************** PARI ***************** Host resnet-229-94.resnet.umbc.edu. (130.85.229.94) Time: Sun Feb 8 01:22:04 2004 Input: 3+2 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.000s ************** PARI ***************** Host c-180-200-120.n.dial.de.ignite.net. (62.180.200.120) Time: Sun Feb 8 01:40:53 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:52:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:53:14 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:53:52 2004 Input: foolr(4688/12346788) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: foolr(4688/12346788) ^-------------------- Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:54:16 2004 Input: factor(4688/12346788) Output: [2 2] [3 -1] [293 1] [691 -1] [1489 -1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host p50861DDB.dip.t-dialin.net. (80.134.29.219) Time: Sun Feb 8 11:50:57 2004 Input: solve(y=x^3-3*x^2-9*x+30,x); Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ...olve(y=x^3-3*x^2-9*x+30,x); ^-- Timing: real 0m0.067s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-b41f72d5.07-114-6c6b701.cust.bredbandsbolaget.se. (213.114.31.180) Time: Mon Feb 9 08:28:01 2004 Input: a := 2+3; print a; Output: Errors (if any) and Timing Info: *** unexpected character: a:=2+3; ^----- Timing: real 0m0.074s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host qn-212-127-199-12.quicknet.nl. (212.127.199.12) Time: Wed Feb 11 13:32:36 2004 Input: 2+3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.089s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host qn-212-127-199-12.quicknet.nl. (212.127.199.12) Time: Wed Feb 11 13:33:10 2004 Input: 2+3 log1000 Output: 5 log1000 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host qn-212-127-199-12.quicknet.nl. (212.127.199.12) Time: Wed Feb 11 13:33:36 2004 Input: 2+3 log1000+log10 Output: 5 log1000 + log10 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cae168-252-126.sc.rr.com. (24.168.252.126) Time: Wed Feb 11 23:33:35 2004 Input: 9+6+6 Output: 21 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (193.63.160.251) Time: Thu Feb 12 04:47:04 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host dl-nas1-gyn-C89A386D.p001.terra.com.br. (200.154.56.109) Time: Thu Feb 12 07:11:38 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam27-47.fas.harvard.edu. (140.247.27.47) Time: Thu Feb 12 10:00:13 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 84e5e4e4.math.leidenuniv.nl. (132.229.228.228) Time: Thu Feb 12 10:52:58 2004 Input: ?BetterPolynomial Output: Errors (if any) and Timing Info: *** BetterPolynomial: unknown identifier. Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 84e5e4e4.math.leidenuniv.nl. (132.229.228.228) Time: Thu Feb 12 10:53:04 2004 Input: ?Better Output: Errors (if any) and Timing Info: *** Better: unknown identifier. Timing: real 0m0.080s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host cache1.nottingham.ac.uk. (128.243.220.21) Time: Thu Feb 12 11:42:30 2004 Input: F:=FiniteField(8); F; E:=EllipticCurve([F|0,0,1,F.1^3,1]); E; Points(E); V:=ProjectiveSpace(F,1); V; Points(V); Output: Errors (if any) and Timing Info: *** unexpected character: F:=FiniteField(8); ^---------------- *** unexpected character: E:=EllipticCurve([F|0, ^-------------------- *** expected character: '=' instead of: Points(E); ^- *** unexpected character: V:=ProjectiveSpace(F,1 ^-------------------- *** expected character: '=' instead of: Points(V); ^- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 241.Red-217-126-124.pooles.rima-tde.net. (217.126.124.241) Time: Thu Feb 12 15:06:00 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host barax3.su.lt. (193.219.168.14) Time: Fri Feb 13 01:54:16 2004 Input: 10+202 Output: 212 Errors (if any) and Timing Info: Timing: real 0m0.138s user 0m0.050s sys 0m0.050s ************** PARI ***************** Host janssons.medic.chalmers.se. (129.16.32.56) Time: Fri Feb 13 08:50:27 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host cacheng.unige.ch. (129.194.8.73) Time: Fri Feb 13 09:08:00 2004 Input: xxx Output: xxx Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host mathl30.sogang.ac.kr. (163.239.42.230) Time: Fri Feb 13 20:36:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.109s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host87-9.pool80182.interbusiness.it. (80.182.9.87) Time: Sun Feb 15 05:52:06 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.085s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162) Time: Sun Feb 15 16:58:17 2004 Input: p = 250 P = 3490529510847650949147849619903898133417764638493387843990820577 b P Q = 32769132993266709549961988190834461413177642967992942539798288533 b Q N=P*Q b N E = 9007 b E D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 b D M = 200805001301070903002315180419000118050019172105011309190800151919090618010705 b M C = Mod(M^E,N) b C X = Mod(C^D,N) b X b M Output: 250 3490529510847650949147849619903898133417764638493387843990820577 bP 32769132993266709549961988190834461413177642967992942539798288533 bQ 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541 bN 9007 bE 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 bD 200805001301070903002315180419000118050019172105011309190800151919090618010705 bM Mod(96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154, 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541) bC bX bM Errors (if any) and Timing Info: *** forbidden division t_INTMOD % t_INT. Timing: real 0m1.479s user 0m1.400s sys 0m0.040s ************** PARI ***************** Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162) Time: Sun Feb 15 17:04:08 2004 Input: p = 250 P = 3490529510847650949147849619903898133417764638493387843990820577 Q = 32769132993266709549961988190834461413177642967992942539798288533 N=P*Q D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 C = 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 X = Mod(C^D,N) Output: 250 3490529510847650949147849619903898133417764638493387843990820577 32769132993266709549961988190834461413177642967992942539798288533 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 Errors (if any) and Timing Info: Timing: real 0m21.073s user 0m20.930s sys 0m0.070s ************** PARI ***************** Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162) Time: Sun Feb 15 17:07:02 2004 Input: p = 250 P = 3490529510847650949147849619903898133417764638493387843990820577 Q = 32769132993266709549961988190834461413177642967992942539798288533 N=P*Q D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 C = 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 X = Mod(C^D,N) Output: 250 3490529510847650949147849619903898133417764638493387843990820577 32769132993266709549961988190834461413177642967992942539798288533 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 Errors (if any) and Timing Info: Timing: real 0m21.030s user 0m20.940s sys 0m0.060s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:53:09 2004 Input: cos(x) Output: 1 - 1/2*x^2 + 1/24*x^4 - 1/720*x^6 + 1/40320*x^8 - 1/3628800*x^10 + 1/479001600*x^12 - 1/87178291200*x^14 + 1/20922789888000*x^16 + O(x^17) Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:53:40 2004 Input: (1+x)^3 Output: x^3 + 3*x^2 + 3*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:58:18 2004 Input: n=3+I-I Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:58:27 2004 Input: n=3+I-I type(n) Output: 3 "t_COMPLEX" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:58:48 2004 Input: n=3+I-I type(n) (1+x)^n Output: 3 "t_COMPLEX" 1 + 3*x + 3*x^2 + x^3 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:29:31 2004 Input: m=[a,b,c; d,e,f] m[1,2] Output: [a b c] [d e f] b Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:33:51 2004 Input: h=mathilbert(20) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:35:17 2004 Input: h=mathilbert(20) d=matdet(h) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.060s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:36:22 2004 Input: h=mathilbert(20) d=matdet(h) 1.*d sizedigit(1/d) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 Errors (if any) and Timing Info: Timing: real 0m0.081s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:37:25 2004 Input: h=mathilbert(20) d=matdet(h) 1.*d sizedigit(1/d) hr=1.*h dr=matdet(hr) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 [1.000000000000000000000000000 0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999] [0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761] [0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 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0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703] [0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571] [0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310] [0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333] [0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333 0.03225806451612903225806451612] [0.07692307692307692307692307692 0.07142857142 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.082s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:38:05 2004 Input: h=mathilbert(20) d=matdet(h) 1.*d sizedigit(1/d) hr=1.*h dr=matdet(hr); Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 [1.000000000000000000000000000 0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999] [0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761] [0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545] [0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782] [0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666] [0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999] [0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846] [0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703] [0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571] [0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310] [0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333] [0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333 0.03225806451612903225806451612] [0.07692307692307692307692307692 0.07142857142 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.089s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:38:29 2004 Input: h=mathilbert(20); d=matdet(h) 1.*d sizedigit(1/d) hr=1.*h; dr=matdet(hr) Output: 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 4.214994460011957212043903530 E-226 Errors (if any) and Timing Info: Timing: real 0m0.081s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:40:01 2004 Input: m=[a,b,c;d,e,f;g,h,i] n=[1,2,3;4,5,6;7,8,9] m*n Output: [a b c] [d e f] [g h i] [1 2 3] [4 5 6] [7 8 9] [a + (4*b + 7*c) 2*a + (5*b + 8*c) 3*a + (6*b + 9*c)] [d + (4*e + 7*f) 2*d + (5*e + 8*f) 3*d + (6*e + 9*f)] [g + (4*h + 7*i) 2*g + (5*h + 8*i) 3*g + (6*h + 9*i)] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:41:15 2004 Input: vector(10,i,i^2) Output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:43:36 2004 Input: n=10^15+3 Output: 1000000000000003 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:44:31 2004 Input: n=10^15+3 factor(n,200000) Output: 1000000000000003 [1000000000000003 1] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:46:38 2004 Input: n=10^15+3 factor(n,200000) a=Mod(2,n) a^(n-1) Output: 1000000000000003 [1000000000000003 1] Mod(2, 1000000000000003) Mod(70605991389233, 1000000000000003) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:47:04 2004 Input: n=10^15+3 factor(n,200000) a=Mod(2,n) a^(n-1) factor(n) Output: 1000000000000003 [1000000000000003 1] Mod(2, 1000000000000003) Mod(70605991389233, 1000000000000003) [14902357 1] [67103479 1] Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:55:21 2004 Input: nfint(x^2+1) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: nfint(x^2+1) ^----- Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:55:48 2004 Input: k=nfinit(x^2+1) Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:55:54 2004 Input: k=nfinit(x^2+1); Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:56:09 2004 Input: k=nfinit(x^2+5); k.disc Output: -20 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 21:10:07 2004 Input: k=nfinit(x^2-5); k.disc k.fu Output: 5 Errors (if any) and Timing Info: *** incorrect type in .fu: k.fu ^-- Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:07:06 2004 Input: k=bnfinit(x^2-5); k.disc k.fu Output: 5 [1/2*x - 1/2] Errors (if any) and Timing Info: Timing: real 0m0.095s user 0m0.080s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:11:13 2004 Input: n=[-2,1,17;1,0,-10;0,0,1] m=[4,7,2;2,4,6;0,0,0] m*n Output: [-2 1 17] [1 0 -10] [0 0 1] [4 7 2] [2 4 6] [0 0 0] [-1 4 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:12:32 2004 Input: k=nfinit(x^2-5); k.disc k.fu Output: 5 Errors (if any) and Timing Info: *** incorrect type in .fu: k.fu ^-- Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:12:38 2004 Input: m=[a,b,c; d,e,f] m[1,2] Output: [a b c] [d e f] b Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:16:50 2004 Input: m=[4,7,2; 2,4,6; 0,0,0] n=[-2,1,17; 1,0,-10; 0,0,1] a=m*n Output: [4 7 2] [2 4 6] [0 0 0] [-2 1 17] [1 0 -10] [0 0 1] [-1 4 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:19:40 2004 Input: m=[4,7,2; 2,4,6; ,,] n=[-2,1,17; 1,0,-10; 0,0,1] a=m*n Output: [-2 1 17] [1 0 -10] [0 0 1] [-2*m m 17*m] [m 0 -10*m] [0 0 m] Errors (if any) and Timing Info: *** unexpected character: m=[4,7,2;2,4,6;,,] ^--- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:19:59 2004 Input: m=[4,7,2; 2,4,6; 0, 0, 0] n=[-2,1,17; 1,0,-10; 0,0,1] a=m*n Output: [4 7 2] [2 4 6] [0 0 