10)

Output: 
[(1 + O(3^10))*pol 1]


Errors (if any) and Timing Info:  ***   unexpected character: pol:=3*x^3+4*x+2
                                  ^------------


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:03:34 2004

Input: pol:=3x^3+4x+2
factorpadic(pol,3,10)

Output: 
[(1 + O(3^10))*pol 1]


Errors (if any) and Timing Info:  ***   unexpected character: pol:=3x^3+4x+2
                                  ^----------


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


************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:03:57 2004

Input: pol:=3*x^3+4*y^3+5*z^3


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: pol:=3*x^3+4*y^3+5*z^3
                                  ^------------------


Timing:
real	0m0.059s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Mon May 24 04:31:52 2004

Input: A<i,j,k> := QuaternionAlgebra< RationalField() | -2, -5>;
RamifiedPrimes(A);
Discriminant(A);
IsDefinite(A);
Norm(a + b*i + c*j + d*k);

Output: 
Errors (if any) and Timing Info:  ***   unused characters: A<i,j,k>:=QuaternionAlg
                              ^--------------------

  ***   expected character: '=' instead of: RamifiedPrimes(A);
                                                             ^-

  ***   expected character: '=' instead of: Discriminant(A);
                                                           ^-

  ***   expected character: '=' instead of: IsDefinite(A);
                                                         ^-

  ***   expected character: ',' instead of: Norm(a+b*i+c*j+d*k);
                                                  ^--------------


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


************** PARI *****************
Host aula-b-siee89.uab.es. (158.109.66.89)
Time: Mon May 24 05:44:13 2004

Input: p:=2;
m:=3;
F<alpha>:=GF(p,m);
n:=#F-1;
d:=3;
b:=5;
C:=ReedSolomonCode(F,d);
matriu:=Matrix([Random(C):i in [1..b]]);
informacio_per_files:=[matriu[i,j]: j in [1..n],i in [1..b]];

InformacioEnviadaPerColumnes:=function(p,m,b,informacio)
return [informacio[l*((p^m)-1)+n+1]:l in [0..(b-1)],n in [0..((p^m)-2)] ];
end function;
iec:=InformacioEnviadaPerColumnes(p,m,b,informacio_per_files);
iec;

Aux1:=function (tira,raf,iraf,pos)
if pos ge iraf and pos lt iraf+#raf then return (tira[pos]+raf[1+pos-iraf]); else return tira[pos]; end if;
end function;

InformacioRebudaPerFiles:=function (p,m,b,infor_per_cols,rafega,principi_rafega)
iae:=[Aux1(infor_per_cols,rafega,principi_rafega,k):k in [1..#infor_per_cols]];
return [iae[l*(p^m-1)+n+1]:l in [0..b-1],n in [0..p^m-2]];
end function;



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

  ***   unexpected character: m:=3;
                                ^---

  ***   unexpected character: F<alpha>:=GF(p,m);
                                      ^----------

  ***   unexpected character: n:=#F-1;
                                ^------

  ***   unexpected character: d:=3;
                                ^---

  ***   unexpected character: b:=5;
                                ^---

  ***   unexpected character: C:=ReedSolomonCode(F,d
                                ^--------------------

  ***   unexpected character: matriu:=Matrix([Random(C):i
                                     ^--------------------

  ***   unexpected character: informacio_per_files:=[matriu[i,j]:jin[1.
                                                   ^--------------------

  ***   unexpected character: ...rmacioEnviadaPerColumnes:=function(p,m,b,info
                                                          ^--------------------

  ***   expected character: ']' instead of: ...formacio[l*((p^m)-1)+n+1]
  ***   :lin[0..(b-1)],nin[0
        ^--------------------

  ***   unexpected character: iec:=InformacioEnviadaPe
                                  ^--------------------

  ***   unexpected character: Aux1:=function(tira,raf,i
                                   ^--------------------

  ***   unexpected character: ifposgeirafandposltiraf+#rafthenreturn(tira[
                                                      ^--------------------

  ***   unexpected character: InformacioRebudaPerFiles:=function(p,m,b,info
                                                       ^--------------------

  ***   unexpected character: iae:=[Aux1(infor_per_col
                                  ^--------------------

  ***   expected character: ']' instead of: return[iae[l*(p^m-1)+n+1]
  ***   :lin[0..b-1],nin[0..
        ^--------------------


Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (80.191.161.131)
Time: Mon May 24 06:45:07 2004

Input: factor(2^128+1)
;


Output: 
[59649589127497217 1]

[5704689200685129054721 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.725s
user	0m0.620s
sys	0m0.080s


************** PARI *****************
Host 3(NXDOMAIN) (80.191.161.131)
Time: Mon May 24 06:47:51 2004

Input: factor(2^128+1)
;100!


Output: 
[59649589127497217 1]

[5704689200685129054721 1]

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

Errors (if any) and Timing Info:
Timing:
real	0m0.689s
user	0m0.620s
sys	0m0.060s


************** PARI *****************
Host super.math.uu.nl. (131.211.23.11)
Time: Tue May 25 08:57:17 2004

Input: 2^1000

Output: 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host host181-31.pool8251.interbusiness.it. (82.51.31.181)
Time: Wed May 26 13:53:18 2004

Input: n1=2*2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.117s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host pcp04423503pcs.nrockv01.md.comcast.net. (69.140.129.60)
Time: Wed May 26 19:48:25 2004

Input: Integrate[x, {x, 0, 2}];

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: Integrate[x,{x,0,2}];
                                          ^---------


Timing:
real	0m0.051s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Thu May 27 04:44:34 2004

Input: A<i,j,k> := QuaternionAlgebra(3);
i^2;
j^2;
i*j;
k^2;

Output: 
Errors (if any) and Timing Info:  ***   unused characters: A<i,j,k>:=QuaternionAlg
                              ^--------------------


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


************** PARI *****************
Host cache.tpu.ee. (193.40.239.25)
Time: Thu May 27 05:04:11 2004

Input: 23+56

Output: 79

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


************** PARI *****************
Host proxy310.docomo.ne.jp. (210.136.161.202)
Time: Thu May 27 11:56:46 2004

Input: qfbclassno(-23)

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.214s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (200.55.145.12)
Time: Fri May 28 13:59:36 2004

Input: plot[x,{x,1,2}]

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

************** PARI *****************
Host n171h140.dhcp.kanazawa-it.ac.jp. (202.13.171.140)
Time: Sat May 29 01:57:31 2004

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

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

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


************** PARI *****************
Host spb-213-33-246-76.ppp.sovintel.spb.ru. (213.33.246.76)
Time: Sat May 29 11:24:10 2004

Input: K := GF(19);
E := EllipticCurve(K 17);
E;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: K:=GF(19);
                                ^--------

  ***   unexpected character: E:=EllipticCurve(K17);
                                ^--------------------


Timing:
real	0m0.132s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:12:41 2004

Input: 2 + 2

Output: 4

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


************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:12:42 2004

Input: 2 + 2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:13:10 2004

Input: y = mx + b


Output: mx + b

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


************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:14:24 2004

Input: 3 / 2


Output: 3/2

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


************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 03:50:57 2004

Input: 20050118^16+1

Output: 682135931108970548974010942029530037099461652644123268717032552543629498618274807845196084194997771440079337622142977

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


************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 05:39:14 2004

Input: Phi(3,-1905473^8192)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Phi(3,-1905473^8192)
                                                        ^--------------------


Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:45:47 2004

Input: factor(11111111111111111)

Output: 
[2071723 1]

[5363222357 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.622s
user	0m0.090s
sys	0m0.090s


************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:46:16 2004

Input: 1111*2222222222222

Output: 2468888888888642

Errors (if any) and Timing Info:
Timing:
real	0m0.094s
user	0m0.060s
sys	0m0.040s


************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:47:05 2004

Input: 1111*2222222^222222

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m24.555s
user	0m19.950s
sys	0m1.060s


************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:47:17 2004

Input: 1111*2222222^222

Output: 107777066693282849251305616981565773271499684846448256240638137970396352386771454947055850745107378193140349834641501090867691765590411727357842658725857071752734303841214354273611801615501626005240647978661965803566585008153398909032496460193431689057680941987939050954162475098787688202162483615032702438451432476830106145030976685780013357304433158089225491109727713458387556022506458389996934187687666271774522297976617067934577589047485309087506961570312008245170575406540386300377046223770895476920652580796612558517300527477721887390362647623390726978686567733036834772039585338869122987754141523954640081916996329233158987174880945804842873295066077754786351361838791186570010813768503973487650314710577994460035356272059571418116079840294944339508147324046768800147504630529835898583827938905448793172164234696552864895292218024269982578907581389180345671247088807953470795070053698297393119423464295176596053286345775164721181924175699299018865387023350390885654324144138014515911669468615798977121913237422345334218756896581908083743524961506316866249693272098409160904153169416974624279019115467631617199666403859049102503404771095237109692702270020112764460315026443397082586274059257469432206757701331829714255215520739669012594995603775948331285644435638649566075130591710722561074279505452281923245734438226815553394502209587138195873552224056590751099194459931969727306111540524590784399093530624

Errors (if any) and Timing Info:
Timing:
real	0m0.160s
user	0m0.070s
sys	0m0.050s


************** PARI *****************
Host poltek.malang.indo.net.id. (202.53.244.150)
Time: Mon May 31 02:52:56 2004

Input: 1+1


Output: 2

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


************** PARI *****************
Host ANancy-114-1-11-86.w81-251.abo.wanadoo.fr. (81.251.254.86)
Time: Mon May 31 03:27:38 2004

Input: 1000!

Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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


************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon May 31 21:26:04 2004

Input: factor(532)

Output: 
[2 2]

[7 1]

[19 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.219s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (220.192.145.96)
Time: Tue Jun  1 05:34:27 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	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host rowmp1.pu.kielce.pl. (81.26.8.33)
Time: Tue Jun  1 08:08:01 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	0m0.069s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (169.203.114.141)
Time: Tue Jun  1 11:44:01 2004

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

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

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


************** PARI *****************
Host 3(NXDOMAIN) (207.175.61.153)
Time: Tue Jun  1 13:39:06 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	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host gw.braemarcollege.com. (216.191.69.198)
Time: Tue Jun  1 14:37:04 2004

Input: 1+23+7

Output: 31

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


************** PARI *****************
Host BSN-250-63-77.dsl.siol.net. (213.250.63.77)
Time: Tue Jun  1 15:37:50 2004

Input: aa

Output: aa

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


************** PARI *****************
Host BSN-250-63-77.dsl.siol.net. (213.250.63.77)
Time: Tue Jun  1 15:38:09 2004

Input: 2-4

Output: -2

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


************** PARI *****************
Host c-24-18-146-87.client.comcast.net. (24.18.146.87)
Time: Tue Jun  1 18:52:42 2004

Input: (x + x^2 + x^3)^6

Output: x^18 + 6*x^17 + 21*x^16 + 50*x^15 + 90*x^14 + 126*x^13 + 141*x^12 + 126*x^11 + 90*x^10 + 50*x^9 + 21*x^8 + 6*x^7 + x^6

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


************** PARI *****************
Host c-24-18-146-87.client.comcast.net. (24.18.146.87)
Time: Tue Jun  1 18:54:34 2004

Input: (1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14)^2 * (x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14)

Output: x^42 + 3*x^41 + 6*x^40 + 10*x^39 + 15*x^38 + 21*x^37 + 28*x^36 + 36*x^35 + 45*x^34 + 55*x^33 + 66*x^32 + 78*x^31 + 90*x^30 + 102*x^29 + 114*x^28 + 124*x^27 + 132*x^26 + 138*x^25 + 142*x^24 + 144*x^23 + 144*x^22 + 142*x^21 + 138*x^20 + 132*x^19 + 124*x^18 + 114*x^17 + 102*x^16 + 90*x^15 + 78*x^14 + 66*x^13 + 55*x^12 + 45*x^11 + 36*x^10 + 28*x^9 + 21*x^8 + 15*x^7 + 10*x^6 + 6*x^5 + 3*x^4 + x^3

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


************** PARI *****************
Host HSE-Ottawa-ppp238725.sympatico.ca. (64.230.82.16)
Time: Wed Jun  2 00:53:37 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	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host geo.math.u-psud.fr. (129.175.50.56)
Time: Wed Jun  2 04:36:27 2004

Input: Pi

Output: 3.141592653589793238462643383

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


************** PARI *****************
Host btm8x5.mat.uni-bayreuth.de. (132.180.16.84)
Time: Wed Jun  2 08:50:32 2004

Input: Q:=RationalField();
V:=VectorSpace(Q,6);

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

  ***   unexpected character: V:=VectorSpace(Q,6);
                                ^------------------


Timing:
real	0m0.105s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host dC8544670.dslam-05-12-4-03-01-01.cao.dsl.cantv.net. (200.84.70.112)
Time: Wed Jun  2 17:45:03 2004

Input: 12333321111

Output: 12333321111

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


************** PARI *****************
Host dC8544670.dslam-05-12-4-03-01-01.cao.dsl.cantv.net. (200.84.70.112)
Time: Wed Jun  2 17:45:21 2004

Input: 12333


Output: 12333

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


************** PARI *****************
Host host82-117.pool80182.interbusiness.it. (80.182.117.82)
Time: Wed Jun  2 19:17:22 2004

Input: 8*9

Output: 72

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


************** PARI *****************
Host ajarrah.bioinformatics.vt.edu. (128.173.99.77)
Time: Thu Jun  3 09:39:42 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	0m0.081s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host proxy.lookic.com. (64.80.121.101)
Time: Thu Jun  3 13:40:58 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	0m0.040s
sys	0m0.010s


************** PARI *****************
Host c-24-2-205-33.client.comcast.net. (24.2.205.33)
Time: Thu Jun  3 14:17:21 2004

Input: for(i=1,10^6, print([i,i^2]););

Output: [1, 1]
[2, 4]
[3, 9]
[4, 16]
[5, 25]
[6, 36]
[7, 49]
[8, 64]
[9, 81]
[10, 100]
[11, 121]
[12, 144]
[13, 169]
[14, 196]
[15, 225]
[16, 256]
[17, 289]
[18, 324]
[19, 361]
[20, 400]
[21, 441]
[22, 484]
[23, 529]
[24, 576]
[25, 625]
[26, 676]
[27, 729]
[28, 784]
[29, 841]
[30, 900]
[31, 961]
[32, 1024]
[33, 1089]
[34, 1156]
[35, 1225]
[36, 1296]
[37, 1369]
[38, 1444]
[39, 1521]
[40, 1600]
[41, 1681]
[42, 1764]
[43, 1849]
[44, 1936]
[45, 2025]
[46, 2116]
[47, 2209]
[48, 2304]
[49, 2401]
[50, 2500]
[51, 2601]
[52, 2704]
[53, 2809]
[54, 2916]
[55, 3025]
[56, 3136]
[57, 3249]
[58, 3364]
[59, 3481]
[60, 3600]
[61, 3721]
[62, 3844]
[63, 3969]
[64, 4096]
[65, 4225]
[66, 4356]
[67, 4489]
[68, 4624]
[69, 4761]
[70, 4900]
[71, 5041]
[72, 5184]
[73, 5329]
[74, 5476]
[75, 5625]
[76, 5776]
[77, 5929]
[78, 6084]
[79, 6241]
[80, 6400]
[81, 6561]
[82, 6724]
[83, 6889]
[84, 7056]
[85, 7225]
[86, 7396]
[87, 7569]
[88, 7744]
[89, 7921]
[90, 8100]
[91, 8281]
[92, 8464]
[93, 8649]
[94, 8836]
[95, 9025]
[96, 9216]
[97, 9409]
[98, 9604]
[99, 9801]
[100, 10000]
[101, 10201]
[102, 10404]
[103, 10609]
[104, 10816]
[105, 11025]
[106, 11236]
[107, 11449]
[108, 11664]
[109, 11881]
[110, 12100]
[111, 12321]
[112, 12544]
[113, 12769]
[114, 12996]
[115, 13225]
[116, 13456]
[117, 13689]
[118, 13924]
[119, 14161]
[120, 14400]
[121, 14641]
[122, 14884]
[123, 15129]
[124, 15376]
[125, 15625]
[126, 15876]
[127, 16129]
[128, 16384]
[129, 16641]
[130, 16900]
[131, 17161]
[132, 17424]
[133, 17689]
[134, 17956]
[135, 18225]
[136, 18496]
[137, 18769]
[138, 19044]
[139, 19321]
[140, 19600]
[141, 19881]
[142, 20164]
[143, 20449]
[144, 20736]
[145, 21025]
[146, 21316]
[147, 21609]
[148, 21904]
[149, 22201]
[150, 22500]
[151, 22801]
[152, 23104]
[153, 23409]
[154, 23716]
[155, 24025]
[156, 24336]
[157, 24649]
[158, 24964]
[159, 25281]
[160, 25600]
[161, 25921]
[162, 26244]
[163, 26569]
[164, 26896]
[165, 27225]
[166, 27556]
[167, 27889]
[168, 28224]
[169, 28561]
[170, 28900]
[171, 29241]
[172, 29584]
[173, 29929]
[174, 30276]
[175, 30625]
[176, 30976]
[177, 31329]
[178, 31684]
[179, 32041]
[180, 32400]
[181, 32761]
[182, 33124]
[183, 33489]
[184, 33856]
[185, 34225]
[186, 34596]
[187, 34969]
[188, 35344]
[189, 35721]
[190, 36100]
[191, 36481]
[192, 36864]
[193, 37249]
[194, 37636]
[195, 38025]
[196, 38416]
[197, 38809]
[198, 39204]
[199, 39601]
[200, 40000]
[201, 40401]
[202, 40804]
[203, 41209]
[204, 41616]
[205, 42025]
[206, 42436]
[207, 42849]
[208, 43264]
[209, 43681]
[210, 44100]
[211, 44521]
[212, 44944]
[213, 45369]
[214, 45796]
[215, 46225]
[216, 46656]
[217, 47089]
[218, 47524]
[219, 47961]
[220, 48400]
[221, 48841]
[222, 49284]
[223, 49729]
[224, 50176]
[225, 50625]
[226, 51076]
[227, 51529]
[228, 51984]
[229, 52441]
[230, 52900]
[231, 53361]
[232, 53824]
[233, 54289]
[234, 54756]
[235, 55225]
[236, 55696]
[237, 56169]
[238, 56644]
[239, 57121]
[240, 57600]
[241, 58081]
[242, 58564]
[243, 59049]
[244, 59536]
[245, 60025]
[246, 60516]
[247, 61009]
[248, 61504]
[249, 62001]
[250, 62500]
[251, 63001]
[252, 63504]
[253, 64009]
[254, 64516]
[255, 65025]
[256, 65536]
[257, 66049]
[258, 66564]
[259, 67081]
[260, 67600]
[261, 68121]
[262, 68644]
[263, 69169]
[264, 69696]
[265, 70225]
[266, 70756]
[267, 71289]
[268, 71824]
[269, 72361]
[270, 72900]
[271, 73441]
[272, 73984]
[273, 74529]
[274, 75076]
[275, 75625]
[276, 76176]
[277, 76729]
[278, 77284]
[279, 77841]
[280, 78400]
[281, 78961]
[282, 79524]
[283, 80089]
[284, 80656]
[285, 81225]
[286, 81796]
[287, 82369]
[288, 82944]
[289, 83521]
[290, 84100]
[291, 84681]
[292, 85264]
[293, 85849]
[294, 86436]
[295, 87025]
[296, 87616]
[297, 88209]
[298, 88804]
[299, 89401]
[300, 90000]
[301, 90601]
[302, 91204]
[303, 91809]
[304, 92416]
[305, 93025]
[306, 93636]
[307, 94249]
[308, 94864]
[309, 95481]
[310, 96100]
[311, 96721]
[312, 97344]
[313, 97969]
[314, 98596]
[315, 99225]
[316, 99856]
[317, 100489]
[318, 101124]
[319, 101761]
[320, 102400]
[321, 103041]
[322, 103684]
[323, 104329]
[324, 104976]
[325, 105625]
[326, 106276]
[327, 106929]
[328, 107584]
[329, 108241]
[330, 108900]
[331, 109561]
[332, 110224]
[333, 110889]
[334, 111556]
[335, 112225]
[336, 112896]
[337, 113569]
[338, 114244]
[339, 114921]
[340, 115600]
[341, 116281]
[342, 116964]
[343, 117649]
[344, 118336]
[345, 119025]
[346, 119716]
[347, 120409]
[348, 121104]
[349, 121801]
[350, 122500]
[351, 123201]
[352, 123904]
[353, 124609]
[354, 125316]
[355, 126025]
[356, 126736]
[357, 127449]
[358, 128164]
[359, 128881]
[360, 129600]
[361, 130321]
[362, 131044]
[363, 131769]
[364, 132496]
[365, 133225]
[366, 133956]
[367, 134689]
[368, 135424]
[369, 136161]
[370, 136900]
[371, 137641]
[372, 138384]
[373, 139129]
[374, 139876]
[375, 140625]
[376, 141376]
[377, 142129]
[378, 142884]
[379, 143641]
[380, 144400]
[381, 145161]
[382, 145924]
[383, 146689]
[384, 147456]
[385, 148225]
[386, 148996]
[387, 149769]
[388, 150544]
[389, 151321]
[390, 152100]
[391, 152881]
[392, 153664]
[393, 154449]
[394, 155236]
[395, 156025]
[396, 156816]
[397, 157609]
[398, 158404]
[399, 159201]
[400, 160000]
[401, 160801]
[402, 161604]
[403, 162409]
[404, 163216]
[405, 164025]
[406, 164836]
[407, 165649]
[408, 166464]
[409, 167281]
[410, 168100]
[411, 168921]
[412, 169744]
[413, 170569]
[414, 171396]
[415, 172225]
[416, 173056]
[417, 173889]
[418, 174724]
[419, 175561]
[420, 176400]
[421, 177241]
[422, 178084]
[423, 178929]
[424, 179776]
[425, 180625]
[426, 181476]
[427, 182329]
[428, 183184]
[429, 184041]
[430, 184900]
[431, 185761]
[432, 186624]
[433, 187489]
[434, 188356]
[435, 189225]
[436, 190096]
[437, 190969]
[438, 191844]
[439, 192721]
[440, 193600]
[441, 194481]
[442, 195364]
[443, 196249]
[444, 197136]
[445, 198025]
[446, 198916]
[447, 199809]
[448, 200704]
[449, 201601]
[450, 202500]
[451, 203401]
[452, 204304]
[453, 205209]
[454, 206116]
[455, 207025]
[456, 207936]
[457, 208849]
[458, 209764]
[459, 210681]
[460, 211600]
[461, 212521]
[462, 213444]
[463, 214369]
[464, 215296]
[465, 216225]
[466, 217156]
[467, 218089]
[468, 219024]
[469, 219961]
[470, 220900]
[471, 221841]
[472, 222784]
[473, 223729]
[474, 224676]
[475, 225625]
[476, 226576]
[477, 227529]
[478, 228484]
[479, 229441]
[480, 230400]
[481, 231361]
[482, 232324]
[483, 233289]
[484, 234256]
[485, 235225]
[486, 236196]
[487, 237169]
[488, 238144]
[489, 239121]
[490, 240100]
[491, 241081]
[492, 242064]
[493, 243049]
[494, 244036]
[495, 245025]
[496, 246016]
[497, 247009]
[498, 248004]
[499, 249001]
[500, 250000]
[501, 251001]
[502, 252004]
[503, 253009]
[504, 254016]
[505, 255025]
[506, 256036]
[507, 257049]
[508, 258064]
[509, 259081]
[510, 260100]
[511, 261121]
[512, 262144]
[513, 263169]
[514, 264196]
[515, 265225]
[516, 266256]
[517, 267289]
[518, 268324]
[519, 269361]
[520, 270400]
[521, 271441]
[522, 272484]
[523, 273529]
[524, 274576]
[525, 275625]
[526, 276676]
[527, 277729]
[528, 278784]
[529, 279841]
[530, 280900]
[531, 281961]
[532, 283024]
[533, 284089]
[534, 285156]
[535, 286225]
[536, 287296]
[537, 288369]
[538, 289444]
[539, 290521]
[540, 291600]
[541, 292681]
[542, 293764]
[543, 294849]
[544, 295936]
[545, 297025]
[546, 298116]
[547, 299209]
[548, 300304]
[549, 301401]
[550, 302500]
[551, 303601]
[552, 304704]
[553, 305809]
[554, 306916]
[555, 308025]
[556, 309136]
[557, 310249]
[558, 311364]
[559, 312481]
[560, 313600]
[561, 314721]
[562, 315844]
[563, 316969]
[564, 318096]
[565, 319225]
[566, 320356]
[567, 321489]
[568, 322624]
[569, 323761]
[570, 324900]
[571, 326041]
[572, 327184]
[573, 328329]
[574, 329476]
[575, 330625]
[576, 331776]
[577, 332929]
[578, 334084]
[579, 335241]
[580, 336400]
[581, 337561]
[582, 338724]
[583, 339889]
[584, 341056]
[585, 342225]
[586, 343396]
[587, 344569]
[588, 345744]
[589, 346921]
[590, 348100]
[591, 349281]
[592, 350464]
[593, 351649]
[594, 352836]
[595, 354025]
[596, 355216]
[597, 356409]
[598, 357604]
[599, 358801]
[600, 360000]
[601, 361201]
[602, 362404]
[603, 363609]
[604, 364816]
[605, 366025]
[606, 367236]
[607, 368449]
[608, 369664]
[609, 370881]
[610, 372100]
[611, 373321]
[612, 374544]
[613, 375769]
[614, 376996]
[615, 378225]
[616, 379456]
[617, 380689]
[618, 381924]
[619, 383161]
[620, 384400]
[621, 385641]
[622, 386884]
[623, 388129]
[624, 389376]
[625, 390625]
[626, 391876]
[627, 393129]
[628, 394384]
[629, 395641]
[630, 396900]
[631, 398161]
[632, 399424]
[633, 400689]
[634, 401956]
[635, 403225]
[636, 404496]
[637, 405769]
[638, 407044]
[639, 408321]
[640, 409600]
[641, 410881]
[642, 412164]
[643, 413449]
[644, 414736]
[645, 416025]
[646, 417316]
[647, 418609]
[648, 419904]
[649, 421201]
[650, 422500]
[651, 423801]
[652, 425104]
[653, 426409]
[654, 427716]
[655, 429025]
[656, 430336]
[657, 431649]
[658, 432964]
[659, 434281]
[660, 435600]
[661, 436921]
[662, 438244]
[663, 439569]
[664, 440896]
[665, 442225]
[666, 443556]
[667, 444889]
[668, 446224]
[669, 447561]
[670, 448900]
[671, 450241]
[672, 451584]
[673, 452929]
[674, 454276]
[675, 455625]
[676, 456976]
[677, 458329]
[678, 459684]
[679, 461041]
[680, 462400]
[681, 463761]
[682, 465124]
[683, 466489]
[684, 467856]
[685, 469225]
[686, 470596]
[687, 471969]
[688, 473344]
[689, 474721]
[690, 476100]
[691, 477481]
[692, 478864]
[693, 480249]
[694, 481636]
[695, 483025]
[696, 484416]
[697, 485809]
[698, 487204]
[699, 488601]
[700, 490000]
[701, 491401]
[702, 492804]
[703, 494209]
[704, 495616]
[705, 497025]
[706, 498436]
[707, 499849]
[708, 501264]
[709, 502681]
[710, 504100]
[711, 505521]
[712, 506944]
[713, 508369]
[714, 509796]
[715, 511225]
[716, 512656]
[717, 514089]
[718, 515524]
[719, 516961]
[720, 518400]
[721, 519841]
[722, 521284]
[723, 522729]
[724, 524176]
[725, 525625]
[726, 527076]
[727, 528529]
[728, 529984]
[729, 531441]
[730, 532900]
[731, 534361]
[732, 535824]
[733, 537289]
[734, 538756]
[735, 540225]
[736, 541696]
[737, 543169]
[738, 544644]
[739, 546121]
[740, 547600]
[741, 549081]
[742, 550564]
[743, 552049]
[744, 553536]
[745, 555025]
[746, 556516]
[747, 558009]
[748, 559504]
[749, 561001]
[750, 562500]
[751, 564001]
[752, 565504]
[753, 567009]
[754, 568516]
[755, 5700
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m14.576s
user	0m12.020s
sys	0m2.560s


************** PARI *****************
Host 3(NXDOMAIN) (61.95.231.10)
Time: Fri Jun  4 03:54:53 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	0m0.076s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 159-134-232-210.as1.cbr.castlebar.eircom.net. (159.134.232.210)
Time: Fri Jun  4 06:07:59 2004

Input: sqrt(25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357)


Output: 1.587321910503912041744825086 E308

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host dns22b.dfas.mil. (207.133.248.241)
Time: Fri Jun  4 10:25:24 2004

Input: 2+2

Output: 4

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


************** PARI *****************
Host 3(NXDOMAIN) (83.130.186.80)
Time: Fri Jun  4 11:21:29 2004

Input: 124


Output: 124

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


************** PARI *****************
Host 3(NXDOMAIN) (83.130.186.80)
Time: Fri Jun  4 11:22:04 2004

Input: factor(124)



Output: 
[2 2]

[31 1]


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


************** PARI *****************
Host dsl-201-129-65-105.prod-infinitum.com.mx. (201.129.65.105)
Time: Fri Jun  4 19:03:30 2004

Input: 25*5


Output: 125

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


************** PARI *****************
Host dsl-201-129-65-105.prod-infinitum.com.mx. (201.129.65.105)
Time: Fri Jun  4 19:03:56 2004

Input: 25*5


Output: 125

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


************** PARI *****************
Host h-64-236-139-249.aoltw.net. (64.236.139.249)
Time: Fri Jun  4 20:07:14 2004

Input: a(x):=when(x<=1) 1; a(x-1); a(4);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: a(x):=when(x<=1)1;a(x-1);
                                   ^--------------------


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE000d8801ce25-CM014190003075.cpe.net.cable.rogers.com. (24.157.75.144)
Time: Fri Jun  4 22:30:47 2004

Input: 2^811-1

Output: 13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866047

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


************** PARI *****************
Host CPE000d8801ce25-CM014190003075.cpe.net.cable.rogers.com. (24.157.75.144)
Time: Fri Jun  4 22:31:07 2004

Input: factor(124151259832985239581)

Output: 
[3 1]

[29 1]

[59 1]

[109 1]

[221897990217973 1]


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


************** PARI *****************
Host srv1.zkma.net. (62.4.22.190)
Time: Sat Jun  5 01:15:45 2004

Input: P3<x> := PolynomialRing(GF(3));
f:=2*x^3+x^2+2*x+1;
Parent(f);

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: P3<x>:=PolynomialRing(GF(
                                   ^--------------------

  ***   unexpected character: f:=2*x^3+x^2+2*x+1;
                                ^-----------------

  ***   expected character: '=' instead of: Parent(f);
                                                     ^-


Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host math.u-strasbg.fr. (130.79.4.9)
Time: Sat Jun  5 02:13:27 2004

Input: 2^34


Output: 17179869184

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


************** PARI *****************
Host 3(NXDOMAIN) (213.135.247.69)
Time: Sat Jun  5 14:52:17 2004

Input: solve(x^3-x+1/8=0, x)

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: solve(x^3-x+1/8=0,x)
                                                   ^-------------


Timing:
real	0m0.079s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (213.135.247.69)
Time: Sat Jun  5 14:53:53 2004

Input: solve(x=0,1x^3-x+1/8)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: solve(x=0,1x^3-x+1/8)
                                                       ^----------


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


************** PARI *****************
Host 3(NXDOMAIN) (213.135.247.69)
Time: Sat Jun  5 14:54:03 2004

Input: solve(x=0,1, x^3-x+1/8)

Output: 
Errors (if any) and Timing Info:  ***   roots must be bracketed in solve.

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


************** PARI *****************
Host doc.its.unimelb.edu.au. (128.250.6.243)
Time: Sun Jun  6 06:24:28 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 doc.its.unimelb.edu.au. (128.250.6.243)
Time: Sun Jun  6 06:24:29 2004

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

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

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


************** PARI *****************
Host doc.its.unimelb.edu.au. (128.250.6.243)
Time: Sun Jun  6 06:24:33 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	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun  6 07:01:51 2004

Input: p 200
x=9999999999999999999999999999999840610140220260340380460580620741

sqrt(x)


Output: p200
9999999999999999999999999999999840610140220260340380460580620741
9.999999999999999999999999999 E31

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


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun  6 07:02:27 2004

Input: p400
x=9999999999999999999999999999999840610140220260340380460580620741

sqrt(x)


Output: p400
9999999999999999999999999999999840610140220260340380460580620741
9.999999999999999999999999999 E31

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


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun  6 07:06:40 2004

Input: sqrt(9999999999999999999999999999999840610140220260340380460580620741)



Output: 9.999999999999999999999999999 E31

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun  6 07:06:53 2004

Input: ?realprecision



Output: 
Errors (if any) and Timing Info:  ***   Timing:
realprecision: default.

Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun  6 07:08:20 2004

Input: p
Pi


Output: p
3.141592653589793238462643383

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


************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun  6 07:08:30 2004

Input: p 500
Pi


Output: p500
3.141592653589793238462643383

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


************** PARI *****************
Host 3(NXDOMAIN) (218.237.155.208)
Time: Sun Jun  6 21:42:34 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host beluga.di.transpac.fr. (195.6.68.65)
Time: Mon Jun  7 09:12:02 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host beluga.di.transpac.fr. (195.6.68.65)
Time: Mon Jun  7 09:12:08 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	0m0.068s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host asia.mat.univ.szczecin.pl. (212.14.9.48)
Time: Mon Jun  7 12:37:09 2004

Input: > E := EllipticCurve([0,0,1,0,-1]);
> Q, reps := IntegralPoints(E);
> Q;


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: >E:=EllipticCurve([0
                              ^--------------------

  ***   unexpected character: >Q,reps:=IntegralPoi
                              ^--------------------

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


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


************** PARI *****************
Host asia.mat.univ.szczecin.pl. (212.14.9.48)
Time: Mon Jun  7 12:47:37 2004

Input:  E := EllipticCurve([0,0,1,0,-1]);
 IntegralPoints(E);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: E:=EllipticCurve([0,0,
                                ^--------------------

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


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Tue Jun  8 08:00:55 2004

Input: gplist := procedure( g, ~gss, ~gsn, ~gsl )
        s := { Id(g) };
        t1 := [Id(g)];
        q1 := [0];
        n := NumberOfGenerators(g);
        gss := t1;
        gsn := q1;
        gsl := q1;
        u := [];
        for i := 1 to n  do
                u := u cat [g.i];
        end for;
        j := 0;
        more := true;
        while more do
                more := false;
                t2 := [];
                p2 := [];
                q2 := [];
                j := j+1;
                for k := 1 to n  do
                        for l := 1 to #(t1)  do
                                z := t1[l]*u[k];
                                if not ( z in s ) then
                                        s := s join { z };
                                        t2 := t2 cat [z];
                                        p2 := p2 cat [j];
                                        m := (10*q1[l])+k;
                                        q2 := q2 cat [m];
                                        more := true;
                                end if;
                        end for;
                end for;
                gss := gss cat t2;
                gsn := gsn cat p2;
                gsl := gsl cat q2;
                t1 := t2;
                q1 := q2;
        end while;
end procedure;
subgpl := procedure( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl )
        hss := [];
        hsn := [];
        hsl := [];
        for i := 1 to #(gss)  do
                if  gss[i] in h  then
                        hss := hss cat [gss[i]];
                        hsn := hsn cat [gsn[i]];
                        hsl := hsl cat [gsl[i]];
                end if;
        end for;
end procedure;
organi := procedure( g,hss,gss, h, ~trl, ~hcos )
        trl := [];
        hcos := [];
        g1 := {  };
        for i := 1 to #(gss)  do
         h1:={};       
         z := gss[i];
                if not (z in g1) then
                        for j:=1 to #(hss) do
                        z1:=hss[j]*z;
                        h1:=h1 join {z1};
                        end for;
                        hcos := hcos cat [h1];
                        trl := trl cat [z];
                        g1 := g1 join h1;
                end if;
        end for;
end procedure;
coords := procedure( v, ech, m, vs, k, n, ~vco, ~sco )
        vco := Zero(vs);
        zerok := k!0;
        sco := [ zerok : i in [ 1 .. n ] ];
        vv := v;
        for i := 1 to n  do
                echi := ech[i];
                for j := i to m  do
                        if echi[j] ne zerok then
                                if vv[j] ne zerok then
                                        vco[i] := vv[j];
                                        sco[i] := vv[j];
                                        vv :=  vv - (vv[j]*ech[i]);
                                end if;
                                break;
                        end if;
                end for;
        end for;
end procedure;
action := procedure( b, trl, hcos, k, m, glv, ~matg)
        zerok := k!0;
        onek := k!1;
        fullsq := [];
        zz := [ zerok : i in [ 1 .. m ] ];
        for i := 1 to m  do
                ww := zz;
                b1 := trl[i]*b;
                for j := 1 to m  do
                        if  b1 in hcos[j] then
                                ww[j] := onek;
                                break;
                        end if;
                end for;
                fullsq := fullsq cat ww;
        end for;
                matg :=glv!fullsq;
end procedure;
newech := procedure( vlst, m, k, ~ech )
        zerok := k!0;
        r := #(vlst);
        vl := [];
        for i := 1 to r  do
                vl := vl cat [vlst[i]];
        end for;
        z := [ 0 : i in [ 1 .. r ] ];
        zz := [ 0 : i in [ 1 .. r ] ];
        l := 0;
        for j := 1 to m  do
                for i := 1 to r  do
                        w := vl[i];
                        if (w[j] eq zerok) or (zz[i] ne 0) then
                                continue;
                        end if;
                        l := l+1;
                        z[l] := i;
                        zz[i] := l;
                        w := (w[j]^(-1))*vl[i];
                        vl[i] := w;
                        for i := 1 to r  do
                                w1 := vl[i];
                                if (w1[j] eq zerok) or (z[l] eq i) then
                                        continue;
                                end if;
                                vl[i] := vl[i] - (w1[j]*w) ;
                        end for;
                        break;
                end for;
                if l eq r then
                        break;
                end if;
        end for;
        ech := [];
        if l ne r then
                print "error in newech: vlst has size", r, " and dimension", l;
                return;
        end if;
        for i := 1 to r  do
                ech := ech cat [vl[z[i]]];
        end for;
end procedure;
k:= FiniteField( 101 );
min1k := -(k!1);
zerok := k!0;
v := VectorSpace(k, 4) ;
g := GeneralLinearGroup(v);
g<a1, a2, a3, a4> := sub< g |
[-1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1],
[1,1,0,0,0,-1,0,0,0,1,1,0,0,0,0,1],
[1,0,0,0,0,1,2,0,0,0,-1,0,0,0,1,1],
[1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,-1]>;
a16:=g![1,1,2,2,0,1,0,0,0,0,1,0,0,-1,-2,-1];

gid := sub<g| Identity(g) >;
h :=  sub< g | a1,a2,a3,a16 > ;
gplist( g, ~gss, ~gsn, ~gsl );
subgpl ( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl );
organi( g,hss,gss, h, ~trl, ~hcos );
m := #(trl);
print "gens = ", Ngens(g), " order = ", #(gss), " index = ", m;
vs :=  VectorSpace(k, m) ;
zz := Zero(vs);
glv := GeneralLinearGroup(vs);
gsq := [];
for i := 1 to Ngens(g)  do
action( g.i, trl,hcos, k, m, glv, ~matg);
gsq := gsq cat [matg];
end for;
h11 := sub<g | a3*a4*a3>;
print Order(h11);
print #(h meet h11);
subgp := procedure( gss, gsn, gsl, h11, ~h11ss, ~h11sn, ~h11sl )
        h11ss := [];
        h11sn := [];
        h11sl := [];
        for i := 1 to #(gss)  do
                if  gss[i] in h11  then
                        h11ss := h11ss cat [gss[i]];
                        h11sn := h11sn cat [gsn[i]];
                        h11sl := h11sl cat [gsl[i]];
                end if;
        end for;
end procedure;
organ := procedure( g,h11ss,gss, h11, ~ntrl, ~h11cos )
        ntrl := [];
        h11cos := [];
        g1 := {  };
        for i := 1 to #(gss)  do
                h1:={}; 
                z := gss[i];
                if not (z in g1) then
                        for j:=1 to #(h11ss) do
                        z1:=h11ss[j]*z;
                        h1:=h1 join {z1};
                        end for;
                        h11cos := h11cos cat [h1];
                        ntrl := ntrl cat [z];
                        g1 := g1 join h1;
                end if;
        end for;
end procedure;
subgp( gss, gsn, gsl, h11, ~h11ss, ~h11sn, ~h11sl );
organ ( g,h11ss,gss, h11, ~ntrl, ~h11cos );
vclst := [];
gplst := [];
for i := 1 to #(ntrl)  do
        gg := ntrl[i];
        cst:={};     
   for j:=1 to #(hss) do
        z2:= hss[j]*gg;    
        cst := cst join {z2};
    end for;    
        ww := zz;
        h12 := h11^gg;
        for x in h12 do
           cst2:=Setseq(cst); 
           cst1:={};
           for k:=1 to #(cst2) do
               z3:= cst2[k]*x;     
               cst1 := cst1 join {z3};
           end for;    
               pos := Position(hcos,cst1);
                if pos eq 0 then
                       print "error";
                else
                        pos1 := Position(gss, x);
                if (gsn[pos1] mod 2) eq 0 then
                                ww[pos] := ww[pos]+1;
                            else
                                ww[pos] := ww[pos]-1;
                end if;
            end if;     
      end for;
        vclst := vclst cat [ww];
        pos := Position(gss, gg);
        gplst := gplst cat [gsl[pos]];
end for;
ms :=  sub< vs | zz >;
vc1set := {  };
vc1lst := [];
msdim := 0;
for i := 1 to #(vclst)  do
        ww := vclst[i];
        ms := sub< vs | ms, ww >;
        msd := Dimension(ms);
        if msd gt msdim then
                msdim := msd;
                vc1set := vc1set join { vclst[i] };
                vc1lst := vc1lst cat [vclst[i]];
        end if;
end for;
vsb := sub< vs | vc1set >;
n := Dimension(vsb);
if echpar eq 0 then
        echa := EchelonForm(vc1set);
else
        newech( vc1lst, m, k, ~echa );
end if;
vsa := VectorSpace(k,n);
glva := GeneralLinearGroup(vsa);
mats := [];
for i := 1 to n  do
        coords( vc1lst[i], echa, m, vsa, k, n, ~vco, ~sco );
        mats := mats cat sco;
end for;
mata := glva!mats;
mata := mata^(-1);
gs1q := [];
for i := 1 to #(gsq)  do
        mats := [];
        for j := 1 to n  do
                vn := vc1lst[j]*gsq[i];
                coords( vn, echa, m, vsa, k, n, ~vco, ~sco );
                vn := vco*mata;
                for jj := 1 to n  do
                        sco[jj] := vn[jj];
                end for;
                mats := mats cat sco;
        end for;
        matg := glva!mats;
        gs1q := gs1q cat [matg];
end for;
cls := Classes(g);
fi := hom< g -> glv |gsq>;
fia := hom< g -> glva |gs1q>;
print "generators of subgroup h11";
for x in Generators(h11) do
        pos := Position(gss, x);
        print gsl[pos];
end for;
print" __________________________";
d1 := Seqset(trl);
d2 := Seqset(ntrl);
d3 := d1 meet d2;
K:=Classes(g);
for i:=1 to #(K) do
    gg:=K[i,3];
        pos := Position(gss, gg);
        print gsl[pos], Trace(fi(gg)), Trace((gg) @ fia);
end for;
print" __________________________";
if #(d3) eq n then
        print " H , H11  IS A PERFECT";
end if;
quit;


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

************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Tue Jun  8 09:58:15 2004

Input: L := SimpleLieAlgebra("G", 2, RationalField());
 R, Rv, fund, C:=RootSystem(L);
 R;


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

************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun  8 14:19:28 2004

Input: 1+3

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun  8 14:19:43 2004

Input: 1+3;

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


************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun  8 14:19:52 2004

Input: 1+3

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun  8 14:20:07 2004

Input: 1+3

Output: 4

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


************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun  8 14:20:23 2004

Input: 1000!

Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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


************** PARI *****************
Host webcacheB03a.cache.pol.co.uk. (195.92.168.165)
Time: Tue Jun  8 15:36:05 2004

Input: R<x,y,z,t,u,v>:=PolynomialRing(RationalField(),[1,2,3,4,5,6]);
M:=Matrix(R,2,4,x,y,z+x_0*(-b_4*y),u+x_0*(-c_9+c_10)*t-c_3*x^2*y-(c_6+c_8)*y^2,y,z+x_0*(a_1*x^2+a_2*y),t+x_0*(b_1*x^3+b_2*x*y+b_3*z),v+x_0*(c_1*x^5+c_2*x^2*y+c_4*x*y^2+c_5*x*t+c_7*u));

Output: 
Errors (if any) and Timing Info:  ***   unused characters: R<x,y,z,t,u,v>:=Polynom
                              ^--------------------

  ***   unexpected character: M:=Matrix(R,2,4,x,y,z+
                                ^--------------------


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host buster.nbg-hannover.de. (62.181.135.129)
Time: Wed Jun  9 12:23:19 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	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host p50814861.dip0.t-ipconnect.de. (80.129.72.97)
Time: Wed Jun  9 12:45:32 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	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host p50814861.dip0.t-ipconnect.de. (80.129.72.97)
Time: Wed Jun  9 12:45:50 2004

Input: nextPrime(1099)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: nextPrime(1099)
                                                        ^---------------


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


************** PARI *****************
Host p50814861.dip0.t-ipconnect.de. (80.129.72.97)
Time: Wed Jun  9 12:46:00 2004

Input: nextprime(1099)

Output: 1103

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


************** PARI *****************
Host dsl-082-082-050-244.arcor-ip.net. (82.82.50.244)
Time: Wed Jun  9 13:19:13 2004

Input: sin(2^100)


Output: 
Errors (if any) and Timing Info:  ***   loss of precision in mpsc1.

Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host adsl-62-167-119-107.adslplus.ch. (62.167.119.107)
Time: Wed Jun  9 13:23:38 2004

Input: 1+2

Output: 3

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


************** PARI *****************
Host adsl-62-167-119-107.adslplus.ch. (62.167.119.107)
Time: Wed Jun  9 13:24:04 2004

Input: root(2)

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


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


************** PARI *****************
Host d463c791.datahighways.de. (212.99.199.145)
Time: Wed Jun  9 21:04:33 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	0m0.056s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (80.146.215.18)
Time: Thu Jun 10 02:29:59 2004

Input: 23

Output: 23

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


************** PARI *****************
Host p3EE0DCD4.dip.t-dialin.net. (62.224.220.212)
Time: Thu Jun 10 05:29:05 2004

Input: sqrt(2)


Output: 1.414213562373095048801688724

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


************** PARI *****************
Host proxy305.docomo.ne.jp. (210.136.161.197)
Time: Thu Jun 10 08:13:57 2004

Input: qfbclassno(-23)

Output: 3

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host Q114012.ppp.dion.ne.jp. (61.204.114.12)
Time: Thu Jun 10 08:20:51 2004

Input: qfbclassno(-163)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host Q114012.ppp.dion.ne.jp. (61.204.114.12)
Time: Thu Jun 10 08:21:32 2004

Input: qfbclassno(-16300)


Output: 18

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


************** PARI *****************
Host fourier.maths.warwick.ac.uk. (137.205.232.115)
Time: Thu Jun 10 09:46:00 2004

Input: 1 + 3 ;

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


************** PARI *****************
Host fourier.maths.warwick.ac.uk. (137.205.232.115)
Time: Thu Jun 10 09:46:08 2004

Input: 1 + 3 ;

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


************** PARI *****************
Host fourier.maths.warwick.ac.uk. (137.205.232.115)
Time: Thu Jun 10 09:46:15 2004

Input: 1 + 3 

Output: 4

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


************** PARI *****************
Host rovaniemi.upc.es. (147.83.104.38)
Time: Thu Jun 10 09:53:54 2004

Input: 6/2

Output: 3

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


************** PARI *****************
Host 24-205-83-208.pas-eres.charterpipeline.net. (24.205.83.208)
Time: Fri Jun 11 02:09:44 2004

Input: (25-b)*n^2+(b+14)*n+6=0

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: (25-b)*n^2+(b+14)*n+6=0
                                                   ^--


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


************** PARI *****************
Host 24-205-83-208.pas-eres.charterpipeline.net. (24.205.83.208)
Time: Fri Jun 11 02:09:55 2004

Input: (25-b)*n^2+(b+14)*n+6

Output: (-n^2 + n)*b + (25*n^2 + 14*n + 6)

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


************** PARI *****************
Host io.math.uni-bonn.de. (131.220.120.25)
Time: Fri Jun 11 04:50:38 2004

Input: 3+5

Output: 8

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host io.math.uni-bonn.de. (131.220.120.25)
Time: Fri Jun 11 04:50:52 2004

Input: D(x^2,x)

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


Timing:
real	0m0.068s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host io.math.uni-bonn.de. (131.220.120.25)
Time: Fri Jun 11 04:51:05 2004

Input: D(x*x,x)

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


Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host px3nr.wp.shawcable.net. (24.66.94.142)
Time: Fri Jun 11 05:25:31 2004

Input: e^(-2/n)*(2/n)


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

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


************** PARI *****************
Host px3nr.wp.shawcable.net. (24.66.94.142)
Time: Fri Jun 11 05:25:43 2004

Input: e^(-2/n)(2/n)


Output: 
Errors (if any) and Timing Info:  ***   unused characters: e^(-2/n)(2/n)
                                   ^-----


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


************** PARI *****************
Host px3nr.wp.shawcable.net. (24.66.94.142)
Time: Fri Jun 11 05:26:16 2004

Input: e^(-2/n)(2/n)


Output: 
Errors (if any) and Timing Info:  ***   unused characters: e^(-2/n)(2/n)
                                   ^-----


Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 94.Red-80-37-182.pooles.rima-tde.net. (80.37.182.94)
Time: Fri Jun 11 10:51:43 2004

Input: 10363493751496848755102287778458179878677848198015161815799627268703605695789054212693415917935867478640528186076581281829910355993857786369104849219620379

Output: 10363493751496848755102287778458179878677848198015161815799627268703605695789054212693415917935867478640528186076581281829910355993857786369104849219620379

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:06 2004

Input: 123243**5436

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 123243**5436
                                     ^-----


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


************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:17 2004

Input: 123243^5436

Output: 2419096362585169178772061182691731665335454042705950713891613086096923714043221924041230268885386405061603606210454605840564699704678663873382848919210772516641235174735595493118124382993733787813366718258461087709144038509172757079206675229170396092664338136030794566367306748970271248977845758833729375265598400041526671876225537055222032413078701071479050738963970497111945343531236127758622470065885616446366301357728734736643976764695310306885846867379281607832821242147479129010447564059030116941273885347851672688313366999842116059164256179996338336250357424560837579034922640507243422162050692593224538221594992423777538375708669168678033126219894339085671572918059249466307853397082997123822156170478248364317481265166260955003018514586451412329714870088341089012390046023824391256940347318987007775372615604828380185495346350450157767560331029039234948732546009888051637616890574051423186182125824724037673522610726981956223861200356687518220870280434010536516476344636476978364168686040166380872505745633237149293634250146237399887640047037802459022302097152591255536466965639699333023453354637178088372797051223840127550778156856343585508547164493244143667353148906357413943001677596294192997310521609733783024478194771617539556765648459077912435428901336792355036303170781296512501339379177265248497105840183196964157478216396888220444342956969181025001791087497752221170000106826618129085636497697392878165275661848063580132472615768047231378635256031562898736803904409196389026741226368701623926510959051073393320970081740611732033090586565444019986187417931646124786150238562182056536183660231804780317261604907338563024043220541551372381819158966213190583084752811662955080185739427170618696158598100672849788949451527974703565341381754388598872263279002725140636574444569558036726090922150161712616104439028834465471851971180565980680044824038345879826155259938927194413434901537196685449474332862555427330966353416954372960906955277630586703123985716050542135429694737173942414515620297652612656334809316066939414284187776831886934475722011808428436242398238799652501164783567454846765090545247295351970417313649921934840704575665904654706617417154187883547699172644438547203070060539563837483537305362271150674610817935146586368761631559947452371523974143969497146212727046730954611449562233338235227253411446090117359368174354254646791175700424287991510485709601522261914903935009744248895049090824644798850205764660230688011164294818523915457901018426016897593099676635254962070845851181972417574347817768334046720957009022969762848327739709074999397007370243218371114904034847291366342411485750167920193202599279644267232507495369493435208040313996077940171695736645921730870455876130616557707261863993214768404445543226095182021622595732083306892837539558770758342795890014087483525424374191972865901446038491852353984738807385333626021720100946893882793067404256901435560708833960876111144808930725207297248112625952532107703550237209755985821718314446127742321895842080407462977533638816272027858921701280146023352156168078678096640923058471918051938027541555254847801817443374589890117992736345054915307756572176064311019232125031612308170991760130360613878033899209656633112272180327200323606321405962291589448972527740365641632147157531189949744250990938458262582957037393170605984272833723461063017626716711809581008507319486835603824778344348252000114894211866233462087565061873933463717562609795569174950742237295160430003491482917349713197335720581153973835784323501163071919140628956726304400507536453161783972478237400568041328421155383288001648368631866058082046571193814789359875255559023851364316082938451720284694063427398604523869254699345604293314296706170246770374651669964280354329454754947945262043864513341926609059549708159594995594071327023908728259249729087659211381169332405410710051657899801580044349313836719024210594875104034246836572529238204316031889580352538581054600527189553393609358552667441607868348100858904718652785266833412717170230716576655671534743231860865584858781811948595976476401051427369830412636789056254666449649457139907882956921906083912728756156694900229300660020048486792149966801669652409436368109485054772150920604297718242737999805774911781692608263080359781688745363858887510450848487571439118266319174217186493483230330025617960804405715619388213614150998406355801567657939804573788672346617862592294827373551451608245947390435459679702901715113193375568748039727662841770303237444349342036461158990858436611736709258343136513186201456321854185793336270139773752604770640177663705519713020115024303314041420207571355155202751415844626823879371310829205107887616697573103871299378399418815147242650336163853301988565034069875509734814662063366423605068801467481260768221392253491079709331466703817431903801426429762824743866811717614377198714282817114191788505705712298604827168543653082067251362774004510347791569232736139725040741512259135654881787598979316928465300806195281076477390043877482774896261080495390293030448122236407203999605193283845993770473564576648975476970449608892555944605134028775142953985008400018571026784527387494025070383414370988651028621688182016442586115183488531593678948938013905307261569090396548691580199849223135170125498238136865937802620460416754947374731221708133780674627466157902400830164903955941479150735837179747898881844298504088044657560394744027299767137405110179644595116450953950829747475962347526417563614192530116384825668013189851343021075760386421828088466229669610876105505958244579302898886548540988400438200150874981572933203347454524067417072657470473747813249340348617698667179283837705096104817134822496216577838807782941765365114799575519559380588910202527239353014070884584882715259320649569591071271949628575539086381068321054824510104874635700709849108575674587891127651114522133492942459216490590450041653918844628890328476201784460183865102535472555813773980326642231457020420640033893985866088059296485579962697262130960057918871286066783210971417856862585884170813124458614658490830967830925814278093426568135760272777369156202545489414808457990280546043584671329467302431186940162136574109077258494724354104589285835392415556596942089137469919535690839567374510583638721538823726959479786846736921750705850955647232714182101464214628219633023041910993763352981352252680233018499304598516756752228861594881578972477568886296290442021680630192548118908667668385933802687879111761008128822808451178990019681887761655447540678367049528116320628295615000999775398127401685483494205526971240368509346216281753791764522255882932049961544360254977473398964936747587992872794283171975538548907545484384367633596016271051088535533903713671950120132148256205588738842497741381898581477580164886460809894653226903406718624268893377695913860914842330480294784809258549902795159728360366098126422805571154069397856206368996932872337516391984803174786959384150789721906538839964431262488797986065778583450834249140567593118397117316678658418766987814068392190499514767105882824257203143444917561779491286455393246459900706130653930446469590518240655422071844377352232506999871913316250429043638952820342010210939511800327556630966786438916942959730509643493929623379401132166120245936721571703534460337622808466646250862651172398453678052146913050704534975049169507342436245435972845657478316918392670690545000584602007860363629381613202016230822419385590072886481077996572416631440112594290053330796494477353525620867213709323451232347337720761834536126260819485471969398276141821156359275556703312506935414342159376374372491726338097703282652447792944256362252428587760085272551817650990880677250908110518500502513989207633603354280414191584278000641877301291934772858690129569696107502100295502116722537612703874694925428904850237228993239838434646940218654377897579053229324936059442186339041421303688673435791175932341182022508171580942170312370927141625604153326990723135931632272541867521954425729394284885446983143428487038706406849654301672968738400905886970797262039818226722766701575737704174730407577583912479401029868215461775658561511156133607720748102735730693944134679050645162109288228237568235547618841953012713393856030585468581936684469824279490632350226520922590528248090725838684410523104803952901695706194422483624857388688065585812545519690847189286492077454632173990465035184667643150907780038825182747156232617698660054461696942824222952085997130033658180889393166670158206652191865151090158741879653731367504771037720449227166713746669940485099610101304276926893691505335909955269657803039036441523059963545418895440054641076201403374812186346128973820946716443787458013311530049640559920207741058129145005408058189530673579242687439593127825204203721820981591708936190331624388028350168093828629633928588103957657325509611363871799486596250568931161504140177259064450145789179422014369016807355759393110091158787647829176283440781599555490863602725992315273096849424383126587523320771099281116937581021158304998007330186349772439437837869773564892249327762433761628761899673702133111434068702573893771109424858499772111007730420592700565602622752195542452031032968127415024320504320458853527964249074336151862868547490163094510665468251941765384599945384839807524340671139738553320796304981334358106822906259883370670760500267791121428573124046209649767311131826979043223704763613863815585143491530203097852125677073868266089607445569075403935551764676883287203308898945091245005584165492948100782440935332418600848316423505539688964698053825400635955977042895258176991615461948180917462056031597633865714744400310070967623500440097183759122812686099230899099626906340824277222646665926410857992149851287206210469696052966268990679183426083331252984932874564928468853203598293841495895368078066099506894109947174534183931753956265230842882108559717645784139151623581134522306533431128818268049810644212351153883622840400803570010538976019126175524237745387406282986315935145771827375221885259077288285864911220110090522314831559438974532053
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.323s
user	0m0.250s
sys	0m0.070s


************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:48 2004

Input: 123243^543688

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.030s
user	0m20.840s
sys	0m0.160s


************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:59 2004

Input: 123243^5436

Output: 24190963625851691787720611826917316653354540427059507138916130860969237140432219240412302688853864050616036062104546058405646997046786638733828489192107725166412351747355954931181243829937337878133667182584610877091440385091727570792066752291703960926643381360307945663673067489702712489778457588337293752655984000415266718762255370552220324130787010714790507389639704971119453435312361277586224700658856164463663013577287347366439767646953103068858468673792816078328212421474791290104475640590301169412738853478516726883133669998421160591642561799963383362503574245608375790349226405072434221620506925932245382215949924237775383757086691686780331262198943390856715729180592494663078533970829971238221561704782483643174812651662609550030185145864514123297148700883410890123900460238243912569403473189870077753726156048283801854953463504501577675603310290392349487325460098880516376168905740514231861821258247240376735226107269819562238612003566875182208702804340105365164763446364769783641686860401663808725057456332371492936342501462373998876400470378024590223020971525912555364669656396993330234533546371780883727970512238401275507781568563435855085471644932441436673531489063574139430016775962941929973105216097337830244781947716175395567656484590779124354289013367923550363031707812965125013393791772652484971058401831969641574782163968882204443429569691810250017910874977522211700001068266181290856364976973928781652756618480635801324726157680472313786352560315628987368039044091963890267412263687016239265109590510733933209700817406117320330905865654440199861874179316461247861502385621820565361836602318047803172616049073385630240432205415513723818191589662131905830847528116629550801857394271706186961585981006728497889494515279747035653413817543885988722632790027251406365744445695580367260909221501617126161044390288344654718519711805659806800448240383458798261552599389271944134349015371966854494743328625554273309663534169543729609069552776305867031239857160505421354296947371739424145156202976526126563348093160669394142841877768318869344757220118084284362423982387996525011647835674548467650905452472953519704173136499219348407045756659046547066174171541878835476991726444385472030700605395638374835373053622711506746108179351465863687616315599474523715239741439694971462127270467309546114495622333382352272534114460901173593681743542546467911757004242879915104857096015222619149039350097442488950490908246447988502057646602306880111642948185239154579010184260168975930996766352549620708458511819724175743478177683340467209570090229697628483277397090749993970073702432183711149040348472913663424114857501679201932025992796442672325074953694934352080403139960779401716957366459217308704558761306165577072618639932147684044455432260951820216225957320833068928375395587707583427958900140874835254243741919728659014460384918523539847388073853336260217201009468938827930674042569014355607088339608761111448089307252072972481126259525321077035502372097559858217183144461277423218958420804074629775336388162720278589217012801460233521561680786780966409230584719180519380275415552548478018174433745898901179927363450549153077565721760643110192321250316123081709917601303606138780338992096566331122721803272003236063214059622915894489725277403656416321471575311899497442509909384582625829570373931706059842728337234610630176267167118095810085073194868356038247783443482520001148942118662334620875650618739334637175626097955691749507422372951604300034914829173497131973357205811539738357843235011630719191406289567263044005075364531617839724782374005680413284211553832880016483686318660580820465711938147893598752555590238513643160829384517202846940634273986045238692546993456042933142967061702467703746516699642803543294547549479452620438645133419266090595497081595949955940713270239087282592497290876592113811693324054107100516578998015800443493138367190242105948751040342468365725292382043160318895803525385810546005271895533936093585526674416078683481008589047186527852668334127171702307165766556715347432318608655848587818119485959764764010514273698304126367890562546664496494571399078829569219060839127287561566949002293006600200484867921499668016696524094363681094850547721509206042977182427379998057749117816926082630803597816887453638588875104508484875714391182663191742171864934832303300256179608044057156193882136141509984063558015676579398045737886723466178625922948273735514516082459473904354596797029017151131933755687480397276628417703032374443493420364611589908584366117367092583431365131862014563218541857933362701397737526047706401776637055197130201150243033140414202075713551552027514158446268238793713108292051078876166975731038712993783994188151472426503361638533019885650340698755097348146620633664236050688014674812607682213922534910797093314667038174319038014264297628247438668117176143771987142828171141917885057057122986048271685436530820672513627740045103477915692327361397250407415122591356548817875989793169284653008061952810764773900438774827748962610804953902930304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
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.363s
user	0m0.250s
sys	0m0.120s


************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:59:33 2004

Input: 123243^5436

Output: 2419096362585169178772061182691731665335454042705950713891613086096923714043221924041230268885386405061603606210454605840564699704678663873382848919210772516641235174735595493118124382993733787813366718258461087709144038509172757079206675229170396092664338136030794566367306748970271248977845758833729375265598400041526671876225537055222032413078701071479050738963970497111945343531236127758622470065885616446366301357728734736643976764695310306885846867379281607832821242147479129010447564059030116941273885347851672688313366999842116059164256179996338336250357424560837579034922640507243422162050692593224538221594992423777538375708669168678033126219894339085671572918059249466307853397082997123822156170478248364317481265166260955003018514586451412329714870088341089012390046023824391256940347318987007775372615604828380185495346350450157767560331029039234948732546009888051637616890574051423186182125824724037673522610726981956223861200356687518220870280434010536516476344636476978364168686040166380872505745633237149293634250146237399887640047037802459022302097152591255536466965639699333023453354637178088372797051223840127550778156856343585508547164493244143667353148906357413943001677596294192997310521609733783024478194771617539556765648459077912435428901336792355036303170781296512501339379177265248497105840183196964157478216396888220444342956969181025001791087497752221170000106826618129085636497697392878165275661848063580132472615768047231378635256031562898736803904409196389026741226368701623926510959051073393320970081740611732033090586565444019986187417931646124786150238562182056536183660231804780317261604907338563024043220541551372381819158966213190583084752811662955080185739427170618696158598100672849788949451527974703565341381754388598872263279002725140636574444569558036726090922150161712616104439028834465471851971180565980680044824038345879826155259938927194413434901537196685449474332862555427330966353416954372960906955277630586703123985716050542135429694737173942414515620297652612656334809316066939414284187776831886934475722011808428436242398238799652501164783567454846765090545247295351970417313649921934840704575665904654706617417154187883547699172644438547203070060539563837483537305362271150674610817935146586368761631559947452371523974143969497146212727046730954611449562233338235227253411446090117359368174354254646791175700424287991510485709601522261914903935009744248895049090824644798850205764660230688011164294818523915457901018426016897593099676635254962070845851181972417574347817768334046720957009022969762848327739709074999397007370243218371114904034847291366342411485750167920193202599279644267232507495369493435208040313996077940171695736645921730870455876130616557707261863993214768404445543226095182021622595732083306892837539558770758342795890014087483525424374191972865901446038491852353984738807385333626021720100946893882793067404256901435560708833960876111144808930725207297248112625952532107703550237209755985821718314446127742321895842080407462977533638816272027858921701280146023352156168078678096640923058471918051938027541555254847801817443374589890117992736345054915307756572176064311019232125031612308170991760130360613878033899209656633112272180327200323606321405962291589448972527740365641632147157531189949744250990938458262582957037393170605984272833723461063017626716711809581008507319486835603824778344348252000114894211866233462087565061873933463717562609795569174950742237295160430003491482917349713197335720581153973835784323501163071919140628956726304400507536453161783972478237400568041328421155383288001648368631866058082046571193814789359875255559023851364316082938451720284694063427398604523869254699345604293314296706170246770374651669964280354329454754947945262043864513341926609059549708159594995594071327023908728259249729087659211381169332405410710051657899801580044349313836719024210594875104034246836572529238204316031889580352538581054600527189553393609358552667441607868348100858904718652785266833412717170230716576655671534743231860865584858781811948595976476401051427369830412636789056254666449649457139907882956921906083912728756156694900229300660020048486792149966801669652409436368109485054772150920604297718242737999805774911781692608263080359781688745363858887510450848487571439118266319174217186493483230330025617960804405715619388213614150998406355801567657939804573788672346617862592294827373551451608245947390435459679702901715113193375568748039727662841770303237444349342036461158990858436611736709258343136513186201456321854185793336270139773752604770640177663705519713020115024303314041420207571355155202751415844626823879371310829205107887616697573103871299378399418815147242650336163853301988565034069875509734814662063366423605068801467481260768221392253491079709331466703817431903801426429762824743866811717614377198714282817114191788505705712298604827168543653082067251362774004510347791569232736139725040741512259135654881787598979316928465300806195281076477390043877482774896261080495390293030448122236407203999605193283845993770473564576648975476970449608892555944605134028775142953985008400018571026784527387494025070383414370988651028621688182016442586115183488531593678948938013905307261569090396548691580199849223135170125498238136865937802620460416754947374731221708133780674627466157902400830164903955941479150735837179747898881844298504088044657560394744027299767137405110179644595116450953950829747475962347526417563614192530116384825668013189851343021075760386421828088466229669610876105505958244579302898886548540988400438200150874981572933203347454524067417072657470473747813249340348617698667179283837705096104817134822496216577838807782941765365114799575519559380588910202527239353014070884584882715259320649569591071271949628575539086381068321054824510104874635700709849108575674587891127651114522133492942459216490590450041653918844628890328476201784460183865102535472555813773980326642231457020420640033893985866088059296485579962697262130960057918871286066783210971417856862585884170813124458614658490830967830925814278093426568135760272777369156202545489414808457990280546043584671329467302431186940162136574109077258494724354104589285835392415556596942089137469919535690839567374510583638721538823726959479786846736921750705850955647232714182101464214628219633023041910993763352981352252680233018499304598516756752228861594881578972477568886296290442021680630192548118908667668385933802687879111761008128822808451178990019681887761655447540678367049528116320628295615000999775398127401685483494205526971240368509346216281753791764522255882932049961544360254977473398964936747587992872794283171975538548907545484384367633596016271051088535533903713671950120132148256205588738842497741381898581477580164886460809894653226903406718624268893377695913860914842330480294784809258549902795159728360366098126422805571154069397856206368996932872337516391984803174786959384150789721906538839964431262488797986065778583450834249140567593118397117316678658418766987814068392190499514767105882824257203143444917561779491286455393246459900706130653930446469590518240655422071844377352232506999871913316250429043638952820342010210939511800327556630966786438916942959730509643493929623379401132166120245936721571703534460337622808466646250862651172398453678052146913050704534975049169507342436245435972845657478316918392670690545000584602007860363629381613202016230822419385590072886481077996572416631440112594290053330796494477353525620867213709323451232347337720761834536126260819485471969398276141821156359275556703312506935414342159376374372491726338097703282652447792944256362252428587760085272551817650990880677250908110518500502513989207633603354280414191584278000641877301291934772858690129569696107502100295502116722537612703874694925428904850237228993239838434646940218654377897579053229324936059442186339041421303688673435791175932341182022508171580942170312370927141625604153326990723135931632272541867521954425729394284885446983143428487038706406849654301672968738400905886970797262039818226722766701575737704174730407577583912479401029868215461775658561511156133607720748102735730693944134679050645162109288228237568235547618841953012713393856030585468581936684469824279490632350226520922590528248090725838684410523104803952901695706194422483624857388688065585812545519690847189286492077454632173990465035184667643150907780038825182747156232617698660054461696942824222952085997130033658180889393166670158206652191865151090158741879653731367504771037720449227166713746669940485099610101304276926893691505335909955269657803039036441523059963545418895440054641076201403374812186346128973820946716443787458013311530049640559920207741058129145005408058189530673579242687439593127825204203721820981591708936190331624388028350168093828629633928588103957657325509611363871799486596250568931161504140177259064450145789179422014369016807355759393110091158787647829176283440781599555490863602725992315273096849424383126587523320771099281116937581021158304998007330186349772439437837869773564892249327762433761628761899673702133111434068702573893771109424858499772111007730420592700565602622752195542452031032968127415024320504320458853527964249074336151862868547490163094510665468251941765384599945384839807524340671139738553320796304981334358106822906259883370670760500267791121428573124046209649767311131826979043223704763613863815585143491530203097852125677073868266089607445569075403935551764676883287203308898945091245005584165492948100782440935332418600848316423505539688964698053825400635955977042895258176991615461948180917462056031597633865714744400310070967623500440097183759122812686099230899099626906340824277222646665926410857992149851287206210469696052966268990679183426083331252984932874564928468853203598293841495895368078066099506894109947174534183931753956265230842882108559717645784139151623581134522306533431128818268049810644212351153883622840400803570010538976019126175524237745387406282986315935145771827375221885259077288285864911220110090522314831559438974532053
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.316s
user	0m0.210s
sys	0m0.110s


************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 11:00:03 2004

Input: 123243^54366

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.052s
user	0m20.860s
sys	0m0.150s


************** PARI *****************
Host 3(NXDOMAIN) (147.83.158.217)
Time: Fri Jun 11 12:34:34 2004

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

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

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


************** PARI *****************
Host 3(NXDOMAIN) (147.83.158.217)
Time: Fri Jun 11 12:35:38 2004

Input: /*
 *  An implementation of a search for a non-skewed NFS polynomial, based
 *  on Brian Murphy's thesis.
 *
 *  By Contini - May, 2000.
 *
 *  Please report bugs, improvements, and suggestions to
 *  [email protected]
 */



/*
 *  A polynomial for  n  can be reconstructed from its degree  d  and its
 *  value of  m1  (assuming  m2 = 1).    This function does that.
 */
function m1ToPoly( n, m1, d )

    rem := n;
    coeffs := [];
    for i := d to 0 by -1 do
        temp := m1^i;
        coeff := rem div temp;
        Append (~coeffs, coeff);
        rem -:= coeff*temp;
    end for;
 
    m1div2 := m1 div 2;
    /* adjust the coefficients to be between  -m1div2  and  m1div2  */
    for i := d+1 to 2 by -1 do
        if coeffs[i] gt m1div2 then
            coeffs[i] -:= m1;
            coeffs[i-1] +:= 1;
        end if;
    end for;
 
    P<X, Y> := PolynomialRing(Integers(), 2);
    F := P!0;
    for i in [0..d] do
        F +:= coeffs[i+1]*X^(d-i)*Y^i;
    end for;

    return F;
end function;



/*
 *  Compute  cont_p  (defined in section 3.2.1 of Murphy's thesis) of
 *  homogeneous polynomial  F  corresponding to univariate polynomial  f
 *  for the prime  p .  The following input values are required:
 *      - disc  should be the discriminant of  f .
 *      - bound is the size of the sample space to look through in
 *      order to estimate  cont_p  for the case of  p  dividing  disc .
 *      For example,  bound=10000  may be a good choice.
 */
function ComputeCont_p( p, disc, bound, F, f );
    if disc mod p eq 0 then
        /* estimate using some small sample space */
        cont_p := 0;
        upper_limit := bound^2;
        for i in [1..bound] do
            repeat
                a := Random( upper_limit );
                b := Random( upper_limit );
            until Gcd( a, b ) eq 1;
            value := Evaluate( F, [a, b] );
            while value mod p eq 0 do
                value div:= p;
                cont_p +:= 1;
            end while;
        end for;
        cont_p := cont_p / (0.0 + bound);
    else
        K := GF(p);
        roots_mod_p := Roots( f, K );
        q_p := #roots_mod_p;
        /* add in the contribution of the projective roots
         */
        d := Degree( f );
	if Coefficient(f, d) mod p eq 0 then
	    q_p +:= 1;
	end if;
            
        cont_p := q_p * p / (p * p - 1.0);
    end if;

    return cont_p;
end function;



/*
 *  Compute the  alpha  value corresponding to polynomial  F .  For
 *  primes  p  that divide the discriminant, do a random sampling of
 *  bound  elements to estimate  cont_p  (the expected exponent of
 *  prime  p  on the set of  F  values).  Include an early abort strategy:
 *  if by the time we reach  abort_p , the estimated  alpha  value is >
 *  abort_alpha  then stop the computation and return (the estimated)  alpha .
 *  If the early abort will not be used, then just set  abort_p  and
 *  abort_alpha  to 0.
 *  Function uses primes up to  max_p .
 */
function ComputeAlpha( F, bound, abort_p, abort_alpha, max_p );
 
    Q<X> := PolynomialRing(Integers());
    f := Q!Evaluate( F, [X, 1] );
 
    disc := Discriminant( f );
    a_d := Coefficient(f, Degree(f));
    primes := [p : p in [1..max_p] | IsPrime(p)];
 
    alpha := 0.0;
 
    for p in primes do
        cont_p := ComputeCont_p( p, disc, bound, F, f );
 
        alpha +:= (1.0/(p-1) - cont_p)*Log(p);
 
        /* early-abort strategy */
        if p eq abort_p and alpha gt abort_alpha then
            break;
        end if;
    end for;
 
    return alpha;
 
end function;


/*
 *  Compute  rho( x )  where  rho  is the Dickman rho function.
 *  This can be optimized by precomputing the coefficients of
 *  the polynomials and storing those coefficients for future calls.
 */
function DickmanRho( x );

    if x le 1.0 then
	return 1.0;
    end if;
    k := Ceiling( x );
    zeta := k - x;
 
 
    c := [];
    c[1] :=  1.0 - Log( 2.0 );
    for i in [1..54] do
	c[i+1] := 1.0 /(i * 2^i);
    end for;

    prev_c := [];
    l := 2;
    while l lt k do
	for i in [0..54] do
	    prev_c[i+1] := c[i+1];
	end for;

	for i in [1..54] do
	    sum := 0.0;

	    for j in [0..i-1] do
		sum := sum + prev_c[j+1]/(i * (l + 1.0)^(i-j) );
	    end for;

	    c[i+1] := sum;
	end for;

	sum := 0.0;
	for j in [1..54] do
	    sum +:= c[j+1]/( j + 1.0 );
	end for;
	c[1] := sum/l;

	l +:= 1;
    end while;
 
    rho_k := 0.0;
    for i in [0..54] do
	rho_k +:= c[i+1] * zeta^i;
    end for;

    return rho_k;

end function;


/*
 *  Quickly compute an approximation to the Dickman rho function.
 */
function ApproxDickmanRho( u );

    if u le 1.0 then
	return 1.0;
    end if;
    return u^-u;

end function;


/*
 *  Rate the polynomial pair  F1  and  F2 , where  F1  has degree  d
 *  and corresponding  alpha  value and  F2  is linear.  B1  and  B2
 *  represent upperbounds for the primes in the algebraic and rational
 *  factor bases, respectively.  High ratings tend to mean better
 *  polynomials.
 *
 *  Actually, we modify his rating method in 2 ways.
 *  First, we divide through by  K  (the number of intervals) so that
 *  the rating is not proportional to the number of intervals we choose.
 *  Second, we add in a  log B1^d  to the numerator of  u1  (which is
 *  equivalent to adding  d  to the whole quantity of  u1 ) so that the
 *  rho values are more typical of what will happen in practice.  A
 *  similar modification is done to the  u2  computation.
 */
function RatePolynomials( F1, F2, alpha, B1, B2, d )

    pi := Pi(RealField());
    K := 1000;

    rating := 0.0;
    logB1 := Log( B1 );
    logB2 := Log( B2 );
    for i in [1..K] do
	theta := pi/K*(i - 0.5);
	tmp := Abs( Evaluate( F1, [Cos( theta ), Sin( theta ) ] ) );
	u1 := ( Log( tmp ) + alpha ) / logB1 + d;
	tmp := Abs( Evaluate( F2, [Cos( theta ), Sin( theta ) ] ) );
	u2 := Log( tmp ) / logB2 + 1.0;
	rating +:= ApproxDickmanRho( u1 ) * ApproxDickmanRho( u2 );
    end for;

    return rating/K;

end function;



/*
 *  Let  X  be a sequence, where  X[i]  represents the ranking
 *  of the  i'th  best polynomial under some ranking scheme.  This
 *  function computes the correlation coefficient of the ranking scheme
 *  (i.e. it gives us an idea of how good the ranking scheme is).
 *
 *  for example, to compute the correlation coefficient of the E-rank
 *  in table 6.4 of Murphy's thesis, you would send in  X :=
 *  [ 1, 3, 6, 7, 2, 8, 4, 10, 5, 9, 15, 11, 18, 13, 12, 14, 17, 16 ] .
 *
 *  Remark: there seem to be small differences between Murphy's and my
 *  calculations.
 */
function CorrelationCoeff( X )
    /*  compute  eXY  =  expected value of  X * Y  where Y is identity
        perumtation */
    eXY := &+[X[i]*i: i in [1..#X]]/(#X + 0.0);
    eX := (#X+1.0)/2.0;
    eX2 := &+[X[i]*X[i]: i in [1..#X]]/(#X + 0.0);
    sigma := Sqrt( eX2 - eX*eX );
    return (eXY - eX*eX)/sigma^2;

end function;


/*
 *  Choose a leading coefficient for our polynomial.  We want this leading
 *  coefficient to have lots of small prime factors, and to be close to
 *  high_a_d .  This procedure uses randomness, so that we should get a
 *  new leading coefficient every time it is called (assuming it is not
 *  called too many times).
 */
function ChooseLeadingCoeff( high_a_d );

    /*  Start with some value for the leading coefficient  c  that has
     *  many small prime factors.  However, don't let this start value
     *  get too close to  high_a_d , since this can severely limit the
     *  number of unique leading coefficients we can get.
     */
    c := 32 * 27 * 25 * 49 ;
    c_limit := high_a_d div 300;
    if 10*c gt c_limit then
	c := 2 * 3 * 5 * 7;
	if 10*c gt c_limit then
	    c := 2 * 3;
	    if 10*c gt c_limit then
		c := 2;
	    end if;
	end if;
    end if;

    if high_a_d lt 1000 then
	primes := [2, 3, 5, 7, 11];
    else
	primes := [2, 3, 5, 7, 11, 13, 17, 19, 23, 29];
    end if;
    num_primes := #primes;

    min := high_a_d div 2;
    while c lt min do
	p := primes[ Random( 1, num_primes ) ];
	if c*p le high_a_d then
	    c := c * p;
	end if;
    end while;

    return c;

end function;


/*
 *  Let  n  be the number we want to factor.  This algorithm works
 *  something like Murphy's procedure 5.1.4 to find a good NFS polynomial.
 *  (though I've modified it to fit my own understanding, so there are
 *  definitely some differences from procedure 5.1.4).  Remark: this
 *  function alone randomly chooses one leading coefficient  a_d  for
 *  the polynomials being searched.  The user should try calling this
 *  several times so several leading coefficients are tried.
 *
 *  Returns a sequence of tuples which contain candidate polynomials and
 *  information about those candidates.  More precisely, the tuple has
 *  the following items (in this order):
 *	- the polynomial  F  ( F  is homogeneous).
 *	- a rating for the polynomial  F  (see 5.7 in Murphy's thesis).
 *      - the alpha value (see section 3.2.3 of Murphy's thesis) of candidate
 *	polynomial  F .
 *	- the  m1  value corresponding to polynomial  F (i.e  F(m1, m2) = n ).
 *	- the  m2  value corresponding to polynomial  F .  This function
 *	always has  m2=1 .
 *
 *  Description of input variables:
 *	n		the number we want to factor.
 *
 *	chi		only consider polynomials that have all their
 *			leading coefficients  <=  m1 * chi
 *
 *	max_k		for each choice of the leading coefficient, only
 *			consider polynomials whose  m1  lies within this
 *			range: [best_m1-max_k..best_m1+max_k] , where
 *			"best_m1" indicates the  m1  which minimizes the
 *			coefficient  a_{d-1}  of polynomial  F  (where  d
 *			is the degree of  F ).  This is used to limit the
 *			amount of time spent on a single leading coefficient.
 *			Also the number of  m1  considered may be even
 *			smaller than the range indicated above since some of
 *			these  m1  may correspond to a different leading
 *			coefficient.
 *
 *	max_alpha	The maximum value of  alpha  to allow for a polynomial
 *			to be a candidate.  Generally you want this to be
 *			a negative number, say -1.0 or smaller.  Values less
 *			than -3.0 are considered very good.
 *
 *	max_cands	maximum number of candidate polynomials to allow.
 *			(this is used to limit the amount of time spent
 *			on a single choice for the leading coefficient).
 *
 */
function PolySearch1( n, chi, max_k, max_alpha, max_cands );

    /* The set of return polynomials */
    candidates := [];

    /* select a degree according to the asymptotic formula */
    d := Round( Root( 3 * Log(n)/Log(Log(n)) , 3 ) );
print "degree ", d;
 
    /* Compute  B  - an upper bound for the factor base primes.  This
       will be used in Murphy's rating scheme for the candidate
       polynomials */
    dlogd := d*Log(d);
    temp := 1.0/d * Log( n );
    e := dlogd + Sqrt( dlogd^2 + 4*temp*Log(temp) );
    B := Round( Exp( 0.5*e ) );

    P<X, Y> := PolynomialRing(Integers(), 2);
 
    m2 := 1;
    /*  Need to choose  m1  between  n^[1/(d+1)]  and  n^[1/d] .
	Murphy's procedure 5.1.4 actually requests that  m1  is
	significantly larger than  n^[1/(d+1)].  (This is implied
	by the request that  a_d  is significantly smaller than its
	corresponding  m1 ).  We allow the lowest  m1  to be the
	geometric mean of these two values.  The use of the geomretic
	mean just seems to work well - it can be changed.
     */
    low_m1 := Iroot( Iroot( n, d+1 ) * Iroot( n, d ) , 2 );
    high_m1 := Iroot( n, d );
    low_a_d := n div high_m1^d;
    high_a_d := n div low_m1^d;
 
    c := ChooseLeadingCoeff( high_a_d );
print "using leading coeff ", c;
    a_d := c;
    if a_d lt low_a_d then
	a_d := ((low_a_d div c) + 1) * c;
    end if;

    /* The value of  m1  that causes  a_{d-1} to be minimized */
    best_m1 := Iroot( n div a_d, d );
    /* Determine  a_{d-1}  for this value of  best_m1 */
    a_dminus1 := (n - a_d*best_m1^d) div best_m1^(d-1);
    coeff_bound := Round( best_m1 * chi );
    /* we try values between values [best_m1-k...best_m1+k] */
    k := (coeff_bound - a_dminus1) div (a_d * d);

    if k gt max_k then
	k := max_k;
    end if;
print "k=",k;

    for m1 in [best_m1-k..best_m1+k] do

	rem := n;
	coeffs := [];
	for i := d to 0 by -1 do
	    temp := m1^i;
	    coeff := rem div temp;
	    Append (~coeffs, coeff);
	    rem -:= coeff*temp;
	end for;

	m1div2 := m1 div 2;
	/* adjust the coefficients to be between  -m1div2  and  m1div2  */
	for i := d+1 to 2 by -1 do
	    if coeffs[i] gt m1div2 then
		coeffs[i] -:= m1;
		coeffs[i-1] +:= 1;
	    end if;
	end for;
     
	/* check that the coefficients are sufficiently small */
	small_coeffs := true;
	for i in [1..#coeffs] do
	    if Abs( coeffs[i] ) gt coeff_bound then
		small_coeffs := false;
		break;
	    end if;
	end for;

	if small_coeffs eq false then
	    continue;
	end if;

	F := P!0;
	for i in [0..d] do
	    F +:= coeffs[i+1]*X^(d-i)*Y^i;
	end for;

	/* obtain a quick estimate for  alpha  */
	alpha := ComputeAlpha( F, 2500, 11, max_alpha+0.5, 100 );
print m1, alpha;

	if alpha le max_alpha then
	    /*  get a more accurate value for  alpha  */
	    alpha := ComputeAlpha( F, 10000, 0, 0, 2000 );
print "recomputed alpha: ", alpha;
	    if alpha gt max_alpha then
		continue;
	    end if;
	    /* create the linear polynomial */
	    F2 := X*m2 - Y*m1;
	    rating := RatePolynomials( F, F2, alpha, B, B, d );
	    Append( ~candidates, <F, rating, alpha, m1, m2> );
	    if #candidates eq max_cands then
		break;
	    end if;
print F;
print "";
	end if;

    end for;
    return candidates;
end function;





/*
 *  Let  n  be the number we want to factor.  This algorithm calls a
 *  function named PolySearch1() which is similar to Murphy's procedure 5.1.4
 *  to find a good NFS polynomial.  Each call to PolySearch1() uses a
 *  (hopefully) new leading coefficient, that is somewhat randomly chosen.
 *  Up to  max_leading_coeffs  will be tried.
 *
 *  Returns a sequence of tuples which contain candidate polynomials and
 *  information about those candidates.  More precisely, the tuple has
 *  the following items (in this order):
 *	- the polynomial  F  ( F  is homogeneous).
 *	- a rating for the polynomial  F  (see 5.7 in Murphy's thesis).
 *      - the alpha value (see section 3.2.3 of Murphy's thesis) of candidate
 *	polynomial  F .
 *	- the  m1  value corresponding to polynomial  F (i.e  F(m1, m2) = n ).
 *	- the  m2  value corresponding to polynomial  F .  This function
 *	always has  m2=1 .
 *
 *  Description of input variables:
 *	n		the number we want to factor.
 *
 *	chi		only consider polynomials that have all their
 *			leading coefficients  <=  m1 * chi
 *
 *	max_k		for each choice of the leading coefficient, only
 *			consider polynomials whose  m1  lies within this
 *			range: [best_m1-max_k..best_m1+max_k] , where
 *			"best_m1" indicates the  m1  which minimizes the
 *			coefficient  a_{d-1}  of polynomial  F  (where  d
 *			is the degree of  F ).  This is used to limit the
 *			amount of time spent on a single leading coefficient.
 *			Also the number of  m1  considered may be even
 *			smaller than the range indicated above since some of
 *			these  m1  may correspond to a different leading
 *			coefficient.
 *
 *	max_alpha	The maximum value of  alpha  to allow for a polynomial
 *			to be a candidate.  Generally you want this to be
 *			a negative number, say -1.0 or smaller.  Values less
 *			than -3.0 are considered very good.
 *
 *	max_cands	maximum number of candidate polynomials to allow.
 *			(this is used to limit the amount of time spent
 *			on a single choice for the leading coefficient).
 *
 */
function MurphyPolynomial1( n, chi, max_k, max_alpha, max_cands,
  max_leading_coeffs );

    candidates := [];
    for i in [1..max_leading_coeffs] do
	new_cands := PolySearch1( n, chi, max_k, max_alpha, max_cands );
	for j in [1..#new_cands] do
	    Append( ~candidates, new_cands[j] );
	end for;
	max_cands -:= #new_cands;
	if max_cands eq 0 then
	    break;
	end if;
    end for;

    return candidates;

end function;





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

************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:53:33 2004

Input: ?factor;

Output: factor(x,{lim}): factorization of x. lim is optional and can be set whenever x 
is of (possibly recursive) rational type. If lim is set return partial 
factorization, using primes up to lim (up to primelimit if lim=0).


Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:53:56 2004

Input: factor(11111111111111111);


Output: 
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: Fri Jun 11 12:54:06 2004

Input: factor(11111111111111111)



Output: 
[2071723 1]

[5363222357 1]


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


************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:54:37 2004

Input: factor(11111111111111111111111111111111111111111111111111111111111111111111111111111111111)



Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.031s
user	0m20.860s
sys	0m0.140s


************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:30:12 2004

Input: exp(pi)

Output: 1 + pi + 1/2*pi^2 + 1/6*pi^3 + 1/24*pi^4 + 1/120*pi^5 + 1/720*pi^6 + 1/5040*pi^7 + 1/40320*pi^8 + 1/362880*pi^9 + 1/3628800*pi^10 + 1/39916800*pi^11 + 1/479001600*pi^12 + 1/6227020800*pi^13 + 1/87178291200*pi^14 + 1/1307674368000*pi^15 + O(pi^16)

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


************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:31:11 2004

Input: exp(pi*srt(x))

Output: 
Errors (if any) and Timing Info:  ***   expected character: '=' instead of: exp(pi*srt(x))
                                                         ^-


Timing:
real	0m0.072s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:31:31 2004

Input: exp(pi*sqrt(x))

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

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


************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:32:57 2004

Input: exp(x)=2

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


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


************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:33:26 2004

Input: exp(x*x)

Output: 1 + x^2 + 1/2*x^4 + 1/6*x^6 + 1/24*x^8 + 1/120*x^10 + 1/720*x^12 + 1/5040*x^14 + O(x^16)

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


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:01:27 2004

Input: > // (inefficient) search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit

> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;



Output: exceededlimit

Errors (if any) and Timing Info:  ***   unexpected character: >//(inefficient)sear
                              ^--------------------

  ***   unexpected character: >n:=1000;
                              ^---------

  ***   unexpected character: >repeat
                              ^-------

  ***   incorrect type in comparison.
  ***   incorrect type in comparison.
  ***   expected character: '(' instead of: repeat|if>print"exceeded limi
                                                     ^--------------------

  ***   unexpected character: repeat>n+:=1;
                                       ^----

  ***   incorrect type in comparison.
  ***   expected character: '(' instead of: repeat|if>print"exceeded limi
                                                     ^--------------------

  ***   expected character: '(' instead of: repeat|if>break;
                                                     ^-------

  ***   expected character: '(' instead of: repeat|if>endif;
                                                     ^-------

  ***   unknown function or error in formal parameters: repeat>untilneq&+Prune(
  ***   Divisors(n));
        ^-------------

  ***   unexpected character: >p:=10037;
                              ^----------

  ***   unexpected character: >forxin[1..100]do
                              ^-----------------

  ***   expected character: '(' instead of: for>foryin[1..100]do
                                               ^-----------------

  ***   expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
                                               ^--------------------

  ***   expected character: '(' instead of: for|for|if>printx,y;
                                               ^-----------------

  ***   expected character: '(' instead of: for|for|if>break;
                                               ^--------------

  ***   expected character: '(' instead of: for|for|if>endif;
                                               ^--------------

  ***   expected character: '(' instead of: for|for>endfor;
                                               ^------------

  ***   expected character: '(' instead of: for>endfor;
                                               ^--------


Timing:
real	0m0.078s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:01:48 2004

Input: > // (inefficient) search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit

> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;



Output: exceededlimit

Errors (if any) and Timing Info:  ***   unexpected character: >//(inefficient)sear
                              ^--------------------

  ***   unexpected character: >n:=1000;
                              ^---------

  ***   unexpected character: >repeat
                              ^-------

  ***   incorrect type in comparison.
  ***   incorrect type in comparison.
  ***   unexpected character: repeat>n+:=1;
                                       ^----

  ***   incorrect type in comparison.
  ***   expected character: '(' instead of: repeat|if>print"exceeded limi
                                                     ^--------------------

  ***   expected character: '(' instead of: repeat|if>break;
                                                     ^-------

  ***   expected character: '(' instead of: repeat|if>endif;
                                                     ^-------

  ***   unknown function or error in formal parameters: repeat>untilneq&+Prune(
  ***   Divisors(n));
        ^-------------

  ***   unexpected character: >p:=10037;
                              ^----------

  ***   unexpected character: >forxin[1..100]do
                              ^-----------------

  ***   expected character: '(' instead of: for>foryin[1..100]do
                                               ^-----------------

  ***   expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
                                               ^--------------------

  ***   expected character: '(' instead of: for|for|if>printx,y;
                                               ^-----------------

  ***   expected character: '(' instead of: for|for|if>break;
                                               ^--------------

  ***   expected character: '(' instead of: for|for|if>endif;
                                               ^--------------

  ***   expected character: '(' instead of: for|for>endfor;
                                               ^------------

  ***   expected character: '(' instead of: for>endfor;
                                               ^--------


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


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:02:00 2004

Input: >  (inefficient) search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit

> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;



Output: exceededlimit

Errors (if any) and Timing Info:  ***   unexpected character: >(inefficient)search
                              ^--------------------

  ***   unexpected character: >n:=1000;
                              ^---------

  ***   unexpected character: >repeat
                              ^-------

  ***   incorrect type in comparison.
  ***   incorrect type in comparison.
  ***   unexpected character: repeat>n+:=1;
                                       ^----

  ***   incorrect type in comparison.
  ***   expected character: '(' instead of: repeat|if>print"exceeded limi
                                                     ^--------------------

  ***   expected character: '(' instead of: repeat|if>break;
                                                     ^-------

  ***   expected character: '(' instead of: repeat|if>endif;
                                                     ^-------

  ***   unknown function or error in formal parameters: repeat>untilneq&+Prune(
  ***   Divisors(n));
        ^-------------

  ***   unexpected character: >p:=10037;
                              ^----------

  ***   unexpected character: >forxin[1..100]do
                              ^-----------------

  ***   expected character: '(' instead of: for>foryin[1..100]do
                                               ^-----------------

  ***   expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
                                               ^--------------------

  ***   expected character: '(' instead of: for|for|if>printx,y;
                                               ^-----------------

  ***   expected character: '(' instead of: for|for|if>break;
                                               ^--------------

  ***   expected character: '(' instead of: for|for|if>endif;
                                               ^--------------

  ***   expected character: '(' instead of: for|for>endfor;
                                               ^------------

  ***   expected character: '(' instead of: for>endfor;
                                               ^--------


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


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:02:12 2004

Input:  search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit

> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;



Output: searchforthenextperfectnumberaboven
exceededlimit

Errors (if any) and Timing Info:  ***   unexpected character: >n:=1000;
                              ^---------

  ***   unexpected character: >repeat
                              ^-------

  ***   incorrect type in comparison.
  ***   incorrect type in comparison.
  ***   unexpected character: repeat>n+:=1;
                                       ^----

  ***   incorrect type in comparison.
  ***   expected character: '(' instead of: repeat|if>print"exceeded limi
                                                     ^--------------------

  ***   expected character: '(' instead of: repeat|if>break;
                                                     ^-------

  ***   expected character: '(' instead of: repeat|if>endif;
                                                     ^-------

  ***   unknown function or error in formal parameters: repeat>untilneq&+Prune(
  ***   Divisors(n));
        ^-------------

  ***   unexpected character: >p:=10037;
                              ^----------

  ***   unexpected character: >forxin[1..100]do
                              ^-----------------

  ***   expected character: '(' instead of: for>foryin[1..100]do
                                               ^-----------------

  ***   expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
                                               ^--------------------

  ***   expected character: '(' instead of: for|for|if>printx,y;
                                               ^-----------------

  ***   expected character: '(' instead of: for|for|if>break;
                                               ^--------------

  ***   expected character: '(' instead of: for|for|if>endif;
                                               ^--------------

  ***   expected character: '(' instead of: for|for>endfor;
                                               ^------------

  ***   expected character: '(' instead of: for>endfor;
                                               ^--------


Timing:
real	0m0.079s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:02:38 2004

Input:  search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit

> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;



Output: searchforthenextperfectnumberaboven
exceededlimit

Errors (if any) and Timing Info:  ***   unexpected character: >n:=1000;
                              ^---------

  ***   unexpected character: >repeat
                              ^-------

  ***   incorrect type in comparison.
  ***   incorrect type in comparison.
  ***   unexpected character: repeat>n+:=1;
                                       ^----

  ***   incorrect type in comparison.
  ***   expected character: '(' instead of: repeat|if>break;
                                                     ^-------

  ***   expected character: '(' instead of: repeat|if>endif;
                                                     ^-------

  ***   unknown function or error in formal parameters: repeat>untilneq&+Prune(
  ***   Divisors(n));
        ^-------------

  ***   unexpected character: >p:=10037;
                              ^----------

  ***   unexpected character: >forxin[1..100]do
                              ^-----------------

  ***   expected character: '(' instead of: for>foryin[1..100]do
                                               ^-----------------

  ***   expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
                                               ^--------------------

  ***   expected character: '(' instead of: for|for|if>printx,y;
                                               ^-----------------

  ***   expected character: '(' instead of: for|for|if>break;
                                               ^--------------

  ***   expected character: '(' instead of: for|for|if>endif;
                                               ^--------------

  ***   expected character: '(' instead of: for|for>endfor;
                                               ^------------

  ***   expected character: '(' instead of: for>endfor;
                                               ^--------


Timing:
real	0m0.071s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 08:51:34 2004

Input: gplist := procedure( g, ~gss, ~gsn, ~gsl )
        s := { Id(g) };
        t1 := [Id(g)];
        q1 := [0];
        n := NumberOfGenerators(g);
        gss := t1;
        gsn := q1;
        gsl := q1;
        u := [];
        for i := 1 to n  do
                u := u cat [g.i];
        end for;
        j := 0;
        more := true;
        while more do
                more := false;
                t2 := [];
                p2 := [];
                q2 := [];
                j := j+1;
                for k := 1 to n  do
                        for l := 1 to #(t1)  do
                                z := t1[l]*u[k];
                                if not ( z in s ) then
                                        s := s join { z };
                                        t2 := t2 cat [z];
                                        p2 := p2 cat [j];
                                        m := (10*q1[l])+k;
                                        q2 := q2 cat [m];
                                        more := true;
                                end if;
                        end for;
                end for;
                gss := gss cat t2;
                gsn := gsn cat p2;
                gsl := gsl cat q2;
                t1 := t2;
                q1 := q2;
        end while;
end procedure;
subgpl := procedure( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl )
        hss := [];
        hsn := [];
        hsl := [];
        for i := 1 to #(gss)  do
                if  gss[i] in h  then
                        hss := hss cat [gss[i]];
                        hsn := hsn cat [gsn[i]];
                        hsl := hsl cat [gsl[i]];
                end if;
        end for;
end procedure;
organi := procedure( g,hss,gss, h, ~trl, ~hcos )
        trl := [];
        hcos := [];
        g1 := {  };
        for i := 1 to #(gss)  do
                z := gss[i];
                 h1:={};
                if not (z in g1) then
                       for j:=1 to #(hss) do
                        z1:=hss[j]*z;
                        h1:=h1 join {z1};
                        end for;
                        hcos := hcos cat [h1];
                        trl := trl cat [z];
                        g1 := g1 join h1;
                end if;
        end for;
end procedure;
coords := procedure( v, ech, m, vs, k, n, ~vco, ~sco )
        vco := Zero(vs);
        zerok := k!0;
        sco := [ zerok : i in [ 1 .. n ] ];
        vv := v;
        for i := 1 to n  do
                echi := ech[i];
                for j := i to m  do
                        if echi[j] ne zerok then
                                if vv[j] ne zerok then
                                        vco[i] := vv[j];
                                        sco[i] := vv[j];
                                        vv :=  vv diff (vv[j]*ech[i]);
                                end if;
                                break;
                        end if;
                end for;
        end for;
end procedure;
action := procedure( b, trl, hcos, k, m, glv, ~matg)
        zerok := k!0;
        onek := k!1;
        fullsq := [];
        zz := [ zerok : i in [ 1 .. m ] ];
        for i := 1 to m  do
                ww := zz;
                b1 := trl[i]*b;
                for j := 1 to m  do
                        if  b1 in hcos[j] then
                                ww[j] := onek;
                                break;
                        end if;
                end for;
                fullsq := fullsq cat ww;
        end for;
                matg :=glv!fullsq;
end procedure;
newech := procedure( vlst, m, k, ~ech )
        zerok := k!0;
        r := #(vlst);
        vl := [];
        for i := 1 to r  do
                vl := vl cat [vlst[i]];
        end for;
        z := [ 0 : i in [ 1 .. r ] ];
        zz := [ 0 : i in [ 1 .. r ] ];
        l := 0;
        for j := 1 to m  do
                for i := 1 to r  do
                        w := vl[i];
                        if (w[j] eq zerok) or (zz[i] ne 0) then
                                continue;
                        end if;
                        l := l+1;
                        z[l] := i;
                        zz[i] := l;
                        w := (w[j]^(-1))*vl[i];
                        vl[i] := w;
                        for i := 1 to r  do
                                w1 := vl[i];
                                if (w1[j] eq zerok) or (z[l] eq i) then
                                        continue;
                                end if;
                                vl[i] := vl[i] diff (w1[j]*w) ;
                        end for;
                        break;
                end for;
                if l eq r then
                        break;
                end if;
        end for;
        ech := [];
        if l ne r then
                print "error in newech: vlst has size", r, " and dimension", l;
                return;
        end if;
        for i := 1 to r  do
                ech := ech cat [vl[z[i]]];
        end for;
end procedure;
k:= FiniteField( 101 );
min1k := -(k!1);
zerok := k!0;
v := VectorSpace(k, 2) ;
g := GeneralLinearGroup(v);
g<a1, a2> := sub< g |  [-1, 1, 0, 1],  
[1, 0, 1, -1]>;  
gid := Identity(g) ;
h :=  sub< g | a1> ;
print #(g);
print #(h);
gplist( g, ~gss, ~gsn, ~gsl );
subgpl ( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl );
organi( g,hss,gss, h, ~trl, ~hcos );
m := #(trl);
print "gens = ", Ngens(g), " order = ", #(gss), " index = ", m;
vs :=  VectorSpace(k, m) ;
zz := Zero(vs);
glv := GeneralLinearGroup(vs);
gsq := [];
for i := 1 to Ngens(g)  do
action( g.i, trl,hcos, k, m, glv, ~matg);
gsq := gsq cat [matg];
end for;
print trl;
quit;





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

************** PARI *****************
Host host-81-190-52-209.lublin.mm.pl. (81.190.52.209)
Time: Sun Jun 13 04:23:32 2004

Input: 17
19

Output: 17
19

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


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:13:27 2004

Input: factor (96880162584451340130465
)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...r(96880162584451340130465
                                                                        ^

  ***   unused characters: )
                           ^-


Timing:
real	0m0.078s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:13:35 2004

Input: factor(96880162584451340130465)

Output: 
[3 1]

[5 1]

[11 1]

[13 1]

[19 1]

[29 1]

[37 1]

[53 1]

[59 1]

[591499 1]

[1197767 1]


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


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:15:20 2004

Input: factor(111546435)

Output: 
[3 1]

[5 1]

[7 1]

[11 1]

[13 1]

[17 1]

[19 1]

[23 1]


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


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:32:09 2004

Input: factor(7455602825647884208337395736200454918783366342657)

Output: 
[7455602825647884208337395736200454918783366342657 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:40:18 2004

Input: factor(52352)

Output: 
[2 7]

[409 1]


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


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:40:58 2004

Input: factor(52352+2*261735)

Output: 
[2 1]

[13 1]

[22147 1]


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


************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:41:30 2004

Input: factor(52352+2^7*261735)

Output: 
[2 25]


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


************** PARI *****************
Host duvar.bilten.metu.edu.tr. (193.140.92.250)
Time: Mon Jun 14 11:11:09 2004

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

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

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


************** PARI *****************
Host massena-2-81-57-128-70.fbx.proxad.net. (81.57.128.70)
Time: Mon Jun 14 13:07:25 2004

Input: Q := RationalField();
Q;
IsFinite(Q);
qmlk;
AGCode;


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

  ***   expected character: '=' instead of: IsFinite(Q);
                                                       ^-


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host xm218.internetdsl.tpnet.pl. (80.55.220.218)
Time: Mon Jun 14 15:16:52 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	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host v9-p-199.valley.net. (198.115.167.199)
Time: Mon Jun 14 19:06:17 2004

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

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

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


************** PARI *****************
Host 3(NXDOMAIN) (195.117.151.40)
Time: Tue Jun 15 08:37:14 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	0m0.051s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (195.117.151.40)
Time: Tue Jun 15 08:38:19 2004

Input: 1111111

Output: 1111111

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


************** PARI *****************
Host janon.univ-st-etienne.fr. (161.3.1.42)
Time: Tue Jun 15 11:28:22 2004

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

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

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:21:23 2004

Input: contfrac(tan(x))

Output: [929569/638512875*x^15 + 21844/6081075*x^13 + 1382/155925*x^11 + 62/2835*x^9 + 17/315*x^7 + 2/15*x^5 + 1/3*x^3 + x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:21:49 2004

Input: contfrac(tanh(x))

Output: [-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:22:26 2004

Input: (tanh(x))

Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:24:19 2004

Input: (tanh(x),x)

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


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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:24:31 2004

Input: contfrac(tanh(x),x)

Output: 
Errors (if any) and Timing Info:  ***   incorrect type in contfrac0.

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:26:01 2004

Input: contfrac(tanh(x),1)

Output: [-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:26:38 2004

Input: f = tanh(x)
contfrac(f,1)

Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
[-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:26:47 2004

Input: f := tanh(x)
contfrac(f,1)

Output: [f]

Errors (if any) and Timing Info:  ***   unexpected character: f:=tanh(x)
                                ^--------


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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:05 2004

Input: f = tanh(x)
contfrac(f,1)

Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
[-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:17 2004

Input: f = tanh(x)
contfracpnqn(f,1)

Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: contfracpnqn(f,1)
                                                          ^---


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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:30 2004

Input: f = tanh(x)
contfracpnqn(f)

Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)

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

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:44 2004

Input: f = tanh(x)
contfracpnqn(contfrac(f))

Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)

[-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x 1]

[1 0]


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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:34:27 2004

Input: contfrac(tan(x),[1 1 1 1])

Output: [93886469/58046625*x^15 + 2206244/552825*x^13 + 139582/14175*x^11 + 68882/2835*x^9 + 18887/315*x^7 + 2222/15*x^5 + 1111/3*x^3 + 1111*x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:34:56 2004

Input: contfrac(tan(x),[1, 1, 1, 1])

Output: [929569/638512875*x^15 + 21844/6081075*x^13 + 1382/155925*x^11 + 62/2835*x^9 + 17/315*x^7 + 2/15*x^5 + 1/3*x^3 + x]

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


************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:35:11 2004

Input: contfrac(sin(x),[1, 1, 1, 1])

Output: [-1/1307674368000*x^15 + 1/6227020800*x^13 - 1/39916800*x^11 + 1/362880*x^9 - 1/5040*x^7 + 1/120*x^5 - 1/6*x^3 + x]

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 65-165-165-153.du.volcano.net. (65.165.165.153)
Time: Tue Jun 15 12:55:46 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	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 213-94-148-68.bas1.chf.cork.eircom.net. (213.94.148.68)
Time: Tue Jun 15 16:51:33 2004

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

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

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


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Tue Jun 15 18:55:05 2004

Input: factor(20050101)

Output: 
[3 2]

[2227789 1]


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


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Tue Jun 15 18:55:27 2004

Input: factor(20041231)

Output: 
[7 1]

[677 1]

[4229 1]


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


************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:24:05 2004

Input: 1 & 3

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.268s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:28:10 2004

Input: 1 & 0XF

Output: 
Errors (if any) and Timing Info:  ***   unused characters: 1&0XF
                              ^--


Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:28:50 2004

Input: 1 & F

Output: 1

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


************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:28:59 2004

Input: 1 & E

Output: 1

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


************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:29:08 2004

Input: 1 & 4

Output: 1

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


************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:29:17 2004

Input: 1 && 4

Output: 1

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


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:06:16 2004

Input: factor(6719191214356169351611915828935976306063961795617665117693268061849946173)

Output: 
[6719191214356169351611915828935976306063961795617665117693268061849946173 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.093s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:06:29 2004

Input: factor(93908811329570508550272588323170553)

Output: 
[93908811329570508550272588323170553 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:07:07 2004

Input: factor(630991260036281259886402316034303451956305235990182559344245148237900478535525502233923356202691031748643669 )

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.075s
user	0m20.950s
sys	0m0.050s


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:24:34 2004

Input: factor(1478708137106153319640812784944889979622168767628424208853893311341778989745187735902392909054237417103)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.991s
user	0m20.980s
sys	0m0.020s


************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:26:47 2004

Input: factor(323857890777093878716959589105483444373101014839588665920630418646295321595813394955010321130097403)

Output: 
[323857890777093878716959589105483444373101014839588665920630418646295321595813394955010321130097403 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.140s
user	0m0.130s
sys	0m0.010s


************** PARI *****************
Host 201-254-96-98.speedy.com.ar. (201.254.96.98)
Time: Wed Jun 16 13:43:47 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	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:02:17 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:02:35 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	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:02:54 2004

Input: 5/5


Output: 1

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


************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:03:18 2004

Input: 6694+9998

Output: 16692

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


************** PARI *****************
Host dyn-shp-225-24.dyn.columbia.edu. (160.39.225.24)
Time: Thu Jun 17 00:37:17 2004

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

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

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


************** PARI *****************
Host soleil.univ-fcomte.fr. (194.57.84.1)
Time: Thu Jun 17 05:46:57 2004

Input: > k<t>:= FunctionField(GF(2));
> R<x>:= PolynomialRing(k);
> f:= x^4 + t*x^2 + 2*t^4;
> G, r, p:= GaloisGroup(f);
> G;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: >k<t>:=FunctionField
                              ^--------------------

  ***   unexpected character: >R<x>:=PolynomialRin
                              ^--------------------

  ***   unexpected character: >f:=x^4+t*x^2+2*t^4;
                              ^--------------------

  ***   unexpected character: >G,r,p:=GaloisGroup(
                              ^--------------------

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


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


************** PARI *****************
Host host149-108.pool8248.interbusiness.it. (82.48.108.149)
Time: Thu Jun 17 08:48:46 2004

Input: 1531453

Output: 1531453

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host TYO112.gate.nec.co.jp. (202.32.8.234)
Time: Thu Jun 17 20:50:07 2004

Input:  RandomHEC_3_2:=procedure();
 K:=GF(2);
 P<x>:=PolynomialRing(K);
 S4:=car<K,K,K,K>;
 S7:=car<K,K,K,K,K,K,K>;
 a:=Random(S4);
 b:=Random(S7);
 h:=P!(a[1]+a[2]*x+a[3]*x^2+a[4]*x^3);
 f:=P!(b[1]+b[2]*x+b[3]*x^2+b[4]*x^3+b[5]*x^4+b[6]*x^5
 +b[7]*x^6+x^7);
 print IsHyperellipticCurve([f,h]);
 end procedure;
RandomHEC_3_2();


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: RandomHEC_3_2:=procedure();
                                            ^-------------

  ***   unexpected character: K:=GF(2);
                                ^-------

  ***   unexpected character: P<x>:=PolynomialRing(K);
                                  ^--------------------

  ***   unexpected character: S4:=car<K,K,K,K>;
                                 ^--------------

  ***   unexpected character: S7:=car<K,K,K,K,K,K,K>;
                                 ^--------------------

  ***   unexpected character: a:=Random(S4);
                                ^------------

  ***   unexpected character: b:=Random(S7);
                                ^------------

  ***   unexpected character: h:=P!(a[1]+a[2]*x+a[3]
                                ^--------------------

  ***   unexpected character: f:=P!(b[1]+b[2]*x+b[3]
                                ^--------------------

  ***   unused characters: +b[7]*x^6+x^7);
                                        ^--

  ***   unknown function or error in formal parameters: printIsHyperelliptic
                                                        ^--------------------

  ***   expected character: '=' instead of: RandomHEC_3_2();
                                                           ^-


Timing:
real	0m0.082s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host TYO111.gate.nec.co.jp. (202.32.8.233)
Time: Fri Jun 18 00:46:58 2004

Input: 1+1+9+7+67898;

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


************** PARI *****************
Host 4n25.math.upenn.edu. (130.91.51.128)
Time: Fri Jun 18 11:31:10 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	0m0.109s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:20:17 2004

Input: i:=chinese(Mod(2,3),Mod(0,5))


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: i:=chinese(Mod(2,3),Mo
                                ^--------------------


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


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:20:26 2004

Input: i=chinese(Mod(2,3),Mod(0,5))


Output: Mod(5, 15)

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


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:21:17 2004

Input: i=chinese(Mod(2,3),Mod(0,5))
i=chinese(i,Mod(5,7))
i=chinese(i,Mod(10,11))
i=chinese(i,Mod(4,13))
i=chinese(i,Mod(2,17))

Output: Mod(5, 15)
Mod(5, 105)
Mod(1055, 1155)
Mod(14915, 15015)
Mod(255155, 255255)

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


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:21:52 2004

Input: i=chinese(Mod(2,3),Mod(0,5))
i=chinese(i,Mod(5,7))
i=chinese(i,Mod(10,11))
i=chinese(i,Mod(4,13))
i=chinese(i,Mod(2,17))
i=chinese(i,Mod(14,19))

Output: Mod(5, 15)
Mod(5, 105)
Mod(1055, 1155)
Mod(14915, 15015)
Mod(255155, 255255)
Mod(4849745, 4849845)

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


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:22:50 2004

Input: i=chinese(Mod(0,3),Mod(1,5))
i=chinese(i,Mod(1,7))
i=chinese(i,Mod(8,11))
i=chinese(i,Mod(8,13))
i=chinese(i,Mod(7,17))
i=chinese(i,Mod(10,19))

Output: Mod(6, 15)
Mod(36, 105)
Mod(1086, 1155)
Mod(8016, 15015)
Mod(128136, 255255)
Mod(4722726, 4849845)

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


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 09:52:24 2004

Input: i=chinese(Mod(0,3),Mod(4,5))
i=chinese(i,Mod(3,7))
i=chinese(i,Mod(1,11))
i=chinese(i,Mod(5,13))
i=chinese(i,Mod(16,17))


Output: Mod(9, 15)
Mod(24, 105)
Mod(969, 1155)
Mod(2124, 15015)
Mod(2124, 255255)

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 09:53:02 2004

Input: i=chinese(Mod(0,2),Mod(0,5))
i=chinese(i,Mod(6,7))
i=chinese(i,Mod(2,11))
i=chinese(i,Mod(10,13))
i=chinese(i,Mod(16,17))


Output: Mod(0, 10)
Mod(20, 70)
Mod(90, 770)
Mod(6250, 10010)
Mod(46290, 170170)

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


************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 09:53:21 2004

Input: i=chinese(Mod(2,3),Mod(0,5))
i=chinese(i,Mod(6,7))
i=chinese(i,Mod(2,11))
i=chinese(i,Mod(10,13))
i=chinese(i,Mod(16,17))


Output: Mod(5, 15)
Mod(20, 105)
Mod(860, 1155)
Mod(11255, 15015)
Mod(131375, 255255)

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


************** PARI *****************
Host 100.pittsburgh-08rh16rt.pa.dial-access.att.net. (12.76.123.100)
Time: Sat Jun 19 21:02:35 2004

Input: ?print
?29


Output: print(a): outputs a (in raw format) ending with newline.


Errors (if any) and Timing Info:  ***   no such section in help: ?: 29
                                    ^--


Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (164.129.1.39)
Time: Sun Jun 20 02:30:46 2004

Input: 2^12

Output: 4096

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


************** PARI *****************
Host 3(NXDOMAIN) (164.129.1.39)
Time: Sun Jun 20 02:31:05 2004

Input: 1000!

Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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


************** PARI *****************
Host 24-119-164-223.cpe.cableone.net. (24.119.164.223)
Time: Sun Jun 20 09:58:09 2004

Input: 2^2^136

Output: 
Errors (if any) and Timing Info:  ***   impossible assignment I-->S

Timing:
real	0m4.012s
user	0m0.060s
sys	0m0.100s


************** PARI *****************
Host 3(NXDOMAIN) (151.96.0.8)
Time: Mon Jun 21 08:19:24 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	0m0.102s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host badiane.ens.fr. (129.199.98.43)
Time: Mon Jun 21 09:45:59 2004

Input: 3+4;


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


************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:39:26 2004

Input: factor(99999999999999999)

Output: 
[3 2]

[2071723 1]

[5363222357 1]


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


************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:40:49 2004

Input: factor(999999999999999999999999999999999999999999999)

Output: 
[3 4]

[31 1]

[37 1]

[41 1]

[271 1]

[238681 1]

[333667 1]

[2906161 1]

[4185502830133110721 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.113s
user	0m0.080s
sys	0m0.030s


************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:41:16 2004

Input: factor(999999999999999999999999999999999999999999999999999999999999999999)

Output: 
[3 3]

[7 1]

[11 2]

[13 1]

[23 1]

[37 1]

[67 1]

[4093 1]

[8779 1]

[21649 1]

[513239 1]

[599144041 1]

[183411838171 1]

[1344628210313298373 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.826s
user	0m0.720s
sys	0m0.110s


************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:42:11 2004

Input: factor(99999999999999999999999999999999999999999999999999999999999999999999999999999)

Output: 
[3 2]

[239 1]

[4649 1]

[5237 1]

[21649 1]

[42043 1]

[513239 1]

[29920507 1]

[136614668576002329371496447555915740910181043 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.157s
user	0m0.140s
sys	0m0.020s


************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:42:57 2004

Input: factor(999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.996s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 15:58:17 2004

Input: (a+b)*(a+b)


Output: a^2 + 2*b*a + b^2

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 15:58:50 2004

Input: (((a+b)*(a+b)+c)*a



Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: (((a+b)*(a+b)+c)*a
                                                              ^


Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 15:59:07 2004

Input: (((a+b)*(a+b)+c)*a) * b




Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:01:15 2004

Input: (((a+b)*(a+b)+c)*a) * b




Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:11:11 2004

Input: (((a+b)*(a+b)+c)*a) * b
a:=4





Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a

Errors (if any) and Timing Info:  ***   unexpected character: a:=4
                                ^--


Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:11:28 2004

Input: (((a+b)*(a+b)+c)*a) * b
a=4






Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a
4

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:11:44 2004

Input: 
a=4
(((a+b)*(a+b)+c)*a) * b







Output: 4
4*b^3 + 32*b^2 + (4*c + 64)*b

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:12:05 2004

Input: a=4 b=2
(((a+b)*(a+b)+c)*a) * b







Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a

Errors (if any) and Timing Info:  ***   unused characters: a=4b=2
                              ^---


Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:12:16 2004

Input: a=4
b=2
(((a+b)*(a+b)+c)*a) * b







Output: 4
2
8*c + 288

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:13:09 2004

Input: a=4
b=2
(a+b)/7








Output: 4
2
6/7

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:13:27 2004

Input: a=4
b=2
(a+b)/7+13/27 + 54/12 +1/3









Output: 4
2
2333/378

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host roam243-171.fas.harvard.edu. (140.247.243.171)
Time: Tue Jun 22 17:49:35 2004

Input: 2+2

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:09:48 2004

Input: a=4
b=2
(a+b)/7+13/27 + 54/12 +1/3 +23/171










Output: 4
2
45293/7182

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 183-79-131.ip.adsl.hu. (81.183.79.131)
Time: Tue Jun 22 19:13:49 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	0m0.050s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:14:43 2004

Input: a=4
b=2
(a+b)/7+13/27 + 54/12 +1/3 +23/171










Output: 4
2
45293/7182

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


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:14:59 2004

Input: a=4
b=2
9^9











Output: 4
2
387420489

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:15:38 2004

Input: a=4
b=2
9^9^9











Output: 4
2

Errors (if any) and Timing Info:
Timing:
real	0m21.004s
user	0m20.980s
sys	0m0.020s


************** PARI *****************
Host PCN114.MI.Uni-Koeln.DE. (134.95.214.114)
Time: Wed Jun 23 12:00:02 2004

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

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

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


************** PARI *****************
Host Mix-Tours-111-3-13.w80-9.abo.wanadoo.fr. (80.9.58.13)
Time: Wed Jun 23 12:16:15 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	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host flash.visit.se. (212.214.112.51)
Time: Wed Jun 23 12:46:58 2004

Input: p 100
Pi


Output: p100
3.141592653589793238462643383

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


************** PARI *****************
Host 99-168-89-200.fibertel.com.ar. (200.89.168.99)
Time: Wed Jun 23 12:54:53 2004

Input: factor(20)

Output: 
[2 2]

[5 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host adsl-222-52-66.msy.bellsouth.net. (68.222.52.66)
Time: Wed Jun 23 20:10:01 2004

Input: int(x/(x^3+1),x)

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: int(x/(x^3+1),x)
                                                 ^-----------


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


************** PARI *****************
Host ip68-1-108-75.pn.at.cox.net. (68.1.108.75)
Time: Thu Jun 24 01:44:29 2004

Input: int(x,x)

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


Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host ip68-1-108-75.pn.at.cox.net. (68.1.108.75)
Time: Thu Jun 24 01:44:38 2004

Input: int(12)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: int(12)
                                                        ^-------


Timing:
real	0m0.049s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host pD9FF35A8.dip.t-dialin.net. (217.255.53.168)
Time: Thu Jun 24 17:53:10 2004

Input: P<x> := PolynomialRing(IntegerRing());
P;


Factorization(x^254 + 1);

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

  ***   expected character: ',' instead of: Factorization(x^254+1);
                                                           ^--------


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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Fri Jun 25 04:33:51 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:41:57 2004

Input: 9501438237425119273

Output: 9501438237425119273

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


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:42:17 2004

Input: factor(9501438237425119273)

Output: 
[2759873867 1]

[3442707419 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.087s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:42:35 2004

Input: factor(9501438237425119273)

Output: 
[2759873867 1]

[3442707419 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:42:53 2004

Input: factor(182028035353848708594075846722780132041)

Output: 
[12080930389350313619 1]

[15067385498248681139 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.615s
user	0m0.530s
sys	0m0.070s


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:43:28 2004

Input: factor(1306519970120617431813075692139401793100104367043472324667921)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.996s
user	0m20.950s
sys	0m0.060s


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:44:08 2004

Input: factor(870138153109350498796232279092074938593555922630289673)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.036s
user	0m20.690s
sys	0m0.310s


************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:44:27 2004

Input: factor(850482826348650430090853202264790975534614601)

Output: 
[28214821916443477327643 1]

[30143122252102278297707 1]


Errors (if any) and Timing Info:
Timing:
real	0m2.534s
user	0m2.350s
sys	0m0.180s


************** PARI *****************
Host 3(NXDOMAIN) (203.195.105.34)
Time: Fri Jun 25 17:14:27 2004

Input: fsolve(poly(cos(Pi/13)))

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: fsolve(poly(cos(Pi/13)))
                                  ^-----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: poly(x,v) ===> Pol(x,v)

Pol(x,{v=x}): convert x (usually a vector or a power series) into a polynomial 
with variable v, starting with the leading coefficient.



Timing:
real	0m0.078s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:07:52 2004

Input: factor(3195981379584448522341974688808361163303854932209686092870505614398770919051791)

Output: 
[3195981379584448522341974688808361163303854932209686092870505614398770919051791 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.102s
user	0m0.080s
sys	0m0.020s


************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:05 2004

Input: factor(495180738797335607630501803)

Output: 
[495180738797335607630501803 1]


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


************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:15 2004

Input: factor(75079591361986744553105725858443190109552529947254157878222972999835280327819906779)

Output: 
[75079591361986744553105725858443190109552529947254157878222972999835280327819906779 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.106s
user	0m0.090s
sys	0m0.020s


************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:26 2004

Input: factor(17478280431202086397405680487)

Output: 
[17478280431202086397405680487 1]


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


************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:30 2004

Input: factor(174782804312020863974056804871)

Output: 
[79 1]

[701 1]

[4241 1]

[65353 1]

[11387274582028613 1]


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


************** PARI *****************
Host KHP222009073098.ppp-bb.dion.ne.jp. (222.9.73.98)
Time: Sat Jun 26 10:37:51 2004

Input: x:=13;
y := x^2-2;
x, y;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x:=13;
                                ^----

  ***   unexpected character: y:=x^2-2;
                                ^-------

  ***   unused characters: x,y;
                            ^---


Timing:
real	0m0.109s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (217.117.66.246)
Time: Sat Jun 26 13:26:14 2004

Input: arcsin30

Output: arcsin30

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:35:19 2004

Input: factor(15)

Output: 
[3 1]

[5 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:35:58 2004

Input: factor(561)

Output: 
[3 1]

[11 1]

[17 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:36:58 2004

Input: factor(1434367565686897)

Output: 
[67679 1]

[21193687343 1]


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


************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:37:17 2004

Input: factor(21193687343)

Output: 
[21193687343 1]


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


************** PARI *****************
Host 81-86-74-19.dsl.pipex.com. (81.86.74.19)
Time: Sat Jun 26 19:09:47 2004

Input: 2^128

Output: 340282366920938463463374607431768211456

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


************** PARI *****************
Host dsl-linz7-17-188.utaonline.at. (81.189.17.188)
Time: Sat Jun 26 19:22:11 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 3(NXDOMAIN) (210.98.29.190)
Time: Mon Jun 28 02:56:35 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	0m0.074s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:39:56 2004

Input: factor(15657240180871560861397889472511)

Output: 
[15657240180871560861397889472511 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.228s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:40:07 2004

Input: factor(30276696807247563131834157051474945924672208419575110084039590168346878944291)

Output: 
[30276696807247563131834157051474945924672208419575110084039590168346878944291 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.095s
user	0m0.080s
sys	0m0.020s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:44:55 2004

Input: factor(92191282147576282327046626507)

Output: 
[92191282147576282327046626507 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:45:04 2004

Input: factor(60190781096843889180574332791736121345192818031460980236899860552367407255842519233590853)

Output: 
[60190781096843889180574332791736121345192818031460980236899860552367407255842519233590853 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.123s
user	0m0.110s
sys	0m0.010s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:45:38 2004

Input: factor(382769764368870914299196165382289700653587785053094460543806339515936501231866338145853172758279698259)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.993s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:46:55 2004

Input: factor(750443539998324866431514753)

Output: 
[750443539998324866431514753 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:47:02 2004

Input: factor(15496423364276826364201302573184309145049941443740046685989420103)

Output: 
[15496423364276826364201302573184309145049941443740046685989420103 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.085s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host d213-102-220-207.cust.tele2.fr. (213.102.220.207)
Time: Mon Jun 28 14:02:38 2004

Input: 
R=QQ[x_0..x_2]
I1=ideal(x_0,x_1) ---- the point [0,0,1]
I2=ideal(x_0,x_2) ---- the point [0,1,0]
I3=ideal(x_2,x_1) ---- the point [1,0,0]
I=intersect(I1,I2,I3)  --- the ideal of the three points

hilbertSeries I       --- the power series generating function 

Output: hilbertSeriesI + (-thepowerseriesgeneratingfunction - 1)

Errors (if any) and Timing Info:  ***   expected character: ']' instead of: R=QQ[x_0..x_2]
                                                       ^---

  ***   unexpected character: I1=ideal(x_0,x_1)----thepoint[0,0,1]
                                                 ^-----------------

  ***   unexpected character: I2=ideal(x_0,x_2)----thepoint[0,1,0]
                                                 ^-----------------

  ***   unexpected character: I3=ideal(x_2,x_1)----thepoint[1,0,0]
                                                 ^-----------------

  ***   unexpected character: I=intersect(I1,I2,I3)
                               ^--------------------


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host Becarios.math.nd.edu. (129.74.203.218)
Time: Mon Jun 28 20:14:58 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	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (202.62.138.196)
Time: Tue Jun 29 03:28:28 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	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host Toronto-HSE-ppp3694960.sympatico.ca. (65.95.88.59)
Time: Tue Jun 29 21:34:23 2004

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

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

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


************** PARI *****************
Host proxy1.bezeqint.net. (192.115.106.236)
Time: Tue Jun 29 23:01:08 2004

Input: phi(1345)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: phi(1345)
                           ^---------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: phi(x) ===> eulerphi(x)

eulerphi(x): Euler's totient function of x.



Timing:
real	0m0.086s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host pcd369143.netvigator.com. (203.218.159.143)
Time: Wed Jun 30 02:49:32 2004

Input: gfgfg

Output: gfgfg

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


************** PARI *****************
Host 3(NXDOMAIN) (80.253.171.75)
Time: Wed Jun 30 07:58:52 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	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (80.253.171.75)
Time: Wed Jun 30 07:58:59 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	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (80.253.171.75)
Time: Wed Jun 30 07:59:08 2004

Input: 25

Output: 25

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


************** PARI *****************
Host wlan-112-154.zfn.uni-bremen.de. (134.102.112.154)
Time: Thu Jul  1 02:23:22 2004

Input: fif

Output: fif

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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:33:24 2004

Input: a+b

Output: a + b

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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:34:04 2004

Input: [1 2;3 4]+[ 4 3;2 1]

Output: 
[55]

[55]


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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:34:21 2004

Input: [1 2;3 4]+[ 4 3;2 1]

Output: 
[55]

[55]


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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:34:45 2004

Input: [a b;c d]+[d c;b a]

Output: 
[ab + dc]

[cd + ba]


Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:35:24 2004

Input: [a b;c d]*[d c;b a]

Output: 
Errors (if any) and Timing Info:  ***   impossible multiplication t_MAT * t_MAT.

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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:35:43 2004

Input: [a b;c d]+[d c;b a]

Output: 
[ab + dc]

[cd + ba]


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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:37:00 2004

Input: [a b;c d]+[d c;b a]

Output: 
[ab + dc]

[cd + ba]


Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:37:05 2004

Input: [a b;c d]*[d c;b a]

Output: 
Errors (if any) and Timing Info:  ***   impossible multiplication t_MAT * t_MAT.

Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:37:41 2004

Input: [1 2
3 4]+[ 4 3
2 1]

Output: 
Errors (if any) and Timing Info:  ***   ; or ] expected: [12
                            ^

  ***   unused characters: 34]+[43
                             ^-----

  ***   unused characters: 21]
                             ^-


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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:38:01 2004

Input: [1 2]
[3 4]+[ 4 3]
[2 1]

Output: [12]
[77]
[21]

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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:39:34 2004

Input: X := Matrix(IntegerRing(), 2, 2, [1,2, 3,4]);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: X:=Matrix(IntegerRing(
                                ^--------------------


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


************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul  1 04:42:19 2004

Input: X := Matrix(IntegerRing(), 2, 2, [a,b, c,d]);
y := Matrix(IntegerRing(), 2, 2, [d,c, b,a]);
X

Output: X

Errors (if any) and Timing Info:  ***   unexpected character: X:=Matrix(IntegerRing(
                                ^--------------------

  ***   unexpected character: y:=Matrix(IntegerRing(
                                ^--------------------


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


************** PARI *****************
Host library.mk.farlep.net. (213.130.12.237)
Time: Thu Jul  1 08:28:45 2004

Input: df453454354567

Output: df453454354567

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


************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul  1 10:25:09 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul  1 10:25:37 2004

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

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

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


************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul  1 10:31:09 2004

Input: 5+13

Output: 18

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


************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul  1 10:31:40 2004

Input: 3423423423523324/111

Output: 3423423423523324/111

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


************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul  1 10:32:03 2004

Input: 3423423423523324* 12312


Output: 42149189190419165088

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


************** PARI *****************
Host c1-3-4.rz.ruhr-uni-bochum.de. (134.147.64.24)
Time: Thu Jul  1 11:10:12 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	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host dmzfaylf.cse.l-3com.com. (166.20.19.51)
Time: Thu Jul  1 14:27:47 2004

Input: 111111111 x 111111111 =


Output: 
Errors (if any) and Timing Info:  ***   unused characters: 111111111x111111111=
                                    ^-----------


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:26:52 2004

Input: ? 2*3

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	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:28:15 2004

Input: 2*3

Output: 6

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:37:36 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(((3^n)-1)%a!=0)
{
 n=n+1;
}
print a,b,c;

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

************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:38:24 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(((3^n)-1)!= 0 mod(a))
{
 n=n+1;
}
print a,b,c;

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: while(((3^n)-1)!=0mod(a))
                                                              ^-------

  ***   unused characters: printa,b,c;
                                 ^-----


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:40:19 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(mod(((3^n)-1),a) != 0)
{
 n=n+1;
}
print(a);
print(b);
print(c);

Output: 2047
2
c

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: while(mod(((3^n)-1),a)!=0)
                                                                     ^-


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:41:36 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0)
{
 n=n+1;
}
print(a);
print(b);
print(c);

Output: 2047
2
c

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: while(Mod(((3^n)-1),a)!=0)
                                                                     ^-


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:41:49 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0)
{
 n=n+1;
}
print(a);
print(b);
print(n);

Output: 2047
2
2

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: while(Mod(((3^n)-1),a)!=0)
                                                                     ^-


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:43:00 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0)
{
 n=n+1;
);
print(a);
print(b);
print(n);

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: while(Mod(((3^n)-1),a)!=0)
                                                                     ^-

  ***   unused characters: n=n+1;);print(a);print(b);
                                 ^--------------------


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:43:41 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0,

 n=n+1;
);
print(a);
print(b);
print(n);

Output: 2047
2
2

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...hile(Mod(((3^n)-1),a)!=0,
                                                                        ^

  ***   unused characters: );
                           ^--


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:44:08 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) ,

 n=n+1;
);
print(a);
print(b);
print(n);

Output: 2047
2
2

Errors (if any) and Timing Info:  ***   expected character: ')' instead of: while(Mod(((3^n)-1),a),
                                                                   ^

  ***   unused characters: );
                           ^--


Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:46:09 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while Mod(((3^n)-1),a) != 0 do

 n=n+1;
end while
print(a);
print(b);
print(n);

Output: endwhile
2047
2
2

Errors (if any) and Timing Info:  ***   unused characters: whileMod(((3^n)-1),a)!=0do
                                                   ^--


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:46:36 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while Mod(((3^n)-1),a) != 0 do

 n=n+1;
end while
print(a);
print(b);
print(n);

Output: endwhile
2047
2
2

Errors (if any) and Timing Info:  ***   unused characters: whileMod(((3^n)-1),a)!=0do
                                                   ^--


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul  1 21:46:50 2004

Input: a=2047;
n=1;
b=(3^n) - 1;
while Mod(((3^n)-1),a) != 0 do

 n=n+1;
end while;

print(a);
print(b);
print(n);

Output: 2047
2
2

Errors (if any) and Timing Info:  ***   unused characters: whileMod(((3^n)-1),a)!=0do
                                                   ^--


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


************** PARI *****************
Host barolo-gw.osaka-gu.ac.jp. (210.163.44.76)
Time: Fri Jul  2 00:09:16 2004

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

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

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


************** PARI *****************
Host barolo-gw.osaka-gu.ac.jp. (210.163.44.76)
Time: Fri Jul  2 00:10:53 2004

Input: nextprime(10^1000)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.001s
user	0m20.950s
sys	0m0.050s


************** PARI *****************
Host barolo-gw.osaka-gu.ac.jp. (210.163.44.76)
Time: Fri Jul  2 00:12:01 2004

Input: nextprime(10^10)

Output: 10000000019

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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul  2 08:36:05 2004

Input: 19475347766081839597610171633433912439406404786126941166738797347

Output: 19475347766081839597610171633433912439406404786126941166738797347

Errors (if any) and Timing Info:
Timing:
real	0m0.143s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul  2 08:36:19 2004

Input: factor(19475347766081839597610171633433912439406404786126941166738797347)

Output: 
[19475347766081839597610171633433912439406404786126941166738797347 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul  2 08:36:26 2004

Input: factor(2001700036961160150104009419)

Output: 
[2001700036961160150104009419 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul  2 08:36:32 2004

Input: factor(252390868613930971196418746042261077838969195392269931528262392170539)

Output: 
[252390868613930971196418746042261077838969195392269931528262392170539 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul  2 08:36:41 2004

Input: factor(806083271688154958515880951639)

Output: 
[806083271688154958515880951639 1]


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


************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul  2 09:06:36 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	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul  2 09:06:45 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	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul  2 09:06:53 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	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul  2 09:07:04 2004

Input: AAAAA

Output: AAAAA

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


************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul  2 09:07:11 2004

Input: AAAAA

Output: AAAAA

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


************** PARI *****************
Host 3(NXDOMAIN) (128.192.179.231)
Time: Fri Jul  2 12:26:06 2004

Input: 31.99=5U+3v+w+2x
6.88=11u+4v+2w+6x+y+2z
25.44=2u+2v+4z
16.96=u+x+z
18.65=u+2w+y

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 31.99=5U+3v+w+2x
                                   ^-----------

  ***   unexpected character: 6.88=11u+4v+2w+6x+y+2z
                                  ^------------------

  ***   unexpected character: 25.44=2u+2v+4z
                                   ^---------

  ***   unexpected character: 16.96=u+x+z
                                   ^------

  ***   unexpected character: 18.65=u+2w+y
                                   ^-------


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


************** PARI *****************
Host lns-th2-3-82-64-44-128.adsl.proxad.net. (82.64.44.128)
Time: Fri Jul  2 15:35:14 2004

Input: (1+x+y)^2

Output: x^2 + (2*y + 2)*x + (y^2 + 2*y + 1)

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:13:03 2004

Input: (3^88)/(2^11)

Output: 969773729787523602876821942164080815560161/2048

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:13:35 2004

Input: (3^88)/(2^11)
((3^88)-1)/((2^11)-1)

Output: 969773729787523602876821942164080815560161/2048
473753654024193259832350728951676021280

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:48:09 2004

Input: ((3^232)-1)/((2^29)-1)

Output: 2112395209564224290311670559819509557845307164933576057127435020031518817262272734415971205283080728371368480/2304167

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:48:21 2004

Input: ((3^1102)-1)/((2^29)-1)

Output: 5559646627910616220956284505320367207731222222827221615403007934855712616044403222635353138418296258025008765564431667048519073493491331430519267989130986043789879135825100198486936663360512469457534813085038746845245716646773173942310951114564098520547417034192862509452576711087093037930278189873207036461220788755254224081957617115352309108966465967649109227367116203240373421862775887964030875497195983496097948871263710191341351672975451936534824265645220153373318514570086933766262893039756770016503271179986516976136/486737

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:48:40 2004

Input: ((3^2088)-1)/((2^29)-1)

Output: 3482454843111297047048507047320025648476826702061712190478986941139149165209191625332578889843267546767720867532333709820312125602131793291649808980247923294334313206032802836278604927351174403412298540223137593771904876992752429303914567582639255660582167368847185192072062877785100858830732463623053020868463477503363051500129942620466799485374191579092171414154078091896168064511289472270219913449904211193094153754612867414532747888495913865313827159138127461489128984520395489414874090365099234542871102927919043188923278327041771368474222435104894407188465518980875648889220796374064730043517913910164553055741090983807209946226484573545095975398187638750308117479438919265582214753868812244511970360826841056584565747898510913261673725454398865327244068055607768426452331712597493889972672618589991512419498033862816178125136248900287154247558046665032372972399295692339226759865790958724090164081943002991781638133609684990226095531588053945487807529950993363352756207705994288987680/1103

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:49:34 2004

Input: ((3^256998)-1)/((2^29)-1)

Output: 1615178198097185561974283243127381785486111066614463102448590546997299969899592834700114925719732677337981807105034751916422871306851989599756774046509298338127624583757947771632133585690180908785422210864657988432608965447834619736609446157057783534748340195901141337254694882191206099329208383214480307152079639571837728916138621381857697154118934342123475760549854590409825425466475895073531334685329401764051787204480351469080313616808635066610879691425740068217423616588425752763098381444500355478977798116648843390535450090597968157245614847526746059088236700702346587888836521751642383674175749713370387565066834916454984096171218254461440044739267671601473456397131693716973058964296096392484500229680602700673745971997553511383200815602278026678441096809954645175135142578861843357830866988515015006228635365632668313164294778354202269022669003549397356425914146505397944047449334512788842553882040462435413191456867666849801350839558029100588141660414418633966059618384259405048600583110010770167382652504715842881510365177517139583947450549763643605277886253942305411461857810620808847787735036473367155912233020740821874088774511089908230796277305813441635252269898719011916583008270699075619827191775443712952070279982627685001019927970379172069492523843388909220329792010975554124899044865421111142595494554720207516939143943651947848059584340010908434939205634693274988727415683075986276272224902697494306724078674144637797023892455570252151990789914986681110362376668838035598230122643571268987837880442611235618538118507633869636122847709258199233672074618626111191651987939992919391463079505377603313079846672444083624836266672026563204255390898621131498988387312929774773942949044625380796282578698899164157801028694995739790424366381272924976576306550214973971119445243536013748510399739153960037694880551833844414649969838043798543318566573766352799463227564051948025185893301559472153894936250391751355824535361002356826401153955202461094888416838969625518541989282953795772538435713034340969435616546977704988692037507761279476435360441734102422939806913961269978166173726588824704249083989579015691885191819572499078686053390201831683994965827971602170485209867687401123343786206376168629905931320612656172772655549829243249001020540103325563389791393913959132563808744339675910561721320097841823424238651281751448948222339947449517414019151746280833865061213267490591779627907130855777443483085433145766899525687696023624843716842721721901188712863520762189175789978882624605983168247879676461521297789836548280369035586193257723578861161850202252651875123684103381896011701440869003263634944553567167013714875705868211868804432151245293266018650556435484918413672960752735970308133958210046343215267884715703528894041613545274670675960468623375016806051726328906957890261608529866714628139503526902297016354140068568588023064747548983515037106594559928832607636767110764406544476680224310248161759013454237097298923296674079683959703535164998395681621830137074575649024201148161484469699781117630733804670841659566087929907639742883836707341701671616428736578774993671229625825717791366748266467317771079444204118483078989073656087776745375474436685244053120276060481047281176084062088119381965591942201515099677643639831646353951012290480377991246282495986760620483914679024306214618202725508742446596938859290928497510953901686255202179420366828316851261533369882641268541274584923054222351388577133869897351963302379247118012000986966066225403555780999815489352176166722586553552950079108755073543669915452186647317423620138855136879959988646699753636028743550359708829495285905551623291092967207732347413610099332707214116476016743715657738118127613811977369738224014982994011164287647322386908985990164969409438073206630928993402731651084193585280146944872540478024977537171832728674898632896624976570844838674738225926522185296966640317980450759247726185228894427721813587215916948312042900108841310798081482476314334967991419571623252447059397762987421606733030345756503981800309256315679942215211769206681735970948105157398006990992123934298601992640092996680359873600143937909394757334570502761821094212755515739031193536248351272639452039235582765908668398488191406619519688091972097290241164173982109699038447591350848530243527459487051850604800034759726621676061458791231948474713418058620584551171526848295399051812822841751644395709660081540960694465271655494347825473728114139323257879103047829509340684078763395938585456687700795618495462004044284757476730087202032504858814873335429118908552969515136535526301879224386893608404928371680135019683656463876355658189271860231197283593385554411330949867572246760832773216325683008068622847235692283071374194839356555418013710446359389093389041802308831673145549606667445204372935173916864915993851131620666734074389276249750816501595574427601871559900151666965217743592200151305120220049285817340301770737267060768953967669710827453479110211267444021565333073321107298744635996565996002022555896882938120762443372262379889941864305163910596546454224734665426018850600447647787692676233886463883014651529845330277353756377943266177950223995370844621064050138382976220557880329199281722383714695550271942725267237134065324773713890627350162038767848935283582703660389806314707621767875759492014013513003228858619689160260668559920337298240103313332287581922345132007404057085420180008937130471782127086401823437636575847855981350288446295633957643283697746125198542067416462779267561320986335369362008433883695763939772164520897798335633680226983322788423339130141177611953358772749203082373763564830632745630325447800996599064447159282763102609803737013506668311460269793659023921228908963416120235088136880033161236549984721777745428916158093006703811189862062407523109016436182508902983760367080101106841122876481129024150381728694199911806084075075760983157348435568353598087682921865524964420522516426515698830906932754786554939538329366737119048911990940770669021477042916500351237874091397304790953726083676133386057542527070867680608541700545515839587265133365472299420725732818169705445464667247859092550363706980125657595436836681783397065754539085020279070061680648996169055313027268359307495699437238539244048293058911110183278925662741006090227535288812021301446223742764234816896094573604136274391334622380381830330849450087090579598698206292871787619468039967248489167990903218764255365458719391035208781091470265251477490430644921688532988890559691064748179064946263219361745794456046459863872684558954338670012320421777638450211228460246524156227427944381286191535021947504745083359495741659110745265537224611981694018512204856126504113165554302546495263888990918838510303515889875855283847154295530499882261874083639879179557548525861415330104264293654432673423430873374044849041567786806083918084607673088971420410764435410248682629926373478543828710680000984366619664115778036881360635225938992506171820971692556723222946383475652691672173358746934671771756557966787858203565192534976907741339747151832436411066781660506289370414155636417218552195564996270473273879752883353566165460978912839427642400007945872234746847276327603939422247509977479136987851118218009363136688615371203634422164981413820602208965079521320480852082875829455387602446655616038764661541106755357295658632023177689591266659716818101449337000620117531811448142786964352856806956198965781125034831628142567272079213331214854786659190014413463083864572314142331418003247212603036560196554925572792621520247951703485885790631759528898065805189553349100679607063524718333095126667836788161139340925084369145572376188442202395872766389921882986070581066320392500508571058596642338424423237296682205656839331112765055445596052790517733559343844540349307434080019662604917265519346164241505417909716075654720378083116797535458958743276383717777408504196800104759980021455574296729011800504889130623202465178844415078710658714963083222955983529307881698425563350550760741675009365991129815240155134721358203626142427250124871385671187504107064670493571918241960830461817209529885608668985053518720881149166850768110816800345423373420927849293648747682892255340864402537894825348136216848153140984085838880645395701889960509937574826276071935486324831791123972765642930379281723876423458430409989668864122271298281329653689750364085864928725904619400080531128240877235043673705983882811853765148407117523994096535739278595773884784716493009400048708804138134194028831570342065008962603287179084578075688469888453806985847522738893067074646538840616007409447107252865414271489713258700402120751242979995553905074227943352980617441886166489399669172308235017892942845675481355609528910512519432500268517352811232849247117670807470409633946882018473078960517089011785649288848983815637663793571432021687288623928549357971958095428691515879393778991649952529987029621676264373188585622386047726741631698469794242554572841552737091597597825027530578084294976737821377651758922245828347931245895717912226935489525474061503532602240249377292732533104835135670299547441388795314050747599932638134556809322134234524476697094380652356807478768457210188949156529447858002854677198034224461372375239648977890700945385217416026908907952918904879000378002316124760919404976926095223938769690609643582297845351738574164199022665884005227963204455919069167842684499202246863236833072658088433844276085382428693598789355224664631868409596782619471522843235341383475674094383155564780297082536230100292693359191297823776052488107811833971172927580004911397783031474585615747546388120822573804311382316765361352506464623133077610268979856948920470888121388972408760388960518388500932614594164115417565251802154283007242627402996202911060930198273053520035735319740230960814550720984239395409247130425705263435885820946176671522875838912624308094577837515401068923299404320214299643205430001808627149484864047633795500080656122728699449561279603822989924981977343715478818799455029963954221479315212370123085265848194706655350714686000130515825850
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m4.083s
user	0m3.980s
sys	0m0.100s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:49:56 2004

Input: ((3^232)-1)/((2^29)-1)

Output: 2112395209564224290311670559819509557845307164933576057127435020031518817262272734415971205283080728371368480/2304167

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:53:18 2004

Input: ((3^222)-1)/((2^37)-1)

Output: 37377795595955556227082610682603702691999778661403820154128463779252716423937461615554315484203231815496/616318177

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 00:54:55 2004

Input: ((3^616318176)-1)/((2^37)-1)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.000s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul  3 01:13:46 2004

Input: ((3^13366)-1)/((2^41)-1)

Output: 11930444780328961533244480513726999002756471587765808048855559664983489420248250344307192748757195900197394215273305886189010518458688973441838324989724403989979741750130609191032742544368970106501625908133040432301513524305038299773042126416410300210764280266889251698115436887300160452137749310387430722584131480631431803806545287094177315072206161631248897333442498388373513963369927173369682248236116945555479856959744100014071210569393918849807004867339572298638166165306870565058668387014695506733797349453231053652297545193846815101233798856591904622045963009106371676253012380177744660165651078017198155781876757848258002790520347906047548294918819475937858443635134998404768710795682235172554529422517049020423648796995853461548411148663328025195531192719009293486223332987823630468725221102556800528425188012218966962051593363676506793083943706769526618502191637366660916362427577692301446051211243915725779478322059637424751744135754472804937762750082601359726501813350590605210396700588425961755422262465219836744051691210288767498237463472793865788641428234409455082005340259689695022365657530484740373146215740650353303188726933822323018671874170505617212600011434977170208204782496083786605954347911631916755696062209539682698617149661020942335213663197826567367427700002938404195947769142342322543466944885269759335812160256957891852478950934126462555673910326765318781905091667908574402464785359954978955097576892906961365639219007346222726760190720493438382304354662853945844630378337641776450709856127206599771263527598250772425192540503744628358612711329007107860168640223868745824065081457649854160442929148095937918005250093558938030135484036790147839523890163204232401251448307435420963242487095524154001264033609849847502383010167014186627865255187887563307566698662748988398663954299279154070553203562264372981470349031385148392743703202829543812628870708777443552094925182011871380249893238725204371997137042666990264821342917629054277398556221128368735986226090421995246863276808972102475993843770017113819557022841247623711703199332298505406750545889113564795208961710675953681936452456004294071662526396016866437547872729803505385269471231360739590042508480196451246434265895945492565984908279669365344658766489227571168762799894203456634538051717075219095215773121822735855793119570088460344044552315593769199555306740633037741003145719619295980452433664172458892711106038745317249830036423420693014943581047321169603087414330740539175931645264099430977668533910616982195671394904618367667762108637971709368668686118481836014249644868979568808974428914916254645419543453593185599922575935962434152401831971185502032470652797219754326140274039575823605387464993654599197798138739144358586616453953449033071825673203690723224996006016332886779045220043155098103524372969390081544507705933332652847537790909639662709795623833870576818437448511707521436391736680105935766539289533657787144284035433068853981501348067451854986684798603633850696140190297804969753090917879574711063394531309255761404519993671957069451283673573029796086838874662708140641260087842590042547474179198439244797256861863875557957168161862961413287408001031536942052086652767304075851869146743705685126152475290866154259260124630519164517642151785273655350100142144185472027230611087805203572791955323869025682898959547388400679828801798402246665228933791128013342473356172470865492221499946219756241548737463759383615461047782424735458783812102476218191590080176349234425963298640101906823823958652692645671938512004098429513568130610786599604205250892610789342816780858597724569885169313895762530950766898992198160569851191443952074915681758123023620816126029683014159128906338691511476394927268750229156912520017705741945292333946492907386061923142335542838541846374388676075193278453960061778904213072170197714096420749656795951117603674397289948542160405383884489200016001540749317696942332591455386741606284601145282853389976974124132352055709087303495094442977047987532308111830419551380332720218091112107442995968839700511050967121436461738669189725034108916204719116774672561343439348248704911018090692465634496175014476732854169457877572436404959897090212232012466210664264457583857177493687155723784163852246947346768034360679710904119233482869148258794287902177412139162090591768828321000792971870445265687890901554227536501303514430260114690967625939720859617685190010049443689465430603063155700105002275541769271995387708066738786754584895073786199108403055538027392915890936506716065233115057206548535472519095675122003049598292498965819739539298853368680210219643794544216954320433047655680764478355715805698063899633335789165841221155106433577184513774769265493069843852985057395160155614845299345879398336194332118235675449082744958587862285647112123536605346272208190082905305216708693723279170859859215123233648986375510120226371157205304856869798734745109074991127096596729310695659202185704311446910490807493858183898455920859997226125291689511092765810648015465893960323827771232816938760580478641201781141693695472904746146464999787507438911736770477051911379008366899265844376577699303605846883914576049863753078037406657608524086760493738623790813339064316102008898825054817208641816890483472636483067599449453111785335960199785641667005045235443664356772998700548911848477526451492703184873237362574625694208380805353630826404523499319953376415720045573865709516796666153885734345061139466831257139136888364771457932300043858196469588719966283245872718080150308375092312283999473956837438477402892877626561438407461399331823893817326867580057655255353045602164112225669943717908305643208369812333882574822409709018884890632596198811842816375966366255578475706585266560698624131693577999141294264504094120534709139610949579170690113221536076004225725291237545799129626651664804808466596019412803671014880539287398820735572904974822759562566069401498214997556844436553660534694835067486401859547566786179911926854744796695865547044109323313437001222104121869863881680799642192190980846043060707745939649489200427664556928050395853751719654419715993267273630639746094882150587592542885081336506167886107993120325162796446107392251290731441973391405148776541571691525631222434216142841502340727077264048377611828859363955489134147701464732507104335087195288487615295195697090824493859292267722202867678190395678514403926786158847293337743978922694184/164511353

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host cpe-024-211-120-228.sc.rr.com. (24.211.120.228)
Time: Sat Jul  3 14:26:21 2004

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

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

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host cpe-024-211-120-228.sc.rr.com. (24.211.120.228)
Time: Sat Jul  3 14:26:39 2004

Input: z=y2

Output: y2

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


************** PARI *****************
Host pcp08867223pcs.sabrna01.az.comcast.net. (69.137.185.218)
Time: Sat Jul  3 23:45:17 2004

Input: factor(x^15 - 1)


Output: 
[x - 1 1]

[x^2 + x + 1 1]

[x^4 + x^3 + x^2 + x + 1 1]

[x^8 - x^7 + x^5 - x^4 + x^3 - x + 1 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul  4 03:53:17 2004

Input: factor(242545362933982125628559922991)

Output: 
[242545362933982125628559922991 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul  4 03:53:24 2004

Input: factor(10077537735966263582017919371566619305164464911649088384505894437689028537)

Output: 
[10077537735966263582017919371566619305164464911649088384505894437689028537 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.090s
user	0m0.080s
sys	0m0.010s


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul  4 03:53:33 2004

Input: factor(129523101504856161079684963)

Output: 
[129523101504856161079684963 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul  4 03:53:40 2004

Input: factor(9705509861708257273773510972451806910093279864654142901189711709595743392247)

Output: 
[9705509861708257273773510972451806910093279864654142901189711709595743392247 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.092s
user	0m0.080s
sys	0m0.010s


************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul  4 12:23:34 2004

Input: 10+10

Output: 20

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


************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul  4 12:23:40 2004

Input: 10+10

Output: 20

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


************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul  4 12:24:16 2004

Input: 10^199994324

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.001s
user	0m20.940s
sys	0m0.060s


************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul  4 12:24:46 2004

Input: 10^199

Output: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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


************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul  4 12:24:56 2004

Input: 3^199

Output: 88537996291958256446260440678593208943077817551131498658191653913030830300434060998128233014667

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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul  4 12:31:39 2004

Input: factor(x^2-1)

Output: 
[x - 1 1]

[x + 1 1]


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


************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul  4 12:31:46 2004

Input: factor(x^30-1)

Output: 
[x - 1 1]

[x + 1 1]

[x^2 - x + 1 1]

[x^2 + x + 1 1]

[x^4 - x^3 + x^2 - x + 1 1]

[x^4 + x^3 + x^2 + x + 1 1]

[x^8 - x^7 + x^5 - x^4 + x^3 - x + 1 1]

[x^8 + x^7 - x^5 - x^4 - x^3 + x + 1 1]


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


************** PARI *****************
Host eg202.internetdsl.tpnet.pl. (80.53.6.202)
Time: Sun Jul  4 14:48:49 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	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 82-32-13-239.cable.ubr02.azte.blueyonder.co.uk. (82.32.13.239)
Time: Mon Jul  5 07:58:03 2004

Input: factor(298784395667892569)


Output: 
[19 1]

[1021 1]

[14243 1]

[1081376917 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.238s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul  5 16:26:07 2004

Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m0.133s
user	0m0.090s
sys	0m0.020s


************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul  5 16:26:31 2004

Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
bnfcertify(cf)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.112s
user	0m0.080s
sys	0m0.030s


************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul  5 16:26:37 2004

Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
bnfcertify(cf)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.112s
user	0m0.100s
sys	0m0.010s


************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul  5 16:26:55 2004

Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
bnfcertify(cf)
cf.fu


Output: 1
[x^2 - 5*x + 2, x^2 - 6*x + 3]

Errors (if any) and Timing Info:
Timing:
real	0m0.114s
user	0m0.090s
sys	0m0.020s


************** PARI *****************
Host Tasha.Math.McGill.CA. (132.206.150.104)
Time: Tue Jul  6 01:41:38 2004

Input: Jacobi(6,11)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: Jacobi(6,11)
                                                        ^------------


Timing:
real	0m0.073s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host Tasha.Math.McGill.CA. (132.206.150.104)
Time: Tue Jul  6 01:41:47 2004

Input: JacobiSymbol(6,11)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: JacobiSymbol(6,11)
                                                        ^------------------


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


************** PARI *****************
Host Tasha.Math.McGill.CA. (132.206.150.104)
Time: Tue Jul  6 01:41:56 2004

Input: ? Jacobi

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

Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host bglan\@sp.spnet.net. (212.36.7.146)
Time: Tue Jul  6 02:32:54 2004

Input: kogato suniva6 pari 

Output: kogatosuniva6pari

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


************** PARI *****************
Host bglan\@sp.spnet.net. (212.36.7.146)
Time: Tue Jul  6 02:33:22 2004

Input: kogato pla4e6

Output: kogatopla4e6

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


************** PARI *****************
Host bglan\@sp.spnet.net. (212.36.7.146)
Time: Tue Jul  6 02:33:39 2004

Input: pari

Output: pari

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


************** PARI *****************
Host 3(NXDOMAIN) (213.235.5.49)
Time: Tue Jul  6 06:13:58 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	0m0.082s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host host25-178.pool81117.interbusiness.it. (81.117.178.25)
Time: Tue Jul  6 07:21:54 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	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host pc302.math.hr. (192.84.105.28)
Time: Wed Jul  7 11:01:20 2004

Input: factor(2623571232131262891)

Output: 
[3 1]

[1877 1]

[465915686757461 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 96-115-dyn.ipact.nl. (82.210.115.96)
Time: Wed Jul  7 17:08:59 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	0m0.079s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host xdsl-81-173-159-143.netcologne.de. (81.173.159.143)
Time: Wed Jul  7 21:33:14 2004

Input: p = 1361129467683753853853498429727072845993
Mod(Mod(1,p)*X, (X^200 + X^20 + X^2 + 1)*Mod(1,p))^(p^2)


Output: 1361129467683753853853498429727072845993
Mod(Mod(708131963606297959660438800968863303918, 1361129467683753853853498429727072845993)*X^199 + Mod(176208917205704951262232571084180827909, 1361129467683753853853498429727072845993)*X^197 + Mod(453563338042927738071413594915400510442, 1361129467683753853853498429727072845993)*X^195 + Mod(547255090209736332200628826322020687475, 1361129467683753853853498429727072845993)*X^193 + Mod(514365638130149831807455831232285749152, 1361129467683753853853498429727072845993)*X^191 + Mod(910128329631694658562479165889002288317, 1361129467683753853853498429727072845993)*X^189 + Mod(1047982952961769652815032085394014953230, 1361129467683753853853498429727072845993)*X^187 + Mod(2820671671817550963589323185522584786, 1361129467683753853853498429727072845993)*X^185 + Mod(668427855344674101518433075912055325333, 1361129467683753853853498429727072845993)*X^183 + Mod(815451433497796384671320310281470061800, 1361129467683753853853498429727072845993)*X^181 + Mod(710644496531927249149798340692678930135, 1361129467683753853853498429727072845993)*X^179 + Mod(443791060531276623026199102952389654531, 1361129467683753853853498429727072845993)*X^177 + Mod(326038148609065150751269870281668889027, 1361129467683753853853498429727072845993)*X^175 + Mod(666985885523868921892586711038082963776, 1361129467683753853853498429727072845993)*X^173 + Mod(922193370089690566143403836681511849590, 1361129467683753853853498429727072845993)*X^171 + Mod(534045553272495679283961818189121328485, 1361129467683753853853498429727072845993)*X^169 + Mod(734865765787320656482343547394316585792, 1361129467683753853853498429727072845993)*X^167 + Mod(995160679816629313061248630731619710012, 1361129467683753853853498429727072845993)*X^165 + Mod(338356385363192175634621454210296976218, 1361129467683753853853498429727072845993)*X^163 + Mod(1229687016407007212212050384643664103313, 1361129467683753853853498429727072845993)*X^161 + Mod(746795353193961143501600238745153275883, 1361129467683753853853498429727072845993)*X^159 + Mod(189752125947613358067546740037034562097, 1361129467683753853853498429727072845993)*X^157 + Mod(1167667961682971300324830569250107378803, 1361129467683753853853498429727072845993)*X^155 + Mod(818841003530024973490564195845034599479, 1361129467683753853853498429727072845993)*X^153 + Mod(1328135370154437621876072524191872199678, 1361129467683753853853498429727072845993)*X^151 + Mod(670869679452464380825368915220804450331, 1361129467683753853853498429727072845993)*X^149 + Mod(1317612578146921415033788877556053171624, 1361129467683753853853498429727072845993)*X^147 + Mod(517455381872927923524060733583143210693, 1361129467683753853853498429727072845993)*X^145 + Mod(871465332941414232088205664240062736916, 1361129467683753853853498429727072845993)*X^143 + Mod(706223265302946885362692549030226774739, 1361129467683753853853498429727072845993)*X^141 + Mod(876114574301976257923394701578560587662, 1361129467683753853853498429727072845993)*X^139 + Mod(1136108564387187544213200276899329974611, 1361129467683753853853498429727072845993)*X^137 + Mod(1183357639272935446549995589872545393767, 1361129467683753853853498429727072845993)*X^135 + Mod(636199753555544936491185972949685964745, 1361129467683753853853498429727072845993)*X^133 + Mod(386147424115982243743215578123303657354, 1361129467683753853853498429727072845993)*X^131 + Mod(634490886372490862435558200813899285885, 1361129467683753853853498429727072845993)*X^129 + Mod(555751713143133275839984662633908690525, 1361129467683753853853498429727072845993)*X^127 + Mod(1114922684360138909553847648563288614963, 1361129467683753853853498429727072845993)*X^125 + Mod(360377288283234610381702736454445601996, 1361129467683753853853498429727072845993)*X^123 + Mod(556476112904219368223097574304479615458, 1361129467683753853853498429727072845993)*X^121 + Mod(333281633390844539883417339891748589722, 1361129467683753853853498429727072845993)*X^119 + Mod(775336210713455540443748007581273262293, 1361129467683753853853498429727072845993)*X^117 + Mod(216809579529415433010529639090162680988, 1361129467683753853853498429727072845993)*X^115 + Mod(725137969655901796277744670388340109305, 1361129467683753853853498429727072845993)*X^113 + Mod(994357270587946986806190262575817123823, 1361129467683753853853498429727072845993)*X^111 + Mod(487430443771686475076976621192393599015, 1361129467683753853853498429727072845993)*X^109 + Mod(923525864686906341202176619453168770979, 1361129467683753853853498429727072845993)*X^107 + Mod(132346459586937973573652526390040048018, 1361129467683753853853498429727072845993)*X^105 + Mod(655395509508948744319870721608191133805, 1361129467683753853853498429727072845993)*X^103 + Mod(267524547848108468395265111770318950152, 1361129467683753853853498429727072845993)*X^101 + Mod(692052810274921661161632886505868233967, 1361129467683753853853498429727072845993)*X^99 + Mod(435400159167522172775711086739424006474, 1361129467683753853853498429727072845993)*X^97 + Mod(30860982815139430248485855250286627200, 1361129467683753853853498429727072845993)*X^95 + Mod(917365779674492491556542234853924254831, 1361129467683753853853498429727072845993)*X^93 + Mod(762676593602694196240077040756582580395, 1361129467683753853853498429727072845993)*X^91 + Mod(269642857643750522337875243742507452887, 1361129467683753853853498429727072845993)*X^89 + Mod(1152498392776119739381130083878257601840, 1361129467683753853853498429727072845993)*X^87 + Mod(1358076019035118681532000651775706001764, 1361129467683753853853498429727072845993)*X^85 + Mod(181063401768969922170090611649294011049, 1361129467683753853853498429727072845993)*X^83 + Mod(1243710169036370952433524822101101938531, 1361129467683753853853498429727072845993)*X^81 + Mod(68554672734324159469519339091789921882, 1361129467683753853853498429727072845993)*X^79 + Mod(578011742619239449925660067383850387981, 1361129467683753853853498429727072845993)*X^77 + Mod(1155002895946867187683596622340316647623, 1361129467683753853853498429727072845993)*X^75 + Mod(807755330854111193378287983578122481935, 1361129467683753853853498429727072845993)*X^73 + Mod(871960786282260283301608805263284714785, 1361129467683753853853498429727072845993)*X^71 + Mod(702032770941643622144401062630182522335, 1361129467683753853853498429727072845993)*X^69 + Mod(990087324129431270555441152398448393644, 1361129467683753853853498429727072845993)*X^67 + Mod(1202266642989700242880238648517060565132, 1361129467683753853853498429727072845993)*X^65 + Mod(1063286024567275417367361037174396167396, 1361129467683753853853498429727072845993)*X^63 + Mod(629832656637286357471837718388654441043, 1361129467683753853853498429727072845993)*X^61 + Mod(332915640848665930837942142211433416180, 1361129467683753853853498429727072845993)*X^59 + Mod(658458566574024735919117539682058568227, 1361129467683753853853498429727072845993)*X^57 + Mod(1168720512313650504191306915123247560512, 1361129467683753853853498429727072845993)*X^55 + Mod(635682147386403676903880222884156611962, 1361129467683753853853498429727072845993)*X^53 + Mod(12750025896606221886162826059330014617, 1361129467683753853853498429727072845993)*X^51 + Mod(959174480879931624472689851231618624581, 1361129467683753853853498429727072845993)*X^49 + Mod(1072626171825999128889614633172925151745, 1361129467683753853853498429727072845993)*X^47 + Mod(1073254360002273068824171841882022370898, 1361129467683753853853498429727072845993)*X^45 + Mod(1054833219335097330206455198698741222396, 1361129467683753853853498429727072845993)*X^43 + Mod(246952529062988730139100270741912731203, 1361129467683753853853498429727072845993)*X^41 + Mod(46825971401002902677138310511654246801, 1361129467683753853853498429727072845993)*X^39 + Mod(1127168615159286564112827834051284238889, 1361129467683753853853498429727072845993)*X^37 + Mod(1114674660510398311334481640098533949250, 1361129467683753853853498429727072845993)*X^35 + Mod(1146347043105506496967088106617850114061, 1361129467683753853853498429727072845993)*X^33 + Mod(1204364947958270579874656137827557545018, 1361129467683753853853498429727072845993)*X^31 + Mod(306640823984382997811676208604360131398, 1361129467683753853853498429727072845993)*X^29 + Mod(1064872027187544116550764606989258720568, 1361129467683753853853498429727072845993)*X^27 + Mod(744351085202283286400472030617477919095, 1361129467683753853853498429727072845993)*X^25 + Mod(920164905915024628459309355889427800385, 1361129467683753853853498429727072845993)*X^23 + Mod(1007918198321688650139869157585961679656, 1361129467683753853853498429727072845993)*X^21 + Mod(373674595619701162230703713564860554040, 1361129467683753853853498429727072845993)*X^19 + Mod(936948799250390255388511143059167155203, 1361129467683753853853498429727072845993)*X^17 + Mod(1332888946709153102098924318814794543032, 1361129467683753853853498429727072845993)*X^15 + Mod(637158728445246552806376327477697602834, 1361129467683753853853498429727072845993)*X^13 + Mod(124162529377417902470473331724146179407, 1361129467683753853853498429727072845993)*X^11 + Mod(543273495681448899961583453729826767003, 1361129467683753853853498429727072845993)*X^9 + Mod(1061779686881918999091260234268055335030, 1361129467683753853853498429727072845993)*X^7 + Mod(153399407141786895857562473499200327042, 1361129467683753853853498429727072845993)*X^5 + Mod(1086868942176930070419333983631656325772, 1361129467683753853853498429727072845993)*X^3 + Mod(1012316126965060809534212858025614223369, 1361129467683753853853498429727072845993)*X, Mod(1, 1361129467683753853853498429727072845993)*X^200 + Mod(1, 1361129467683753853853498429727072845993)*X^20 + Mod(1, 1361129467683753853853498429727072845993)*X^2 + Mod(1, 1361129467683753853853498429727072845993))

Errors (if any) and Timing Info:
Timing:
real	0m2.071s
user	0m2.050s
sys	0m0.020s


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:18:09 2004

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

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

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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:18:26 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!


Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:18:40 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
20!


Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
2432902008176640000

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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:19:08 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
20!


Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
2432902008176640000

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:19:21 2004

Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
20!
Pi

Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
2432902008176640000
3.141592653589793238462643383

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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:19:47 2004

Input: Pi

Output: 3.141592653589793238462643383

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:20:07 2004

Input: 100!

Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:21:05 2004

Input: 2^100;

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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 01:21:12 2004

Input: 2^100

Output: 1267650600228229401496703205376

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


************** PARI *****************
Host argon.fokus.fraunhofer.de. (193.175.133.167)
Time: Thu Jul  8 06:35:53 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	0m0.081s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host p508F6C2E.dip.t-dialin.net. (80.143.108.46)
Time: Thu Jul  8 16:30:48 2004

Input: 1+5

Output: 6

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:40:50 2004

Input: ((4^11)-1)/2047

Output: 2049

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:41:14 2004

Input: ((6^11)-1)/2047

Output: 15773785/89

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:41:24 2004

Input: ((6^22)-1)/2047

Output: 5722682775750745/89

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:41:32 2004

Input: ((6^88)-1)/2047

Output: 146619654268575564760071564130423232490962597413707041234481055745

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:41:58 2004

Input: ((8^88)-1)/2047

Output: 14481081995482631181452941945395263512670794369518311868149067662933933164545

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:42:13 2004

Input: ((8^11)-1)/2047

Output: 4196353

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:43:32 2004

Input: ((3^11)-1)/2047


Output: 7702/89

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:43:47 2004

Input: ((3^22)-1)/2047


Output: 1364393896/89

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:43:55 2004

Input: ((3^44)-1)/2047


Output: 42816126181896140560/89

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:44:03 2004

Input: ((3^88)-1)/2047


Output: 473753654024193259832350728951676021280

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 17:44:29 2004

Input: ((3^88)-1)/2047

(3^88)/(2^11)


Output: 473753654024193259832350728951676021280
969773729787523602876821942164080815560161/2048

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 18:53:11 2004

Input: a:=233;
m:=1;
for i := 1 to a-1 do

x:= i*i*2;

if a mod x eq m do

print(i);
print(x);

end if;

end for;

Output: ifamodxeqmdo
i
x

Errors (if any) and Timing Info:  ***   unexpected character: a:=233;
                                ^-----

  ***   unexpected character: m:=1;
                                ^---

  ***   unexpected character: fori:=1toa-1do
                                   ^---------

  ***   unexpected character: x:=i*i*2;
                                ^-------


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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul  8 18:54:16 2004

Input: a:=233;
m:=1;
for i := 1 to a-1 do

x:= i*i*2;

if x mod a eq m then

print(i);
print(x);

end if;

end for;

Output: ifxmodaeqmthen
i
x

Errors (if any) and Timing Info:  ***   unexpected character: a:=233;
                                ^-----

  ***   unexpected character: m:=1;
                                ^---

  ***   unexpected character: fori:=1toa-1do
                                   ^---------

  ***   unexpected character: x:=i*i*2;
                                ^-------


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


************** PARI *****************
Host proxy305.docomo.ne.jp. (210.136.161.197)
Time: Thu Jul  8 23:46:20 2004

Input: 10!

Output: 3628800

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


************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul  8 23:46:28 2004

Input: 10!

Output: 3628800

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


************** PARI *****************
Host reached (203.255.11.125)
Time: Fri Jul  9 01:04:07 2004

Input: SimplexCode(5);
[31,5,16] Linear Code over GF(2)
Generator matrix:
K:=FiniteField(2);
C:=LinearCode<k,24 bar
[1,0,    0,1,0,  1,0,1,1,0,  1,1,1,1,1,0,    1,1,0,1,1,1,0,1,0]
[0,1,    0,0,1,  0,1,0,1,1,  0,1,1,1,1,1,    0,1,1,0,1,1,1,0,1]
[0,0,    0,1,0,  1,0,0,1,1,  1,1,0,0,0,1,    1,1,1,0,1,0,1,0,0]
[0,0,    0,0,1,  1,1,0,0,1,  1,1,1,0,0,0,    0,1,1,1,0,1,0,1,0]
[0,0,    1,0,0,  0,1,1,0,0,  1,1,1,1,0,0,    1,0,1,1,1,0,1,0,1]>;
CoveringRadius(C);



Output: [1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0]
[0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1]
[0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0]
[0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0]

Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: SimplexCode(5);
                                                        ^---------------

  ***   unused characters: [31,5,16]LinearCodeoverGF(2)
                                    ^-------------------

  ***   unexpected character: K:=FiniteField(2);
                                ^----------------

  ***   unexpected character: C:=LinearCode<k,24bar
                                ^-------------------

  ***   unexpected character: ...1,0,0,1,0,1,1,1,0,1,0,1]>;
                                                          ^-

  ***   expected character: '=' instead of: CoveringRadius(C);
                                                             ^-


Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host r007100.ap.plala.or.jp. (220.108.7.100)
Time: Fri Jul  9 07:59:37 2004

Input: factor(316919940409023301982838792872119171455867827701381815142203438704485713329508 
615413648334586665467004146971945978256063780241829268496250501665871483845499 
199886200304237131788716370031565725367651761275224043787145224266019916489829 
384757151091175208199486427572354023248098524425839413521757851055185165797632 
323966267694307432998207502389570743548892485918698113038516357403800410938038 
156996451424322622310672944034003549072787674797422498103283118704456721931637 
031894116588062272895993340830991641298501813135794295935504701500968819606514 
89420035028296201594439795251325605657219638906086923294477043805460631 )

Output: 615413648334586665467004146971945978256063780241829268496250501665871483845499
199886200304237131788716370031565725367651761275224043787145224266019916489829
384757151091175208199486427572354023248098524425839413521757851055185165797632
323966267694307432998207502389570743548892485918698113038516357403800410938038
156996451424322622310672944034003549072787674797422498103283118704456721931637
31894116588062272895993340830991641298501813135794295935504701500968819606514

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...5142203438704485713329508
                                                                        ^

  ***   unused characters: ...6086923294477043805460631)
                                                       ^-


Timing:
real	0m0.096s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host r007100.ap.plala.or.jp. (220.108.7.100)
Time: Fri Jul  9 07:59:47 2004

Input: factor(316919940409023301982838792872119171455867827701381815142203438704485713329508 
615413648334586665467004146971945978256063780241829268496250501665871483845499 
199886200304237131788716370031565725367651761275224043787145224266019916489829 
384757151091175208199486427572354023248098524425839413521757851055185165797632 
323966267694307432998207502389570743548892485918698113038516357403800410938038 
156996451424322622310672944034003549072787674797422498103283118704456721931637 
031894116588062272895993340830991641298501813135794295935504701500968819606514 
89420035028296201594439795251325605657219638906086923294477043805460631)

Output: 615413648334586665467004146971945978256063780241829268496250501665871483845499
199886200304237131788716370031565725367651761275224043787145224266019916489829
384757151091175208199486427572354023248098524425839413521757851055185165797632
323966267694307432998207502389570743548892485918698113038516357403800410938038
156996451424322622310672944034003549072787674797422498103283118704456721931637
31894116588062272895993340830991641298501813135794295935504701500968819606514

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: ...5142203438704485713329508
                                                                        ^

  ***   unused characters: ...6086923294477043805460631)
                                                       ^-


Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host r007100.ap.plala.or.jp. (220.108.7.100)
Time: Fri Jul  9 08:00:26 2004

Input: factor(31691994040902330198283879287211917145586782770138181514220343870448571332950861541364833458666546700414697194597825606378024182926849625050166587148384549919988620030423713178871637003156572536765176127522404378714522426601991648982938475715109117520819948642757235402324809852442583941352175785105518516579763232396626769430743299820750238957074354889248591869811303851635740380041093803815699645142432262231067294403400354907278767479742249810328311870445672193163703189411658806227289599334083099164129850181313579429593550470150096881960651489420035028296201594439795251325605657219638906086923294477043805460631)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m20.994s
user	0m20.960s
sys	0m0.040s


************** PARI *****************
Host 222-152-94-17.jetstream.xtra.co.nz. (222.152.94.17)
Time: Fri Jul  9 08:29:55 2004

Input: 018740-522923-584934-248763-851764-312835-112786-131665

Output: -2746930

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


************** PARI *****************
Host asd-n-1877f.adsl.wanadoo.nl. (81.69.165.127)
Time: Fri Jul  9 10:43:22 2004

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

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

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


************** PARI *****************
Host asd-n-1877f.adsl.wanadoo.nl. (81.69.165.127)
Time: Fri Jul  9 10:44:17 2004

Input: 3^2/4^3


Output: 9/64

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


************** PARI *****************
Host asd-n-1877f.adsl.wanadoo.nl. (81.69.165.127)
Time: Fri Jul  9 10:44:35 2004

Input: 3^2/4^3

Output: 9/64

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


************** PARI *****************
Host ip503c61b1.speed.planet.nl. (80.60.97.177)
Time: Fri Jul  9 16:18:58 2004

Input: 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	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (24.66.94.142)
Time: Fri Jul  9 17:33:13 2004

Input: x*x*x + x + 1 = 3.4

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: x*x*x+x+1=3.4
                                       ^----


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


************** PARI *****************
Host 3(NXDOMAIN) (24.66.94.142)
Time: Fri Jul  9 17:34:03 2004

Input: (x*x*x)+x+1=3.4

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: (x*x*x)+x+1=3.4
                                         ^----


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


************** PARI *****************
Host d142-59-182-203.abhsia.telus.net. (142.59.182.203)
Time: Sat Jul 10 02:49:11 2004

Input: 2+2

Output: 4

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


************** PARI *****************
Host d142-59-182-203.abhsia.telus.net. (142.59.182.203)
Time: Sat Jul 10 02:49:16 2004

Input: 2+2

Output: 4

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


************** PARI *****************
Host d142-59-182-203.abhsia.telus.net. (142.59.182.203)
Time: Sat Jul 10 02:49:23 2004

Input: sin(2.3)

Output: 0.7457052121767201773854062116

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:37:33 2004

Input: ((2^318)-1)/321

Output: 1663541305234353646725094786736411304207713802458452313042867295811697605748162422136263307583

Errors (if any) and Timing Info:
Timing:
real	0m0.273s
user	0m0.030s
sys	0m0.070s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:37:56 2004

Input: ((2^159)-1)/321

Output: 730750818665451459101842416358141509827966271487/321

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:38:15 2004

Input: ((2^106)-1)/321

Output: 252740306587559756061647991103

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:38:28 2004

Input: ((2^53)-1)/321

Output: 9007199254740991/321

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:38:41 2004

Input: ((2^106)-1)/321

Output: 252740306587559756061647991103

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:39:20 2004

Input: ((2^106)-1)/321

321/53


Output: 252740306587559756061647991103
321/53

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


************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 09:52:01 2004

Input: (a+b)^2

Output: a^2 + 2*b*a + b^2

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


************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 09:59:35 2004

Input: a+b*(a+b)^2+(a+2*b)

Output: b*a^2 + (2*b^2 + 2)*a + (b^3 + 2*b)

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


************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 10:00:06 2004

Input: a+b*(a+b)^2+(a+2*b)=a+b

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


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


************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 10:00:52 2004

Input: a+b*2=b

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


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


************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 10:01:59 2004

Input: (a+b*2)^3

Output: a^3 + 6*b*a^2 + 12*b^2*a + 8*b^3

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


************** PARI *****************
Host ip-66-218-236-99.cableaz.com. (66.218.236.99)
Time: Sat Jul 10 17:28:44 2004

Input: factor(123456)


Output: 
[2 6]

[3 1]

[643 1]


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


************** PARI *****************
Host 24-116-16-71.cpe.cableone.net. (24.116.16.71)
Time: Sun Jul 11 04:04:09 2004

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

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

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


************** PARI *****************
Host liifi-8-18.n.club-internet.fr. (213.44.39.18)
Time: Sun Jul 11 17:04:13 2004

Input: 1+3

Output: 4

Errors (if any) and Timing Info:
Timing:
real	0m0.258s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host liifi-8-18.n.club-internet.fr. (213.44.39.18)
Time: Sun Jul 11 17:04:44 2004

Input: 1+3;


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:13:43 2004

Input: gcd(245969,40811)


Output: 1103

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:14:06 2004

Input: gcd(245969,40811)
gcd(245969,40809)


Output: 1103
223

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:27:08 2004

Input: gcd(245969,40811)
gcd(245969,40809)
gcd(245969,6771)

Output: 1103
223
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:27:25 2004

Input: gcd(245969,40811)
gcd(245969,40809)
gcd(245969,6771)
gcd(245969,6770)
gcd(245969,6772)

Output: 1103
223
1
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 04:50:39 2004

Input: gcd(2047,623)
gcd(2047,621)


Output: 89
23

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 04:51:12 2004

Input: gcd(2047,623)
gcd(2047,621)
gcd(623,621)


Output: 89
23
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 04:52:24 2004

Input: gcd(8388607,3034179)
gcd(8388607,3034177)


Output: 47
178481

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 05:25:08 2004

Input: sqrt(2047)

Output: 45.24378410345447663370918825

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 05:25:44 2004

Input: sqrt(8388607)

Output: 2896.309203106602014444629034

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:19 2004

Input: gcd(2048,622)

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:28 2004

Input: gcd(2046,622)

Output: 2

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:36 2004

Input: gcd(2047,622)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:51 2004

Input: gcd(2047,621)
gcd(2047,623)

Output: 23
89

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:41:19 2004

Input: gcd(2047,621)
gcd(2047,623)
(88 * 90) 


Output: 23
89
7920

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Mon Jul 12 11:43:21 2004

Input: factor(9686081683177098475223715931)

Output: 
[9686081683177098475223715931 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.175s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Mon Jul 12 11:43:28 2004

Input: factor(1314709807173945124386524551786317959588529415262456959495075086473055274219732117053667996891)

Output: 
[1314709807173945124386524551786317959588529415262456959495075086473055274219732117053667996891 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.127s
user	0m0.110s
sys	0m0.020s


************** PARI *****************
Host proxy-b.ictp.trieste.it. (140.105.16.64)
Time: Mon Jul 12 11:54:51 2004

Input: ?classnumber


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

Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host proxy-b.ictp.trieste.it. (140.105.16.64)
Time: Mon Jul 12 12:08:51 2004

Input: hclassno(7)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: hclassno(7)
                           ^-----------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: hclassno(x) ===> qfbhclassno(x)

qfbhclassno(x): Hurwitz-Kronecker class number of x>0.



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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 21:33:03 2004

Input: gcd(381899,623)

Output: 623

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 21:33:13 2004

Input: gcd(381899,2047)

Output: 89

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 22:17:01 2004

Input: gcd(100108881600,8388607)

Output: 1

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 22:17:07 2004

Input: gcd(100108881600,8388607)

Output: 1

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 23:14:39 2004

Input: 
gcd(381899,8388607)

Output: 1

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 23:14:46 2004

Input: gcd(381899,2047)

Output: 89

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


************** PARI *****************
Host c-67-169-24-189.client.comcast.net. (67.169.24.189)
Time: Tue Jul 13 03:00:21 2004

Input: F3 := CyclotomicField(3);
chi := (DirichletGroup(7,F3).1)^2;
space := CuspForms(DirichletGroup(7^2*11,F3)!chi,2);
Newforms(space);


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: F3:=CyclotomicField(3);
                                 ^--------------------

  ***   unexpected character: chi:=(DirichletGroup(7,F
                                  ^--------------------

  ***   unexpected character: space:=CuspForms(Dirichlet
                                    ^--------------------

  ***   expected character: '=' instead of: Newforms(space);
                                                           ^-


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


************** PARI *****************
Host 149.64.142.82.ip.b26.cz. (82.142.64.149)
Time: Tue Jul 13 05:23:19 2004

Input: a=(x-y)^2

Output: x^2 - 2*y*x + y^2

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:41:02 2004

Input: 1234^676775

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.006s
user	0m20.460s
sys	0m0.540s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:41:37 2004

Input: Mod(1234,12351213461357267835645846746546795679567956795679567567597)^676775

Output: Mod(683742521329773078074680091791237464742871064356364867916, 12351213461357267835645846746546795679567956795679567567597)

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:44:35 2004

Input: (2*3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61)-1


Output: 117288381359406970983269

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:47:05 2004

Input: (2*3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67)-1


Output: 7858321551080267055879089

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:49:55 2004

Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71)-1


Output: 278970415063349480483707694

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:50:04 2004

Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71)-1


Output: 278970415063349480483707694

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:51:55 2004

Input: 278970415063349480483707694/2


Output: 139485207531674740241853847

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:54:30 2004

Input: 278970415063349480483707696/2


Output: 139485207531674740241853848

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:54:52 2004

Input: 139485207531674740241853848/2


Output: 69742603765837370120926924

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:55:18 2004

Input: 69742603765837370120926924/2


Output: 34871301882918685060463462

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:55:55 2004

Input: 34871301882918685060463462/2


Output: 17435650941459342530231731

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:59:11 2004

Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89)-1


Output: 11884370948172775385325268800679154

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:59:18 2004

Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89)-1


Output: 11884370948172775385325268800679154

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:59:55 2004

Input: 11884370948172775385325268800679154/2


Output: 5942185474086387692662634400339577

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:04:25 2004

Input: 5942185474086387692662634400339578/2


Output: 2971092737043193846331317200169789

Errors (if any) and Timing Info:
Timing:
real	0m0.323s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:08:49 2004

Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97)-1


Output: 1152783981972759212376551073665878034

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:09:18 2004

Input: 1152783981972759212376551073665878034/2


Output: 576391990986379606188275536832939017

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:11:48 2004

Input: 576391990986379606188275536832939018/2


Output: 288195995493189803094137768416469509

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:17:37 2004

Input: (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)-1


Output: 139867498408927468089138080936033904837498614

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:18:05 2004

Input: 139867498408927468089138080936033904837498614/2

Output: 69933749204463734044569040468016952418749307

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:21:42 2004

Input: 69933749204463734044569040468016952418749308/2

Output: 34966874602231867022284520234008476209374654

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:22:06 2004

Input: 34966874602231867022284520234008476209374654/2

Output: 17483437301115933511142260117004238104687327

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:28:02 2004

Input: (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)-1

Output: 2007238469666518094547220599513022568322942623864

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:28:33 2004

Input: (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)+1

Output: 2007238469666518094547220599513022568322942623866

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:29:03 2004

Input: 2007238469666518094547220599513022568322942623866/2

Output: 1003619234833259047273610299756511284161471311933

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


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:14:44 2004

Input: factor(7182818284)

Output: 
[2 2]

[1795704571 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:04 2004

Input: 8182845904/factor(7182818284)

Output: 
[-2045711476/897852285 4091422952/897852285]

[3673493448400356796/897852285 -4091422952/897852285]


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


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:15 2004

Input: factor(7182818284)

Output: 
[2 2]

[1795704571 1]


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


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:44 2004

Input: factor(8182845904)

Output: 
[2 4]

[701 1]

[729569 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:53 2004

Input: factor(8747135266)

Output: 
[2 1]

[29 1]

[150812677 1]


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


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:16:05 2004

Input: factor(7427466391)

Output: 
[7427466391 1]


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


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:30:39 2004

Input: factor(555630322675904218078384300423796723653)

Output: 
[555630322675904218078384300423796723653 1]


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


************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:31:08 2004

Input: factor(139981161221010397731653123017062767499842036659860080769697961983570117014800778312472409366714045213400567407)

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.001s
user	0m20.970s
sys	0m0.030s


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 03:58:59 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*1490-1

Output: 
Errors (if any) and Timing Info:  ***   expected character: ')' instead of: ...13*127*131*137*139*1490-1
                                                                        ^


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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 03:59:21 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149)-1

Output: 4382661674428236282532221951208729795953828672165464

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:00:18 2004

Input: 4382661674428236282532221951208729795953828672165464/2

Output: 2191330837214118141266110975604364897976914336082732

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:00:52 2004

Input: 2191330837214118141266110975604364897976914336082732/2

Output: 1095665418607059070633055487802182448988457168041366

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:01:24 2004

Input: 1095665418607059070633055487802182448988457168041366/2

Output: 547832709303529535316527743901091224494228584020683

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:08:30 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149)+1

Output: 4382661674428236282532221951208729795953828672165466

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:08:42 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149)+1

Output: 4382661674428236282532221951208729795953828672165466

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:09:02 2004

Input: 4382661674428236282532221951208729795953828672165466/2

Output: 2191330837214118141266110975604364897976914336082733

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:14:56 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199)-1

Output: 22909009327242202204130709265112207912169495438428634624356140189466777305064

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:15:52 2004

Input: 22909009327242202204130709265112207912169495438428634624356140189466777305066/2

Output: 11454504663621101102065354632556103956084747719214317312178070094733388652533

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:30:53 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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)-1

Output: 6002748397836999248863020468208450736997806554017496903932051670598313837644285135634891230800564373063202267538664

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:31:49 2004

Input: 6002748397836999248863020468208450736997806554017496903932051670598313837644285135634891230800564373063202267538666/2

Output: 3001374198918499624431510234104225368498903277008748451966025835299156918822142567817445615400282186531601133769333

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:36:52 2004

Input: 19*6+1

Output: 115

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:47:21 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397)-1

Output: 800900585975518067960773036765244965758762386751156157068271708761939492572923277470487185220529234592326887860792743726630423381456997610146278428096144

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:48:48 2004

Input: 800900585975518067960773036765244965758762386751156157068271708761939492572923277470487185220529234592326887860792743726630423381456997610146278428096144/4




Output: 200225146493879516990193259191311241439690596687789039267067927190484873143230819367621796305132308648081721965198185931657605845364249402536569607024036

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:49:23 2004

Input: 800900585975518067960773036765244965758762386751156157068271708761939492572923277470487185220529234592326887860792743726630423381456997610146278428096146/2




Output: 400450292987759033980386518382622482879381193375578078534135854380969746286461638735243592610264617296163443930396371863315211690728498805073139214048073

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:32:42 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397*401)-1

Output: 321161134976182745252269987742863231269263717087213618984376955213537736521742234265665361273432223071523082032177890234378799775964256041668657649666554144

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:33:03 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397*401)-1

Output: 321161134976182745252269987742863231269263717087213618984376955213537736521742234265665361273432223071523082032177890234378799775964256041668657649666554144

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:33:52 2004

Input: 321161134976182745252269987742863231269263717087213618984376955213537736521742234265665361273432223071523082032177890234378799775964256041668657649666554144/4

Output: 80290283744045686313067496935715807817315929271803404746094238803384434130435558566416340318358055767880770508044472558594699943991064010417164412416638536

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:34:37 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397*401*409)-1

Output: 131354904205258742808178424986831061589128860288670370164610174682336934237392573814657132760833779236252940551160757105860929108369380721042480978713620645304

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:35:10 2004

Input: 131354904205258742808178424986831061589128860288670370164610174682336934237392573814657132760833779236252940551160757105860929108369380721042480978713620645304/4

Output: 32838726051314685702044606246707765397282215072167592541152543670584233559348143453664283190208444809063235137790189276465232277092345180260620244678405161326

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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:35:24 2004

Input: 131354904205258742808178424986831061589128860288670370164610174682336934237392573814657132760833779236252940551160757105860929108369380721042480978713620645304/8

Output: 16419363025657342851022303123353882698641107536083796270576271835292116779674071726832141595104222404531617568895094638232616138546172590130310122339202580663

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:41:52 2004

Input: gcd(3034178,622)

Output: 2

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:41:59 2004

Input: gcd(3034178,620)

Output: 2

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:06 2004

Input: gcd(3034178,620)

Output: 2

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:13 2004

Input: gcd(3034178,623)

Output: 7

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:19 2004

Input: gcd(3034178,621)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:31 2004

Input: gcd(3034179,623)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:38 2004

Input: gcd(3034179,623)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:46 2004

Input: gcd(3034179,621)

Output: 27

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:06 2004

Input: gcd(3034177,621)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:43:13 2004

Input: 26*6=2

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 26*6=2
                                  ^--


Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:15 2004

Input: gcd(3034177,623)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:43:22 2004

Input: 26*6+2

Output: 158

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:27 2004

Input: gcd(3034177,2047)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:35 2004

Input: gcd(3034178,2047)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:40 2004

Input: gcd(3034179,2047)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:44:03 2004

Input: gcd(3034178,8388607)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:44:29 2004

Input: gcd(3034178,8388608)
gcd(3034179,8388607)
gcd(3034177,8388607)

Output: 2
47
178481

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:44:42 2004

Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)

Output: 2
47
178481

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:45:14 2004

Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
ln(8388607/3034178)
ln(2047/622)

Output: 2
47
178481

Errors (if any) and Timing Info:  ***   obsolete function: ln(8388607/3034178)
                           ^-------------------
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.


  ***   obsolete function: ln(2047/622)
                           ^------------
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	0m0.093s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:45:23 2004

Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
log(8388607/3034178)
log(2047/622)

Output: 2
47
178481
1.016933928075233476608913252
1.191190492922110085511340685

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:45:52 2004

Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
log(8388607/3034178)-log(2047/622)


Output: 2
47
178481
-0.1742565648468766089024274333

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:46:15 2004

Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
log(8388607/3034178)-log(2047/622)

2^29-1

Output: 2
47
178481
-0.1742565648468766089024274333
536870911

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:51:39 2004

Input: p := 23;
x := (2^p) -1;
a := 2;
z := 2
while z ne 1 mod x do
x := x+1;
z = x * x;
end while
print(x);

Output: whilezne1modxdo
endwhile
x

Errors (if any) and Timing Info:  ***   unexpected character: p:=23;
                                ^----

  ***   unexpected character: x:=(2^p)-1;
                                ^---------

  ***   unexpected character: a:=2;
                                ^---

  ***   unexpected character: z:=2
                                ^--

  ***   unexpected character: x:=x+1;
                                ^-----


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:56:52 2004

Input: p := 23;
x := (2^p) -1;
for a := 2 to p-1 do
z := a * a;
if z mod p eq 1 then
print(x);
end if;
end for;


Output: ifzmodpeq1then
x

Errors (if any) and Timing Info:  ***   unexpected character: p:=23;
                                ^----

  ***   unexpected character: x:=(2^p)-1;
                                ^---------

  ***   unexpected character: fora:=2top-1do
                                   ^---------

  ***   unexpected character: z:=a*a;
                                ^-----


Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:57:14 2004

Input: p := 23;
x := (2^p) -1;
for a := 2 to p-1 do
z := a * a;
if z mod p eq 1 then
print(a);
end if;
end for;


Output: ifzmodpeq1then
a

Errors (if any) and Timing Info:  ***   unexpected character: p:=23;
                                ^----

  ***   unexpected character: x:=(2^p)-1;
                                ^---------

  ***   unexpected character: fora:=2top-1do
                                   ^---------

  ***   unexpected character: z:=a*a;
                                ^-----


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:03:50 2004

Input: 3034178/7597.363
622/118.7711

Output: 399.3725191227535132913880776
5.236964210990720806660879624

Errors (if any) and Timing Info:
Timing:
real	0m0.102s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:04:48 2004

Input: (3034178/7597.363)/23
(622/118.7711)/11

Output: 17.36402257055450057788643815
0.4760876555446109824237163295

Errors (if any) and Timing Info:
Timing:
real	0m0.113s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:05:18 2004

Input: (3034178/7597.363)/23
(622/118.7711)/11
8388607/2047

Output: 17.36402257055450057788643815
0.4760876555446109824237163295
8388607/2047

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:05:30 2004

Input: (3034178/7597.363)/23
(622/118.7711)/11
8388608/2048

Output: 17.36402257055450057788643815
0.4760876555446109824237163295
4096

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:09:57 2004

Input: 4878/31


Output: 4878/31

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:10:03 2004

Input: 4878/32


Output: 2439/16

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:45:37 2004

Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)

Output: 256999
1
2089

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:47:02 2004

Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
gcd((2^29)-1,79429177)
gcd((2^29)-1,79429178)
gcd((2^29)-1,79429179)
gcd((2^29)-1,133365936)
gcd((2^29)-1,133365937)
gcd((2^29)-1,133365938)

Output: 256999
1
2089
1
1
1
1103
1
486737

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:47:41 2004

Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
gcd((2^29)-1,71429177)
gcd((2^29)-1,71429178)
gcd((2^29)-1,71429179)
gcd((2^29)-1,133365936)
gcd((2^29)-1,133365937)
gcd((2^29)-1,133365938)


Output: 256999
1
2089
2304167
1
233
1103
1
486737

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:48:45 2004

Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
gcd((2^29)-1,71429177)
gcd((2^29)-1,71429178)
gcd((2^29)-1,71429179)
gcd((2^29)-1,133365936)
gcd((2^29)-1,133365937)
gcd((2^29)-1,133365938)
gcd((2^29)-1,403504973)
gcd((2^29)-1,403504974)
gcd((2^29)-1,403504975)



Output: 256999
1
2089
2304167
1
233
1103
1
486737
486737
1
1103

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:54:13 2004

Input: 17*64557

Output: 1097469

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:06:59 2004

Input: gcd(488,564)

Output: 4

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:16:06 2004

Input: gcd(536870910,61936760)

Output: 10

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:16:26 2004

Input: gcd(536870910,61936760)
gcd(2046,622)

Output: 10
2

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:16:59 2004

Input: gcd(536870910,71429178)


Output: 6

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:17:19 2004

Input: gcd(536870910,133365937)


Output: 1

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


************** PARI *****************
Host remote.ditechcom.com. (12.108.187.222)
Time: Wed Jul 14 19:32:54 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	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host remote.ditechcom.com. (12.108.187.222)
Time: Wed Jul 14 19:33:18 2004

Input: 5*6=


Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 5*6=
                                 ^-


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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:21:58 2004

Input: x=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609
sqrt(x)


Output: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609
1.762787066122860943811705736 E96

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:27:11 2004

Input: x=2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
sqrt(x) 

Output: 2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
4.639764113313186207216787705 E79

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:27:42 2004

Input: x=2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
sqrt(x) 
x/45427892858481394071686190649738831656137145778469793250959984709250004157335359 

Output: 2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
4.639764113313186207216787705 E79
47388090603832016196633832303788951973268922921040957944741354648812028493909367

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:48:53 2004

Input: gcd(536870911,245969)

Output: 1103

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:02:14 2004

Input: znorder(245969)

Output: 
Errors (if any) and Timing Info:  ***   not an element of (Z/nZ)* in order.

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:02:36 2004

Input: order(245969)

Output: 
Errors (if any) and Timing Info:  ***   obsolete function: order(245969)
                           ^-------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: order(x) ===> znorder(x)

znorder(x): order of the integermod x in (Z/nZ)*.



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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:03:03 2004

Input: compatible = 3
order(245969)

Output: 3

Errors (if any) and Timing Info:  ***   obsolete function: order(245969)
                           ^-------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can 
also set "compatible = 3" in your GPRC file).

New syntax: order(x) ===> znorder(x)

znorder(x): order of the integermod x in (Z/nZ)*.



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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:07:49 2004

Input: help

Output: help

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:23:48 2004

Input: (2*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397)-1

Output: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:26:52 2004

Input: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3

Output: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:27:12 2004

Input: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3

Output: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:33:30 2004

Input: 25*6

Output: 150

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:33:42 2004

Input: 1-1

Output: 0

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:50:58 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397*401*409*419*421*431*433*439*443*449*457*461*463*467*479*487*491*499)-1

Output: 983068259633549456545588997159603333632249273234087553476939855349496176143366554645238448435681527624099672462001110048727722178521786942544762709015786521500863757768259878359363963819066848732444

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:51:27 2004

Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*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*379*383*389*397*401*409*419*421*431*433*439*443*449*457*461*463*467*479*487*491)-1

Output: 1970076672612323560211601196712631931126752050569313734422725161021034421128991091473423744360083221691582509943890000097650745848741055997083692803638850744490708933403326409537803534707548795054

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


************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:52:16 2004

Input: 1970076672612323560211601196712631931126752050569313734422725161021034421128991091473423744360083221691582509943890000097650745848741055997083692803638850744490708933403326409537803534707548795054/2

Output: 985038336306161780105800598356315965563376025284656867211362580510517210564495545736711872180041610845791254971945000048825372924370527998541846401819425372245354466701663204768901767353774397527

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 05:01:28 2004

Input: gcd(2047,763148)
gcd(2047,763149)
gcd(2047,763150)


Output: 1
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 05:02:57 2004

Input: gcd(2047,763163)
gcd(2047,763149)
gcd(2047,763150)


Output: 23
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (217.33.199.34)
Time: Thu Jul 15 10:22:55 2004

Input: factor(12007001)

Output: 
[3001 1]

[4001 1]


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


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Thu Jul 15 10:43:36 2004

Input: 2^34526

Output: 2299483484031904226172550994935689161671559308745911901978860391633963374697647513706679050146218748880356166440573598896265555335243255431010597072442452095764529218084895503841672454911570179420988422277341263895743089871223611795726965238645427996061549530786164607558194857599284476466820255974734018415324913739298872160164660485249537620884842034687140202805848551072251871342581106815243726390239994561898879187524236284416701460214184146096286843728242654262879825444696946900777549661046055087670808622712879801234402207282088763507025642643737034005563861648944182611869908635650692143808127309627575951770705939139336897504789607748189568007499097712768712733336892862782303126944253520719778116779830929698895832951240611156061205295600886901231504335680895557652802280873828855861772730887014206600203693784711086574518518769452309972981822655751740163558254071296573928223632261759830871190228954368117381851209272890742915890293480827701697644352992439494072782139070226002120312677384580201695074069225558895817231866830475935134443502383516611981196252045782092362868299530015596327912453270050354095158125756729642005194567932769241864433752129106427637019030379227067376947693293480667530513938603278406315039892214357204628433159679751373296854100043846095283316208749916731541320274870120137023996236338984394300405800259142402783043405374763199980677724510256227298919288721435144201707630067800140732425687252684508511472292529183619116117309455146832725100721245931356956134177765049541038705697610705815908292869217768213402704476019437214807821624470756825194257559087242330326635020771618100326800180497894802545403403165564495116241369645987818595102076674827326731788933007405211070523301836534308757134740128092955613873870601002529771573155279965136305954656799506615886878263498579173985084827273312837308546698386475589397428307964256177890896085732947598845014123640387768900980330834613993772584175558796803732446033779209899648249471070466303805113475082899971122813796096947115212801125412241821406997032993482719941641484484132997485221098580690965688911610329789461060969003694502947064591454170133847416208022557705458727566753923876405339203809794457154417879914324928905479468631813923234915576350693960123640866449554414174996659620260823608675382197608054570085848169624234824186631382823554283379316956092891709946379370910269303730604787125351537820777517928620246667192347682996050530936670064423505447331016837665196140011779734722131387861614077905986962968975152309758375553780167061170668429307979168932186560639704657965411477608217731827387605705015206610940247300614206970721579606977351408819156481024478178994125701690978560184239140579997243189880271372861381422884574545057828378364085863450542381735857543326463538984583864486046891592444021296366481882377734119673621430320141852563302813280484948653737396523731982033056134732373817596439547637862066259243929332128192110432070365938415060952373000826908253425420673353313596556118149761581136657133530081233836435713625282254413705624380120105588854220141244764719103209219703275973103037997422201985686435131428493340311910413509419386823974660814975216520668543461995177240107278229192955005611556382068748658036778607858010757837068830705972662882666972298273184116928089622535638859657085801594870212261527903878105358546205520142100707554624111524179357108390805412190191714724550343791901229739216513355802952533151062705091498897023113303374016446197259995324529623706008759127245709952284836944844096565865054529188359105607273367158870445057430779597982587559281459388611228765253006199395724687604651236635732396421178021985734723140488542357480159478859862175263599786689076038343253496570337255126841729324867353842728374231372712753044897950378461864283689173464225164720347936646854766982265075211835192584705425264656309355827322550228796659729399789452155620407943078580292997404314199947555564436708986904621558027097660414393692460052228414255346160622366947697732480310916052981224171091024628907821022953597303935325866399578676923498701489007164806898993732270362049534688764371722062089582860186179432808264760508023251629989479813508043711317671049175875428812392526501616301228507110715672827265176384355534176082973998120327552880130234817396771808331891702367081293741177508079251420570526508184449064597532145062536458454734579872239928216419884243760870128434572917070911362576317264698159247683439636847421782063038745895457571734197853687454085340832676995178923245495410706833416612306758234483110037607132020170554635843935411510891575338885223308772545887928296097344296901234388234500081502059494189194644366385532235755318182961304063722981578584081185175027277098996232547732355025146133913792758565247334228311229999530565042624751079296986157712338130923352362259774724042913790191027505558646065440571031379663651888194249191570864967960657430903374343802028099714486048963029571200524632068759731678852169148638402722794558715739272801642692294453433657854332806669988805970284416709520972273411331977824252474695965826931145251130367853061155460254346273686459638077931280092672235572960567783934046654661168243113250939625060270551462137028238580147451677859974058597717510527020931263264777123655374834821327679553728749524437037479251512387474645169878369861662235608625774867835394781932691109035589169563063784798358157865641749866678357988987029961658505323331699249358644212915948848161021984867408358953726392862409971262713667224997949288452016409669503826826585945218733691809893403898430143621602358178306693583599642274827698524936764887535251899424776518723742373586498955383262601082668640206869435168300377341323958458850574833235490678092203829038214837660765445674961856025996531665185128826139534619769263964588306332795471008606872814550176874498627365487083481603107629358459726850421060564123269582007615269579163510785286137993530122321360173445948016057388698460145939371894978632136193037472375167123747029654358843738089103600024619950125878462902060964463945520341042517490311208198050658024497270826024017403478558796481950621403892981415246211828043906442035207691022873133043793632657980439470926400391048267618602622296527392253719260225203173665298381393649504330889423201527623978644401629506491500651009766568554857967044561509213370508319742176334650563980384153069485917408734959106403121227526733379964902863210702846782952227615502182294471007489363703297333539011408925959840568497558628103745988569831941593733027192286650971740023678369382858434279871889003423168062927931091888500762711003047185985362124037861945900049429345574051061957474259726962882270210779475172976958935362488234847142688907115595690119112771502269101218982301678362626184314239271387628739933102053869105726374229290011599447788261841261632433292286793945077987403941796602257902284153148527835829201859677563542598119227105812267223630535582216599465064339275376055563650976789391936248702016872165391646075796606015707445085281207636923191795169330391469687471577042809343850591725944908076336210905588643336207390268101873622903050151382736228092532627605672518751660651495755126665940459599908462638324316992711157851917684401867136655478258311683709669072270922376024707453230135714263279718897728122290281382007491442914066494137091623783745927032579212745886167332456229202715173093026975284640527966970679337654585841217088819527340800941926217386512463503836545107145198867205585367688594339649429375976914817187230260092348005634240971619489652802066922298813549548910894193208634076105979399423764361545737941773082559948804985287232865367727937628168452516137892933013372346841670039819047199798898504902822822608474167149772493194873970313777606602377517631624950597493337156935656108311578084537792490354614368002695630623042542934026967341292705238328527275792307877277035771171746384720649733279149839002813873114118638076628725505583440386175432394853411311352476798687884620325161267915974234601036842013821617694789375763298806447450493132679496778597058106794740475141139960546840133080440796370990839583894407336488644767604023168777994887525030140389849556905191268882663539736804049721400735356167968533384612143840045229628174221137836660491912010286241482552743952628673588635569249579121293559642203966096325686447029813521518739175421174781189575662042224914955205467807671454798414444084109761036292379230589207745503341402847970772256081791149970970276800734553739857040326989952445676420929870811152131631517077005534275086822127208835207145677325751601690146092865278889006443183020757506679796248521813774284186369725514603661973391794683935036896379090852453442320379670465292761889585325282429431376759518330944598400683853318148026188495883180278825646631656055545125892028786612297032083072693200284644624554674992660073822854755052596937706520955251392287742265131326637878418730437013016404467267330692904260005081838284740470355589501671857544461209744197813531432304322135363448877851363603487613012462862724340807703887018193314023832618126261325815767004025328859938513850286356098272360429537769474424424944174465626436229461410437665847168619826889740753438252352041170301511639223336785465417258631008322561515343519583370757133503441681269748790682166658335203368364033056200860717307281339660924156231625379248312110335844904647532182647019522060886764702411071439097402788251414962461867957418747394499572452765453924574474679705422971581799133576493828062351108972659908520653982848676795564669803945072235475209389062618030749256629859820770936365637620965140289339989678145248956016595253322395217928941984906752629002147552308688695124665010068528891113220567780583750407221294285283163640740154404326114178331372095258926235983737753158771209119313524891035697360997277324089096785643459781778248592014812132735264737987546379303834565042699524179694089858469361699797005726818234602719520018427395198038343119941704538122599511288535604580822572984557718534618489331010430295352
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.089s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Thu Jul 15 10:44:37 2004