0] [-2 1 17] [1 0 -10] [0 0 1] [-1 4 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:28:11 2004 Input: k=bnfinit(x^3-2); k.fu Output: [x - 1] Errors (if any) and Timing Info: Timing: real 0m0.107s user 0m0.100s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:29:15 2004 Input: k=bnfinit(x^3-2); k.fu k.roots Output: [x - 1] [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I] Errors (if any) and Timing Info: Timing: real 0m0.109s user 0m0.090s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:31:07 2004 Input: k=nfinit(x^3-2); k.disc k.zk Output: -108 [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:47:10 2004 Input: polcompositum(x^3-2,x^3-2) Output: [x^3 + 2, x^6 + 40*x^3 + 1372]~ Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:47:57 2004 Input: k=nfinit(x^6 + 40*x^3 + 1372) Output: [x^6 + 40*x^3 + 1372, [0, 3], -34992, 48009024, [[1, 2.519842099789746329534421214 + 2.182247271943442807120145228*I, 1.587401051968199474751705639 + 10.99783709598882101106783357*I, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I, 0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -1.923661050931536319759458123 - 5.115708079723970549004873536*I; 1, 0.6299605249474365823836053036 + 3.273370907915164210680217842*I, -10.31810683779329658588608665 + 4.124188910995807879150437590*I, -0.5000000000000000000000000000 - 0.8660254037844386467637231707*I, 0.6299605249474365823836053036 + 1.091123635971721403560072614*I, 4.262203155904598424255116917 - 2.849063741240763986472595062*I; 1, -3.149802624737182911918026518 + 1.091123635971721403560072614*I, 8.730705785825097111134381016 - 6.873648184993013131917395984*I, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I, -1.259921049894873164767210607 + 0.E-77*I, -3.838542104973062104495658794 + 3.132669742267645209296001644*I], [2, 2, 2; 5.039684199579492659068842429 - 4.364494543886885614240290456*I, 1.259921049894873164767210607 - 6.546741815830328421360435685*I, -6.299605249474365823836053036 - 2.182247271943442807120145228*I; 3.174802103936398949503411278 - 21.99567419197764202213566715*I, -20.63621367558659317177217331 - 8.248377821991615758300875181*I, 17.46141157165019422226876203 + 13.74729636998602626383479196*I; -1.000000000000000000000000000 - 1.732050807568877293527446341*I, -1.000000000000000000000000000 + 1.732050807568877293527446341*I, -1.000000000000000000000000000 - 1.732050807568877293527446341*I; 1.259921049894873164767210607 - 2.182247271943442807120145228*I, 1.259921049894873164767210607 - 2.182247271943442807120145228*I, -2.519842099789746329534421214 + 0.E-77*I; -3.847322101863072639518916246 + 10.23141615944794109800974707*I, 8.524406311809196848510233835 + 5.698127482481527972945190124*I, -7.677084209946124208991317589 - 6.265339484535290418592003290*I], [6, 0.E-76, 2.76357393 E-76, -3.000000000000000000000000000, 1.03634022 E-76, -3.000000000000000000000000000; 0.E-76, 66.67084418266437793957163685, 0.E-75, 4.83625438 E-76, 23.81101577952299212127558458, -14.28660946771379527276535075; 2.76357393 E-76, 0.E-75, 740.8335773381854208831198370, -2.76357393 E-76, 1.10542957 E-75, -340.1786834716157544871468639; -3.000000000000000000000000000, 4.83625438 E-76, -2.76357393 E-76, 6.000000000000000000000000000, 1.03634022 E-76, 3.000000000000000000000000000; 1.03634022 E-76, 23.81101577952299212127558458, 1.10542957 E-75, 1.03634022 E-76, 9.524406311809196848510233835, -4.762203155904598424255116917; -3.000000000000000000000000000, -14.28660946771379527276535075, -340.1786834716157544871468639, 3.000000000000000000000000000, -4.762203155904598424255116917, 161.4050122909006713806375265], [6, 0, 0, -3, 0, -3; 0, 0, -120, 0, 0, 54; 0, -120, 0, 0, -66, 18; -3, 0, 0, -3, 0, 0; 0, 0, -66, 0, 0, 30; -3, 54, 18, 0, 30, -15], [-18, -12, -6, -12, -12, -15; 0, -6, 0, 0, 0, -3; 0, 0, -3, 0, 0, 0; 0, 0, 0, -6, 0, -3; 0, 0, 0, 0, -6, -3; 0, 0, 0, 0, 0, -3], [-3888, 21384, 0, 3888, -38880, 0; 21384, 42768, 29160, -21384, -60264, 64152; 0, 29160, 0, 0, -52488, 0; 3888, -21384, 0, 7776, 38880, 0; -38880, -60264, -52488, 38880, 77760, -116640; 0, 64152, 0, 0, -116640, 0], [11664, [-3888, 3888, 0, 3888, 1944, 0]~]], [2.519842099789746329534421214 + 2.182247271943442807120145228*I, 0.6299605249474365823836053036 + 3.273370907915164210680217842*I, -3.149802624737182911918026518 + 1.091123635971721403560072614*I], [1, x, x^2, 1/36*x^3 + 1/18, 1/252*x^4 + 55/126*x, 1/5292*x^5 + 1/756*x^4 + 1/108*x^3 - 1205/2646*x^2 - 71/378*x - 17/54], [1, 0, 0, -2, 0, 1764; 0, 1, 0, 0, -110, 1764; 0, 0, 1, 0, 0, 2410; 0, 0, 0, 36, 0, -1764; 0, 0, 0, 0, 252, -1764; 0, 0, 0, 0, 0, 5292], [1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 7, 3, 0, -2, 0, 49, -6, 15, 0, 0, 49, -1, 0, -23, 0, 7, -6, 0, 5, 2, 0, 3, 15, -23, 2, -15; 0, 1, 0, 0, 0, 0, 1, 0, 0, -3, 7, 1, 0, 0, -110, 49, 0, 67, 0, -3, 49, 0, -1, -22, 0, 7, 0, -1, 5, -1, 0, 1, 67, -22, -1, -39; 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 10, 3, 1, 0, 0, 67, 0, 22, 0, 0, 67, 0, 0, -31, 0, 10, 0, 0, 7, -1, 0, 3, 22, -31, -1, -22; 0, 0, 0, 1, 0, 0, 0, 0, 36, 0, -7, -19, 0, 36, 0, -49, 10, -25, 1, 0, -49, -1, 0, 22, 0, -7, 10, 0, -5, -4, 0, -19, -25, 22, -4, 24; 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, -7, 0, 0, 0, 252, -49, 0, -133, 0, 7, -49, 0, 2, 21, 1, -7, 0, 2, -5, 1, 0, 0, -133, 21, 1, 69; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 21, 7, 0, 0, 0, 147, 0, 49, 0, 0, 147, 0, 0, -68, 0, 21, 0, 0, 15, -2, 1, 7, 49, -68, -2, -49]] Errors (if any) and Timing Info: Timing: real 0m0.079s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:48:08 2004 Input: k=nfinit(x^6 + 40*x^3 + 1372); k.zk Output: [1, x, x^2, 1/36*x^3 + 1/18, 1/252*x^4 + 55/126*x, 1/5292*x^5 + 1/756*x^4 + 1/108*x^3 - 1205/2646*x^2 - 71/378*x - 17/54] Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.060s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:49:18 2004 Input: polyredabs(x^6 + 40*x^3 + 1372) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: polyredabs(x^6+40*x^3+1372) ^--------------- Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:49:41 2004 Input: polredabs(x^6 + 40*x^3 + 1372) Output: x^6 - 3*x^5 + 5*x^3 - 3*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.087s user 0m0.070s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:50:06 2004 Input: polisirreducible(x^6 + 40*x^3 + 1372) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:50:26 2004 Input: polisirreducible(x^2-1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:50:56 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:51:16 2004 Input: k=nfinit(x^3-2); k.zk Output: [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:51:26 2004 Input: k=nfinit(x^3-2); k.zk w=x Output: [1, x, x^2] x Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:51:50 2004 Input: k=nfinit(x^3-2); k.zk w=x w1=1 w2=x w3=x^2 Output: [1, x, x^2] x 1 x x^2 Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:53:56 2004 Input: k=nfinit(x^3-2); k.zk w=x w1=1 w2=x w3=x^2 trace(w3) Output: [1, x, x^2] x 1 x x^2 2*x^2 Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.79.220.21) Time: Mon Feb 16 00:18:33 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 2(SERVFAIL) (195.198.73.254) Time: Mon Feb 16 04:48:46 2004 Input: factor(4080) Output: [2 4] [3 1] [5 1] [17 1] Errors (if any) and Timing Info: Timing: real 0m0.092s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.10.10) Time: Mon Feb 16 07:56:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host nat-b.acn.pl. (212.76.39.249) Time: Mon Feb 16 12:57:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.083s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (140.115.25.8) Time: Mon Feb 16 20:07:09 2004 Input: 1 Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Feb 16 21:17:00 2004 Input: k=nfinit(x^2+3) k.zk Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [1, 1/2*x + 1/2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (203.162.3.146) Time: Tue Feb 17 03:08:15 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ZWLEE.ECE.CMU.EDU. (128.2.132.182) Time: Tue Feb 17 10:35:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.065s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:14 2004 Input: prime(7) Output: 17 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:24 2004 Input: prime(71) Output: 353 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:30 2004 Input: prime(71111) Output: Errors (if any) and Timing Info: *** not enough precalculated primes Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:38 2004 Input: prime(111) Output: 607 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:46 2004 Input: prime(1111) Output: 8933 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host net-29067.fas.harvard.edu. (140.247.28.233) Time: Tue Feb 17 15:12:47 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host net-29067.fas.harvard.edu. (140.247.28.233) Time: Tue Feb 17 15:12:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ar3-m13.net.hinet.hr. (195.29.66.13) Time: Tue Feb 17 17:16:18 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam149-32.student.harvard.edu. (140.247.149.32) Time: Tue Feb 17 18:39:58 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam149-32.student.harvard.edu. (140.247.149.32) Time: Tue Feb 17 20:06:30 2004 Input: Q := PolynomialRing(Rationals()); K := NumberField(x^3-2); E := EquationOrder(K); O := MaximalOrder(K); IntegralBasis(K); Output: Errors (if any) and Timing Info: *** unexpected character: Q:=PolynomialRing(Rat ^-------------------- *** unexpected character: K:=NumberField(x^3-2) ^-------------------- *** unexpected character: E:=EquationOrder(K) ^-------------------- *** expected character: '(' instead of: O:=MaximalOrder(K) ^-------------------- *** expected character: '=' instead of: IntegralBasis(K); ^- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam149-32.student.harvard.edu. (140.247.149.32) Time: Tue Feb 17 20:06:50 2004 Input: Q := PolynomialRing(Rationals()); K := NumberField(x^3-2); E := EquationOrder(K); O := MaximalOrder(K); IntegralBasis(K); Output: Errors (if any) and Timing Info: *** unexpected character: Q:=PolynomialRing(Rat ^-------------------- *** unexpected character: K:=NumberField(x^3-2); ^-------------------- *** unexpected character: E:=EquationOrder(K); ^------------------ *** expected character: '(' instead of: O:=MaximalOrder(K); ^------------------ *** expected character: '=' instead of: IntegralBasis(K); ^- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam149-32.student.harvard.edu. (140.247.149.32) Time: Tue Feb 17 20:06:55 2004 Input: Q := PolynomialRing(Rationals()); K := NumberField(x^3-2); E := EquationOrder(K); O := MaximalOrder(K); IntegralBasis(K); Output: Errors (if any) and Timing Info: *** unexpected character: Q:=PolynomialRing(Rat ^-------------------- *** unexpected character: K:=NumberField(x^3-2); ^-------------------- *** unexpected character: E:=EquationOrder(K); ^------------------ *** expected character: '(' instead of: O:=MaximalOrder(K); ^------------------ *** expected character: '=' instead of: IntegralBasis(K); ^- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host d66-222-151-70.abhsia.telus.net. (66.222.151.70) Time: Tue Feb 17 21:21:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam183-108.student.harvard.edu. (140.247.183.108) Time: Tue Feb 17 21:37:08 2004 Input: w = quadgen(-3) Output: w Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam183-108.student.harvard.edu. (140.247.183.108) Time: Tue Feb 17 21:38:26 2004 Input: w = quadgen(-3) charpoly(w) Output: w x^2 - x + 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Wed Feb 18 00:36:13 2004 Input: k=nfinit(x^3-2); k.zk Output: [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ps.melco.co.jp. (192.218.140.157) Time: Wed Feb 18 02:47:57 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ps.melco.co.jp. (192.218.140.157) Time: Wed Feb 18 02:48:05 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host unallocated.star.net.uk. (62.173.118.42) Time: Wed Feb 18 04:48:36 2004 Input: integrate( x ) Output: Errors (if any) and Timing Info: *** expected character: '=' instead of: integrate(x) ^ Timing: real 0m0.101s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host p3E9E627B.dip.t-dialin.net. (62.158.98.123) Time: Wed Feb 18 04:59:39 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host aula-a-siee03.uab.es. (158.109.66.3) Time: Wed Feb 18 06:02:00 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228) Time: Wed Feb 18 06:55:04 2004 Input: O5:=OrderMaximal(Z,2,5); Output: Errors (if any) and Timing Info: *** unexpected character: O5:=OrderMaximal(Z,2,5) ^-------------------- Timing: real 0m0.072s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228) Time: Wed Feb 18 06:55:21 2004 Input: 2^3; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228) Time: Wed Feb 18 06:55:27 2004 Input: 2^3 Output: 8 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pxy-2b.kyoto-u.ac.jp. (130.54.130.228) Time: Wed Feb 18 06:55:35 2004 Input: ?5 Output: elladd ellak ellan ellap ellbil ellchangecurve ellchangepoint elleisnum elleta ellglobalred ellheight ellheightmatrix ellinit ellisoncurve ellj elllocalred elllseries ellorder ellordinate ellpointtoz ellpow ellrootno ellsigma ellsub elltaniyama elltors ellwp ellzeta ellztopoint Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (159.226.47.109) Time: Wed Feb 18 08:00:54 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host scylla.inria.fr. (138.96.81.2) Time: Wed Feb 18 08:18:09 2004 Input: 