Input: help

Output: help

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


************** PARI *****************
Host 3(NXDOMAIN) (69.158.126.18)
Time: Thu Jul 15 14:32:54 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	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:21:55 2004

Input: GCD(((2^4637)-1),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)

Output: 
Errors (if any) and Timing Info:  ***   unknown function or error in formal parameters: GCD(((2^4637)-1),188
                                                        ^--------------------


Timing:
real	0m0.068s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:28 2004

Input: gcd(((2^4637)-1),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:39 2004

Input: gcd(((2^4637)),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:44 2004

Input: gcd(((2^4637)),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:59 2004

Input: gcd(((2^9274)-1),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:38:18 2004

Input: gcd(2^29-1,245969)

Output: 1103

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:38:28 2004

Input: gcd(2^37-1,245969)

Output: 223

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:06 2004

Input: (2^83-1)/245969

Output: 9671406556917033397649407/245969

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:14 2004

Input: (2^83)/245969

Output: 9671406556917033397649408/245969

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:27 2004

Input: (2^74-1)/245969

Output: 84706125253267178721/1103

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:44 2004

Input: gcd((2^74-1),245969)

Output: 223

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:50 2004

Input: gcd((2^83-1),245969)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:22:19 2004

Input: gcd(681750, 683568)
gcd(681750, 686400)
gcd(681750, 687258)
gcd(681750, 687375)

Output: 1818
150
54
1125

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:23:11 2004

Input: gcd(681750, 683568)
gcd(681750, 686400)
gcd(681750, 687258)
gcd(681750, 687375)
gcd(683568, 686400)
gcd(683568, 687258)
gcd(683568, 687375)
gcd(683568, 690195)

Output: 1818
150
54
1125
48
18
423
141

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:24:07 2004

Input: gcd(681750, 683568)
gcd(681750, 686400)
gcd(681750, 687258)
gcd(681750, 687375)
gcd(683568, 686400)
gcd(683568, 687258)
gcd(683568, 687375)
gcd(683568, 690195)
gcd(686400, 687258)
gcd(686400, 687375)
gcd(686400, 690195)
gcd(686400, 693264)


Output: 1818
150
54
1125
48
18
423
141
858
975
165
6864

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:29:53 2004

Input: x = 3432
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 3432
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:30:23 2004

Input: x = 909
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 909
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:30:46 2004

Input: x = 42723
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 42723
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:31:08 2004

Input: x = 101
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 101
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:31:17 2004

Input: x = 143
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 143
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:31:34 2004

Input: x = 1818
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 1818
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:32:30 2004

Input: x = 4747
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)

Output: 4747
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:32:45 2004

Input: x = 4747
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(4747,1818)

Output: 4747
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
101

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:07 2004

Input: x = 2937
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(4747,1818)

Output: 2937
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
101

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:26 2004

Input: x = 2937
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(979,1818)

Output: 2937
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:44 2004

Input: x = 979
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(979,1818)

Output: 979
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:52 2004

Input: x = 979*101
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(979,1818)

Output: 98879
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:38:58 2004

Input: x = 183
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)


Output: 183
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:39:55 2004

Input: x = 1843
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)


Output: 1843
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:40:04 2004

Input: x = 31331
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)


Output: 31331
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1

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


************** PARI *****************
Host p42.ipnet.wave.co.nz. (203.96.208.42)
Time: Fri Jul 16 06:14:14 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	0m0.290s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host mpiat4223.ag4.mpi-sb.mpg.de. (139.19.40.93)
Time: Fri Jul 16 15:01:35 2004

Input: S4 := Sym({ 0..3 });
S4;
g := S4!(1,2,3);
g;
Z3 := ncl<S4 | g>;
Z3;

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: S4:=Sym({0..3});
                                 ^-------------

  ***   unexpected character: g:=S4!(1,2,3);
                                ^------------

  ***   unexpected character: Z3:=ncl<S4|g>;
                                 ^-----------


Timing:
real	0m0.081s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host bzq-218-125-6.red.bezeqint.net. (81.218.125.6)
Time: Sat Jul 17 16:36:28 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	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 21:58:24 2004

Input: gcd(2^33-1,161)

Output: 161

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 21:58:32 2004

Input: gcd(2^11-1,161)

Output: 23

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 21:58:39 2004

Input: gcd(2^3-1,161)

Output: 7

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host c-67-180-30-179.client.comcast.net. (67.180.30.179)
Time: Sat Jul 17 22:42:00 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	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:54:22 2004

Input: ((2^871574)-1)/6972593

Output: 1185895778758339648142987762535643492679865953614424466426705759483774919337867727381041784985476757891387359723647376025505563838382426627731380948973073430414462972774869342542251710190768162421343213966237012120883319075574622520616464505259217928738143297956419894492284805317851566466562393689929753807794351199613445105808424773755761311260389278319304463706181083041928336616682983529658179502829883439451141534134169097650388491858132199403413892586585662815828484787759294922896479111673797976556473582601969089741416774864509727704589352127427952177394145006515531571586801987322812706376142607754607116269124719323133071659408745712365741897797984062199356241140826414067470129448396296827050976365713706626340291229793045564727438777284091425076242973632759323106321941481509215120261605542799138291436441350327917627291039965173107894642244637686087056645069553766812448138447661036704771426638711874277740115462363646341869936027942563413489577050602314272157164486947504119307525922690639241909863594724133387500295192692814208284650768499930456952243803629711330417160152336309683940671593857814114552130103932278087491682165974182326156668721097066758127316173092580514332681566473492085537366097566445746302833511694315225812604445362703130819133049017264823939432670715466659032465105401630608213019134522480765889795679190295198706394325486330238743247315891918881315297151454522125101424468208773813732528657906869429256496611637998423734870663315415638848025368572928582796964870284172448454136621055281737610086319286641043684360584336003436860631782409961976491865426992022962815526647271500104857029315713038046763929863922606240293231638176578494931409633994132935048826758665509126498595310679485930888903765969928596023732546874734192438683978879439205578761142732816868205644099265699922205747620475028075937894751181231381136411023675488936759556087443366614751527704644903944360129429308958178462316318025156454955696640943602059941250790045414220107570100942386834588628189234499578136917024558946390052692614092144161637185548456734234577024164277199917726138952909215955014284115086785542095679345871526245409235606197836294242395440729058042153796314931734976223153172048855098296039587346870425792944702332273349512380925529521163576353786705421149749439751756535945929811971726862125444560143398948770852685782609881625631799859482221385052024488873506870077961043005511837347361499811605052170399308293489548304880610723150915959022385595203979631970683905061019149239625116021296249013948610847473030937686892790491400759002494497915285409193094791189405564550242583751001382309112932942794548401468568340984073636209972820837139128448612519248345211771815859842687820530200500060487302807771732199523353395105969759800823468366553605668592687285833214252504093141435571486696601756093631052093696008551022921970428130143428373348117246050950845722085992265462359739851996994702764847218723206119459291781100045273731141709907182410947609482197836576696132404895369300457039776578967831195041537900762827443970000167919145322983850873323279459052629275277998774370898139828864920211846733589917060639517212341424476775578583726059603505138094924600929470927681872176421834432158907492422533670072532112663142297984872001057170955212604178290498559153394286451519194136173487222551540347076968795706613403553875038587313904346172141873624022477719335280394650808891587764256931398055576368424476471617413124879415417597992068204453232209982600785958363768885315249850302903331815615563915437849646354986915792115511548647268129297653658196981026308541576723505108288087571644600129581811058427734305340397980963275882318813855841949201612117606708703493285239849963010572191693140272853163307609967663023335184660561548017112201429670198699854810811989441576477688057164630732827228163026101266235098422695835650261333935341352579188466003789076117298363771215226306386089640283174266252182312076275102492307220661899209623452325781978424873080910847183536069975641108733934243298052007549849702080027905197769157465210020772860056483183909280217301456461107378968123595353793604069808863759239517467848416997137691540872212282811874780593899273069996549832828632864670273178016082893142451204472924715935869415852945642657078626869347992312913996009001045743828389168834916951512589978184615831057009874316780927484588858042886542008871356255845091282518279210724744812602619545185141640927192206087811015285015169862738570400112891318570306671891098081661200809878855459666142297300805928026272371867756650434414255182251530663745004672437099340317869153271376954504533801605666364844373303877432739954383423057756492501356505899133749887820951070247764939884860231547871858366230801180986143750785388753655040962517808733386101275917699875966220539943741432846324075555167744614603194781120587692070191689444210048039372540102672184442321134229400451598387173216389592652921842797624423529366218315922725518506746495358063094755310991197540638509779254401082225679761013224487592565888142138769626766416978054156620768589645828860353636882832199839982680715825333605025113858714492347285480037074179808275174306332548020932847512106306342893746055828526460470171073401587892597727090597200323080018652174754469888501140092917589691460788429970941149233767003961712139499875754837139964600046923761566445915869934783550260410016279939712712658009152800832424447242223963082965900790655252250593333522653176629263990491452715924551819733547588677220447537400425942095841065745018006753192215966280762112736862672218796685922494428960059753213069771210952921475185130088287601019342313302748289167522590404534521169154353135670036100038504796816699731954317983298114818263960266574565089365640047889042223094539339564407007311310086555346029379796148307837632434510521618212594300909639488392033042615352479393498079487969965437927678467425833346464068798814807153109706327334435539158972842047789738415207863863871690297544655213466221430181645706122994230137995929434278168513450020602720657666730530068686550526779156821949561440135845847577927720910470640496011694678367891299139697369270520933876981013015078557187836935123796760554303431835799893439505382240143942706491762394074591594071315754487319331177684638075504913837631831492459963792011373694995167911921872735093639741968342945205889905727810479023887952981658122654116429520595654126968552923145255144083474778354224845806735023894722622563484149041458599015926953991092211533665583353271206384306618593176383522497282575413848712209281697975427085071265587844618564089113901401408482502025748810745088093011898287480008057134527601075380346433450703136115571726112260807333043630642978689280545982690156464144009913606206016078189669219711167729209884442228379510497208318844824814702333771535323319623961632680038416217716016511979059283594440719967368331372507752710985759737803712787157362923507931492546224092583460562514190872249644935742993164637151704950025614258221984843845335975640170618019335523963528813739108669749823946947378833540308449783102337416714776041086553363590184769161385642317645878497921175413616824309652070296445920630775383067329972391652914854699809311200138885909683193282049770674995300510571179989387809629690821966270747656066058195261115441170311760384144258880573539548819464143201228368612307872191511582803696406784756023145004218185612710357896179317139073551128281746968475204904706334997550905963827574304262379644424327074935939511898247837139651985733339080616536889824844855190690978170270288282804210194398638529754556716466785777521172419712271893345112531947282750245254329445455594743024012624693087825320676458788359886684404259064196402876819111127350159384548318909093204801510428340447194100856586996256672795523966027494834931713595644129674735527694194710789508802377387968365007141266373949650565193208168052057133002914027707491971051328796821201482502485433745478765340484909293764555897890168172280118103299838021816074435246726529059270234589197158467415080638011923499148406454698301950237668216154229872494409792357292989461181657750176575457736776712877434552150552822362348764265975804323525639334406208644278580108463030043477410610200681493890335983731128303077109757110761464735985164843303687312794767680030508065748653073199509625502206038826273408698650946455861120265396408236116851843240097286172929938357367972404967217691847729963996244990152153277941534590748647968909091934480748043192787316587023419356220996910425318389985661631421608828559144704988835196716367891809487758957858723777760504354475974349536266391688942521962777990424074308262881166664382100947078629366308581118251922118472137742812607206604085838564241488455130865447224936089849695691718988037786321569919581636354154052882066843158118048182329022191361028894343770642962201147762115441025676586708067343790637613938568811993331242247279370913383813551923018980002331817965826420177428409215847644616802929302441280212045708951693013129453849232244700423212889094223313080439385442163350921802351077280350545468307304464987261999997598937013981657758135534801465390569881389309823756009499868126710268961112212095634005723719561410117039614536741186606894679027502622524437373084343888925960636957667932845793779481500398923314952512050226470058724347008896534096360360841291306003286915472034856403530805066229021481645950414336960196705067414500391259221690358236774822770021005892029635789454863131162570908532618729005196128698003875003596218375558241300702625358060432477103502848782583421359065873776970532681272751025024807931627063634765803614131884886165634279710673514934330325694447102415269486058811929913954178527213673709859735395387400900438222623229437684845347312634580115023801757851593020871797735882892558936604235449305496725412779537010016681185885642854061448272068289251174901892716806742685922505872455096125799473035863170598185963377899807757735187585926764660518420083828932533544360603012667655229921922144754218037015
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m18.446s
user	0m18.340s
sys	0m0.110s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:13 2004

Input: ((2^7619)-1)/137143

Output: 35280681359764896510458680246003532732373390477787045391167659122456611388809821931449565470190591560336969294142122271461768039828336782153294251903294231970466763072163347266781843081252405728263584639589070014523487318084623314077181147430740641093403810882266681154118815400401927979766582754527007804635963072632169375239652043665533518052210091684873042252379512468160809705093087229038146276817861039451186567563690862204732061174593930841462133570621477821066253193190974399663955735954742783166676316362223454327349730027684927325391375923154192134140634440688680001946510849447201223056885583038349529996026008187805410197208414313989696310447319800010729739927646904503348917709327713808895027363492921596567918964034702031354699136222590922429890460090234136993833633257772185721723884258924754233517364902701095921094989985447342181826495145266115301289184871037036460615084368934153353713999876707204451145834115709708062334858064818187162320962430962392023525936218044510537441178512839848079128083895084231727781093169665324425263116565019178294274476883697995121724942568065066047224022595500001421280206954239870490641357438706189679987466157219145641602284567608544992740692093229308835534234800200694394416853790479262336685861290430247291848606775762602659331057080242992959505458286880365122067050061724062898902477326923994404922021309795254584344878693681461044487033424830076776275746376559290804470744779834627994136250045494120802302243470089958554606189715764400546930461078356278721813292817015976209759977199628100939003525065175475794446145899953932464347904932404484785016962325232419785652778000241669495052314270708743010141915022828044563545281212589932639945521949836739011010452420175277912834819082731226474759171638716845152987310245476988541395856885451128084444493721998988719057706818071976106120585588439903021227631342599839161815252902078585418855376114325342921559342692135194142062781242581890139245461599147701951398337136876272806142884275687726662970167751214375770363304641706549611242430783130231417730766688686046049308887692416605102402991650244534797984695887211694244030437778202741825846473505863797867056211361003285908551686272513736834257790918167890169989234474143443131029235407718819801372377594609494660746919076105295183413772287/137143

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.080s
sys	0m0.000s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:24 2004

Input: gcd((2^7619)-1)/137143

Output: 
Errors (if any) and Timing Info:  ***   expected character: ',' instead of: gcd((2^7619)-1)/137143
                                                          ^--------


Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:38 2004

Input: gcd((2^7619)-1,137143)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:51 2004

Input: gcd((2^22857)-1,137143)

Output: 137143

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:58:03 2004

Input: gcd((2^1203)-1,137143)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:58:11 2004

Input: gcd((2^401)-1,137143)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:58:27 2004

Input: gcd((2^57)-1,137143)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:02:57 2004

Input: gcd((2^43)-1,135607)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:05 2004

Input: gcd((2^989)-1,135607)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:19 2004

Input: gcd((2^989)-1,20257)

Output: 20257

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:30 2004

Input: gcd((2^23)-1,20257)

Output: 47

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:39 2004

Input: gcd((2^43)-1,20257)

Output: 431

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:09:43 2004

Input: gcd((2^571)-1,90794862316027093768853899468313)

Output: 1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:09:50 2004

Input: gcd((2^1142)-1,90794862316027093768853899468313)

Output: 90794862316027093768853899468313

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:11:00 2004

Input: gcd((2^29)-1,1103)

Output: 1103

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:11:25 2004

Input: gcd((2^29)-1,1103)
((2^29)-1)/1103

Output: 1103
486737

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:18:35 2004

Input: 
((2^37)-1)/1073

Output: 137438953471/1073

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:18:56 2004

Input: ((2^1072)-1)/1073

Output: 50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373695/1073

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:19:13 2004

Input: ((2^1073)-1)/1073

Output: 101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747391/1073

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:19:19 2004

Input: ((2^1072)-1)/1073

Output: 50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373695/1073

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:24:24 2004

Input: ((2^1072)-1)/245969

Output: 50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373695/245969

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:24:29 2004

Input: ((2^1073)-1)/245969

Output: 411438541660352764682735114422787642039355873634771288977272253876363158706982072724531106971685709368227455216545198605088057310851760743969795787153540710255189524445288555396141196130596165250986440727231368726469610974197343361598622907051619424278689705841709259200007754260151690928910406410250898006065210943439

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:27:52 2004

Input: ((2^2520)-1)/1344048385417946013983516746242551864720220367077696473507281 

Output: 293206888827590069605631074487478472646543881426786272265669645751661331081561829038993925210057031228497002629146128479889200357764403143495385833163393171594326714199160684645353708631661055305081430858726889482773953637285610787962010891931663099449362038687838314858978644469974173242794661534630819682560581544979900109616881912703101448816987326326009160240622700947208351982739173148068682564504747464472549534721966258452136774217920329251733197133732674169760314925641580969247838385026626906645583096774192730697432516872543057355585559647247058278995826392114333199485006586361979719301540652877141437280709807028269074647562078229925015304962768188200858660143960948550944926390566202575

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.010s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:30:59 2004

Input: factor(3213162276640339413566047915418064969550383692549981333701)

Output: 
[3213162276640339413566047915418064969550383692549981333701 1]


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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:31:06 2004

Input: factor(167560816514084819488737767976263150405095191554732902607)

Output: 
[167560816514084819488737767976263150405095191554732902607 1]


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


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:31:14 2004

Input: factor(69787377067722881486602094502761253930262932578924438539)

Output: 
[69787377067722881486602094502761253930262932578924438539 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:31:21 2004

Input: factor(7523020307427066273763456609903850552762967576510974081)

Output: 
[7523020307427066273763456609903850552762967576510974081 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 12:11:19 2004

Input: factor(67280421310720)

Output: 
[2 8]

[5 1]

[47 1]

[373 1]

[2998279 1]


Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 12:11:39 2004

Input: factor(67280421310721)

Output: 
[67280421310721 1]


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


************** PARI *****************
Host 3(NXDOMAIN) (143.248.25.216)
Time: Sun Jul 18 16:56:07 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 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:33:32 2004

Input: 92022758413038778301733254635923164484149497090828532148684360773908398072382302364998101104941420139842819685238/2


Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:33:45 2004

Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/3

Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/3

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:36:37 2004

Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/17

Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/17

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:36:43 2004

Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/19

Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/19

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:36:47 2004

Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/233

Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/233

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:37:04 2004

Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/304807

Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/304807

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:37:11 2004

Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/708403

Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/708403

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


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 00:18:20 2004

Input: x := (2^23)-1;

for i:= 3000000 to 4000000 do
b:= i*i;
if b mod x eq 1 then
print(i);
end if;

end for;

Output: ifbmodxeq1then
i

Errors (if any) and Timing Info:  ***   unexpected character: x:=(2^23)-1;
                                ^----------

  ***   unexpected character: fori:=3000000to4000000do
                                   ^-------------------

  ***   unexpected character: b:=i*i;
                                ^-----


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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 01:46:34 2004

Input: gcd((2^3360-1),51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561)

Output: 51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 01:47:02 2004

Input: gcd((2^3360-1),51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561)
((2^3360)-1)/51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561

Output: 51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
56650596775711361663354778006371684767118108846937489896129567657129127072546128398065863090027556015334703342515735430800028821388235832706835534015783960560090799116859240672227059622594036670831635186536714564173897267241097323806328314747092856326809286933562391744848910749922782122506280819632950221230431966371916007101882724028866220764888357046735600869530353115266244202223191434409423981480509338487871439066108070603489768932215507452981779864140493657761082338673358067323956060294000759601641777547469831267146059439049829108743236897032984063584273787944183823833543848211713896623948509773598379861104407255022381446775202510738549672567042955487048203749436894140533679058361549193478224825081193578228457430432584462064142670814296860906245808334978211743545725765691811662574445594703914998238975

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 01:50:35 2004

Input: gcd((2^3360-1),((2^3360)-1)/51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561)

Output: 56650596775711361663354778006371684767118108846937489896129567657129127072546128398065863090027556015334703342515735430800028821388235832706835534015783960560090799116859240672227059622594036670831635186536714564173897267241097323806328314747092856326809286933562391744848910749922782122506280819632950221230431966371916007101882724028866220764888357046735600869530353115266244202223191434409423981480509338487871439066108070603489768932215507452981779864140493657761082338673358067323956060294000759601641777547469831267146059439049829108743236897032984063584273787944183823833543848211713896623948509773598379861104407255022381446775202510738549672567042955487048203749436894140533679058361549193478224825081193578228457430432584462064142670814296860906245808334978211743545725765691811662574445594703914998238975

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:27:58 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1980
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1980
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:08 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1320
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1320
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:24 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=990
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
990
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:34 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=792
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
792
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:42 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=660
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
660
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:51 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=495
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
495
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:59 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=440
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
440
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:07 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=396
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
396
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:16 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=360
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
360
1

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:22 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=330
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
330
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:31 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=264
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
264
1

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:40 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=220
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
220
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:51 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=198
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
198
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:57 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=180
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
180
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:14 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=165
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
165
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:18 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=132
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
132
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:29 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=120
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
120
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:38 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1981
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1981
1

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.050s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:44 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1979
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1979
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:51 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=3960
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
3960
363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:00 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=110
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
110
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:04 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=111
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
111
1

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:12 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=109
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
109
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:18 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=99
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
99
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:24 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=90
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
90
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:44 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=88
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
88
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:53 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=72
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
72
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:58 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=66
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
66
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.070s
sys	0m0.000s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:33:32 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1321
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1321
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:33:41 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1319
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1319
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:33:49 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1981
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1981
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:17 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=283
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
283
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:30 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=991
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
991
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:50 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=793
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
793
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:55 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=13
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
13
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:59 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=61
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
61
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:36:07 2004

Input: (2^1981)-1


Output: 218988551192141442152563705668960949711288013856638946624306247105744602468942702075321099532414678558053200652883045725526260177776919428143678923829393994405994394579529342652680929466705407851083616237761471261561613967221047141928323795395786960546312325588536069505585917674299834536621406978550591814697587793320576678471335382095172994424695542336328511651433231030506149544212877830050025717386639783850472294096034583775337299651819578650552538745693382111654201094798416212387241281922589459906349993865444212967584202612747296350317527358784914351340348817487416783939295680546159460351

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:37:47 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1321
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1321
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:37:59 2004

Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=991
gcd((2^b)-1,a)

Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
991
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:40:44 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525*2
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1050
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:40:57 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
12600
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:11 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
7560
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:17 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
5400
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:23 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
4200
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:29 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=105
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
2520
1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:41 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
1800
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:48 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=63
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
63
1512
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:18 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=45
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
45
1080
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:31 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=35
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
35
840
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:37 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=25
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
25
600
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:45 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=21
b=b*24
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
504
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:58 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=21
b=b+1
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
22
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:03 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
b=b+1
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
526
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:09 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
b=b+1
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
316
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:15 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
b=b+1
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
226
1

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:22 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
b=b+1
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
176
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:44:26 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:44:36 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7351
gcd((2^b)-1,a)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7351
1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:48:31 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1188
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:48:40 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=297
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
297
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:48:57 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=792
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
792
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:08 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=793
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
793
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:27 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1188
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:35 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=27
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
27
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:47 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=67
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
67
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:50:06 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=199
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
199
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:50:12 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=198
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
198
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:10:27 2004

Input: (2^297)-1


Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:11:48 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=279
gcd((2^b)-1,a)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
279
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:12:24 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=279
gcd((2^b)-1,a)
((2^b)-1)/a

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
279
1
971334446112864535459730953411759453321203419526069760625906204869452142602604249087/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:12:56 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=279
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
279
1
971334446112864535459730953411759453321203419526069760625906204869452142602604249087/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/971334446112864535459730953411759453321203419526069760625906204869452142602604249087

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:14:06 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1188
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:15:04 2004

Input: (2^1188)-1


Output: 4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:15:32 2004

Input: (2^233)-1


Output: 13803492693581127574869511724554050904902217944340773110325048447598591

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:16:32 2004

Input: (2^1103)-1


Output: 108663882323950867942188114268741342288279507754539563979881573578225047420339347897643136665660484738388626103630779067800309804345879439769244386742405029775086107995251122654262913153317445846134697284209785412102387486177039652426842288257624643046206077858561591880759072032552928984673183003497469267739721191590324421953323007

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:17:06 2004

Input: (2^223)-1


Output: 13479973333575319897333507543509815336818572211270286240551805124607

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:23:58 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2376
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)

Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
1/80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:25:11 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2376
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
lcm(a,80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
1/80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
17671348738072999365378242379777979650327151982643206406598229082637492497597870869484998595840660411558830918943594153864651280225817911466986219738641172464790753042368871911665527067473919280979786109519368557377696487642104273808425978969245486911996799784499266793635019822583201320019175427907824706913963473207568174810999823828916137254643135734927489775728234186510525101607495289435609414429176574093004089695606337775248326380706115154035712932554485516202796076289274295920311831040207431939592317269633502394384094006420855386743561434540715539957418082953074305536417313421025201627395029424154776916508771526058854113677962789725411281059111147139617048230425027800806266067342042164569934781151707135

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:28:24 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=792*8
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
6336
1
211861736197293416848243766755922279101441967315979797700064010856915847158782645406332588525545597831315145130285165618362095229677275613881162157437530351473333927312903133594050758675851615522915918223791753973225241778222308005426812218308244151051984155938718382630269311964118762403865868956939784399862147504913609763105589670672083499342157358371031723419663903243003679292036665715831481187932222853261267528646065823047939146630091077430249861907659744421363875143406933520304838642222445936927434039676117872062883243741849793303801422899998180787914859007076083739168074493062295097043096971408419734376711015898929652061819687849371855946064302291032185414456587593342947079747076669047303918272127317455356489683521682325441540139804413599339822344394772781604099792052126665762370089841412511312999961736437166209881585937254467465791760796636043992507766233218527027474134031660411754237200434935260593667990937876086648838457733494356932371021417929970418835946575972078579642545165660615624625540027476565798936918699771511124249357661815725187247171247677929595488955032426583437434635365600849896569661798673604265813129119696926506610421654238200538468127767868382710724856087034692739510841067645580528406732619847356044872815872637087981172001457900362355285558566313116307014243961769369646003766932885641169466771443381542490150878509128620975002173704485883507867968911147713373596729704849332062237548151479821512654295394791572394188746899407461774429416415584880220213570596201288801911765556685748065148612114324377638576118464864381938870910861211751516652260650710561233608746474691065174990298462589253948147568293917068201574674625946340361764993600351317132166611865302978384137457807842041672558031849881688002314562743898056436467292078383198448581008762362027224279720791793912117759098441231052402558649129117807259664633051903931964606043938849677350309071729234804735/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/211861736197293416848243766755922279101441967315979797700064010856915847158782645406332588525545597831315145130285165618362095229677275613881162157437530351473333927312903133594050758675851615522915918223791753973225241778222308005426812218308244151051984155938718382630269311964118762403865868956939784399862147504913609763105589670672083499342157358371031723419663903243003679292036665715831481187932222853261267528646065823047939146630091077430249861907659744421363875143406933520304838642222445936927434039676117872062883243741849793303801422899998180787914859007076083739168074493062295097043096971408419734376711015898929652061819687849371855946064302291032185414456587593342947079747076669047303918272127317455356489683521682325441540139804413599339822344394772781604099792052126665762370089841412511312999961736437166209881585937254467465791760796636043992507766233218527027474134031660411754237200434935260593667990937876086648838457733494356932371021417929970418835946575972078579642545165660615624625540027476565798936918699771511124249357661815725187247171247677929595488955032426583437434635365600849896569661798673604265813129119696926506610421654238200538468127767868382710724856087034692739510841067645580528406732619847356044872815872637087981172001457900362355285558566313116307014243961769369646003766932885641169466771443381542490150878509128620975002173704485883507867968911147713373596729704849332062237548151479821512654295394791572394188746899407461774429416415584880220213570596201288801911765556685748065148612114324377638576118464864381938870910861211751516652260650710561233608746474691065174990298462589253948147568293917068201574674625946340361764993600351317132166611865302978384137457807842041672558031849881688002314562743898056436467292078383198448581008762362027224279720791793912117759098441231052402558649129117807259664633051903931964606043938849677350309071729234804735

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:29:19 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*3
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
3564
1
74285584768832567944058139278324698099483371536775690289489060375256624329704052207327678731607935690311590105318431802551741521404562543929336396831590585610560071512345696701255430374100294171869425697722866436564288844571096507804513252982598838661643674320328529631668765052721600561334430197107210606505869136457388633450956629367100204032698069473357356775353889447596052053686576113808468998935479837091672155947530031595799066979453481443815374402858478148385566259805913474957680564716174904462323714311540033032368601172449334975647749408025648792110608108000796389224213259384831048397237310779653221943910282479927927108478947675375177904072136628179899767271382878112405759959755250285610556874648109199845843877010216541998820350952527699454068921282360311052873734772331747193118854270197267561062767561853200816252977501931887681228769755396181629217696636225933810266478814182941014109890915996352294869430119158181207923371462970417386425924055897620187131831135496995058616748625724690753470899219972414535863171472128395903883354083426201977544419311615/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/74285584768832567944058139278324698099483371536775690289489060375256624329704052207327678731607935690311590105318431802551741521404562543929336396831590585610560071512345696701255430374100294171869425697722866436564288844571096507804513252982598838661643674320328529631668765052721600561334430197107210606505869136457388633450956629367100204032698069473357356775353889447596052053686576113808468998935479837091672155947530031595799066979453481443815374402858478148385566259805913474957680564716174904462323714311540033032368601172449334975647749408025648792110608108000796389224213259384831048397237310779653221943910282479927927108478947675375177904072136628179899767271382878112405759959755250285610556874648109199845843877010216541998820350952527699454068921282360311052873734772331747193118854270197267561062767561853200816252977501931887681228769755396181629217696636225933810266478814182941014109890915996352294869430119158181207923371462970417386425924055897620187131831135496995058616748625724690753470899219972414535863171472128395903883354083426201977544419311615

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:29:26 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*2
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
1/80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:29:50 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*297
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
352836
1
165786856325068960596130063961524398130555122186367373600322903542777116846648791665218893564012399818986410968847912392512704602341253861506676828076983094831957785330796118011897797133845710047650225783542556968159060088563753348046731329387505153875143823975330344381233388053358852527192346930882367616328514492460686271546843680221395357997274862351594885802879111435979228360738796212231393604905884716107650281514808098647858278588855869469071303833229152916042530174990861471187285795626313310041223278453137632491563514435835883169119249770732543779096849486999603647080725564554629697933524363589479715829939295594103384801747855075222306955692763916626385462392087538808613519050879333423409622701693149914021994539975991452631726737905888328109588968309275072456453178277271471975064963032234833973363948777368255727911017668114208666152919993138443110223880816492165539429095815840590462541095527969808451178883100575631961683787892901967726546373167928125889480061549209063976301486001425595515027651902181327072818918317407286646262117315278983492778825719837800920618342642079122260255230652192436995734844868666083416837863023866041516427225296019503731773599610448612516166441126718772629662313175598572134894308484576461614130249027371322322852231562290944963940192108181676661872501935123778442788448115579182249511005750457973245990635242077422064941171870199624289934703042657945008537894568994487242191267259826802315316308489054553856308372669945223893657915870908452087046931771046563309845626344472814204576293855231555931228125861489580090328554558311748819763779883318256949416472756625212483743316416980270824367489369157522511013057483292460022567019391915933280432947244733840033690109288061448747974730478979393848937978313833676320214718921934319785630696943584700829339862019079327617144852634939329022172009414188020533663697650149823999527854499019085516685755726410278977931767360901704713705415701739622246712009411464074919365072311517245755429801107250439508532111185520397851192312811095403184127984743722789450122644261208417179891077474843568609591314120511788519765831593443726649164818343550277541523517980188652111579555829838605684768002595307863929134032075316063522459345799795301056177006571005619040815289052295730967780237180756159829122708133362068304522632653783455707860089469950146749576907781949201887160993779770166476283129389499416966697556049093636952698990900119514400874209341373066440495548793998573507356467417240845449524436118818851281586150777130199897803091322056596851880648943130231793881730620387067583909033089888400376261836523453321174702122152187157325941211775546190024089725169938820233540804929248847668137434496738187997804163791037952367694678411239980380467689057577914412322851972374048798532980587174088347937769180226812405853332959988825383638063433706856766648169131744782956823176370823751070412766400336382929956160577372026916287669639432647905345604035780036138139131146895360399235060272632456413839307257821003928987510445467154862360943255776070017382868366154237664316319344345080602527239901068350604166740481172161775205860194982469226377627760915331785919990270358944842093077629676981554871751260186167639396295973504012150157641985039636140705353291868068875925040262631081136809329566960041679069380436055117162528024230195133722878582013794254894510890425973929367145457746339256341197287888130761371916545867658313225411855684781903054956858265564114525557024399557122679165588370943188117046028420450569812860291458502083353587618785395103543661182692683153046821769900027936589048121841213696021512201017316057229161349557012342661301097554340490123272599116654885548562220222254550944387774824456858762389791812841405267697819287175918653316318846136871321922812619111647351997501837207767447822895223149206038911640748580708446366963927430523937166518718535537705935963511934979985949186994490559846916636320196841053025292906418301485782423832279357244788299728029043378852683026446602598511974762573728427446832655215711983934332443367100720424468014249830709164475160286478620766630006539530122076090762932492828224866879219051145104545225552332956702721118891609961508894803280833267683620317434162406761856170115137961830010480533758129282492897792325347452327303891107057144247507569113200241348972766125757698400613282946738946441105676918777619048980701582010830346977199213357660906462841087440676579023460427651087493082130109964036860678061565079685088404167790324061813314066730628368193597115453351559561036240367460497949518393622363376430534020134752506730157537099547040578136909135945936416630273110949885739421083018229908101683024949752103506586754312853587062849648795793399407052921131685246512333509426988045020917003127950084336977593877682671583215256734413990650949884884630292963048000211146133055630652090582941417143155829182453993815651776257003683444906200423941835879369703775428719392833637874475698993682931170269639396915645805812308009772396160069204454463061265129783402538467175647092200473842451051532853637083071588115707062981594050857893288714838263620309158596686094643331250063081549517414540683199489775676237216269121144925397664289317658894682807185977559421849179732611255800979196821896936298509729970299660827551325391557556018573101077214120900319707236429569679652054222201052901050588979950102359477276979965139851616494654236146348621239308419898642213339344578899079856222340535769949900220129301436441716566377937249246337128736126682357722482902335392441184351635437196657057954054433630038198875711027756751724810719381680348010011756192964312215071040890329813338994701863304380761321606146968559531127888734040710484527017708883008588998341119898478917792282315929294805373257319034467975101060038023562086798754337057900666876399742900857069808212804782733519463215292911748879004375812797404494739919869740158882722600021005967609858319889831346638747172430666820537980502852405773025199617199911308892470775146107587384765874727963040783540610120935418910988170675996582834434435393621389713301544387989859014257838443334818157356654041979933413216179216103662556989642831495556001726309522247318385806708678482150547841423032745298758894006056998533155053642407248785146240359122307462855037148947114094440073169448871187726317397829579499425568157839809254319215500934339437284734871967595931595747871077190886149310753882291077428060250148646774493754625148042014135633486611533486789673722246073246792600133726558236715760821974524226125464948515763855614893207180241135549098898285180214575787249317632173202549279493801799688641573954284445228620975486417639861685953947204754105535791770939586817165032161661891760232184775620952381727709500483279676491669041281321524322269716910291281290244459893332234606565084302406211424478340997227536105039751435723776527859363699668676081238625512007361908138160272291676768798447512942551230538370113021799006287892529582863413778243187810139248503297495868543044416470221080540145525718034312741840054758128886972991188902916682539565222918072147544669546834208633847785041698825046657927257249627206600115174194474164054031367687048643793265239714992019582902005078258086384939457204638738941551711165906921541196901031357290742530633609787026926550136545503584773032298118848071275452391864230379044211294851684470896791945374034432058049038481236344276213079491917211528179140241478909872140834451706505436456330457463701610029018002111615326952948111923222060157160128180391407911279542604622774621048823922333608993985827930409778115483787821084234982514944908042305835393885919652308789716300384100909161890553414733700958421538126853939562328767075649367571887272753789791213153576177756656216374549545655106741182541250274731454090651336488843070805650852231677445172926274392993746155906122035616319612550576605789021784301662684728866439044792581514342234463337264821250371579086473870112522709256613024961692603753146133342641567722475595627808475530607489808553616917364087042326120634005660031577467579907248039229299047586981623332925773253667467106037309085899594270442321354886300396221105786671089793927940138450117922474686735358669837983606090020645443181079984292814297645324952001607043250908232851683264110886938275376396807954099157770913814130237375970655125801324761309892453303879406112836588684227613379314389516805796891155984382199889200391649910587439212636165993864165524852768501857573855408751959896904728784655837372601653504386383825782601430672990846544695119837550974516986904219616669560640047136808849953815173228554512355662469180645995026475702747438139055560049940307770822204203458072995632193994877670621464251931790901689899332514769096279326825141358124116828101721432735592633526311486872942392399169560435665499311063196473754767072867623155621515415229581652984389577842284973545236243798592291011819687305357099850010555872205790738684062883954629110981831601251725343368517924953877745413776969867090053336502083172047753570848531749249729349919940591726558763473777550674667095798619852988104373347911717484633187337696411056153944064760780476924232635136946090292470548267966073307020965929001193904494840900375258104370269430453411398545630972144507961051364422671415865281872490481353682285329626771490839351762920696711994881927639742408026816571825114996850686202775712144981476898880319091693589427375962391548713034511388132471085304631193695152162233947729273425929798674611397593531418862955493744952964709241478127696631742317348570655914800088583130175549791992799292119690284025213676780378563525228242838747695920253619770598716629480299335442331258635061073729361982050456727548692829914081917375932990693423752220844436027796872121284297229904274592510412912913136033744465376183503375484671054577303907324743
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m5.970s
user	0m5.820s
sys	0m0.120s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:12 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*99
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
117612
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:22 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*54
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
64152
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:35 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*27
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
32076
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:41 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*3
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
3564
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:31:10 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=297*9*11
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
29403
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:31:19 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=297*9*11
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
29403
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:32:11 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2377
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2377
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:32:19 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2377*4
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
9508
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:32:38 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=22573 
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
22573
1

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:00:45 2004

Input: ((2^811)-1)/251873


Output: 13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866047/251873

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:00:54 2004

Input: ((2^270)-1)/251873


Output: 1897137590064188545819787018382342682267975428761855001222473056385648716020711423/251873

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:01:02 2004

Input: ((2^273)-1)/251873


Output: 15177100720513508366558296147058741458143803430094840009779784451085189728165691391/251873

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:01:22 2004

Input: ((2^7337)-1)/251873


Output: 18025883986677910238118720344768321632153932452105693710764361743083580548609490457323244407548057986938118283339342163856575644109380193358706318030477914796730974736730823816118519339280354618709299375739710798884179736512621948703227840524183837546747378574033796323117491943311905306679686975018271027086847614362778756402519611449098360773896927111455166485237172978314899898073259533063674423369056652932957809693461174776294353584989063209949967746938353126606226042899279972951876588160909827312754212119171307519469469447007911111568426527959456731257488337924802475977738455448853773837293352520230752266319846250137279618907087657797364430439668207326453935596868992652573236901010407237394683380463313999701636543406798223178939118290501241356997577565994044307901883176025697899743633428364198652349916156179603438484496187186149692938850511170371748458427041433826072238645497774189422901547936236770268543126305756212349010280019537670528003575892799300027412509207839636445594461211936536617785016644038338791794139562032778421345968872566877200017302778147676180473223380924006934386989153100889930546652106126992189724978034024388761131923441968293703607065623997388389201393782019500805709466739936974499725575730106880062029042105655833602420358916499559171263863985936373279677139078689176088279968575583136686692915621317130750175227306546124638326749370872323096520949879554550128955412515292886814700856403777792149184819471545663826045950570126726963979138102612538130897375796509629361977752537275187114509287664171517263810689501707155745688780341355488887271391965153140699612272628210915064333909037537763334066107358277202479321309258398268947521317984019341578539294927248188244966332609593044184761182723436586417690619240243799978085363658753316906908771905277848258242397940136700666524395391298352316579880233996303056791691153634570091242442838939793473520821852045792821449541224774368050870947570307294508625781000936602110903256209816480286823791082800004047198422241093669958646592827384690831724519055047767368294254339261187505753836959542348784543604980318792376186984631898996710457247125943558200552848328553285337823410932198304642323027287965554737028879327

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:01:46 2004

Input: ((2^11)-1)/251873


Output: 89/10951

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:02:15 2004

Input: ((2^23)-1)/251873


Output: 178481/5359

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:02:24 2004

Input: ((2^29)-1)/251873


Output: 2304167/1081

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:12:10 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=811
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
811
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:13:18 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=28593
gcd((2^b)-1,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
28593
1

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:13:31 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=28593
gcd((2^b)-1,a)
gcd(b,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
28593
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:14:06 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2377
gcd((2^b)-1,a)
gcd(b,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2377
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:14:27 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=3383
gcd((2^b)-1,a)
gcd(b,a)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
3383
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:15:00 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1863
gcd((2^b)-1,a)
gcd(a,b)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1863
1
1

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


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:15:19 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=851
gcd((2^b)-1,a)
gcd(a,b)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
851
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:15:54 2004

Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2376
gcd((2^b)-1,a)
gcd(a,b)


Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:42:16 2004

Input: ((2^12)-1)/315


Output: 13

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:42:40 2004

Input: ((2^12)-1)/315
gcd((2^12)-1,315)


Output: 13
315

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:42:52 2004

Input: ((2^12)-1)/315
gcd((2^12)-1,315)
lcm((2^12)-1,315)


Output: 13
315
4095

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:22:10 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:02 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:09 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:27 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.084s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:35 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:43 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=105
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:51 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:10 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=63
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
63
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:16 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=45
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
45
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:21 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=35
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
35
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:26 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=25
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
25
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:31 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=15
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
15
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:37 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=9
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
9
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:43 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:49 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=5
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
5
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.049s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:53 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:25:57 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
((2^1575)-1)/a


Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
37810603549825041089261509148761685267249588208299215324775865689000980923426431379484762541882054632285882025769009856222070408822063119558297889092655449084654114152557404388441466446152737902188154634946968948665861677411893573984143767738627552297587432383500450394114968665092837496079883381900315301992797081450672011367

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:28:06 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
7

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:28:38 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
7

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:28:58 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:29:24 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
9
1
1
511

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:29:32 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=15
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
15
1
1
32767

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:01 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=21
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
1
1
2097151

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:28 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=25
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
25
1
1
33554431

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:35 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=35
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
35
1
1
34359738367

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:45 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=45
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
45
1
1
35184372088831

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:56 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=63
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
63
1
1
9223372036854775807

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:05 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
1
1
37778931862957161709567

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:15 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=105
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:35 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
1
1
47890485652059026823698344598447161988085597568237567

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:46 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
1
1
53919893334301279589334030174039261347274288845081144962207220498431

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:54 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:32:05 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
1
1
109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914431

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:32:32 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:33:11 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=5183
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
5183
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:33:41 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=43873
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
43873
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:34:10 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=39551 
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
39551
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:34:38 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=497
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
497
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:36:23 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4207
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4207
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:36:59 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3577
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3577
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:37:27 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=631
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
631
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:37:52 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=71
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
71
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:38:08 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=601
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
601
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:38:29 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=49
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
49
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.088s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:39:04 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=151
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
151
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:39:26 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=73
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
73
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:39:51 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=127
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
127
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:40:12 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=31
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
31
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:41:04 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:42:06 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
b=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:42:26 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:42:51 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*2
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
210
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:43:07 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:43:35 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=127
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
127
13335
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:43:44 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
13335
1
1
37778931862957161709567

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:45:16 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
13335
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:45:42 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=497
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
497
13335
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:46:13 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=8
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
8
13335
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:46:23 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7
13335
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:46:31 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
9
13335
1
1
511

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:47:00 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21*25*35
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: ** WARNING: Computation used more memory than allowed. **

35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
260465625
13335
1

Errors (if any) and Timing Info:  ***   the PARI stack overflows !
  current stack size: 64.0 Mbytes
  [hint] you can increase GP stack with allocatemem()

  ***   the PARI stack overflows !
  current stack size: 64.0 Mbytes
  [hint] you can increase GP stack with allocatemem()


Timing:
real	0m0.387s
user	0m0.250s
sys	0m0.130s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:47:15 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21*25
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7441875
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567

Errors (if any) and Timing Info:
Timing:
real	0m0.416s
user	0m0.390s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:02 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
297675
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:10 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
297675
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:16 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
14175
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:24 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
945
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:32 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*15
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1575
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:42 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*15
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:13 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
13335
1
1
2097151

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:19 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*21
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
441
13335
1
1
9223372036854775807

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:30 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*21*9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3969
13335
1
1
9223372036854775807

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:36 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*21*9*2
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7938
13335
1
1
9223372036854775807

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:44 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*21*9*2
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
39690
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.070s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:59 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*21*9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
19845
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:04 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*21*9*11
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
218295
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:18 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1155
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:24 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
15015
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:31 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
255255
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:38 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4849845
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m0.287s
user	0m0.250s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:49 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19*23
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
111546435
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m5.564s
user	0m5.360s
sys	0m0.200s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:51:05 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19*23*29
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3234846615
13335
1

Errors (if any) and Timing Info:  ***   impossible assignment I-->S
  ***   impossible assignment I-->S

Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:51:31 2004

Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19*29
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
140645505
13335
1
1
40564819207303340847894502572031

Errors (if any) and Timing Info:
Timing:
real	0m6.976s
user	0m6.780s
sys	0m0.180s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:02:24 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:02:47 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
7
1
1
127

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:03:19 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:03:51 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:04:19 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:29:39 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.126s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
891
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.086s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:36 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:43 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.077s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:49 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
33
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:54 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
231
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:59 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2079
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:06 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1155
1
1
46768052394588893382517914646921056628989841375231

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:12 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*4
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
924
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:16 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
693
1
1
633825300114114700748351602687

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:22 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*2
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
462
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.105s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:28 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
231
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.020s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:36 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.020s
sys	0m0.050s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:48 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2079
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:32:04 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:33:56 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*9*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:05 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*7*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
385
1
1
36028797018963967

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:23 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*7*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
231
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:30 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*7*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
693
1
1
633825300114114700748351602687

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:40 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*5*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:36:11 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:36:41 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=165
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
165
1
1
46768052394588893382517914646921056628989841375231

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:07 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=135
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
135
1
1
43556142965880123323311949751266331066367

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=270
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
1
1
43556142965880123323311949751266331066367

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:21 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=135
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
135
1
1
43556142965880123323311949751266331066367

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:27 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
99
1
1
633825300114114700748351602687

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:33 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=55
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
55
1
1
36028797018963967

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:42 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
45
1
1
35184372088831

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:50 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=33
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
33
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:05 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495+297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
792
1
1
633825300114114700748351602687

Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:11 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:21 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+165
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
462
1
1
8589934591

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:30 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+135
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
432
1
1
134217727

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:36 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+99
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
396
1
1
633825300114114700748351602687

Errors (if any) and Timing Info:
Timing:
real	0m0.083s
user	0m0.070s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:42 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+55
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
352
1
1
2047

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:49 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+45
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
342
1
1
511

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:54 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+33
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
330
1
1
46768052394588893382517914646921056628989841375231

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:39:01 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+23
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
320
1
1
31

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:39:08 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+27
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
324
1
1
134217727

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:39:34 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+27
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/b

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
324
1
1
134217727
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/324

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:06 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+27
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
324
1
1
134217727
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985215

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:20 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.089s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:45 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
165
1
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/46768052394588893382517914646921056628989841375231

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:58 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*5*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
825
1
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330431

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:41:16 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*3*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:41:56 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1/1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:05 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485*2
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2970
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1/1440216193530818249802280565999746172651883604876736962348995813438040216009565339423513525669459410985082212851332545157936839526843410065057392743173231355008473573486517212888597315405346791121384577009608549396802605204496069170582986972342043757303568455572568077716357777626531743069658453666912418165800767312879629887353644481536400875516161453488680300395516487313128054577970163689764308020739197769619771403504156140770872975316385329091250895254097968775407724948115817636001705350037224962404272860406323892419016905255085802615182873860741094323520653522486563064264876354960525441667783792886443935956442880653636098270382950024743232142194639939908858111686435231031959462755200524589411309274466390517573372156159260528175108107097367913831233

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485+297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1782
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/272553819949074586335764329998110422759656186860996340445302265125028966092387690224317481804566269064306176556037664118524558990075759082016328514625419716882795708276263122467567105569780144175007953279052649090485357505103672130672696762561233650167948939378773261756571911641591694320973412485707944020790964611660462067503447189864979236486711165777839517909960620368166542340448971757985143063215507670686704671126834213154658267533803927190615815865135496025511405226750855106613371521043158334565319212157986828934686930007752703

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:26 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485+297+3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1785
1
1
32767
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/2180430559592596690686114639984883382077249494887970723562418121000231728739101521794539854436530152514449412448301312948196471920606072656130628117003357735062365666210104979740536844558241153400063626232421192723882860040829377045381574100489869201343591515030186094052575293132733554567787299885663552166327716893283696540027577518919833891893689326222716143279684962945332338723591774063881144505724061365493637369014673705237266140270431417524926526921083968204091241814006840852906972168345266676522553697263894631477495440062021631

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:46 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
891
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312447

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:43:10 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2079
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/69400242090457110100693816399255108703999253301247146771405023410200766027557964925389104470607975440590563583163679001987206985432648024224160060368429864799229220590172179001145457369728163527753283449295282246601534827428666682239294549215358953323234549516174992581941007929443460344476616426421810028398646976611133177491685720313439703086363258147672746963703793965135237367901115355894623343147309843144751186355588834387150947651329742143193111815155112738347447381957290009052705450189657578370133294008431979917186645261640732467334108194553795878000574776860741971805326272556372590068133934604432234858816196313087

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:43:18 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:06 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=60
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
60
1
1
32767
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1152921504606846975

Errors (if any) and Timing Info:
Timing:
real	0m0.050s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:23 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320447

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:36 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6169
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6169
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1132513143853976343456941430420636429482132490000409193380144934783211811227259081832854888760284059394515645437326936845845103193738434069755242222161607362713429434644466369105730650084393154303392064750845079455886405020721831004793244116835882802632031414106245011324344460510646551265177647887950512266592279069905771993762737362604176000062199429473923272160328022746821366216882619965958076109619099242314967825798114969863045310981298662205978002594976430521238787444393441392045652224159160346577490367892930739221336223763829398039996168877538734878777901379624726953556490171614835153128179086234076896829337885757855434179828754541589099473853079489128803479421147070588382017669848156082419909315897781348217923830054369661809050387559506717296975405814869535088143152011983300202833115375154338433469312834363205694501665101446941904251164838509617868208200707527180009195404812364025839469920243952987889897853110013925934882308055355196519616607056001404071517968136478527615180926573445158551666305596557849407125877980712680221888491647956181721482315739970857443518430809951045492367501098843138040142528789671316439148762189930746198590973561671475383381028608500165236704010633525119251000119525174427134433480843526635337351002911987708871349375246620535583611528961114108405561300380504540611246863348637908050269409680452136403704538425555260655795844295964444195710511166344267886916398580759623275785453859243710096331600890945586586087612428075729889044575391633796079277354422411139594083731874423374731126263422765208742785544878038583144711111691797355547827796764690017518753347148835397775282446897252906900678026030019427524291930424568908313314320040056449836087022504146564626406933919424676640725378792789367125642358526502697506900406969054901686813169435870110797641388009115266987070044593722121595128182030722203123711

Errors (if any) and Timing Info:
Timing:
real	0m0.069s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:46 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6937
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6937
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1758247145601653700887459644316954268131259745163822465117088593771461200795743225576634510614211764722210602762895806604307212657960496826712955418197614403048632248643769692317332183555244741556627288330089394969887118396713436996149744324620996592107770567531712346497072527941360254900022360764684544047170193654964798372928539800290405207949217932043014822468635474804241374286684574837974266464435752958790132686686796262700291599677206827649849766321037892305590422280067034772479705570049715048689098358329948947114342166352512838049579278662369609756623635041690192487757949411070873744495379955468707047478695537623634158219122541408826794825511547474278103595315711059768078316397563602906722632133939361821448820044123686047103930665380097757342042182445362076636748255329132482903854803516108392757487676775957222171373785149136695906320056430772807845978335866099544649927255913397541532214427156944179769125718825707991569736658074198727951128721636030393024586059689072686481029150143003161293827178736619714499163104275774054868151944534104665880516170168504611186481083417683747223156306146824767015139567285608332564291947438586481647598944753583083548336286168396041499344597978336527719914666524606694060133459078029783075077610349701268456946817305492680667547187250079938367764540837368486437751064376168149347020042036961204080311883033463409639138981538198775061711596554659453013254883117715885949796701850068448891769599520590707331607540857362780809153991443558136827411365368423979230517205863836249434940065530291628163303269945243060382979564164866267396488054306576947354375092987762520570993879834047727406873674218503127759625803169084890574605683726780526507757206415971416958764397832195095481536718757132508715255691376089357131996007739722576642356046980263978450614089744109491294832804729506090553256696782430620475725350006661347167748091096685477913778628367357275406728291846488877992833234129082244862169765474582238991156632122357640973252702036600929490910362893199884652754107099826448445727606913236624113136700141104649401916091068917481471

Errors (if any) and Timing Info:
Timing:
real	0m0.064s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:45:15 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6991
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6991
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/31673764759027383329427052450749552640451414655541860473359025081084512171146530331778910896082929696585929724803771454177055777133879908601771527559088993473920764814896633983151056333677192226586488043476704943520736412489227082797026922119335931367518429700507834394174959563825746020610111340923725727669493277525270402875364066720876222672189397126459945397501707052770755680514209018058695920496006318474715906669052290057634954116971636903678892460105688612252809802971737665717645391941641440238454597728880746426084027487382496332870948973347175031453436217958120442503323810359712103565110403638050823844714634399804120172990020891358545731142336109860097542956645342182645527588138757478686095545973586529019163777390820232218680063042189951875959289531933583426593926900555161975383226553453002541590780390673502650534960623443341859833319929483021297457065236289400883021314608813320643816352152702207179487978896989229564665738663343236329577744467599978778549807586956578094329653988842525639496332075229682687489920423886480288488975263262197139522239571313654452279866076594331618720348734946913387063673789841792952502743651141046374054301960569356802468882611923512289459883647964170065969858491224662391918483374386151604025536645908599706033021892536315798920045758883850915362611967138009098018767707978419533742530198158625345616357810960450686341362325097017302895030966361610789518535305473890968924240928234617420808340367245907031609098644076550189253112619557751735130469215643214206655810583817779393792011659840897953264744914725072661867032060884666739826128620361539687681327353139136630638807708245484462211157213039629085919370590537185810776252994089351425956944981482195576825778250222031259764460424307813191968969387359802072521610450728318808534119445348790702774886141810218992945609425975751360523752687160904142635834656032875319584223247893026944111071006803780684772280838237142629616516020951084838901915510377841995722674743768374631290183209675217277987478832755655868676261622887212922595883520325613508678352659371641765079655156032348419710993048637800447

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:45:33 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=14513
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
14513
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/7052239799996652853982163745676520679144171240401180208417057805013873404315155614938247913116557170210793345589541440039390270242265551090880653450863749332681516936656530208037269786262691726697801512995948799033719031174867039607967162361044069065513032210665124330317445483421044508423355539621937826057472201601149820882468784421617880734363260713199611742926409360158199209001420009800877982544963515743019491474095834999910236968787436192330210605473996957129167014005438847881367249145958675884595390689498047742311128128574650057527227647462921741528534125884606863091051495454906449981910952952481111686645104417600466592453121244649139441579354574320575256253292862748793607664343233992593115422462027451154497129807804501896183674500453570308305491345530422536863960627987243535774261760185545197546723919241025745642414826592457254463632489348415706154940023186541229204965219549414087481939516811296373622940599597738102060653755465799424370649053304321910439791320456007923816025532125356404954191177883071699260980897216001683104524384051268691555219659636397953652587883615696321169226291048549274994767043023247880975685625813500355608654475021598084955109025514742940396865840409150622208759078086903694758264901858202675697150555043403431781535924656465556774968265757539272367791315067219722228946855292306147129381873495992267036437618854843502491936479026767944943871652582529611700395750080531518809603411511828775839970103134559705938227269040260155221339957220881034485165243843926719150606886060993567650243873981061938710729776678266472695539762554652079685417285877820672380956487830863081902399891691220167626708780607567194062529727836237482007800669290094548246827864462495375815963151412179693472456183829057803205508505213019726438623607027568996559843240130583058747887895918816791603942408862934996137905612674529279123987521958890224262221928469993184460634913221673276868617013390473119629992227599417876842323235277442963665437365728595854211401108368114416618897997386165715577343959794716974647228955135639455223501715373558578977352665239804624007200106661092725781138307990448747405276630712772375142213615887331639512192005460531314890183877074767781104750240627555105556127691397443086541634064620559271809641774870085411807123835840488199614814817756770999186725433770600837868946881637534281236356569737683793845851372427100269812538114714449619867929528399158361362715840029229346622919977507635391274395522326321667264546408840859479447760105408772326076291528473292601349199329624811471276785615094304759725110291527628402027803710128727795108116418920484796669949057206841563699777123939359371251877716032761330678661434308977995767751400950103698508975700524356814575747758180221992163152839589378667211063750250596324483718474699812832140214801751041474761269291609641125331505628220287044201754366524143242961921548203451710292234923587222721763352849442732387704453729116011258353330727066974593491724999953369322303032668372558263650037082777963926557846138733873334378653487203971534820763699916899553097698638605511781634657444924120184735676691815920175787466692706067905836351914627611116805138351239753190918795904556169981130485997044839729431865431785609246437540935790250281171768118824505276179006941379712996028214408412825508041722840138565783322934712263401050414462541797283158410026415148796559340472232424494601624879864872763715893018340825814654584581719835271089125684472758268178945581392546837626877766208189532451435012422159994978816546730165296270859979299097577912765243258967881590641347901659827758960763622885193177534205396587819140855380323011453490121684275078618366934635026772847544370058112063226225660229655629235199308014133089087915415179070119008983793675122673387118815046000385728722511632976239597388929076221732379398028585306595323342015475710668398881349772944985405476975064240230846154386201044377832225577427341548554831949171740779014017593997582636271095160962711893994668013233218812786139076238440218164624767678368017500866445856471872430177910326116134867736600558650445575026720774225008280052634356352916277866681349362858457657756235448635371931142985917956815122743388619849151950963864551043942618152380247580434497528811235064701510267494028386925013441380954984213276997030383975571534893524280763164580543736797326924900324597482681500206527783152648191

Errors (if any) and Timing Info:
Timing:
real	0m0.082s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:46:33 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3473
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3473
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/30003708746554094872396484580291034610776965985861201351965318282045994602272463705495500676505858609324422359094686443034711743236289776836253354236852632571421739417309494036829222716254552311371085850483161316640153418612812205846748082703396685629186760232444277257125402216609187588993841449531246435311905809412989061960879195840119146490044779302281219246289008376457506798992935780663373383869018841244699818578777220767005082020532731767055684841623043298447398412860683551729419249970683672390190554020184027354488107185173055378717682086797461432121584934556462576252340234127936286083754179162181074286675802782128965328353688294338112444643492099547594752717373560795616762126706252692435357507550707323956497802848343206902809703774820510108532914847729471215975711543935911818271462772496420490039419147339012665357083967275201349656823789143716214949367191114730665694011234155921243396603009846996237950478609288336435197648457834027486861662013785048035801825074254224248356016913300991845893346478658300107866502377115737915391

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:47:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:58:49 2004

Input: gcd(2^23-1,245969)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:59:03 2004

Input: gcd((2^23-1),245969)

Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:59:29 2004

Input: gcd((2^29-1),245969)

Output: 1103

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:01:21 2004

Input: gcd((2^(23*29)-1),2442073)

Output: 10951

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:07:38 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=494
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
494
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243583

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:08:01 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=247
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
247
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/226156424291633194186662080095093570025917938800079226639565593765455331327

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:08:44 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=787
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
787
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206527

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:27:31 2004

Input: a=(2^77-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 151115727451828646838271
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:29:20 2004

Input: a=(2^(77*25)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 3039076645785252524975035638268319039702159060309923735769630602578725321174273084003385197066275360517534363148415356780194520849537879016772897231421418562463598802829830328907103196660408171035411498652776697026478752261827819574184825149262653150948780911129954850147054624596996066041318481900515455422473295917237488518049750880966788846647357623891434914179438417793174120110256645061614168520739417742738579160333625469805025882283616415349033184424473482016712548509063343721115519917610879040236609908507473167932125304901248790544442504018908734355346857001870197522431
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:29:40 2004

Input: a=(2^(77*11)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259327
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:29:57 2004

Input: a=(2^(151)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 2854495385411919762116571938898990272765493247
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:30:12 2004

Input: a=(2^(151*77)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 119058274783935637239712389396605617436841637597701400523408037561804222424698716159202241813978365140115864695761212177562146267528394607229996187359312355492810263626561294778105829869467785526505133364876825057802389157293903332659157614297811139527186798160932561671098885356404280530134345260737902673358612540308792031770071075780706179939433692669462034670182020877538513055879336231045022552087008393523710995022352289033546669432637167747312906736836196889971649548088829218365507028503972686832726498940033788104217047482844118843627711285591270499313153625716941119183025912100729711408982418213023125867450595228007115307182143299693867105297018707878450803471542006061615072903031917748024235104337876817776281555137901070339055964099546397277425487152377759001202751905651848099720109209595497314074064589370001105514572396329484180927677305788663776393053756064538492540502160386876993609123306476911570161383923640236639055395484805793114701816446718657722721758118497729894438008001424735530611152525649908381671961516823855179222435366172050648965631630252687918463336432101538151195231354142704245178051812353041389290583435663152084692944213001279438743162168171028485859052112227993929381304462920287360451779929405166324121466604599438965405262196473476051638596174483285198811326115370590231475584893563101576564844278495874874943456729372845152940696774738350687965854986310957777152804115554946497779852531910004249873264931216032475490396236584444751291043013403163918380491714729371182480397212309438037713310125532429284873996239105193547157823144062126973866669181849865652505546294156893500303012238293699598835992440243010000717194108498553096525139260850818315630649538718242669176785136749027248451812214633634722548275640870615142555920773808213965198864471847782576755465796056635921253013573543994125406709494389206005859614248310684291039715338566240397291886518607792163343203269169256480798958490901298491751950277292895189323151093691615630879878933904359871214503547070304778810966491033784977958168915317014637797380424849920525136805673834862306310319108394949214492740074750642376388756163058250629745367204525788338627538713405352488367242037758059008881496515213181880596022221946949603783231509683818842914364952368503668971722876067307902013063194456628300339429337644584710654623021288563756770934520098270742983340958701652824315985869861582092308942668538589274273598284634354305843137208628102616681540144492847367818430090237619120267178460476124771870311697566832645312659438638477263127113752323642857837660029666499104167440954772027150155154465700419788634001473618466182940337147162459742928200711979921757356988800851986125843432487911358830446292737531182292322663422227798629466506341874745528610569873096605751029671157334286398105879141399137051505295382531729365125091302494940579459908641973917733483306555270953594774523838357409206529602133230979759778164440999745361123592416708994400410674162756818126943613140670546946416506715084131995346637549069191342119620207696093442687838310299112549494165693703292012825075228339818321912670062425650758509945427245956701104500794041459891015794329074606607299657746273840558678484082583507590528274311788917705655934397185445205044698224901823105318128299381921718399202180041703863032042239717795536637369280213531185257128464076647554582899836804078484774106411317427788158333229661407101565109999425402348280452630863238491423311287776334482244941466012379486685884407658686351281225727
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:30:30 2004

Input: a=(2^(151*77*13)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 9657719919777009685768624526019721445874518829872634502017990864605981069744266494763495419673582135372542171497473399723637201016402891682100620797971836198753524504718806424061043093706316702088971814209175182935380750507658586280637503638089307655660002094914626196290036725863437092310257036781704288599952616259964721123217922823594195737161258631793775023635848387502945911925372862528459454031584894098851399827681857493718246008723269391749065061817210459060063181145385227335976033829894788836398550600391554508888389393322729496785856843532624832423305966244072871955452832964168377899012569429230793350023203673297802593208672341830484580934746428796069277473433687450896705938376584936916837635636349244919195403348507506261963872266492976549770972280238039050048299079306795328280293205940269646897934712715414398675788565386936620514278364573294321513746612017719301584494983723269514405402981309543035581678208635100775552311925018992590804017588009573811498174967502630874437721166407891884797226840390176717913694494939860114129383999303015464812219452584250727743832688888975756159285517928369558776264899938794516838838135470711374531378049083217687940338758148375801105316152862348428401959872819461319895290146647004123693171703442964840157611138641498795660256737702396055631300415776586874140552589599381613223498340562742733419868318787873327776465914010940092385882128724151551066522022344974792804368762585536799977444211287384052583333996127677337044712546444235948221831366343041868202034431327578998157757671298770105932314103011621279088308428080539279951147313632806029995853861518016338941548909626659733429579378424340568446029515953732293147777282616181426989296854011067742155998885714549583360733907468186777510796377179152051899808947401931229358493916060128666067871790040187900537768318689317181188811379818205320362130553359242031027584420161809900511378169542444278412475361094529254754018377446020078928257027680425562203374229707944214962669147256361092866953571358953801084624617146790920258629632279321570493328111056734833201204162794239155764014187846848711871886167973325651825263858306513041624907556009114909158173033304727401782165092903399110404211047266650466929752979189789139563696204939498481326062818134095823860025948669464126861440244451153301226808477056963597949611792047927002921436128239886717563156081679435584298962576811309336451239758169575546650386707821426318110548498677694135663517854362562020822548342367497168499889783509289748153898951214856074782947903126672881897280296423231854300526015093294893505839972947521090449831952797188885972695599452337097525640045132932879091634867599326265045734844976452007175266437663504117080543474349777995645389610455092024153806062643805697334380343195523214375704410207263558752354914472289808663803571812393012176132053058311085796105862283551407799881799294626749527357300182698893066785289616551490864251121234094956927344286355175488289590431061462317527874704524533254102490560396186512833872561027560281284125357212310541248478895678375536262806831725211551503903430551833430499407150858442230311270383116487885237878688302877702004153964035163187588745696488742222112928582730680914416991496385866407061217075806041094844208714018830560382195217850191829023573944075020094315827986466962596896097000177190992049103364662809323404037502449740420822114747490067691704665130754665938623939648285301509522948325157575028031311373151777577750577462252386162614840902821748593068963674414559706609314063979030958182561320194623839321687157872205525312294176551260720049518443757472590609168030119974188574196774425701067452823247497743739699390781784577446447242719529472261449188306389613862625946907100084993213089618184870889918703604969517745428969362595481113328907699421984642340536532612465687516032750507006238958598729251149852211548511556275603014338618841959962216814386553960322953549118735578859648186161553232097520734200441679224960166027239888542411096173832021740252483587519519982134308468250357643711667161412275943105879682924880133636050107182187259548638149412329284669452636111837905734186835124109563068159728267955673868394640201617682430679457236381899266876779603989721509891743798244199928353950629095520683231175274425373113481882290435136797712228392958511283929425069566461992367146754735194702749666513631789565335774416515468746352317329847597623246361178824768792832291171465098157793942672249061918934240482798928894029998770496934230940942063620477071511998793775624972717260662465696836528238544767015540260138736836705196081765741885989386523430614365084089310140758226544037623913729669986186735342563055034089974095496938386630052137816440898478221076434579033143346564023651380544374525223588365410515743840672399804129216075088673511798968835823319677667754855191754620099364723711111807285322506768250643231047486787862302532918790586299400343877204031767107366820235819488394637651907674379209281908532262404357807296904208912214891944845646696077887094412066955597611685911895358798946195092967527750535768618179656711504507115190571067278123797571872906008776413438451782021269590453315437731674062913691533505043794173791508353826304864376502289206039029315953830191720433272862248983299018661237318866576007179326437638265712639798968360239329615766432182625466443306710940029784917230727325005470565058417737530956032693800350428586177705957518651394011144098299088653837981898790455964977241654963230524866558036961865988863774102464144059148382406172095457114023487844300777287517738133447047616975193103035930178234404872420338541715442692928972518101665150107491404475645668482472834059028145270382300174466188660103869861123812568963164724640755200789783629750936817519135850736068399399379904836081749492336567424197167991494747314128682902713152920542772438114697592644088939876629903332499253691129846044357806152485762320038758993800320731394163931710613477956793441252583464967677677870261980372317849443961813310986685234914292005961029683419483891661051287669413062175940504728185214328990865485291732567715240328522093664835342745080715111333405927670813284600380801579108355389544145257109934845077252650903237101243478682814553587979840643464695030373280025513678337180239228697060072055478347646988527967689718548598857111850084265848029131626062111547071610907266497865584808945516012282031505771853942118816158971326114835551929060152586272656554452451276095107088344723199079566898417015663529788936419429431968171549607072900792043347395240395441299566981094660360435500280066436446476701510341061489283898133277066222177603578504372117665747133129952656845272174276785779206683535909364374376654422214320716890801879292655002074252295954801314602513620569581782393077718335509577756769717778831041912682378897604238423810207266348645332468913880259667202607455007219412125935287607085586341057664892879812398817976898923076828884078399705341966250230859590381534025628992859509535780079541399333735249682557981360752622637149337728695667490423754313457468297706313288045623834301906226938880962286400891223114399623991189644952491881357889170868328631364477105526456153957777494018613451592933448404621800459828076207595111407131837665538317893652354024170290833510527416892890475011174530763011026155226068312214760137953634866773313112685873278843830849063753215056034171355492073094897620305480784628803173285247433713159820976717623710976371705272528798987969150088408565310426541401840674223548125491285419502182836556837960804276894514596222972695194790676290615640793477619685435541335031282995676393349358691011535356154567346766355802190879945681790923009934789099750757602055045147434887096050666259046723380991569950339425357362672100787344003668707083736219196755363843010073826685283285439048266661118246580589492981741228540384617482602399847071096759089399341718349698267712546917580787238204062542358538385722721292333611718429097548666480063254246755188964510021199522496339386239596712923585830737427039900620654171227058328297970837423799445368150171521586844277532314695464958462152177473719222405259468541562888514480079865607034514682754371794975520577963668260068073183346820136169967004110457507390640928859394222830558528317602124649957084861035711087555015499031772807907092570013351610912993536740929858120613150276702929730037002532048332040565533772144406953309540067175257351366138844713413993346773164043702064165304824901642320441049620745967289779437920731504262389420083234969232950144680114503190223125375419030752514598949770914132275568742670986623963099060525324085301327046152366731142147609913524659372006917857227461175957797938493959352956427033890007663094749461230200182368468895496769950935682116596130982839112968911050730734781201331721175588234123978650543084500375096661606605457585341229544600534248786536429144944415335937359615028590273341636326199587480984473271002372252982659575430901897710801087408629395565638391191453380604167683955808800366901378688056949753465086273903315125568392483081425067179961053707890154261122654583259153392643940238739087015729203851917632387221954557797107526591528364644427545867024842020633281045119042513424035190794755360492714984659861249912272801452342131262839963599913116133118619926275910815770987912840611282800165476341721391344426483726904356079594742768602609199546768869326855778897456039405378316966532876305608826517621011703016579964403709702677165339462069422590218144251952558091751713994169562799222701670873977906020829021074169425699630628700138930228382843598598119974563972517528922075536063000916981106924223680049181317985092982641975922557627447649784266148988570707679956651750207248592404626670804559653193927639778967435561767192262426732503908728063700817008580111347647218646468901710597242361731261505946903547427663808222302996000354186486053692204279716355021297643437940413592147830852298548234318364167702364119134597180891033673985375505950717907514263212204400183177250736584867506764230972
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.692s
user	0m0.560s
sys	0m0.140s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:30:41 2004

Input: a=(2^(151*77)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 119058274783935637239712389396605617436841637597701400523408037561804222424698716159202241813978365140115864695761212177562146267528394607229996187359312355492810263626561294778105829869467785526505133364876825057802389157293903332659157614297811139527186798160932561671098885356404280530134345260737902673358612540308792031770071075780706179939433692669462034670182020877538513055879336231045022552087008393523710995022352289033546669432637167747312906736836196889971649548088829218365507028503972686832726498940033788104217047482844118843627711285591270499313153625716941119183025912100729711408982418213023125867450595228007115307182143299693867105297018707878450803471542006061615072903031917748024235104337876817776281555137901070339055964099546397277425487152377759001202751905651848099720109209595497314074064589370001105514572396329484180927677305788663776393053756064538492540502160386876993609123306476911570161383923640236639055395484805793114701816446718657722721758118497729894438008001424735530611152525649908381671961516823855179222435366172050648965631630252687918463336432101538151195231354142704245178051812353041389290583435663152084692944213001279438743162168171028485859052112227993929381304462920287360451779929405166324121466604599438965405262196473476051638596174483285198811326115370590231475584893563101576564844278495874874943456729372845152940696774738350687965854986310957777152804115554946497779852531910004249873264931216032475490396236584444751291043013403163918380491714729371182480397212309438037713310125532429284873996239105193547157823144062126973866669181849865652505546294156893500303012238293699598835992440243010000717194108498553096525139260850818315630649538718242669176785136749027248451812214633634722548275640870615142555920773808213965198864471847782576755465796056635921253013573543994125406709494389206005859614248310684291039715338566240397291886518607792163343203269169256480798958490901298491751950277292895189323151093691615630879878933904359871214503547070304778810966491033784977958168915317014637797380424849920525136805673834862306310319108394949214492740074750642376388756163058250629745367204525788338627538713405352488367242037758059008881496515213181880596022221946949603783231509683818842914364952368503668971722876067307902013063194456628300339429337644584710654623021288563756770934520098270742983340958701652824315985869861582092308942668538589274273598284634354305843137208628102616681540144492847367818430090237619120267178460476124771870311697566832645312659438638477263127113752323642857837660029666499104167440954772027150155154465700419788634001473618466182940337147162459742928200711979921757356988800851986125843432487911358830446292737531182292322663422227798629466506341874745528610569873096605751029671157334286398105879141399137051505295382531729365125091302494940579459908641973917733483306555270953594774523838357409206529602133230979759778164440999745361123592416708994400410674162756818126943613140670546946416506715084131995346637549069191342119620207696093442687838310299112549494165693703292012825075228339818321912670062425650758509945427245956701104500794041459891015794329074606607299657746273840558678484082583507590528274311788917705655934397185445205044698224901823105318128299381921718399202180041703863032042239717795536637369280213531185257128464076647554582899836804078484774106411317427788158333229661407101565109999425402348280452630863238491423311287776334482244941466012379486685884407658686351281225727
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:31:02 2004

Input: a=(2^(151*3)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668991
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:31:13 2004

Input: a=(2^(151*13)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 835375027435842293367628882099002646298553519655757700440621364996889505267878349591526411180170740349018862353832419302086868964297940933775630660359931924461343363111607905016635625712224608806929078055425534292456107968219936912263198072035930483041047384599823263189643545815657938143239620126917235621252394841463381494412747887020771005343229455323518797498448299524330709626056205101204016561075743804361237694152963957883214186293867411234102396948598411985985569361871399735974278571787221755624198890172745563383423624468793092156667813716067941098557849187802950988537962648567807
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:31:28 2004

Input: a=(2^(151*17)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)

Output: 55462426915190627750558172543376707728237046311968456483434414918028499962018339695819775919162081200045114767442189973667102734159467970300173095836730678728197966877076622822612755502002617850738410941555841311578014648793846458079191517048165090296393923143132718386821037899193375838847226330672936586692076945121092036204120871006359435957577112326821503707700968411445470775584552405794218950810829637809907322707653337884002260847737486079930956415888092051938363747640733404149655006194045252739401734413760111275560216177548940193707502835338340754658805212463196268098796933168074533283177545528891189739765271920007471923754112416089417578526189551509555089930532211291959054921678988423512542114165466283697429967161942152131428357024336773380734583366303612927
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.040s


************** PARI *****************
Host 200-204-144-106.dsl.telesp.net.br. (200.204.144.106)
Time: Mon Jul 19 09:35:43 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	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 200-204-144-106.dsl.telesp.net.br. (200.204.144.106)
Time: Mon Jul 19 09:36:11 2004

Input: 2*12

Output: 24

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 200-204-144-106.dsl.telesp.net.br. (200.204.144.106)
Time: Mon Jul 19 09:36:59 2004

Input: 2^{27}

Output: 
Errors (if any) and Timing Info:  ***   unexpected character: 2^{27}
                                ^----


Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host vader.integrinautics.com. (209.172.74.2)
Time: Mon Jul 19 14:46:19 2004

Input: eulerphi(6)

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host vader.integrinautics.com. (209.172.74.2)
Time: Mon Jul 19 14:46:52 2004

Input: x = eulerphi(6)

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host vader.integrinautics.com. (209.172.74.2)
Time: Mon Jul 19 14:49:29 2004

Input: eulerphi(6)

Output: 2

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:09:39 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1),a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: gcd((2^b)-1),a)
                                                       ^----


Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:09:53 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd(((2^b)-1),a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m0.190s
user	0m0.160s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:10:46 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
c=(2^b)-1
gcd(c,a)
c/a

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393

Errors (if any) and Timing Info:
Timing:
real	0m20.995s
user	0m20.850s
sys	0m0.160s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:13:34 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
c=(2^b)-1
gcd(c,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320447
1

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.000s
sys	0m0.080s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:14:03 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.050s
sys	0m0.000s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:14:44 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m0.188s
user	0m0.150s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:14:59 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:16:18 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3473
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3473
1

Errors (if any) and Timing Info:
Timing:
real	0m0.074s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:17:01 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:18:25 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:18:32 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd((2^b)-1,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:20:51 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
gcd(b,a)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
1

Errors (if any) and Timing Info:
Timing:
real	0m0.225s
user	0m0.170s
sys	0m0.050s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:22:00 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m21.106s
user	0m20.830s
sys	0m0.170s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:22:34 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201

Errors (if any) and Timing Info:
Timing:
real	0m0.061s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:25:23 2004

Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m21.083s
user	0m20.820s
sys	0m0.180s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:27:46 2004

Input: gcd((2^29)-1,475393)

Output: 1103

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:30:22 2004

Input: gcd(2^29-1,11884825)

Output: 1103

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:30:33 2004

Input: gcd((2^29-1),11884825)

Output: 1103

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:36:03 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m22.281s
user	0m20.900s
sys	0m0.110s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:36:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m22.258s
user	0m20.850s
sys	0m0.150s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:36:30 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=151
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
151
1
2854495385411919762116571938898990272765493247/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:38:20 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=262657
gcd((2^b)-1,a)
((2^b)-1)/a


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
262657
1
432086914652520483411248140353991841521702507588452248201049490133966624554504996374949572957521340523820408080695265133774124026961834056040427296624248101590746678707679889919641382288072220065389817492285254435993107856330727142265963083232862019139019105362570996428261874482603101566426481423130318283082652619933528301873996603420060421081716581812059360070141544434466998647972381043676121203743155306497421841035794976973080913954376028800228801263369716220575738679562583719489427975037193744996227776957282557817327744196658418835598326399529382768812859519589656983402619031405547257607234190818618715170380411462289750015748240690701963362156703058615411460908044988076128368198600630427787577569313938558339450584332145518465911923315240542064331084151150362285037859050162092818463774340908091227352007525285855674388388501538760006467691921086024037196701258602351027807527649327815141332204755428483767976060251361584266001603724262624993327531853059290296651925198721640008036980842778104289603895819775391046722844469600469674956568419674868371581048265450083513979992476624551738152042305925281669462308300629012192276051403245284540675598594187490681792894258748040929768122209571994043598262479860896622082309366483202427537098661403635719806154243567554949158292561859493128159142567772996936968937880182713315936230380566519139675064234644223802801365567010985297891480078590839233292427179624384192577361313536090741518333996432369851215235064662665413066833537754381529898308127165183501271755309226025411346396140462194831668207721731840973064647447124685180238251160535752594670744995087409525349072511223453243022770422887395769487108575482278226671688524977243736572115836244698659449131138640866430834430285106084014044428632403809111078712178912630979606911110568327972274808153482120333990580126014719526139056760964263735401145695135836209475784756857279025751747093775473074712797040690082684599462122450430060618760074294458291069178336478304245477722304630930867958899001544738974287812263398082799524478440724658411393073956279222085715912252133755294903979918295526053211603051543099563111026765052952894602699379607111463141750345092064214235067022114664373780481161184888696286569693423646001004192103048056107238383070627841400028318804036551932525371959370483204240810421592366986740412635019299538927413170957923200774925363354342755242194398270631027332469329350304680249673089953382476634123345433498274068832951493427930715097710119543828301567472603896870991624467506581159460530868811543623117150698179379568498576262591429517333944747086616165537984733439976336891188191543886950267780723730681326897951297348037297967524761273533339138551016094036547601767906492398551366345096212688532088083440592525186240147042054887017638348818294955222147013718095126732370251488148555149105046666027478100281460871502688049564384836904858595697226990561843313914564091101063959142211450826073133748052534175097337550051096949159978527448334345464152875433754360275657252001117513308890401265983785046715691480166942587157516820651313242509693418961260947293607974625438821541121242871841421901993341794666190341897140537601504904118939063596011847609546323048118504084993001564814102378966027021285512280583768244634935456368230203940882036562300061535594764461997045277222617610139942959990236990946708955289018327075910852414661472343997078648422309189787538043874303124479592619241144770704924495024470475819328526922175268800394742264838933025484878355271624088278743025078644839715530955203384805798364048078416388091938827143524676463052903549333046610917020262414009039146221459899418512891064875558648992305455861479943031329956495736698596369844926893492485928016449552649016224789280196852937535688123963062630092069962502790905084193039194994055174788168685321631219041558751773543455537766908356138753871455893799512211145658848764982786622248119129986798846038045512742086321146744945172125671324546657112277952904716606233572103247463895670567961115453187221986151177014400874476461835017826672022742393123373182197131396378117390534451879437535352296123118513222948848978921623924227381741988430820662160939035840706151923379571545656279000022480522429495956432180112301647573482450197748918701953506939373452076209394792237974388238023475491915448927648750409568099923619531973993060652679678345121784252293260667908468080276727019435120644301107651146923444727826295569711053256303380087652213405478423498151989959355046924803040274069340784976438419425428005215365893305639659079113660955934425944684447209745381280152637673950672784058179489287006790794937546319967861554338996008272590917135804164121601543538103917974937248807916243277935388120132447244600234164157887127297537082126087987323824112889009883195663304874547705364137723649663098226917750438075745949533109007785603087362565965255454130551792993410695135296325682186587562957445143550412726165198072955835133437026597598864736040832881417698855938345345382323075436481882491837715933664492898382689488199072230290859707585739772555640774547132182870848444605676240832329251548547708830860092881753768660201267737680138909002432985954183855515273192470958971498912507528650098086089671805539413643340973391420767055300552809286465441759783355430817070529502250323751935210789397127649394771755034830909499380517855195275703925686840751098862285999333681345479102642944513168262158702506271327441098241829273022935249050881161082926248893787165037576249161487941705141491326503132039728423572636069288667316851828859648956895373641394122874859966858558532364431256250972220585974825565341302051313794674737385396153243749319086765680166735462964119918661688454803998298666345971079468092805445588829707741186557627616003642210546045379880136192480489385080994416922064554583494487030965793700523502328852427051785402328554501666378983573086900845050055548753259426514487273462195138881123988232636107723113406257658470014714563021671084046237869661409107367367426144546220323444809632064773707465005850178987272760067788320218528936054366134253916945822899869486528402410382623115855854978785423915129585156022751890662261590351534679521353691528150302197801146538245480456434048058437829989743044960961790500941272174708931543451849102863432042820046677753857446337427426016699485032969950233609813167465033849364756396034805554988000236552658285625714747073814878523794730267284035362649946608480046242789905535223372150235595248269283753115362161496602724871386931599694209811208804445895613676722635484308515402441028462835627816692797306094877654276061324047223992167372907044410132555255617832105038432607995965640995572274526428121605213245299574536829988329655770118288729750952754377186601306415574908927993975443566645474807744812005702644815111744343092978747139767141247786032340111467722136868168420231771200742642452960564821289050329762442705113264276223402545454274854990286666185477888959245470632992957200493626280430197753930766351695296774008070529357678020407788478916154974249678088149228110960800479192462965466738553545426778327579831855471958963524544347701977131790606220121705523984181308227693701964242265793257298278486682327247810462565144289303731292436789388418811000186336566912006640171771566197757637136276206935871560624018204206010808675252846941720054098406349007038889132897838326611916123062193237274217475595157157148307065548964586471697738614895977779725073067247580208367992936125129597425664928527918538704919008996934356387538804684612119857883054731816593578764919453088313289963759202773575079765594978083126352766895873053105856617394085980946830077529424667374122865841013302580832211774903355403357850877830418669635378861801818099551885166947341667715348661724389023123117096025410742335311006386564520494568910852133288520962468466806233204460598152630932867073426008358760498822339652189645777594352943016169048027849703962679419234717061574164691986092839325494144083461529302229246724131786852357986747611676765543198267032698378393680077777260316487070436231337613254231673209516115894563026346240710436735432082695594524995239836703946794546218151128323649917961528785493084765860279030805312232788785822615568029476566795422170880227148249938731386252058024058753275171708031659028164608368615705807460370778132424924778369651212736093899637629710532261635649707981606874608500766181344265609793519672638676489190355237368665274881615160313886160780823286506148738484445977643140594749160146642975277019361333205703562854351492525267607122126353520118853600764384936224440295836675416843493476654528295264167544216429416788587594956893983209306229419615632874354923340702954515263974693840989213226566467544462633278009051235138113660823349117303306336719966634941547883073643704112709601228199959957448274045189761682588993231225179590661919177221115752442008807335072258497486042241182906173262556558990074713572426032415940840279699168689484381616677561028433495584796536664736777549051598202916875441099422673122970610959247557809433136236562211259678467862586376582277524938601632670475774046939513663110074200451634774167327124730327331586630317273919367339617828318203573319267473410166007786220914756064202993242024459464399895850449415761222469229015391802965361218115118746375173727799907517142735747736034229778198977513299569725141028765495022961237914945979016336140281675071781578067211092314154661587739418686117704302598877156982587759948831361744389994596678284126718844160834617156552927948315811327893495068042435241653404159229194068855568221800141897692123714455120121167607288467005010260317762984358401760698674465869126923011758337828765251302926354216150339550161715762481955870375806411758499103200813723304960130902328230784453350344630820960844364779295817200463168983470655885376552276393653167398842700432104766003970888169762757958527404489561
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m1.819s
user	0m1.620s
sys	0m0.200s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:38:39 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=262657
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
262657
1