2+2; Output: Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host250-185.pool81115.interbusiness.it. (81.115.185.250) Time: Wed Feb 18 09:47:14 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sv4.ictp.trieste.it. (140.105.16.64) Time: Wed Feb 18 17:25:10 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-129.student.harvard.edu. (140.247.129.129) Time: Wed Feb 18 18:06:02 2004 Input: k=nfint(x^3-2) k.zk Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: k=nfint(x^3-2) ^----- *** incorrect type in .zk: k.zk ^-- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-129.student.harvard.edu. (140.247.129.129) Time: Wed Feb 18 18:06:17 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:42:13 2004 Input: 5883377743366005002288555544466433777 isPrime Output: Errors (if any) and Timing Info: *** unused characters: ...6005002288555544466433777isPrime ^------- Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:42:42 2004 Input: isPrime(5883377743366005002288555544466433777) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: isPrime(588337774336 ^-------------------- Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:44:33 2004 Input: isprime(5883377743366005002288555544466433777) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:45:10 2004 Input: isprime(5883377743366005002288555544466433777,1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.535s user 0m0.410s sys 0m0.110s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:45:17 2004 Input: isprime(5883377743366005002288555544466433777,2) Output: [2 3 1] [54327724247 2 1] [6768387854580168176412713 2 [2, 3, 1; 11, 2, 1; 6521, 2, 1; 495362689, 2, 1]] Errors (if any) and Timing Info: Timing: real 0m0.490s user 0m0.400s sys 0m0.090s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:49:43 2004 Input: 2^20000000 Output: Errors (if any) and Timing Info: Timing: real 0m21.519s user 0m20.690s sys 0m0.320s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:49:59 2004 Input: 2^200000 Output: 99800518184712095608593463092135054200417656103462208291265709591958074932232810090344916884594500291804056197724652993840208785217853809690514645183408328250940272679183869636844487529587189802740208507982133110277632121378138832899596473848775467959772358315263173254702771847256091748073696848231369760331228229619044316945416995480226413366970077655937438323193255485036644933460082715332045398311889611499157507286429209645841695640376164642677212124841162469956918428360565615297191752235923602207564330471988800835517172132891662868630816411806824514869142993260088381373631262004530298771097082280052096264921122583943147923504698080941330437129795904282578193113643235016502808125433389309168049521182199926824280185340574291483996393270413103554391747309114969478808014329678130773379674593066476713838133767708266330819071156308574848806184940145762056026910310979683819243947876773698147718677234380079241153937958702382398626844268866726889100337741907926648508453728226773115885902038501124141946368716790232080903502437965974429265003926875956738209665568756642601632371986503819935750870882896672939108949857170828479450551879188542377473261510730458436817831994821552328277232929419749537716137989917946808413512564635802735235905878092695835453596455903696295558101672758847965243077030004769663333370693073698254301367191797793753983823638339617100648567578003058355100035573871458564550014203089961782237854892686954488884829703897410873895245242351234294424629784242817365446137295218008381093874616472167738177782572329768938016512448596154223643471482967214892212612386714895304217364607576611469782452124650384687257282142546783447368188044389025697195283627422620770407576201291206099809951907519445427106649398657158487860070320129460743685009882920451019617521602060623715835175228451465481162030025083129250593611650674577624402582151140036695260195246228236144295157222248820457966771676456843212519195898598801588240259719667623047476302096626701030800100048065172961629582861198945852680960170041638651872615159208417070928890359947233112469327817691567909371476085128496447585647030616906085451908387094214973860862258138486186311474880962901222988407870448601288817923871097867557755088882335690773560605458579831364089258301270662607699507426434127224288290828428886499780173033581662994920431543929802162977098603994367498288338380913535189996589705763908068198799265447875104710378061568685725923785552152938044789728014097947216600357264326770097317476625893194709750622782116332559490278955728300235489797782051703630987769269130146370897797266960142349384410795414288182691845442025252018596049931142851515711686589027419859696878245926699210061088808674816913878264757424183406297610332705841394861985637270023371607443990717562875274658853416129328765441992753543039092433467832643614667233037944020478791986132187002334955792773978651669795303599698117036280306371972461588690174552184703438215220054131811728605262306762439336633244714265473943396899414511255446889161879088733828912152036588538428173327817818066557981493656805822077480339324942154551903668254171599960631739224369057641626677713835229828656079766213253531264769925945604938388423173737589397021708790991918905383615160819258074825983307939227748464663652960271212142080071590202839632556217477876329804949563909853010242507511833332215347462425563001628999160656058983932172649509971985091775881855607340982120616380247407765688709112535105929938234478430766762272916541641356808258842083911903093810552614347935512782961727354948370099284831150462331386666329468124055930565650141712955744158596644532547309706207081972608363544568219191939577441563032861476452954343145478048021484050699599288654388612116101255850174151281769572714459353945957957996917809688689747544994343046945703060383470974278312032148442627943470612528712143583460663953643390460356582691046971899239437679937608809992180574480421249939543711601481183569171385549985852595764519310194602629163547523655815431248176065825811198501927136564874303887018356631484944386800707138035341420452336617818612928840336731945806313597927433366673971525306436527744827440011342746410735993977441006948094341456774197566509293389118560836739973059247814698499211551094495437081332953623615532098207593109046093131217788677397306923521596516813854384640878701096300870163282237340979472253237231866042025180617287138637756903583363694627567436864918637580245709246403643227782398487959279266262441793209415598783514862960471023848607443479728949664196320712495666887018312889059811792168365036820675330223524692355532999890697488757879084074854624577441261300538997326679644168765078658634938236494531475611115159892731473085865950610698622123409338769952035136745895668267460610723162616713735027147850491920016034172291089820122260883099086176298872070243489939663610795811346363752181017554067425431559752550601382026156911378089510053405073274212796659234543581808558269430697684822358566514117243764262461830536020164625001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 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m1.102s user 0m0.810s sys 0m0.260s ************** PARI ***************** Host p508A81E9.dip0.t-ipconnect.de. (80.138.129.233) Time: Wed Feb 18 18:50:41 2004 Input: 2^2000000 Output: Errors (if any) and Timing Info: Timing: real 0m21.099s user 0m20.940s sys 0m0.070s ************** PARI ***************** Host roam129-129.student.harvard.edu. (140.247.129.129) Time: Wed Feb 18 19:14:15 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:22:09 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:35:48 2004 Input: k=nfinit(x^2-3) k.zk Output: [x^2 - 3, [2, 0], 12, 1, [[1, -1.732050807568877293527446341; 1, 1.732050807568877293527446341], [1, 1; -1.732050807568877293527446341, 1.732050807568877293527446341], [2, 0.E-67; 0.E-67, 6.000000000000000000000000000], [2, 0; 0, 6], [6, 0; 0, 2], [6, 0; 0, 2], [6, [0, 2]~]], [-1.732050807568877293527446341, 1.732050807568877293527446341], [1, x], [1, 0; 0, 1], [1, 0, 0, 3; 0, 1, 1, 0]] [1, x] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:36:16 2004 Input: k=nfinit(x^2+3) k.zk Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [1, 1/2*x + 1/2] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:36:44 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:36:58 2004 Input: k=nfinit(x^2-3) k.zk Output: [x^2 - 3, [2, 0], 12, 1, [[1, -1.732050807568877293527446341; 1, 1.732050807568877293527446341], [1, 1; -1.732050807568877293527446341, 1.732050807568877293527446341], [2, 0.E-67; 0.E-67, 6.000000000000000000000000000], [2, 0; 0, 6], [6, 0; 0, 2], [6, 0; 0, 2], [6, [0, 2]~]], [-1.732050807568877293527446341, 1.732050807568877293527446341], [1, x], [1, 0; 0, 1], [1, 0, 0, 3; 0, 1, 1, 0]] [1, x] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:37:38 2004 Input: k=nfinit(x^2+3) k.zk Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [1, 1/2*x + 1/2] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam159-55.student.harvard.edu. (140.247.159.55) Time: Wed Feb 18 19:37:52 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:38:44 2004 Input: Z := Integers(); Z3 := RSpace(Z,3); M := Hom(Z3, Z3); A := M ! [4, 7, 2, 2, 4, 6, 0, 0, 0]; print A; Output: Errors (if any) and Timing Info: *** unexpected character: Z:=Integers(); ^------------ *** unexpected character: Z3:=RSpace(Z,3); ^------------- *** unexpected character: M:=Hom(Z3,Z3); ^------------ *** unexpected character: A:=M![4,7,2,2,4,6,0,0, ^-------------------- Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:43:03 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] print x Output: [4 7 2] [2 4 6] [0 0 0] printx Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:43:18 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] matsnf(x) Output: [4 7 2] [2 4 6] [0 0 0] [0, 2, 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:44:31 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] matsnf(x,1) Output: [4 7 2] [2 4 6] [0 0 0] [[0, 0, -1; 0, 1, 0; 1, 0, 0], [-17, -7, 2; 10, 4, -1; -1, 0, 0], [0, 0, 0; 0, 2, 0; 0, 0, 1]] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:50:39 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 0] [0 2 0] [0 0 1] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:51:09 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [1, 0, 0; 0, 1, 0; 0, 0, -1] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [1 0 0] [0 1 0] [0 0 -1] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 1] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:51:44 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] matsnf(x,1) Output: [4 7 2] [2 4 6] [0 0 0] [[0, 0, -1; 0, 1, 0; 1, 0, 0], [-17, -7, 2; 10, 4, -1; -1, 0, 0], [0, 0, 0; 0, 2, 0; 0, 0, 1]] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:53:13 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 0] [0 2 0] [0 0 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:53:36 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, 1; 0, 1, 0; -1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [0 0 1] [0 1 0] [-1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 0] [0 2 0] [0 0 -1] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:53:53 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 0] [0 2 0] [0 0 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:54:42 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [1, 0, 0; 0, 1, 0; 0, 0, -1] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [1 0 0] [0 1 0] [0 0 -1] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 1] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:57:04 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] p*x*q Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 0] [0 2 0] [0 0 1] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:57:39 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] v = [0,0,1; 0,1,0; 1,0,0] p*x*q*v Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 1] [0 1 0] [1 0 0] [0 0 0] [0 2 0] [1 0 0] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:58:03 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] v = [0,0,1; 0,1,0; 1,0,0] v*p*x*q*v Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 1] [0 1 0] [1 0 0] [1 0 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 02:58:15 2004 Input: x = [ 4,7,2; 2,4,6; 0,0,0] p = [0, 0, -1; 0, 1, 0; 1, 0, 0] q = [-17, -7, 2; 10, 4, -1; -1, 0, 0] v = [0,0,1; 0,1,0; 1,0,0] v*p q*v Output: [4 7 2] [2 4 6] [0 0 0] [0 0 -1] [0 1 0] [1 0 0] [-17 -7 2] [10 4 -1] [-1 0 0] [0 0 1] [0 1 0] [1 0 0] [1 0 0] [0 1 0] [0 0 -1] [2 -7 -17] [-1 4 10] [0 0 -1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:14:44 2004 Input: P:=PolynomialRing(RationalField()); N:=NumberField(x^2+3); O := MaximalOrder(N); Discriminant(O) Output: Errors (if any) and Timing Info: *** unexpected character: P:=PolynomialRing(Rati ^-------------------- *** unexpected character: N:=NumberField(x^2+3); ^-------------------- *** expected character: '(' instead of: O:=MaximalOrder(N); ^------------------ *** expected character: '(' instead of: Discriminant(O) ^- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:15:10 2004 Input: 4+4 Output: 8 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:15:18 2004 Input: 4+4; Output: Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:21:16 2004 Input: W = quadgen(5) Output: w Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:21:24 2004 Input: w = quadgen(5) Output: w Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:21:32 2004 Input: w = quadgen(5) desc(w) Output: w Errors (if any) and Timing Info: *** expected character: '=' instead of: desc(w) ^ Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:21:44 2004 Input: w = quadgen(5) descriminant(w) Output: w Errors (if any) and Timing Info: *** expected character: '=' instead of: descriminant(w) ^ Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:23:33 2004 Input: w = quadgen(5) nfdisc(w) Output: w Errors (if any) and Timing Info: *** incorrect type in nfbasis00. Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:23:42 2004 Input: w = quadgen(5) disc(w) Output: w Errors (if any) and Timing Info: *** obsolete function: disc(w) ^------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: disc(x) ===> poldisc(x) poldisc(x,{v}): discriminant of the polynomial x, with respect to main variable if v is omitted, with respect to v otherwise. Timing: real 0m0.081s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:27:54 2004 Input: w = quadgen(-3) Output: w Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:28:20 2004 Input: w = quadgen(-3) quadpoly(w) quaddisc(w) Output: w Errors (if any) and Timing Info: *** not an integer argument in an arithmetic function *** not an integer argument in an arithmetic function Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:28:49 2004 Input: w = quadgen(-3) quadpoly(-3) quaddisc(-3) Output: w x^2 - x + 1 -3 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:28:58 2004 Input: w = quadgen(-3) quadpoly(3) quaddisc(3) Output: w 12 Errors (if any) and Timing Info: *** discriminant not congruent to 0 or 1 mod 4 in quadpoly. Timing: real 0m0.073s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:29:49 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) Output: x^2 - x + 1 -3 12 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:32:18 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^3 - 2) Output: x^2 - x + 1 -3 12 [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:33:08 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^2+3) nfinit(x^3 - 2) Output: x^2 - x + 1 -3 12 [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:35:13 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^2+3); nf.zk nfinit(x^3 - 2); Output: x^2 - x + 1 -3 12 Errors (if any) and Timing Info: *** incorrect type in .zk: nf.zk ^-- Timing: real 0m0.063s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:35:38 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^2+3); zk nfinit(x^3 - 2); Output: x^2 - x + 1 -3 12 zk Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:35:47 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^2+3) nfinit(x^3 - 2) Output: x^2 - x + 1 -3 12 [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 03:37:47 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^2-3) nfinit(x^3 - 2) Output: x^2 - x + 1 -3 12 [x^2 - 3, [2, 0], 12, 1, [[1, -1.732050807568877293527446341; 1, 1.732050807568877293527446341], [1, 1; -1.732050807568877293527446341, 1.732050807568877293527446341], [2, 0.E-67; 0.E-67, 6.000000000000000000000000000], [2, 0; 0, 6], [6, 0; 0, 2], [6, 0; 0, 2], [6, [0, 2]~]], [-1.732050807568877293527446341, 1.732050807568877293527446341], [1, x], [1, 0; 0, 1], [1, 0, 0, 3; 0, 1, 1, 0]] [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 03:44:16 2004 Input: x = [ 2, 1, 0; 1,-1,3; 0,0,0] matsnf(x) Output: [2 1 0] [1 -1 3] [0 0 0] [0, 3, 1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam129-19.student.harvard.edu. (140.247.129.19) Time: Thu Feb 19 04:30:21 2004 Input: quadpoly(-3) quaddisc(-3) quaddisc(3) nfinit(x^2+3) nfinit(x^3 - 2) Output: x^2 - x + 1 -3 12 [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ccd-mbras.uab.es. (158.109.70.154) Time: Thu Feb 19 05:45:16 2004 Input: a:=5; Output: Errors (if any) and Timing Info: *** unexpected character: a:=5; ^--- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:22:56 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:36:01 2004 Input: bnf=bnfinit(x^3-2); Output: Errors (if any) and Timing Info: Timing: real 0m0.115s user 0m0.110s sys 0m0.010s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:45:10 2004 Input: nfbasis(x^2-3) Output: [1, x] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.060s sys 0m0.000s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:45:24 2004 Input: nfbasis(x^2+3) Output: [1, 1/2*x + 1/2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:45:44 2004 Input: nfbasis(x^3+2) Output: [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:47:51 2004 Input: nfbasis(x^3+2=0) Output: Errors (if any) and Timing Info: *** unexpected character: nfbasis(x^3+2=0) ^--- Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:47:57 2004 Input: nfbasis(x^3+2) Output: [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:48:05 2004 Input: nfbasis(x^3+9) Output: [1, x, 1/3*x^2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam181-129.student.harvard.edu. (140.247.181.129) Time: Thu Feb 19 06:48:28 2004 Input: nfbasis(x^3+2) Output: [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (62.81.239.122) Time: Thu Feb 19 08:58:21 2004 Input: sdfsdf Output: sdfsdf Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 4n33.math.upenn.edu. (130.91.49.169) Time: Thu Feb 19 11:08:16 2004 Input: MinimalPolynomial(sqrt(2)) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: MinimalPolynomial( *** sqrt(2)) ^-------- Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ws1941401766.fujitsu.es. (194.140.17.66) Time: Thu Feb 19 12:20:21 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ws1941401766.fujitsu.es. (194.140.17.66) Time: Thu Feb 19 12:21:05 2004 Input: PQ := PolynomialRing(RationalField()); N := NumberField(x^2 - 3); P := RingOfIntegers(N); print P; Output: Errors (if any) and Timing Info: *** unexpected character: PQ:=PolynomialRing(Rat ^-------------------- *** unexpected character: N:=NumberField(x^2-3) ^-------------------- *** unexpected character: P:=RingOfIntegers(N); ^------------------- Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:17:24 2004 Input: binomial(2,10) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:17:36 2004 Input: binomial(1,1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:18:51 2004 Input: G = matdiagonal([2,2]); forsubgroup(H=G, 2, print(mathnf(concat(G,H)))) Output: [2, 1; 0, 1] [1, 0; 0, 2] [2, 0; 0, 1] [1, 0; 0, 1] Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:21:16 2004 Input: solve(x = 1, 2, tan(x)) Output: 1.570796326794896619231321692 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:29:47 2004 Input: f(x) = x*x Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:30:02 2004 Input: f(x) = x*x; f(2) Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:33:37 2004 Input: f(x) = x*x; f(2); bezout(8,12); Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:33:49 2004 Input: bezout(8,12) Output: [-1, 1, 4] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:34:28 2004 Input: bezout(8,12); bezout(8,812); bezout(8,2); bezout(8,1); Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:34:53 2004 Input: bezout(8,12); bezout(8,812); bezout(8,1); Output: Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:34:57 2004 Input: bezout(8,12); bezout(8,812); Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:35:09 2004 Input: bezout(8,12); 3 + 5 Output: 8 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:37:46 2004 Input: core(12); Output: Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:37:57 2004 Input: z = core(12) Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:40:56 2004 Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ] Output: [4 2 2] [2 4 2] [2 2 4] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:41:17 2004 Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ]; qfjacobi(A) Output: [[8.000000000000000000000000000, 2.000000000000000000000000000, 2.000000000000000000000000000]~, [0.5773502691896257645091487805, -0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487805, 0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487804, 0.E-28, 0.8164965809277260327324280249]] Errors (if any) and Timing Info: Timing: real 0m0.105s user 0m0.040s sys 0m0.060s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:41:31 2004 Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ]; qfjacobi(A); Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:41:36 2004 Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ]; qfjacobi(A) Output: [[8.000000000000000000000000000, 2.000000000000000000000000000, 2.000000000000000000000000000]~, [0.5773502691896257645091487805, -0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487805, 0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487804, 0.E-28, 0.8164965809277260327324280249]] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:41:44 2004 Input: A = [4 ,2 ,2;2 ,4 ,2;2 ,2 ,4 ] qfjacobi(A) Output: [4 2 2] [2 4 2] [2 2 4] [[8.000000000000000000000000000, 2.000000000000000000000000000, 2.000000000000000000000000000]~, [0.5773502691896257645091487805, -0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487805, 0.7071067811865475244008443621, -0.4082482904638630163662140124; 0.5773502691896257645091487804, 0.E-28, 0.8164965809277260327324280249]] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:43:04 2004 Input: f (x )=x +1 g (x )=x^2 for(n =1 ,5,print(f (n )+g (n )) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...or(n=1,5,print(f(n)+g(n)) ^ Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:43:50 2004 Input: f(x)=x +1 g(x)=x^2 for(n = 1, 5, print(f(n)+ g(n)) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...or(n=1,5,print(f(n)+g(n)) ^ Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:44:07 2004 Input: f(x)= x+1 Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:44:18 2004 Input: f(x)= x+1 g(x)= x^2 Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:44:33 2004 Input: f(x)= x+1 g(x)= x^2 f(1) , g(1) Output: Errors (if any) and Timing Info: *** unused characters: f(1),g(1) ^----- Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:45:01 2004 Input: f(x) = x + 1 g(x) = x^2 f(1) Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:45:09 2004 Input: f(x) = x + 1 g(x) = x^2 f(1) g(2) Output: Errors (if any) and Timing Info: *** unused characters: f(1)g(2) ^---- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:45:15 2004 Input: f(x) = x + 1 g(x) = x^2 f(1) g(2) Output: 2 4 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:45:34 2004 Input: f(x) = x + 1 g(x) = x^2 f(1) for(n = 1, 5, print(f(n)+ g(n)) Output: 2 Errors (if any) and Timing Info: *** expected character: ')' instead of: ...or(n=1,5,print(f(n)+g(n)) ^ Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:45:49 2004 Input: f(x) = x + 1 g(x) = x^2 f(1) for(n = 1, 5, print(f(n)+ g(n))) Output: 2 3 7 13 21 31 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:46:02 2004 Input: f(x) = x + 1 g(x) = x^2 for(n = 1, 5, print(f(n)+ g(n))) Output: 3 7 13 21 31 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.010s sys 0m0.060s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:46:54 2004 Input: f(x) = x + 1 g(x) = x^2 forprime(n = 1, 5, print(f(n)+ g(n))) Output: 7 13 31 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:47:12 2004 Input: f(x) = x + 1 g(x) = x^2 forprime(n = 100, 111, print(f(n)+ g(n))) Output: 10303 10713 11557 11991 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:47:27 2004 Input: f(x) = x + 1 g(x) = x^2 forprime(n = 100, 111, print(f(n)+ g(n), n)) Output: 10303101 10713103 11557107 11991109 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:47:39 2004 Input: f(x) = x + 1 g(x) = x^2 forprime(n = 100, 111, print(f(n)+ g(n)," ", n)) Output: 10303 101 10713 103 11557 107 11991 109 Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9543BA3.dip.t-dialin.net. (217.84.59.163) Time: Thu Feb 19 14:50:41 2004 Input: chinese(Mod(2,3),Mod(3,5)) Output: Mod(8, 15) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 19 16:43:27 2004 Input: x*(x+1)*(0.028x+1) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: x*(x+1)*(0.028x+1) ^---- Timing: real 0m0.058s user 0m0.010s sys 0m0.050s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 19 16:43:47 2004 Input: x*(x+1)*(0.028*x+1) Output: 0.02799999999999999999999999999*x^3 + 1.028000000000000000000000000*x^2 + x Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 19 17:33:57 2004 Input: x*(x+1)*(x^2+2*x+5) Output: x^4 + 3*x^3 + 7*x^2 + 5*x Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Feb 19 21:41:10 2004 Input: factor(398) Output: [2 1] [199 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host grewebdproxy1.net.external.hp.com. (192.6.111.72) Time: Fri Feb 20 04:10:36 2004 Input: GCD(9,3); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: GCD(9,3); ^--------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host sisiphos.math.unifi.it. (150.217.33.46) Time: Fri Feb 20 06:17:35 2004 Input: C := CartanMatrix( "A_5" ); C; Output: Errors (if any) and Timing Info: *** unexpected character: C:=CartanMatrix("A_5") ^-------------------- Timing: real 0m0.067s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sisiphos.math.unifi.it. (150.217.33.46) Time: Fri Feb 20 06:41:28 2004 Input: GL2 := GeneralLinearGroup(2, R) x := GL2 ! [1,0, 0,1]; Output: Errors (if any) and Timing Info: *** unexpected character: GL2:=GeneralLinearGroup( ^-------------------- *** unexpected character: x:=GL2![1,0,0,1]; ^--------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:48:53 2004 Input: { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } print1(smarandache(6)) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ms[i]=findm(f[i,1],f[i,2]));vecma ^-------------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:49:38 2004 Input: { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } for (i=1,100,print1(smarandache(i)",")) Output: 1, Errors (if any) and Timing Info: *** expected character: ',' instead of: ms[i]=findm(f[i,1],f[i,2]));vecma ^-------------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:50:18 2004 Input: { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) for (i=1,100,print1(smarandache(i)","))} Output: Errors (if any) and Timing Info: *** unused characters: ...i,1],f[i,2]));vecmax(ms))for(i=1,100,print1(s ^-------------------- Timing: real 0m0.064s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:50:59 2004 Input: { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) for (i=1,100,print1(smarandache(i)",")) } Output: Errors (if any) and Timing Info: *** unused characters: ...i,1],f[i,2]));vecmax(ms))for(i=1,100,print1(s ^-------------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:51:22 2004 Input: { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:51:49 2004 Input: for (i=1,100,print1(smarandache(i)",")) Output: Errors (if any) and Timing Info: *** expected character: '=' instead of: print1(smarandache(i)",")) ^----- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Fri Feb 20 13:56:10 2004 Input: for(i=1,2000,if(i!%3^333==0,print1(i);break)) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:36:56 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:37:26 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" 2^(1/2) Output: "Replace this by some code, then click [PARI] or [MAGMA]!" 1.414213562373095048801688724 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:38:14 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ Timing: real 0m0.076s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:38:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! ? ?6 Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). bnfcertify bnfclassunit bnfclgp bnfdecodemodule bnfinit bnfisintnorm bnfisnorm bnfisprincipal bnfissunit bnfisunit bnfmake bnfnarrow bnfreg bnfsignunit bnfsunit bnfunit bnrL1 bnrclass bnrclassno bnrclassnolist bnrconductor bnrconductorofchar bnrdisc bnrdisclist bnrinit bnrisconductor bnrisprincipal bnrrootnumber bnrstark dirzetak factornf galoisfixedfield galoisinit galoispermtopol galoissubcyclo idealadd idealaddtoone idealappr idealchinese idealcoprime idealdiv idealfactor idealhnf idealintersect idealinv ideallist ideallistarch ideallog idealmin idealmul idealnorm idealpow idealprimedec idealprincipal idealred idealstar idealtwoelt idealval ideleprincipal matalgtobasis matbasistoalg modreverse newtonpoly nfalgtobasis nfbasis nfbasistoalg nfdetint nfdisc nfeltdiv nfeltdiveuc nfeltdivmodpr nfeltdivrem ---- (type return to continue) ---- nfeltmod nfeltmul nfeltmulmodpr nfeltpow nfeltpowmodpr nfeltreduce nfeltreducemodpr nfeltval nffactor nffactormod nfgaloisapply nfgaloisconj nfhilbert nfhnf nfhnfmod nfinit nfisideal nfisincl nfisisom nfkermodpr nfmodprinit nfnewprec nfroots nfrootsof1 nfsnf nfsolvemodpr nfsubfields polcompositum polgalois polred polredabs polredord poltschirnhaus rnfalgtobasis rnfbasis rnfbasistoalg rnfcharpoly rnfconductor rnfdedekind rnfdet rnfdisc rnfeltabstorel rnfeltdown rnfeltreltoabs rnfeltup rnfequation rnfhnfbasis rnfidealabstorel rnfidealdown rnfidealhnf rnfidealmul rnfidealnormabs rnfidealnormrel rnfidealreltoabs rnfidealtwoelt rnfidealup rnfinit rnfisfree rnfisnorm rnfkummer rnflllgram rnfnormgroup rnfpolred rnfpolredabs rnfpseudobasis rnfsteinitz subgrouplist zetak zetakinit Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ Timing: real 0m0.079s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:39:03 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! ? ?6 6 Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). bnfcertify bnfclassunit bnfclgp bnfdecodemodule bnfinit bnfisintnorm bnfisnorm bnfisprincipal bnfissunit bnfisunit bnfmake bnfnarrow bnfreg bnfsignunit bnfsunit bnfunit bnrL1 bnrclass bnrclassno bnrclassnolist bnrconductor bnrconductorofchar bnrdisc bnrdisclist bnrinit bnrisconductor bnrisprincipal bnrrootnumber bnrstark dirzetak factornf galoisfixedfield galoisinit galoispermtopol galoissubcyclo idealadd idealaddtoone idealappr idealchinese idealcoprime idealdiv idealfactor idealhnf idealintersect idealinv ideallist ideallistarch ideallog idealmin idealmul idealnorm idealpow idealprimedec idealprincipal idealred idealstar idealtwoelt idealval ideleprincipal matalgtobasis matbasistoalg modreverse newtonpoly nfalgtobasis nfbasis nfbasistoalg nfdetint nfdisc nfeltdiv nfeltdiveuc nfeltdivmodpr nfeltdivrem ---- (type return to continue) ---- nfeltmod nfeltmul nfeltmulmodpr nfeltpow nfeltpowmodpr nfeltreduce nfeltreducemodpr nfeltval nffactor nffactormod nfgaloisapply nfgaloisconj nfhilbert nfhnf nfhnfmod nfinit nfisideal nfisincl nfisisom nfkermodpr nfmodprinit nfnewprec nfroots nfrootsof1 nfsnf nfsolvemodpr nfsubfields polcompositum polgalois polred polredabs polredord poltschirnhaus rnfalgtobasis rnfbasis rnfbasistoalg rnfcharpoly rnfconductor rnfdedekind rnfdet rnfdisc rnfeltabstorel rnfeltdown rnfeltreltoabs rnfeltup rnfequation rnfhnfbasis rnfidealabstorel rnfidealdown rnfidealhnf rnfidealmul rnfidealnormabs rnfidealnormrel rnfidealreltoabs rnfidealtwoelt rnfidealup rnfinit rnfisfree rnfisnorm rnfkummer rnflllgram rnfnormgroup rnfpolred rnfpolredabs rnfpseudobasis rnfsteinitz subgrouplist zetak zetakinit Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:39:17 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! ? ?6 6 help 6 Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). bnfcertify bnfclassunit bnfclgp bnfdecodemodule bnfinit bnfisintnorm bnfisnorm bnfisprincipal bnfissunit bnfisunit bnfmake bnfnarrow bnfreg bnfsignunit bnfsunit bnfunit bnrL1 bnrclass bnrclassno bnrclassnolist bnrconductor bnrconductorofchar bnrdisc bnrdisclist bnrinit bnrisconductor bnrisprincipal bnrrootnumber bnrstark dirzetak factornf galoisfixedfield galoisinit galoispermtopol galoissubcyclo idealadd idealaddtoone idealappr idealchinese idealcoprime idealdiv idealfactor idealhnf idealintersect idealinv ideallist ideallistarch ideallog idealmin idealmul idealnorm idealpow idealprimedec idealprincipal idealred idealstar idealtwoelt idealval ideleprincipal matalgtobasis matbasistoalg modreverse newtonpoly nfalgtobasis nfbasis nfbasistoalg nfdetint nfdisc nfeltdiv nfeltdiveuc nfeltdivmodpr nfeltdivrem ---- (type return to continue) ---- nfeltmod nfeltmul nfeltmulmodpr nfeltpow nfeltpowmodpr nfeltreduce nfeltreducemodpr nfeltval nffactor nffactormod nfgaloisapply nfgaloisconj nfhilbert nfhnf nfhnfmod nfinit nfisideal nfisincl nfisisom nfkermodpr nfmodprinit nfnewprec nfroots nfrootsof1 nfsnf nfsolvemodpr nfsubfields polcompositum polgalois polred polredabs polredord poltschirnhaus rnfalgtobasis rnfbasis rnfbasistoalg rnfcharpoly rnfconductor rnfdedekind rnfdet rnfdisc rnfeltabstorel rnfeltdown rnfeltreltoabs rnfeltup rnfequation rnfhnfbasis rnfidealabstorel rnfidealdown rnfidealhnf rnfidealmul rnfidealnormabs rnfidealnormrel rnfidealreltoabs rnfidealtwoelt rnfidealup rnfinit rnfisfree rnfisnorm rnfkummer rnflllgram rnfnormgroup rnfpolred rnfpolredabs rnfpseudobasis rnfsteinitz subgrouplist zetak zetakinit help6 Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:39:36 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! #6 Output: Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ *** unexpected character: #6 ^- Timing: real 0m0.060s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:39:51 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! #6 Output: Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ *** unexpected character: #6 ^- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ma3-419.postech.ac.kr. (141.223.32.146) Time: Sat Feb 21 01:39:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]! ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). Errors (if any) and Timing Info: *** expected character: '"' instead of: ...click [PARI] or [MAGMA]! ^ Timing: real 0m0.054s user 0m0.050s sys 0m0.000s ************** PARI ***************** Host lsanca1-ar47-4-33-128-253.lsanca1.dsl-verizon.net. (4.33.128.253) Time: Sat Feb 21 03:12:07 2004 Input: ;lkn Output: lkn Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host cache-frr-ab01.proxy.aol.com. (195.93.73.6) Time: Sat Feb 21 08:00:35 2004 Input: 4+2 Output: 6 Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (61.0.137.13) Time: Sat Feb 21 13:39:44 2004 Input: TAPAN GHOSH ACCOUNT NO.973692 ACCOUNT TYPE. CONSUMER LOAN ASSET FINANCED. ASSEMBLED PC PRODUCT.MD-MAGMA-DURABLE BOOKING DATE. 28-AUG-2002 Output: TAPANGHOSH Errors (if any) and Timing Info: *** unknown member function: ACCOUNTNO.973692 ^------ *** unknown member function: ACCOUNTTYPE.CONSUMERLOAN ^------------ *** unknown member function: ASSETFINANCED.ASSEMBLEDPC ^----------- *** unknown member function: PRODUCT.MD-MAGMA-DURABLE ^---------------- *** unknown member function: BOOKINGDATE.28-AUG-2002 ^----------- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 134-236-ADSL.red.retevision.es. (80.224.236.134) Time: Sat Feb 21 13:45:02 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host nscvgca1.rs1.nuria.telefonica-data.net. (213.0.242.40) Time: Sat Feb 21 14:44:48 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host nscvgca1.rs1.nuria.telefonica-data.net. (213.0.242.40) Time: Sat Feb 21 14:45:14 2004 Input: abc 1 2 Output: abc12 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-66-176-63-146.se.client2.attbi.com. (66.176.63.146) Time: Sun Feb 22 09:57:18 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.083s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 12:55:04 2004 Input: p:=3; Output: Errors (if any) and Timing Info: *** unexpected character: p:=3; ^--- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 12:57:35 2004 Input: p=3; Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 12:57:43 2004 Input: p=3; print(p); Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 12:59:02 2004 Input: p=19259080382453841122679088710848926436527873; a=89213102615023533314496249400381124216642939896548619296666391544357403574914698073115920663355909193867030042795676972968093; print(p+1 - ellap(ellinit([0,0,0,a,1]),p)); Output: Errors (if any) and Timing Info: *** precision loss in truncation Timing: real 0m0.097s user 0m0.070s sys 0m0.030s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 12:59:41 2004 Input: p=19259080382453841122679088710848926436527873; a=89213102615023533314496249400381124216642939896548619296666391544357403574914698073115920663355909193867030042795676972968093; p=101; a=1913; print(p+1 - ellap(ellinit([0,0,0,a,1]),p)); Output: 112 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host csenh125pc12a.uta.edu. (129.107.55.36) Time: Sun Feb 22 15:35:04 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 18:11:51 2004 Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 p=19259080382453841122679088710848926436527873 Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 19259080382453841122679088710848926436527873 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 18:12:12 2004 Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 p=19259080382453841122679088710848926436527873 p+1-ellap(ellinit([0,0,0,A,B]),p) Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 19259080382453841122679088710848926436527873 Errors (if any) and Timing Info: *** precision loss in truncation Timing: real 0m0.093s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 18:12:48 2004 Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 p=19259080382453841122679088710848926436527873 p 130 p+1-ellap(ellinit([0,0,0,A,B]),p) Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 19259080382453841122679088710848926436527873 p130 Errors (if any) and Timing Info: *** precision loss in truncation Timing: real 0m0.094s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Sun Feb 22 18:12:54 2004 Input: A=36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 B=74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 p=19259080382453841122679088710848926436527873 p 130 p+1-ellap(ellinit([0,0,0,A,B]),p) Output: 36632032394093334314892506639526172018044724470021449656764861197283722188821048107973685056119958987239141823873304006922410 74066726660968974150298536285843541427608829430304666765909320349106941655702916782772097470922361557552830050975797230530073 19259080382453841122679088710848926436527873 p130 Errors (if any) and Timing Info: *** precision loss in truncation Timing: real 0m0.095s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host cache.cc.tut.fi. (130.230.1.90) Time: Mon Feb 23 03:52:22 2004 Input: 2*2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cache.cc.tut.fi. (130.230.1.90) Time: Mon Feb 23 03:52:30 2004 Input: =2*2 Output: Errors (if any) and Timing Info: *** unexpected character: =2*2 ^---- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cache.cc.tut.fi. (130.230.1.90) Time: Mon Feb 23 03:52:35 2004 Input: 2*2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9022C5A.dip.t-dialin.net. (217.2.44.90) Time: Mon Feb 23 04:38:45 2004 Input: K:=GF(2); Pa:=PolynomialRing(K,4); IG:=ideal; A:=[[a,b,0,0,0,0,0,0],[c,d,0,0,0,0,0,0],[0,0,a,b,0,0,0,0],[0,0,c,d,0,0,0,0],[0,0,0,0,a,b,0,0],[0,0,0,0,c,d,0,0],[0,0,0,0,0,0,a,b],[0,0,0,0,c,d]]; P:=PolynomialRing(K,8); f1:=x2*y3+x3*y2; f2:=x1*y3+x3*y1; f3:=x1*y2+x2*y1; I:=ideal; Dimension(I); // Falls Erg. 8-3=5, dann phsop //Ergebnis: 6 Output: Errors (if any) and