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:39:21 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=161
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
161
1

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:40:03 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=631
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
631
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:43:33 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=713
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
713
1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:43:44 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:43:54 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:05 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3473
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3473
1

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:17 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6169
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6169
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:44 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=713*631
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
449903
1

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:54 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=713*199
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
141887
1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:00 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*713*199
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
425661
1

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.060s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:07 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*713*199
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2128305
1

Errors (if any) and Timing Info:
Timing:
real	0m0.098s
user	0m0.080s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*11*713*199
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
23411355
1

Errors (if any) and Timing Info:
Timing:
real	0m0.410s
user	0m0.370s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:34 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*11*13
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2145
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:51 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*8950393
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
26851179
1

Errors (if any) and Timing Info:
Timing:
real	0m0.526s
user	0m0.450s
sys	0m0.080s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:56 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m0.188s
user	0m0.170s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:46:01 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950392
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950392
1

Errors (if any) and Timing Info:
Timing:
real	0m0.192s
user	0m0.170s
sys	0m0.020s


************** PARI *****************
Host 220-136-164-199.dynamic.hinet.net. (220.136.164.199)
Time: Mon Jul 19 21:46:03 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	0m0.064s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:46:07 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950394
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950394
1

Errors (if any) and Timing Info:
Timing:
real	0m0.206s
user	0m0.170s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:46:12 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.020s
sys	0m0.060s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:47:51 2004

Input: 
b=297
gcd((2^b)-1,((2^1485)-1)

Output: 297

Errors (if any) and Timing Info:  ***   expected character: ',' instead of: gcd((2^b)-1,((2^1485)-1)
                                                                    ^


Timing:
real	0m0.071s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:47:59 2004

Input: b=297
gcd((2^b)-1,((2^1485)-1))

Output: 297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:09 2004

Input: b=631
gcd((2^b)-1,((2^1485)-1))

Output: 631
1

Errors (if any) and Timing Info:
Timing:
real	0m0.076s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:17 2004

Input: b=713
gcd((2^b)-1,((2^1485)-1))

Output: 713
1

Errors (if any) and Timing Info:
Timing:
real	0m0.068s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:23 2004

Input: b=199
gcd((2^b)-1,((2^1485)-1))

Output: 199
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:30 2004

Input: b=271
gcd((2^b)-1,((2^1485)-1))

Output: 271
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:41 2004

Input: b=3473
gcd((2^b)-1,((2^1485)-1))

Output: 3473
1

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:50 2004

Input: b=8950393
gcd((2^b)-1,((2^1485)-1))

Output: 8950393
1

Errors (if any) and Timing Info:
Timing:
real	0m0.364s
user	0m0.330s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:59 2004

Input: b=6169
gcd((2^b)-1,((2^1485)-1))

Output: 6169
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:50:12 2004

Input: b=45
gcd((2^b)-1,((2^1485)-1))

Output: 45
35184372088831

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:57:52 2004

Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 3


Output: 2386605774051915501435365614651119016006193305113947662448911518103472556679185475841567136860735120524357838637975830795673422486479293

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:59:51 2004

Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 5


Output: 3977676290086525835725609357751865026676988841856579437414852530172454261131975793069278561434558534207263064396626384659455704144132155

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:00:22 2004

Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 7


Output: 5568746806121136170015853100852611037347784378599211212380793542241435965584766110296989986008381947890168290155276938523237985801785017

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:01:07 2004

Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 11


Output: 8750887838190356838596340587054103058689375452084474762312675566379399374490346744752412835156028775255978741672578046250802549117090741

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:01:44 2004

Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 13


Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603

Errors (if any) and Timing Info:
Timing:
real	0m0.072s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:04:46 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=297
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
297
1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:04:52 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=13
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
13
1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:04:59 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=54
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
54
1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:05:06 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=713
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
713
1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:05:30 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=2970
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
2970
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.066s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:18 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=1980
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
1980
13

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:34 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=1485
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:41 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=1188
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
1188
13

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:48 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=990
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
990
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:53 2004

Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=660
gcd((2^b)-1,a)

Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
660
13

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:08:17 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
gcd((2^b)-1,a)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:09:00 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=5940
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
5940
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:09:28 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=5940
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
5940
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:09:52 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=2970
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
2970
1
2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053823
2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053823/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.073s
user	0m0.060s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:10:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1980
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1980
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:10:36 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1485
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1485
1
46768052394588893382517914646921056628989841375231
46768052394588893382517914646921056628989841375231/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:10:56 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1485
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1485
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/46768052394588893382517914646921056628989841375231

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:11:31 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1980
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1980
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:09 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=297
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
297
1
633825300114114700748351602687
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/633825300114114700748351602687

Errors (if any) and Timing Info:
Timing:
real	0m0.079s
user	0m0.050s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:27 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=165
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
165
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/46768052394588893382517914646921056628989841375231

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:34 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
135
1
35184372088831
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/35184372088831

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:50 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
135
1
134217727
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/134217727

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:59 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=165
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
165
135
1
32767
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/32767

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:17:46 2004

Input: ((2^1485)-1)/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:19:00 2004

Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=297
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)

Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
297
135
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
134217727
10024766115676254527553691313992830008826503407917831730838032717724985097051730207414761942493626795640637077090069886461803385294068582514156478778382561674231958692596162740123830271441194931251649832462398901989290247034664652725698377662359583404821027514254865884114176250991826845178057391118083263

Errors (if any) and Timing Info:
Timing:
real	0m0.080s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:24:44 2004

Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

b=297
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
(a/gcd((2^b)-1,(2^c)-1))/a1

Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
135
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
134217727
10024766115676254527553691313992830008826503407917831730838032717724985097051730207414761942493626795640637077090069886461803385294068582514156478778382561674231958692596162740123830271441194931251649832462398901989290247034664652725698377662359583404821027514254865884114176250991826845178057391118083263
10024766115676254527553691313992830008826503407917831730838032717724985097051730207414761942493626795640637077090069886461803385294068582514156478778382561674231958692596162740123830271441194931251649832462398901989290247034664652725698377662359583404821027514254865884114176250991826845178057391118083263/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.078s
user	0m0.000s
sys	0m0.080s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:25:47 2004

Input: ((2^1485)-1)/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.081s
user	0m0.060s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:26:22 2004

Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

b=631
c=279
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
(a/gcd((2^b)-1,(2^c)-1))/a1

Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
631
279
1
1
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.067s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:26:37 2004

Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

b=631
c=279
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)


Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
631
279
1
1
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:26:52 2004

Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

b=1485
c=279
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)


Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
279
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
511
2633074993645177985443669899459414751628342905613473928926725159539491410636316301088939127529548533262582812757246486168397891771184171677420798246493628501668743574321230316832704887605929937057764590045076308399801008415383913690973758781662381098360076623811640308523777191556760263673933020178902395609791

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:32:19 2004

Input: gcd(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)

Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.095s
user	0m0.070s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:32:52 2004

Input: gcd(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/7
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/11
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/511

Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
36375642434544394397650815864453181447347649886891718761359650881328237495773869753274953
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/11
498296471706087594488367340608947691059556847765639983032323984675729280764025613058561

Errors (if any) and Timing Info:
Timing:
real	0m0.097s
user	0m0.070s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:33:44 2004

Input: lcm(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/7
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/11
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/511

Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.004s
user	0m20.870s
sys	0m0.140s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:33:54 2004

Input: lcm(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)


Output: 
Errors (if any) and Timing Info:
Timing:
real	0m21.092s
user	0m20.790s
sys	0m0.210s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:34:15 2004

Input: lcm(2^1485-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)


Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:34:47 2004

Input: lcm(2^297-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)


Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:35:11 2004

Input: lcm(2^297-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 202566742627973566373509125108862009921785159103225207018168514203725872269364384134070832702795688579550030868386891513440280649305692539640122500320112546241314870345221359158114080395159983429711682419037146975048996779201

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:35:59 2004

Input: gcd(2^297-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:36:12 2004

Input: gcd(2^1188-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:36:22 2004

Input: gcd(2^2970-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:38:51 2004

Input: gcd(2^6233-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:39:07 2004

Input: lcm(2^6233-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 16619670370858034605130118850452151368439012399806494299926883807150691175074821635548610025204013608387084109920819209443658557028354626224615466231432083505892530705998451881467407549511717970494516856531722553138209407715721205117653049216570068324897166873268140134083468328620966347506918301281574267494345628817377018123329238646124593793912420336586785603157140309392094281677772033371969771889412371856675378474456336924630357240209017653232296190070562673273009324970776591145351100312862634702897004142579468348926517318503356501642536521071280010511915127885733602527683868436746065274735685464306303734626678532942507623319563254755073106018161918738332011761963522557851831958173734982575519577190587355605002109035957685047774793024964015912629378655421377545841682819713854562650847415435416992927625116804704853830758445054243121341672957885491032764833360986917239012528870405807962971318474244649814610140340343284169291058277387768829557210730263366209861580625541015907367006755286797878060924238483081152451279738474005216438712981761173400883078496137620432500006641436036994583220357249239707071902620173765377457520990076080837716861911346082619225258828377940458484134261791060147159964220676573904241774673587569893523116805364426200704333117149694033996505819291886489658805104426853508361356366415718157259765815604137418304619744931637228982829600870374000439544802717902062384283345772896053902706016785872890698611390866110530505626593430606677330253065676664523353341594632531173353960241158761695196037968289105974334435699083994016253746021160951044607248819420404482218690423656341053848393909228755516360946309738088523240150391941356795579380827876936066724057739809787041464870341768586002178565416913577892284408751963977479784115898445370553936527649455411609784592157476730706502098566338142115133284044050965016945101307826679627309799605000496386159736682651063570699569266070975350087850965046708767085344395605852516987229266461997255970965479516472115047191734678721

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:39:46 2004

Input: gcd(2^24119-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:39:59 2004

Input: gcd(2^43631-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:40:15 2004

Input: gcd(2^53929-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:42:17 2004

Input: b=3
gcd(2^1485-1,2^b-1)

Output: 3
7

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:43:23 2004

Input: b=3
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 3
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:43:43 2004

Input: b=5
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 5
31
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089231422893945177960469409526209849748530754885648108877404378303305037677601

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:44:12 2004

Input: b=9
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 9
511
2094703994448430831976520692726380588570254204876197102709853321219723925838780842680336842790217346170691945580734433132659526843851165458196713257911201423175607609479219456173580801922133410819913692248328438742880951242163751383466544814694098046389170461262828272123945153244892298378310811433472197728701131874735903353316081887740029009933154687074468120022396874297796692196282811691881986912926305683861842377869618785784202353143185921

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:44:34 2004

Input: b=11
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 11
2047
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:44:51 2004

Input: b=15
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 15
32767
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:45:23 2004

Input: b=27
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 27
134217727
7975054898397647243273625651425168903057044757521014489276331189420894649062392560184334865585982274109168785072297456883538328861789959750536681900391771105188925516849805853921962109984250984439454087453707453990873843994882113872718202121756123181141833117955463863989709595574807823047970590669474629378623573233288674405464472249892555728319270710753827691713515627977920604424335965505895471709972723680929281830941565561870433124353

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:45:47 2004

Input: b=33
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 33
8589934591
124610231873551195838203801519864271660249700112266747699701436194938184029720164211393833495349960563305479562266354320228026776741721239625504439978176770641109004975877486527964621352750667636483740570882751230208077155397477805655086669833838330993743664200772637414758630413899500258874185953915407763943272427647993788261957423865924618200138986959959403179982235416089690421753354277031618355486653810360009696503563888375564861441

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:46:09 2004

Input: b=45
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 45
35184372088831
30422419887462938776249346145788101981268757947240089499777078777719302228842784925060441578657620434989958136276024029283612840152876207241055037428619271573784434045690401448460576153356061965528432801899650730502289256249815117775132597882545133936183351887599469319162141481952492273785502934935552688736527612169276811219921430661269560730104993656817194798949845447878404330531009099413558553851679441862849362636701415820492801

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:46:33 2004

Input: b=55
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 55
36028797018963967
29709394421349682581506748561352511735671146354660589338100334983013513629023005613948464778384569380300882573307093993166583021489688918196401866813659068501513102536575040669092404764718730104149942468572840779882222446639141090173714982987367824047160422081624000906645512302465841101196373427960212127866826591021725392237937370575344338597212696119181702018700622690224769873260735247847462952387481428859660022095212751880193

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:46:55 2004

Input: b=99
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 99
633825300114114700748351602687
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:47:30 2004

Input: b=135
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 135
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:48:03 2004

Input: b=165
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 165
46768052394588893382517914646921056628989841375231
22887284938275379073209001944560169611929137396979158193228139583587169035699692294076812778010302076359999394867072337560183872498894608839474774135119675215891343788904116939360216959705800194876272353565978947397398978894393822441915136312028790422859625376238392203056611385191248339234111281365321873353732913869888962932995740126287547874181234456859509851450532409157491346435154345616998401

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:48:42 2004

Input: b=297
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:49:58 2004

Input: b=495
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:50:44 2004

Input: b=495+3
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 498
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/116906807424862209643328203458128541150594358787252313910117548860576207014452662674402503297353719898245953004555716821757759162353049751904590271049

Errors (if any) and Timing Info:
Timing:
real	0m0.062s
user	0m0.030s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:51:16 2004

Input: b=46*11
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 506
2047
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/102343428874134381866557958278928356493339077160115362250576769691330025876843757456047526091283764561630067310290104809276944024883568712952137648129

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:51:31 2004

Input: b=631
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 631
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731647

Errors (if any) and Timing Info:
Timing:
real	0m0.060s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:53:44 2004

Input: b=8
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 8
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/255

Errors (if any) and Timing Info:
Timing:
real	0m0.051s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:53:54 2004

Input: b=15
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 15
32767
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:13 2004

Input: b=29
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 29
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/536870911

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:23 2004

Input: b=53
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 53
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/9007199254740991

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:28 2004

Input: b=54
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 54
134217727
7975054898397647243273625651425168903057044757521014489276331189420894649062392560184334865585982274109168785072297456883538328861789959750536681900391771105188925516849805853921962109984250984439454087453707453990873843994882113872718202121756123181141833117955463863989709595574807823047970590669474629378623573233288674405464472249892555728319270710753827691713515627977920604424335965505895471709972723680929281830941565561870433124353/134217729

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:36 2004

Input: b=107
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 107
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/162259276829213363391578010288127

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:51 2004

Input: b=212
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 212
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/6582018229284824168619876730229402019930943462534319453394436095

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:57 2004

Input: b=213
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 213
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/1880576636938521191034250494351257719980269560724091272398410313

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:55:48 2004

Input: b=371
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 371
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830847

Errors (if any) and Timing Info:
Timing:
real	0m0.071s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:55:56 2004

Input: b=372
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 372
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/1374232917005945843062187503492732066304399388618354027202437688485132595267062312061044442483430372516972237385

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:56:06 2004

Input: b=743
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 743
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798207

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:56:16 2004

Input: b=6169
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 6169
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/1132513143853976343456941430420636429482132490000409193380144934783211811227259081832854888760284059394515645437326936845845103193738434069755242222161607362713429434644466369105730650084393154303392064750845079455886405020721831004793244116835882802632031414106245011324344460510646551265177647887950512266592279069905771993762737362604176000062199429473923272160328022746821366216882619965958076109619099242314967825798114969863045310981298662205978002594976430521238787444393441392045652224159160346577490367892930739221336223763829398039996168877538734878777901379624726953556490171614835153128179086234076896829337885757855434179828754541589099473853079489128803479421147070588382017669848156082419909315897781348217923830054369661809050387559506717296975405814869535088143152011983300202833115375154338433469312834363205694501665101446941904251164838509617868208200707527180009195404812364025839469920243952987889897853110013925934882308055355196519616607056001404071517968136478527615180926573445158551666305596557849407125877980712680221888491647956181721482315739970857443518430809951045492367501098843138040142528789671316439148762189930746198590973561671475383381028608500165236704010633525119251000119525174427134433480843526635337351002911987708871349375246620535583611528961114108405561300380504540611246863348637908050269409680452136403704538425555260655795844295964444195710511166344267886916398580759623275785453859243710096331600890945586586087612428075729889044575391633796079277354422411139594083731874423374731126263422765208742785544878038583144711111691797355547827796764690017518753347148835397775282446897252906900678026030019427524291930424568908313314320040056449836087022504146564626406933919424676640725378792789367125642358526502697506900406969054901686813169435870110797641388009115266987070044593722121595128182030722203123711

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:56:31 2004

Input: b=713
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 713
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032191

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:06:26 2004

Input: b=2263
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 2263
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/1701688984618219106945616555794150580925783662463607410858120803693407767459184545017671757770553547005284293865678088006575617621206967791713346471638286861668602727332832813179879409589051860042094684753686063111987344023723007614497673997859446567419383995548182090292343250195203922128689073294133498009432793901760136306122226394844656482263970841009146508125019551178271597310742086692675830822946813249514468149096890616156260348681759608755571772715239952813110803873965575797601620581857355934444181009531013367381016264456157395980686040446143899077984905269450825270686325306792462896489643229166009532741745220367312214871935455056918812195536869085846602493794145271807

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:06:36 2004

Input: b=6233
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 6233
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/20891180124786511022509376044845660770809724107603297206965793595417322359449678874162226520673022718645521242139198722981676826774467165245362649997843268709493315138402362856802914677435340026575983713253192885019625370270850477664261099178614390712158447737508350698175020401012278735044783873124165724857049192747134626621606785897776127690415596006184625334477797146962104776481133761656265471720758435127603648551576034816676763678694828009978956836084149905894075622665828236031840880990954540613311072744260687972093556141846195399328419896912031234713881141193803378923762885827373477748396708580746720812987613753031592816697107402011709680108958597278541825815681619136207246255620705275486339675293136158604757660770863589400507102055869668658019941935463138382763666697403551643941027870878686828750591358439551354782360392330221378083642990054542826844911399921501018157507673160759265117047672036584131941101955217879456935892207002283679758474971587155418872974945591802688241380429909999930286061041974821284381313319689943650835699357256977915555074656488289462787670103501679169163468520842904519869285953352995424315012700780636862595590382393359070715246663203876088892593873789278821898703586314442782458561854418195526403941335729975118546835191944653763363901567360036590197556714811809983342154285302375102613383418132017340039355086440713239862658914760234129872248077539169654186764929857631628370186262600503667937155028814339621806457449546553497641804786651573460777067768702998738618966277535624264104869183017175013358251776541054553199670200478584002323037385567181934830434846536190570538654012212291765404483162402674239623875580392401101497223795182004448699623342603001740879929129195765289628375424767271297097000048058121459184458326702081757018769103034081130217548022119205817117897673166036240790583692383261603668877522632486097518591

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:07:22 2004

Input: b=6233
a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,2^b-1)
a/(2^b-1)


Output: 6233
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/20891180124786511022509376044845660770809724107603297206965793595417322359449678874162226520673022718645521242139198722981676826774467165245362649997843268709493315138402362856802914677435340026575983713253192885019625370270850477664261099178614390712158447737508350698175020401012278735044783873124165724857049192747134626621606785897776127690415596006184625334477797146962104776481133761656265471720758435127603648551576034816676763678694828009978956836084149905894075622665828236031840880990954540613311072744260687972093556141846195399328419896912031234713881141193803378923762885827373477748396708580746720812987613753031592816697107402011709680108958597278541825815681619136207246255620705275486339675293136158604757660770863589400507102055869668658019941935463138382763666697403551643941027870878686828750591358439551354782360392330221378083642990054542826844911399921501018157507673160759265117047672036584131941101955217879456935892207002283679758474971587155418872974945591802688241380429909999930286061041974821284381313319689943650835699357256977915555074656488289462787670103501679169163468520842904519869285953352995424315012700780636862595590382393359070715246663203876088892593873789278821898703586314442782458561854418195526403941335729975118546835191944653763363901567360036590197556714811809983342154285302375102613383418132017340039355086440713239862658914760234129872248077539169654186764929857631628370186262600503667937155028814339621806457449546553497641804786651573460777067768702998738618966277535624264104869183017175013358251776541054553199670200478584002323037385567181934830434846536190570538654012212291765404483162402674239623875580392401101497223795182004448699623342603001740879929129195765289628375424767271297097000048058121459184458326702081757018769103034081130217548022119205817117897673166036240790583692383261603668877522632486097518591

Errors (if any) and Timing Info:
Timing:
real	0m0.075s
user	0m0.050s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:07:48 2004

Input: b=6233
a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,2^b-1)
(2^b-1)/a


Output: 6233
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
20891180124786511022509376044845660770809724107603297206965793595417322359449678874162226520673022718645521242139198722981676826774467165245362649997843268709493315138402362856802914677435340026575983713253192885019625370270850477664261099178614390712158447737508350698175020401012278735044783873124165724857049192747134626621606785897776127690415596006184625334477797146962104776481133761656265471720758435127603648551576034816676763678694828009978956836084149905894075622665828236031840880990954540613311072744260687972093556141846195399328419896912031234713881141193803378923762885827373477748396708580746720812987613753031592816697107402011709680108958597278541825815681619136207246255620705275486339675293136158604757660770863589400507102055869668658019941935463138382763666697403551643941027870878686828750591358439551354782360392330221378083642990054542826844911399921501018157507673160759265117047672036584131941101955217879456935892207002283679758474971587155418872974945591802688241380429909999930286061041974821284381313319689943650835699357256977915555074656488289462787670103501679169163468520842904519869285953352995424315012700780636862595590382393359070715246663203876088892593873789278821898703586314442782458561854418195526403941335729975118546835191944653763363901567360036590197556714811809983342154285302375102613383418132017340039355086440713239862658914760234129872248077539169654186764929857631628370186262600503667937155028814339621806457449546553497641804786651573460777067768702998738618966277535624264104869183017175013358251776541054553199670200478584002323037385567181934830434846536190570538654012212291765404483162402674239623875580392401101497223795182004448699623342603001740879929129195765289628375424767271297097000048058121459184458326702081757018769103034081130217548022119205817117897673166036240790583692383261603668877522632486097518591/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:08:46 2004

Input: b=3103
a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,2^b-1)
(2^b-1)/a


Output: 3103
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
12476033876379748650436537811686148864650169717821233634667631623415207811960884945024517898715871574020027550093489051769548418171134821274920513549515140478862638069180048491552559957095824996440317656168211815369965710339965574643917567860139210996193171162512688404588791164630027892589252378118637797727456421717523721149528638201445995973293495843743923381648850695208650893711277877219943119203203460242113236136518550994845465694169980338042886166873623048339258569761177427930552798299746616530419255417152692613903229717612813892988487633430819804218420985557276694725295938579577417027409971935647688085403612950575092147484664708730471239203925722067707713812507367867524963246194670601495802497581801518002556462336772927981323376005965783015993713488625171140644146761989410595706435860060000522273344219478154192153189306384174755039158789778694918433668005552002735902342528472543186571706611278879746048616237008683007/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:11:38 2004

Input: gcd(6232,24118)
gcd(6232,43630)

Output: 2
2

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:11:59 2004

Input: gcd(6232,24118)
gcd(24118,43630)

Output: 2
2

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:08 2004

Input: gcd(2^1485-1,2^271-1)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:33 2004

Input: gcd(2^1485-1,2^6233-1)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:39 2004

Input: gcd(2^1485-1,2^24119-1)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:47 2004

Input: gcd(2^1485-1,2^43631-1)


Output: 1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:56 2004

Input: gcd(2^1485-1,2^270-1)


Output: 43556142965880123323311949751266331066367

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:17:16 2004

Input: gcd(2^1485-1,2^270-1)
(2^1485-1)/(2^270-1)


Output: 43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/43556142965880123323311949751266331066369

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:17:29 2004

Input: b=270
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 270
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/43556142965880123323311949751266331066369

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:18:13 2004

Input: b=300
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 300
32767
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993/62167301746711205977613015790563010377863960498853610359085068799535547952615030554625

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:18:28 2004

Input: b=3*270
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 810
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/156764265941034957982331212844852467344715016174935345316575546050528400507616703699987815513971786183327585845364882645392028124793366098534006217152981941883280850011548582745515746292434235121276551169

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:19:25 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*270
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
810
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/156764265941034957982331212844852467344715016174935345316575546050528400507616703699987815513971786183327585845364882645392028124793366098534006217152981941883280850011548582745515746292434235121276551169

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:19:56 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*270
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
810
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/156764265941034957982331212844852467344715016174935345316575546050528400507616703699987815513971786183327585845364882645392028124793366098534006217152981941883280850011548582745515746292434235121276551169

Errors (if any) and Timing Info:
Timing:
real	0m0.065s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:20:44 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=4*270
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1080
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/297403381695556612559612499629980112026258868378658160781931029631421830000065151098319980330222473868290203977022587210047171170618018929727432926977327108411514458210201306990165757371042979508897685989859834585487514467546566868174684131527104776031421017932565450895350342849921025

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:21:06 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=270
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/43556142965880123323311949751266331066369

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:21:23 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=330
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
330
46768052394588893382517914646921056628989841375231
1
22887284938275379073209001944560169611929137396979158193228139583587169035699692294076812778010302076359999394867072337560183872498894608839474774135119675215891343788904116939360216959705800194876272353565978947397398978894393822441915136312028790422859625376238392203056611385191248339234111281365321873353732913869888962932995740126287547874181234456859509851450532409157491346435154345616998401/46768052394588893382517914646921056628989841375233

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:21:45 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393

Errors (if any) and Timing Info:
Timing:
real	0m0.063s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:22:02 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297*2
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924673

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:24 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*2
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
198
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/633825300114114700748351602689

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:32 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*3
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:39 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*4
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
396
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/254629497041810760783555711051574004642498296777127521852603480645228327333563534833352705

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:45 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*5
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.060s
sys	0m0.000s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:16 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*6
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924673

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:24 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*7
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
693
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/64836180763765514976756372870276686441066226812225988740458169640540600674052389057115025937923143615313550668166939989143897173438947027766904876940129375720181961722848232865793

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:33 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*8
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
792
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/41094811730846668025320233460065841380375795224532802150200596241665536182258169911503477984309200375884856833246007351820887458069874518348852992884861716313714131958457878300312502484191453190404826762051585

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:42 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*9
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
891
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422894427993827563852761857285882147194366986858197427763748800586851907993436095236859232257

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:49 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*10
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
990
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487169

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:54 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*11
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1089
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/10463951242053391806136963369743089385361708403260362253471542077314301899511341243210196736287195251541053951405540496659126086448553028833637005104137546492686207093774034516850711093116446190741836955256038546345868194885664441695241082408741164374325476342052044858233833568301275880677443633153

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:03 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1188
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539311325467885474089820295658141389466345803931301827155905509112638194837262201658696375695754355382153846759769135667481784823992871006683732102448703673321797883734175889913544705

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.020s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:11 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*13
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1287
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/4203730336031677396989105882831982776894754019148983630444449465897729008513969347508402685137872284350360232043496726413903498011717337891755735745974274205931710324361147234239403548440898418972505474183478711403835226912605063959063974763598869243133965393802459298013871441569947407669693573711275353118506392124886890580771779615368556337846276136632321

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:31 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=27*11
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:45 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=27*15
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
405
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/1897137590064188545819787018382342682268018984904820881345796368335399982351777793

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:26:02 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*15
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
675
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/3599131035634557106248430806148785487095840326637632087555473447502974160917168848737740674099711812639133047613063937284813746400521285507609129381595241355673601

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:26:08 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*11
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393

Errors (if any) and Timing Info:
Timing:
real	0m0.070s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:26:16 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:27:55 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a,271)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:28:31 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,271)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:28:46 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,279)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
9
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:01 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,11)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
11
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:10 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,22)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
22
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:15 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,33)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
33
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:25 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,495)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
495
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:31 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,1485)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1485
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:38 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,2970)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
2970
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:46 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,5840)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
10
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.052s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:30:00 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,2970)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
2970
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:00 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,83)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:06 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,23)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:11 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,23)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.059s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:18 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,89)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:28 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
270
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:32:14 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2971
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2971
1
1
270
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/2291485522242481218523455435925633673818249061213496543031405711844673008871586897923350460526707506892140301417655879461230494418923252864899267409118541202014236432231674003252803012936116507132769987433695942939137068233813485155651514897511695282148749863376213129282916874534872370406450547287886492737799329074995442021520460221425854419083790438070596154562479071919637363373280249168966972236499022251896743204334245408199810253202421132980310530349199928249207676410155466873143674397370693876923636466601299313984553911135249893223382897296329256529941867128164604325424973398077468107726290824140879277551015864468019283456316336542058505306680193514088348802257628591040915961381739467398133961828131412361414321545496967923356832418818191650591201908272430690308387709113081799814481605776912535307414827432494289389440274338191171385813756234737438893094493619189410980552767438847

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:32:28 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2970
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2970
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
1/1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005633

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:41:40 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=605
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
605
36028797018963967
1
270
29709394421349682581506748561352511735671146354660589338100334983013513629023005613948464778384569380300882573307093993166583021489688918196401866813659068501513102536575040669092404764718730104149942468572840779882222446639141090173714982987367824047160422081624000906645512302465841101196373427960212127866826591021725392237937370575344338597212696119181702018700622690224769873260735247847462952387481428859660022095212751880193/3685510180489786579091849642250792615912000684889898624914720255407716145155486600418403306861190367061543705438974924831217757453474860337154157767972283841765179393

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:42:19 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)


Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
270
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.053s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:42:47 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,c)



Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:43:24 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=594
c=gcd(2^1485-1,2^b-1)
gcd(a,c)



Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:43:59 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)



Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1

Errors (if any) and Timing Info:
Timing:
real	0m0.055s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:44:10 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=594
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)



Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:01 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=594
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924673

Errors (if any) and Timing Info:
Timing:
real	0m0.058s
user	0m0.020s
sys	0m0.040s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:13 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:23 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=542
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
542
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431103

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:49 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=742
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
742
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399103

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:57 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/3794275180128377091639574036764685364535950857523710002444946112771297432041422847

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.040s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:46:10 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=371
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
371
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830847

Errors (if any) and Timing Info:
Timing:
real	0m0.054s
user	0m0.030s
sys	0m0.020s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:46:16 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=37372
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
37372
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/123879075133365744588114391211583304116112357493847036537652319694609116848192570196161859869148986872103099910161444136016013770875919767199073543811572014844298126150475102039352308618073413195893801562331327377784483825385746059209627330724922832224486954036560953401464616113338671776576120772879987354097292434816721218400574233879304754253520236847287634052731287297418747331410299344957856435301162492748291656531857713621071455572187218754969585109408388023596534796118557218712630691818090914185205360286472902368347689122679336735929117380796833620166927197361354213909166335270410333093333158552018884977748946635951954514276810075857257096646083981768098761814288890407080142674222694059608385008638200680381825312564416720921189045619739936276747951064577360882818554576151269890004999108768389388822765610919482592208934343172530459085443969029395954151340622719532839183519059439823979152014415557206119009031374813779847782103774054490890257011055026284830869041094884217251186363551348949054191263513393574472542809425188460987319657042526113388640874550096157795237549532517878753438738147771348129169054015802742922582024403896249037217576213899556358174455905349779597217908789796151025447694595905780482716067618481310551196772847103243128103381475609430128936418381122600403840212941805096691912460137883352739208231873506845587996236319846023425284840003105643471986096746224543477202374367150576118551542988379303236592785206005366828917042875605330363082194316677423934193536592686653034600080361986499149611315599533061814347838164097759836364918347443312890131202145386887141153514562411618633903753611285422121915343061940164685163541010714114524116317034727575592615341426021569326490378647767585079233825312079442870183720421359669661379333277942839558872658727414652395347842916706644909489971018279771793344755968054667120383533691385086323769419591398421740886989177664264902293388852692312376521045885029430458431071431442907215001250403331188981106987916459157057623563444734676214574432595184702787263935622231950069272880399462225922936579663776253584135551221050515125040970493239777788860595667189728977368189089907588834496405239895479790395691810785256880147021629547997028571696978338198644038350873425554184893239952445375153427010567502489234927743545375347072645781846318244687868630867826818994341317385538825572626461742278754891384561737605426317164335281408909194541939629142138621029444497601120172153713377673780502210556412987915338166573158933947918508896098801097891652695911488778670749421649600517335596165499372706897854276785257014529087526256952017813919465141309092473948357925180419001952362460883583433058009180046093800758568969952455920634510000779228012443469640513546817101863364661029488804500877921899304019798588198918404619266174507662962250162783761573004837028040186882298111947900500460955817972883002603175863094830045964308606872205790849665480137158034519050719167456890460660310703702836033930198479319754135099493342824349135803826360103056382733359719751961477982238990350112002934210701855623525093638350654706334176508531856795888778023086459072494503087317770597945881132232836929170856203800419720102844754667482652881247976517037239106860397572806226242479398455595770644755355640421282531228245674093966570397774987753345859869905752368115709467714193123592845386023861255774339150880616376326876691854929231512881967500270278448800116350292704282918722871287619255620195802491294541334100020034312599224522019072434821789715002650225190756918877151528226781678285796927349952077647581056158752255405658325624262167900582034594451997367216907173239671324119693498519356086530314695710756839801987045656059411911330126810334692451002160095097860522558680116824343827141598417598319524479490961315113583741164473336595066537599170029388079845868112971520251581188977922579266606611344226794584114575662269514699953601350097657786158189758907778412476352197942946243118896075237614227907509300789504557717103581967046437615785814419335851458876761394511776008007246985679392869460755009192470697317201024647015537980881327034343693488149186262112998864450815658542780070283448200615105118933815859530527526742530603924168483245756111405061591713777657637758341973719437497194787753322340946114851740407236156631287137325947400900858920635308283953408737845345947922160379778503437830826941269346739448882868404251331060162809819721694560234630262337659267165724473767079337074905433942804095327502279524086840915913390673239435733990884385184346949915113477716364546372556894720229218377330752588289878719358129155129872241388220359626892673247829805669993980370768354302589312860049998398903560161841395955239969159287001945244142770811962331581371889573671520488116236408675253498159661565895752568416483886334979532579054990345401546484154356231580391397134394632958591832003261268308985177002744945303571466851473440445577351373071352309141756215207363133466612207508463770938250269615600089379222248398247533970318979312284052508429537474331175442777596268071062598288085794607745455483493749906742576912918402977481127971401965322375354063884943076515622630245568262738200718046348899417823454609584439993241042647457051095263145219408103681259098424494861089365851576944146372391240356581992811530250961204051284222065164242913438633799682848119818269234318549104141845470976894490383590018313158471646520749777881483941248542766441269835234576720210431808312152440305304564678512143323485301728385105975208378246125359806852551211894727684791929917187495801990697158324924597760107691027103933272969341654370926821689162336821278911359086891255903189880752778317089064324093457913588665805865303801654789955172308187233656555048238319886411068617437999617062095580465603593666239121956284809573344379258009366542587355927708272105400192832582303084334837073181864043047615184822021467925448866506635892876979967505221604083592967377998125417731237487305810751178641967923781199216398125122034972568753007492117723808170058818909134150889285576726423919859490674274450095223284414573631189721838096708458070383592691829650011267604390844605633801769360921701022028090508671677133019619607137785655105618011862009448119720073934291516438715983945442214152292483169746709252790595507278217549017728739902175665979258218439767685825155262741159777256566622307895975498564645673198038206453178318297118819824205874041583222417828021255509242487848156166345742637615370303032424446703160161025761709991602760660709135028271997684909598368656204000888036894109388269244715009747796296937797801916497030386417014561804857817762239739632797651700805858232274235822587890980387952887050478853920407369776469814346980666597348438858720250906017288459593945653638979543810459332375496014942118365627557273620638663693899879415565562754275479017289372194053185263271134929919383198289386071084127006014635668803422262274664018164903981075139518111022181084988282321374649810963823444762940495144737866725846573422390712633304715882664972565344590619604661150588729388051657874520151337690912003322205352946955277898567442689908602880538624633080295002666293384429267048577604773125325457695012121804009229836540778855586748953895264643557762251702614702932058659634149799428974048139387992231827871172908495045435132595417521936643847838046151293987769943826266964969057005428155381726993398974288817432315795794272312674538645895414596047224715640960500602949195747178287423213193121625314210397191629787350845266497990890635509209217705557833365503026078865123787469068131967996796005887524481323712652093235116142810040343121479482959840342632088331709262259386970827221214412603114199450411863839923531928457968669140147408708155453007004147789210136738863616123824384526147970975043385138882182318116336170534380826318917009802346307996977004457721889068674486927659013145443065355218709109345272227111509526413093251675841289862219597728951513747412691136196233179514422242330331775522232644319909489277447931285393196177894095809553812167479910236827504711126733587141331418196489779235490502456616696008578248294770607584120323820126597048591664995012159595322456128304792228997746279171309825615388073499781898023698128028861827792211420001882132807407165719578525353220706921067017582167273358223211975262825127121085299201556541894293014053919550140724252801238432206889464592040485419050092751806455237732767169532990795702252583687927464214431102666118454547041200029172891703970050497103299971600424159156058128209271443808401550896541670492075634379161025890456130500431384208869726034529725491403016613461607771859121801518647266473618081526946093765713391184300548634762831565828704262526622395664374146700936029702464022518004882911072224483912756472234995812350705151820591580843329927865771010177607113003398658316579158093053066814402639931945656240800476754554673927024349694862671725253971243583934275282662564690789940926576314847001218214746470746991412103500626192802369395205287218226442492568182686664047333209310076413928696684731614002870569015161491213309504941384987444595747015428264183207316196216046851192280712923809290744852642654490956965575569436440170326627161777070350159951985727884429771575961753885036551803884631767831837774581869545769018687369638328119255091030779811114425578949471774846632468214213988857811358327683325314726128292737110157909767614659899855465684639296179447382
 ** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real	0m0.100s
user	0m0.070s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:46:24 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=372
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
372
7
1
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/1374232917005945843062187503492732066304399388618354027202437688485132595267062312061044442483430372516972237385

Errors (if any) and Timing Info:
Timing:
real	0m0.056s
user	0m0.050s
sys	0m0.010s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:47:39 2004

Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=506
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)




Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
506
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/102343428874134381866557958278928356493339077160115362250576769691330025876843757456047526091283764561630067310290104809276944024883568712952137648129

Errors (if any) and Timing Info:
Timing:
real	0m0.057s
user	0m0.030s
sys	0m0.030s


************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:47:51 2004

Input: a=79553525801730516714512187155037300