Timing Info: *** unexpected character: K:=GF(2); ^------- *** unused characters: Pa:=PolynomialR ^-------------------- *** unexpected character: IG:=ideal ^-------------------- *** unknown function or error in formal parameters: Dimension(I); ^--- *** unexpected character: //FallsErg.8-3=5,dan ^-------------------- *** unexpected character: //Ergebnis:6 ^------------ Timing: real 0m0.113s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host webgate.cscploenzke.de. (194.45.150.17) Time: Mon Feb 23 07:12:02 2004 Input: 2^100000 Output: 9990020930143845079440327643300335909804291390541816917715292738631458324642573483274873313324496504031643944455558549300187996607656176562908471354247492875198889629873671093246350427373112479265800278531241088737085605287228390164568691026850675923517914697052857644696801524832345475543250292786520806957770971741102232042976351205330777996897925116619870771785775955521720081320295204617949229259295623920965797873558158667525495797313144806249260261837941305080582686031535134178739622834990886357758062104606636372130587795322344972010808486369541401835851359858035603574021872908155566580607186461268972839794621842267579349638893357247588761959137656762411125020708704870465179396398710109200363934745618090601613377898560296863598558024761448933047052222860131377095958357319485898496404572383875170702242332633436894423297381877733153286944217936125301907868903603663283161502726139934152804071171914923903341874935394455896301292197256417717233543544751552379310892268182402452755752094704642185943862865632744231332084742221551493315002717750064228826211822549349600557457334964678483269180951895955769174509673224417740432840455882109137905375646772139976621785265057169854834562487518322383250318645505472114369934167981678170255122812978065194806295405339154657479941297499190348507544336414505631657396006693382427316434039580121280260984212247514207834712224831410304068603719640161855741656439472253464945249700314509890093162268952744428705476425472253167514521182231455388374308232642200633025137533129365164341725206256155311794738619142904761445654927128418175183531327052975495370561438239573227939673030106077456848477427832195349227983836436163764742969545906672369124136325932123335643135894465219101882123829740907916386023235450959388766736403229577993901152154448003637215069115591111996001530589107729421032230424262035693493216052927569625858445822354594645276923108197305806280326516736449343761732409753342333289730282959173569273013286423311759605230495171677033163709522256952460402143387655197644016528148022348331881097559421960476479388520198541017348985948511005469246617234143135309938405923268953586538886974427008607028635502085562029549352480050796521564919683265106744100967822951954161617717542997520009887307377876210685890770969411610438028623950445323789591870760289260393489826100774887672852918106468489143893649064784591211612193300707900537059042188012856559403699070888032966871611655961232331998310923225082866180321880439447572986762096935819784385927969250123326935194693207724335527365566248223787833888074999276831633440318604463618703789784313032843823470410944306591471928341190975185239212327674384990561563688432939039442002617530976850605132937101449086396141620556053547335569926700941375271829142407234267937565069765567475934101310225342830080409079587329544213551307302050171598424230760469209732907290141606353960880559202357376885647852240092777111489134492416995607171786298436533978180869474106751111353523711540436599310889697485658800887861974934357929246204051767246012250618404011966289872673803070498361217974484679100747846356194664829224736134115135567179291781968056053726484141128347858241259121954601184412409349782963317042002530418661694962318735860652485410222211869544223788289189712080514575141361964805369723164570564998479537657174548128597406077339158775332355215609435919275199351014222246963017013717419337504919295363295101115292951836282819191821651676455946515828048984256116748150367805267878662716999649296949377045794876146628110929982020737013330324451005385378551188803474148198665114579322684900993000236736168555294173442059925371965244997925483159343706343970371809611470323074186985035054722289027174850333368328300281132910841693150457389933183934593292994942796015309756118708918929528449074243284767006243171171622731766606796101967802204564589015899524704741001158110963633731329388356868949408759334176909387806398584647300588928175998844477486130063153068760070084837267527789777356830042778902772105683833021470279728595336332110564064263909724579949686162908019604141753935768876587992428549912151737924270343248648414247456838889541893241450987505759403013249697541696955330296880219304874163501097920036210238768275176369980977614979636096704348140124130683576879904997436596296495705459524735382000363770324894982103331332913562315169854410415317054193928234723398848453552173203688088312100943941434938282203549650281530751087098604681224802973825631244989331965296202372608586509050307993308652001231671915182765742095689513136184095412121473786311042897717861448158316965848766949554826252504961227044714712229620274682362909803877469376987358942125441792355298387479830450253909788733469732603097544156474805473732732767248652759034995336354126953900458854988683574927864615252040800490114785892289085443353996994780867471613519785838571456421583171193004117989440790268346357550339888086725127883577297626499213827436573992927302238792576924232785487201297255386071968303782483063725899808484638503828356258403917311872694381464553651690062530023217591343084755215901475299149215296944362366910833233693767993138209275870024246238331218236715236772098417187703860172308522448043176333602759733161201262248323085329288986154559221427378507410978822244729512663572225567169779409767341543017289268332635077451210167869121334465680739797372711461919299938118178827541421792926883790285430909942441260511945849237909966329550263865701114884142266162969810073652710928504579470861508094054577797864301504899958634164700528220562786008864025709432444254044034243140203812074857537999016066465520986980790589347320243050635907363821521280600041827529325485247927904235727598574209554632363830932428250711518801775633739811523761994686263270550635099851254333875594601540900862014293625673738331693082328854327001487476635118830885173775268819526360165345900556160767713453617655450974424979076063906093300028416964847594027046669468486593636425428625241644836652173922586528474244952363302305311413449332339822336551611431469131900170488226836525916399723912626616140205707996727383529597479125488961419287261259757561701592645823541151922177253919651034344793680369057003813056557866311011476313189571556336518727757991908862890765494952019474922148851417079252352394293801701149485239005844358329748769279941586384640877265901749104933238853465429979253900561311562288241147192158137210120267399648622831610430287268739840335142120299516610846193164688075944526965248570070554452152547493450434852917987512185973647190461515413582582139040172118295702327537027389787793506904044938553587650503557155872873201596885061331145477101575699375441097493374115991199114962726801718038950907803041184400075585468560976965669584325627283327416418044590727844680051360774154288412712456353383625469068936430902068216750459819321744513362913853983154560610459692604508787700304184579153478291725762810632722108035826060904572460619204237580363147200158749075361633785243462298769917887808671453928846572417223504887766803869453474588831907597355292800709241471370696647029530700507083091412492771404776193459007315206233634226128137074504162520473449597415678882003845446774388950379192344594171245510231738995030348421937088083329709108176561010708693158020695060096428352046647333361163476664106311247065173802510599409266908984046663298613648854871230659903565772327667696057187057276814394932559371368029375974604116075641599919402266794230681485723361363592903676841480358328093127506801111571615062761556607158236612268544268330274725849294875852089790850962835235527978491475563744318483993474633300330972497012808415900969455190375849945750379465019166009861502794606130794726898507849610303884846035423392175449505876157130344700415823080225786693300512126831846009510203543174323783292176865976076275412421892808138872880175813109296020150746331979561488146333412674896256883784351178477592660577212734269328382384711746083782209939646612308343952169576581065423771981899573840430315930973215059901371218399762585055435459516340055149080565627330475362528926945020226163130902420795006258931367813005222140742964756194053782182452833097021554210929638693005460011927178302761563505715735405672652524175925436371863471836292012162456662093642074605500842449347289830619506077570528754845277680661218358066130291463288932240701043887535007851997159198390084654596996197138399723495863749806582439384615049184048485819193560667125968018574877819561104335238420873417743385185735663101292757409280586840011804854994149478736882949368786637202682607198707656286436753775709560349718397405565505269425218354301348910785234517795519757516484711545928466003754558485470994737493796615841040414239875763335201795518644856632201598556341934286668912522153446348791218159622744525372314219184738770596659942181275403613660438538829201810204850917717791485256026242529802492309229562177062770027659288158473994804255067730903420043491632913588644627415318468517462580180901314477358637486528221274450661883667873545037139535563260349778209992416559111602097437491432360787879331015052417047437823553506205617017572175387061751192919715660363028302343819584946594328460482931960515124867123604625653903565173322856758210937541222674223847046664733620292824834065137814475367747671882220098389682019784216724015491253360436437847479770633657905418133523010804559958547379685864708937791659340223795537045273849435441105983887969741143051069401271065628507537039823308867819868298171415185218271493613110963984021912448323423901392553811725954153209435002954807640291982765741514042956666953177304003358701503703497424897898108939453026976878231557938158928996868766367603579055322794822757659104812835219745724022347569914650240636730492833286151875049129873457930874999488048681250802904606446223569562767964898914869924201946458521355165709887118378290437174375625282606140534611987395334677500936625746765638459629521872262777473480491233965194281353725068660782076683862565487279038020486778099991 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.410s user 0m0.270s sys 0m0.100s ************** PARI ***************** Host webgate.cscploenzke.de. (194.45.150.17) Time: Mon Feb 23 07:12:29 2004 Input: 2^1000000 Output: Errors (if any) and Timing Info: Timing: real 0m21.152s user 0m20.750s sys 0m0.260s ************** PARI ***************** Host webgate.cscploenzke.de. (194.45.150.17) Time: Mon Feb 23 07:12:51 2004 Input: 2^1000 Output: 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host webgate.cscploenzke.de. (194.45.150.17) Time: Mon Feb 23 07:13:09 2004 Input: Factor(14324523532453462362346234656) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factor(1432452353245 ^-------------------- Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host aula-b-siee108.uab.es. (158.109.66.108) Time: Mon Feb 23 11:52:29 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host aula-b-siee108.uab.es. (158.109.66.108) Time: Mon Feb 23 11:52:42 2004 Input: hola Output: hola Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dmzdeakn.cse.l-3com.com. (166.20.26.131) Time: Mon Feb 23 13:32:01 2004 Input: 2 * 2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dmzdeakn.cse.l-3com.com. (166.20.26.131) Time: Mon Feb 23 13:32:18 2004 Input: 2*2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Feb 23 14:03:49 2004 Input: x:=10; ShowIndentifiers(); ShowValues(); Output: Errors (if any) and Timing Info: *** unexpected character: x:=10; ^---- *** expected character: '=' instead of: ShowIndentifiers(); ^- *** expected character: '=' instead of: ShowValues(); ^- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host weyl.math.pitt.edu. (136.142.126.200) Time: Mon Feb 23 14:25:49 2004 Input: w =quadgen(-23); Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host weyl.math.pitt.edu. (136.142.126.200) Time: Mon Feb 23 14:26:02 2004 Input: w =quadgen(-23); print w^3; Output: Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host weyl.math.pitt.edu. (136.142.126.200) Time: Mon Feb 23 14:26:09 2004 Input: w =quadgen(-23); print w^3; Output: Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host weyl.math.pitt.edu. (136.142.126.200) Time: Mon Feb 23 14:26:16 2004 Input: w =quadgen(-23); w^3; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host weyl.math.pitt.edu. (136.142.126.200) Time: Mon Feb 23 14:26:21 2004 Input: w =quadgen(-23); w^3 Output: -6 - 5*w Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:30:30 2004 Input: (x=y)^(.5) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:31:32 2004 Input: factorint(12333345666790) Output: [2 1] [5 1] [37 1] [33333366667 1] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:34:23 2004 Input: factorint(3494487845306481075093315600749304691200) Output: [2 9] [3 3] [5 2] [1483 1] [6818182935355481481273326872669 1] Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:38:46 2004 Input: factorint(75871693802713797386369191426742800771304395043277326055125100897851220991378671072700656000000000000) Output: [2 16] [3 2] [5 12] [7 1] [223 1] [13177 1] [18289 1] [4932827 1] [283930465256340723243633243128758733270641876563976373149185545775989 1] Errors (if any) and Timing Info: Timing: real 0m0.108s user 0m0.080s sys 0m0.030s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:40:05 2004 Input: j(-210) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: j(-210) ^------- Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host nom5070it.nomadic.ncsu.edu. (152.7.237.59) Time: Mon Feb 23 20:55:40 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:58:08 2004 Input: ?3 Output: Euler I Pi abs acos acosh agm arg asin asinh atan atanh bernfrac bernreal bernvec besseljh besselk cos cosh cotan dilog eint1 erfc eta exp gamma gammah hyperu incgam incgamc lngamma log polylog psi sin sinh sqr sqrt sqrtn tan tanh teichmuller theta thetanullk weber zeta Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:58:39 2004 Input: ?5 Output: elladd ellak ellan ellap ellbil ellchangecurve ellchangepoint elleisnum elleta ellglobalred ellheight ellheightmatrix ellinit ellisoncurve ellj elllocalred elllseries ellorder ellordinate ellpointtoz ellpow ellrootno ellsigma ellsub elltaniyama elltors ellwp ellzeta ellztopoint Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 20:59:39 2004 Input: ellj(-210) Output: Errors (if any) and Timing Info: *** argument must belong to upper half-plane. Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:00:20 2004 Input: ellj((-210)^.5) Output: 3.494487845306481075034201379 E39 + 0.E11*I Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:00:47 2004 Input: ?5 Output: elladd ellak ellan ellap ellbil ellchangecurve ellchangepoint elleisnum elleta ellglobalred ellheight ellheightmatrix ellinit ellisoncurve ellj elllocalred elllseries ellorder ellordinate ellpointtoz ellpow ellrootno ellsigma ellsub elltaniyama elltors ellwp ellzeta ellztopoint Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:01:22 2004 Input: ?4 Output: addprimes bestappr bezout bezoutres bigomega binomial chinese content contfrac contfracpnqn core coredisc dirdiv direuler dirmul divisors eulerphi factor factorback factorcantor factorff factorial factorint factormod ffinit fibonacci gcd hilbert isfundamental isprime ispseudoprime issquare issquarefree kronecker lcm moebius nextprime numdiv omega precprime prime primes qfbclassno qfbcompraw qfbhclassno qfbnucomp qfbnupow qfbpowraw qfbprimeform qfbred quadclassunit quaddisc quadgen quadhilbert quadpoly quadray quadregulator quadunit removeprimes sigma sqrtint znlog znorder znprimroot znstar Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:02:30 2004 Input: ?2 Output: List Mat Mod Pol Polrev Qfb Ser Set Str Vec binary bitand bitneg bitnegimply bitor bittest bitxor ceil centerlift changevar component conj conjvec denominator floor frac imag length lift norm norml2 numerator numtoperm padicprec permtonum precision random real round simplify sizebyte sizedigit truncate valuation variable Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:03:08 2004 Input: ?6 Output: Errors (if any) and Timing Info: Timing: real 0m21.111s user 0m13.730s sys 0m7.280s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:03:34 2004 Input: ?6 Output: Errors (if any) and Timing Info: Timing: real 0m21.049s user 0m13.810s sys 0m7.190s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:03:54 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:04:13 2004 Input: ?7 Output: O deriv eval factorpadic intformal padicappr polcoeff polcyclo poldegree poldisc poldiscreduced polhensellift polinterpolate polisirreducible pollead pollegendre polrecip polresultant polroots polrootsmod polrootspadic polsturm polsubcyclo polsylvestermatrix polsym poltchebi polzagier serconvol serlaplace serreverse subst taylor thue thueinit Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:05:57 2004 Input: serreverse(cos(x)^-1) Output: Errors (if any) and Timing Info: *** valuation not equal to 1 in serreverse. Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:06:42 2004 Input: serreverse(1+x+x^2/2) Output: Errors (if any) and Timing Info: *** not a series in serreverse. Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:06:57 2004 Input: serreverse(1+x) Output: Errors (if any) and Timing Info: *** not a series in serreverse. Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:07:01 2004 Input: serreverse(1+x) Output: Errors (if any) and Timing Info: *** not a series in serreverse. Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:07:42 2004 Input: solve(x=1+y) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: solve(x=1+y) ^- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:08:41 2004 Input: solve(x=1,2,tan(x)) Output: 1.570796326794896619231321692 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cernunnos.mpi.univie.ac.at. (131.130.30.207) Time: Mon Feb 23 21:08:43 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ip251-10.ct.co.cr. (196.40.10.251) Time: Mon Feb 23 21:09:18 2004 Input: solve(x=ax+b) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: solve(x=ax+b) ^- Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host aula-etse011.uab.es. (158.109.66.133) Time: Tue Feb 24 04:29:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.095s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (195.219.172.9) Time: Tue Feb 24 06:45:06 2004 Input: R := FiniteField(2) D := LinearCode Output: Errors (if any) and Timing Info: *** unexpected character: R:=FiniteField(2) ^--------------- *** unexpected character: D:=LinearCode log(x) log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0: default, or 1: calls logagm, computed using the agm. Timing: real 0m0.098s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:11:52 2004 Input: log(1+z) Output: z - 1/2*z^2 + 1/3*z^3 - 1/4*z^4 + 1/5*z^5 - 1/6*z^6 + 1/7*z^7 - 1/8*z^8 + 1/9*z^9 - 1/10*z^10 + 1/11*z^11 - 1/12*z^12 + 1/13*z^13 - 1/14*z^14 + 1/15*z^15 + O(z^16) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:13:03 2004 Input: log(1-(i+1)/a) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:13:28 2004 Input: log(1-(i+1)/2) Output: -0.6931471805599453094172321214 - i - 1/2*i^2 - 1/3*i^3 - 1/4*i^4 - 1/5*i^5 - 1/6*i^6 - 1/7*i^7 - 1/8*i^8 - 1/9*i^9 - 1/10*i^10 - 1/11*i^11 - 1/12*i^12 - 1/13*i^13 - 1/14*i^14 - 1/15*i^15 + O(i^16) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:15:18 2004 Input: i*i Output: i^2 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:16:16 2004 Input: h=(1+i)^2 Output: i^2 + 2*i + 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:18:58 2004 Input: log(1-(sqrt(-1)+1)/2) Output: -0.3465735902799726547086160607 - 0.7853981633974483096156608458*I Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Tue Feb 24 07:20:10 2004 Input: log(1-(sqrt(-1)+1)/a) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host irmasrv3.u-strasbg.fr. (130.79.4.200) Time: Tue Feb 24 09:45:13 2004 Input: Factorization(255); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factorization(255); ^------------------- Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:17:03 2004 Input: three(n)=(3^n-1)/2 for (n=1,8,print1(three(n)",")) Output: 1,4,13,40,121,364,1093,3280, Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:18:24 2004 Input: for(i=1,2000,if(i!%3^333==0,print1(i);break)) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:20:34 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } Output: Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:20:54 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:21:22 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } for (i=1,100,print1(smarandache(i)",")) Output: 1,2,3,4,5,3,7,4,6,5,11,4,13,7,5,6,17,6,19,5,7,11,23,4,10,13,9,7,29,5,31,8,11,17,7,6,37,19,13,5,41,7,43,11,6,23,47,6,14,10,17,13,53,9,11,7,19,29,59,5,61,31,7,8,13,11,67,17,23,7,71,6,73,37,10,19,11,13,79,6,9,41,83,7,17,43,29,11,89,6,13,23,31,47,19,8,97,14,11,10, Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:22:32 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } for (i=1,2,print1(smarandache(i)",")) Output: 1,2, Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:22:53 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } for (i=1,2,print1(smarandache(3^1000)",")) Output: 2007,2007, Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:25:41 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } print1(smarandache(3^1000)",") Output: 2007, Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:26:02 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } print1(smarandache(2^64)",") Output: 66, Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:27:27 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } print1(smarandache(3^1000)",") Output: 2007, Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 12:27:59 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } print1(smarandache(5^100000)",") Output: 400005, Errors (if any) and Timing Info: Timing: real 0m17.737s user 0m17.520s sys 0m0.150s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 13:36:27 2004 Input: { findm(x,y)=local(m,n,x1); m=0;n=1;x1=x-1; while (((x^n-1)/x1)<=y,n++);n--; while (y>0, while (((x^n-1)/x1)<=y,y-=((x^n-1)/x1);m+=(x^(n-1)));n--); x*m } { smarandache(n)=local(f,fl,ms); if (n==1,1, f=factor(n);fl=length(f[,1]); ms=vector(fl,i,0); for (i=1,fl,ms[i]=findm(f[i,1],f[i,2])); vecmax(ms)) } print1(smarandache(5^1092)",") Output: 4375, Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 13:46:41 2004 Input: For(i=1,2000,if(i!%3^333==0,print1(i);break)) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host user-0ccetbi.cable.mindspring.com. (24.199.117.114) Time: Tue Feb 24 16:57:36 2004 Input: for(i=1,2000,if(i!%3^333==0,print1(i);break)) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host wiggum.math.muni.cz. (147.251.80.54) Time: Wed Feb 25 04:08:34 2004 Input: kronecker(12345,567) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host wiggum.math.muni.cz. (147.251.80.54) Time: Wed Feb 25 04:08:47 2004 Input: kronecker(2,7) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host aula-etse011.uab.es. (158.109.66.133) Time: Wed Feb 25 05:29:38 2004 Input: Floor(3.141592); GCD(12,8); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Floor(3.141592); ^---------------- *** unknown function or error in formal parameters: GCD(12,8); ^---------- Timing: real 0m0.150s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Wed Feb 25 06:07:36 2004 Input: sigma(1,12,5) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: sigma(1,12,5) ^--- Timing: real 0m0.294s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host dsl-58.16.240.220.rns02-kent-syd.dsl.comindico.com.au. (220.240.16.58) Time: Wed Feb 25 08:46:27 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.065s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (61.11.88.232) Time: Thu Feb 26 06:24:14 2004 Input: Mod(23432,353) Output: Mod(134, 353) Errors (if any) and Timing Info: Timing: real 0m20.287s user 0m0.060s sys 0m0.100s ************** PARI ***************** Host 2(SERVFAIL) (61.11.88.232) Time: Thu Feb 26 06:24:34 2004 Input: m=Mod(23432,353) Output: Mod(134, 353) Errors (if any) and Timing Info: Timing: real 0m0.121s user 0m0.030s sys 0m0.070s ************** PARI ***************** Host cache-frr-ab01.proxy.aol.com. (195.93.73.6) Time: Thu Feb 26 06:30:16 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.065s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host cache-frr-ab01.proxy.aol.com. (195.93.73.6) Time: Thu Feb 26 06:31:04 2004 Input: 1+1; Output: Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cache-frr-ab01.proxy.aol.com. (195.93.73.6) Time: Thu Feb 26 06:31:18 2004 Input: 1+1; Output: Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host mars-fw.arces.unibo.it. (137.204.143.2) Time: Thu Feb 26 08:32:36 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m5.968s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host firecache.univ-evry.fr. (194.199.90.9) Time: Thu Feb 26 08:54:34 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.934s user 0m0.050s sys 0m0.070s ************** PARI ***************** Host 3(NXDOMAIN) (217.196.166.253) Time: Thu Feb 26 15:49:32 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.231s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (217.196.166.253) Time: Thu Feb 26 15:49:33 2004 Input: 32434 Output: 32434 Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (217.196.166.253) Time: Thu Feb 26 15:49:34 2004 Input: 32434 Output: 32434 Errors (if any) and Timing Info: Timing: real 0m0.069s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (217.196.166.253) Time: Thu Feb 26 15:49:37 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.080s user 0m0.030s sys 0m0.050s ************** PARI ***************** Host 3(NXDOMAIN) (200.195.19.144) Time: Thu Feb 26 23:09:06 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m1.263s user 0m0.070s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (200.195.19.144) Time: Thu Feb 26 23:10:48 2004 Input: a b 10 b c 20 a c 30 b d 40 Output: ab10 bc20 ac30 bd40 Errors (if any) and Timing Info: Timing: real 0m0.065s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host aula-etse011.uab.es. (158.109.66.133) Time: Fri Feb 27 04:48:44 2004 Input: t := { nˆ2 : n in [-11..11 by 2] | IsPrime(n) }; Output: Errors (if any) and Timing Info: *** unexpected character: t:={nˆ2:nin[-11..11by2 ^-------------------- Timing: real 0m0.506s user 0m0.040s sys 0m0.060s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Fri Feb 27 06:39:32 2004 Input: (1/k)*(1/sqrt(2)/a)^k*sin(k*pi/4) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m35.674s user 0m0.050s sys 0m0.080s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Fri Feb 27 06:40:08 2004 Input: (1/2)*(1/sqrt(2))^2*sin(2*pi/4) Output: 0.1249999999999999999999999999*pi - 0.005208333333333333333333333333*pi^3 + 0.00006510416666666666666666666666*pi^5 - 0.0000003875248015873015873015873015*pi^7 + 0.000000001345572227733686067019400352*pi^9 - 3.058118699394741061407728074 E-12*pi^11 + 4.900831249030033752255974477 E-15*pi^13 - 5.834322915511944943161874378 E-18*pi^15 + O(pi^16) Errors (if any) and Timing Info: Timing: real 0m0.916s user 0m0.070s sys 0m0.040s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Fri Feb 27 06:41:08 2004 Input: (1/2)*(1/sqrt(2))^2*sin(2*4*arctan1)/4) Output: Errors (if any) and Timing Info: *** unused characters: ...(2))^2*sin(2*4*arctan1)/4) ^- Timing: real 0m0.075s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Fri Feb 27 06:41:17 2004 Input: (1/2)*(1/sqrt(2))^2*sin(2*4*arctan(1)/4) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: *** ...2)*(1/sqrt(2))^2*sin(2*4*arctan(1)/4) ^------------ Timing: real 0m0.067s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Fri Feb 27 06:41:32 2004 Input: (1/2)*(1/sqrt(2))^2*sin(2*4*atan(1)/4) Output: 0.2499999999999999999999999999 Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gate.mef-rd.com. (212.234.57.71) Time: Fri Feb 27 06:42:19 2004 Input: (1/3)*(1/sqrt(2))^3*sin(3*4*atan(1)/4) Output: 0.08333333333333333333333333332 Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host MathD19.Math.McGill.CA. (132.206.150.219) Time: Fri Feb 27 09:23:18 2004 Input: C:=ComplexField(); E:=EllipticCurve([-4,-8]); w1:=Periods(E)[1]; w2:=Periods(E)[2]; 60*Eisenstein(4,[1.003847,1.09797*i])*2*ZetaFunction(4); 60*Eisenstein(4,[w1,2*w2])*2*ZetaFunction(4); 60*Eisenstein(4,[w1,w2/2])*2*ZetaFunction(4); 60*Eisenstein(4,[w1,w2])*2*ZetaFunction(4); 140*Eisenstein(6,[w1,2*w2])*2*ZetaFunction(6); 140*Eisenstein(6,[w1,w2/2])*2*ZetaFunction(6); 140*Eisenstein(6,[w1,w2])*2*ZetaFunction(6); Output: Errors (if any) and Timing Info: *** unexpected character: C:=ComplexField(); ^----------------- *** unexpected character: E:=EllipticCurve([-4,- ^-------------------- *** unexpected character: w1:=Periods(E)[1]; ^--------------- *** unexpected character: w2:=Periods(E)[2]; ^--------------- *** unknown function or error in formal parameters: 60*Eisenstein(4,[1.0038 ^-------------------- *** unknown function or error in formal parameters: 60*Eisenstein(4,[w1,2*w ^-------------------- *** unknown function or error in formal parameters: 60*Eisenstein(4,[w1,w2/ ^-------------------- *** unknown function or error in formal parameters: 60*Eisenstein(4,[w1,w2] ^-------------------- *** unknown function or error in formal parameters: 140* *** Eisenstein(6,[w1,2*w ^-------------------- *** unknown function or error in formal parameters: 140* *** Eisenstein(6,[w1,w2/ ^-------------------- *** unknown function or error in formal parameters: 140* *** Eisenstein(6,[w1,w2] ^-------------------- Timing: real 0m0.102s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (220.73.165.141) Time: Fri Feb 27 11:54:30 2004 Input: eval(Strtex(pwd)) Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed. ************** PARI ***************** Host a-mi21-51.tin.it. (212.216.4.114) Time: Fri Feb 27 15:55:44 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host a-mi21-51.tin.it. (212.216.4.114) Time: Fri Feb 27 15:56:11 2004 Input: 2^11-1 Output: 2047 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host a-mi21-51.tin.it. (212.216.4.114) Time: Fri Feb 27 15:56:18 2004 Input: 2^11-1 Output: 2047 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host a-mi21-51.tin.it. (212.216.4.114) Time: Fri Feb 27 15:56:43 2004 Input: Factor(2^11-1) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factor(2^11-1) ^-------------- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-4-204-97.client.comcast.net. (24.4.204.97) Time: Sat Feb 28 04:50:18 2004 Input: 1 Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.103s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host dialup-207-218-203-228.ev1.net. (207.218.203.228) Time: Sat Feb 28 21:42:38 2004 Input: plot(x=2,3,cos(x)*gamma(x)*abs(sin(x))); Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host i70pc09.tm.uni-karlsruhe.de. (141.3.66.83) Time: Mon Mar 1 05:09:35 2004 Input: x^2+y^3 Output: x^2 + y^3 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host i70pc09.tm.uni-karlsruhe.de. (141.3.66.83) Time: Mon Mar 1 05:12:52 2004 Input: x^2+(y+x)^3 Output: x^3 + (3*y + 1)*x^2 + 3*y^2*x + y^3 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 134-236-ADSL.red.retevision.es. (80.224.236.134) Time: Mon Mar 1 08:15:31 2004 Input: magma Output: magma Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host 134-236-ADSL.red.retevision.es. (80.224.236.134) Time: Mon Mar 1 08:15:47 2004 Input: magma; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 134-236-ADSL.red.retevision.es. (80.224.236.134) Time: Mon Mar 1 08:17:07 2004 Input: Floor(3.444); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Floor(3.444); ^------------- Timing: real 0m0.054s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host CPE00045adb3164-CM014260032861.cpe.net.cable.rogers.com. (24.156.184.119) Time: Mon Mar 1 16:18:05 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Tue Mar 2 01:57:18 2004 Input: A:=GeneralLinearGroup(4, FiniteField(2)); A Output: A Errors (if any) and Timing Info: *** unexpected character: A:=GeneralLinearGroup( ^-------------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Tue Mar 2 01:57:32 2004 Input: A:=GeneralLinearGroup(4, FiniteField(2)); print A; Output: Errors (if any) and Timing Info: *** unexpected character: A:=GeneralLinearGroup( ^-------------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat1.na.baesystems.com. (208.19.133.131) Time: Tue Mar 2 13:44:03 2004 Input: (2+2/3)-2 Output: 2/3 Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host nat1.na.baesystems.com. (208.19.133.131) Time: Tue Mar 2 13:44:43 2004 Input: (2+77788887777788888887788/3)-2 Output: 25929629259262962962596 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip68-99-143-58.ph.ph.cox.net. (68.99.143.58) Time: Tue Mar 2 14:38:22 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 101-223-ADSL.red.retevision.es. (80.224.223.101) Time: Tue Mar 2 15:02:23 2004 Input: r:=[-11..11 by 2]; r; 3+2; Output: Errors (if any) and Timing Info: *** unexpected character: r:=[-11..11by2]; ^-------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 80.58.50.44.proxycache.rima-tde.net. (80.58.50.44) Time: Tue Mar 2 15:44:55 2004 Input: K:=GF(4); M:=MatrixRing(K,2); {Random(M):n in [1..10]} Output: Errors (if any) and Timing Info: *** unexpected character: K:=GF(4); ^------- *** unexpected character: M:=MatrixRing(K,2); ^----------------- *** expected character: '=' instead of: Random(M):nin[1..10] ^----------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam183-108.student.harvard.edu. (140.247.183.108) Time: Tue Mar 2 19:11:41 2004 Input: F := PolynomialRing(RationalField()); N := NumberField(x^4 + 7*x^3 + x^2 + 2*x + 1); O := MaximalOrder(N); I := 2 * O; Factorization(I); I := 3 * O; Factorization(I); Output: Errors (if any) and Timing Info: *** unexpected character: F:=PolynomialRing(Rat ^-------------------- *** unexpected character: N:=NumberField(x^4+7* ^-------------------- *** expected character: '(' instead of: O:=MaximalOrder(N); ^------------------ *** unexpected character: I:=2*O; ^----- *** unknown function or error in formal parameters: Factorization(I); ^--- *** unexpected character: I:=3*O; ^----- *** unknown function or error in formal parameters: Factorization(I); ^--- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp11-190.harvard.edu. (128.103.11.190) Time: Tue Mar 2 20:33:27 2004 Input: 2-3 Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host babbage.bham.ac.uk. (147.188.56.114) Time: Tue Mar 2 21:04:36 2004 Input: 2^10; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host adsl-67-65-250-154.dsl.okcyok.swbell.net. (67.65.250.154) Time: Tue Mar 2 21:56:17 2004 Input: Mod((448842263^1973583573927159327592375937593759173513759375397539573958739583958395839531753751973597356837583918738519357),77038717908638071813880096581303102604552018462668921038977313239022513085916778273471467501239472111546684987) Output: Errors (if any) and Timing Info: Timing: real 0m21.254s user 0m20.950s sys 0m0.050s ************** PARI ***************** Host adsl-67-65-250-154.dsl.okcyok.swbell.net. (67.65.250.154) Time: Tue Mar 2 21:59:59 2004 Input: Mod(448842263^1973583573927159327592375937593759173513759375397539573958739583958395839531753751973597356837583918738519357,77038717908638071813880096581303102604552018462668921038977313239022513085916778273471467501239472111546684987) Output: Errors (if any) and Timing Info: Timing: real 0m21.061s user 0m20.970s sys 0m0.030s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:30:59 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 2) Output: [1/4, -7/8] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:31:49 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 4) Output: [2209/784, 121871/21952] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:34:09 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 10) Output: [5830841453459885475649/5823307160093702500, 445243408490396790389727064799143/14052530852136240464297375000] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:34:22 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 6) Output: [51825601/16208676, -424317173273/65256129576] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:35:21 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 5) Output: [169/225625, -5080322/107171875] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:41:10 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 6) Output: [51825601/16208676, -424317173273/65256129576] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:41:47 2004 Input: e=ellinit([0,0,0,3,0]); P=[1,2]; ellpow(e, P, 10) Output: [5830841453459885475649/5823307160093702500, 445243408490396790389727064799143/14052530852136240464297375000] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:47:58 2004 Input: e=ellinit([0,0,0,0,-48]); P=[1,0]; ellpow(e, P, 3) Output: [1, 0] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h24-81-108-53.vc.shawcable.net. (24.81.108.53) Time: Wed Mar 3 02:48:31 2004 Input: e=ellinit([0,0,0,0,-48]); P=[1,0]; ellpow(e, P, 5) Output: [1, 0] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host jcarlos.uab.es. (158.109.9.25) Time: Wed Mar 3 04:20:00 2004 Input: P:=PolynomialRing(3); Output: Errors (if any) and Timing Info: *** unexpected character: P:=PolynomialRing(3); ^-------------------- Timing: real 0m0.109s user 0m0.030s sys 0m0.010s ************** PARI ***************** Host aula-b-siee108.uab.es. (158.109.66.108) Time: Wed Mar 3 07:21:33 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host aula-b-siee108.uab.es. (158.109.66.108) Time: Wed Mar 3 07:21:35 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.078s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host aula-b-siee108.uab.es. (158.109.66.108) Time: Wed Mar 3 07:23:11 2004 Input: any:=360; any Output: any Errors (if any) and Timing Info: *** unexpected character: any:=360; ^----- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host aula-b-siee108.uab.es. (158.109.66.108) Time: Wed Mar 3 07:23:35 2004 Input: any:=360; print any; Output: Errors (if any) and Timing Info: *** unexpected character: any:=360; ^----- Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 07:43:09 2004 Input: (X^2 - a*X - (a+2))^2 - a*(X^2 - a*X - (a+2)) - (a+2) Output: X^4 - 2*a*X^3 + (a^2 - 3*a - 4)*X^2 + (3*a^2 + 4*a)*X + (2*a^2 + 5*a + 2) Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 07:44:18 2004 Input: (X^2 - a*X - (a+2))^2 - a*(X^2 - a*X - (a+2)) - (a+2) - X^4 + a*X^3 + (a+3)*X^2 + X Output: -a*X^3 + (a^2 - 2*a - 1)*X^2 + (3*a^2 + 4*a + 1)*X + (2*a^2 + 5*a + 2) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 07:46:31 2004 Input: (a^2 - 2*a - 1)*X^2 + (3*a^2 + 4*a + 1)*X + (2*a^2 + 5*a + 2) - (a^2*X^2 + (a^2+3*a)*X + a Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...2)-(a^2*X^2+(a^2+3*a)*X+a ^ Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 07:46:36 2004 Input: (a^2 - 2*a - 1)*X^2 + (3*a^2 + 4*a + 1)*X + (2*a^2 + 5*a + 2) - (a^2*X^2 + (a^2+3*a)*X + a) Output: (2*X + 2)*a^2 + (-2*X^2 + X + 4)*a + (-X^2 + X + 2) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 07:56:57 2004 Input: t=Mod(x,x^3-a*x^2-(a+3)*x-1):t^3 Output: Mod(a*x^2 + (a + 3)*x + 1, x^3 - a*x^2 + (-a - 3)*x - 1) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 07:57:51 2004 Input: t=Mod(x,x^3-a*x^2-(a+3)*x-1):u=t^2-a*t-(a+2):u^2-a*u-(a+2) Output: Mod((-2*a - 1)*x^2 + (2*a^2 + a + 1)*x + (2*a^2 + 4*a + 2), x^3 - a*x^2 + (-a - 3)*x - 1) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:06:32 2004 Input: -(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2 Output: (-2*X^2 - 6*X - 4)*a^3 + (4*X^3 + 5*X^2 - 11*X - 12)*a^2 + (-2*X^4 + 2*X^3 + 11*X^2 - 5*X - 11)*a + (-X^4 + 5*X^2 - 4) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:07:21 2004 Input: a=b:-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2 Output: (-2*X^2 - 6*X - 4)*b^3 + (4*X^3 + 5*X^2 - 11*X - 12)*b^2 + (-2*X^4 + 2*X^3 + 11*X^2 - 5*X - 11)*b + (-X^4 + 5*X^2 - 4) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:07:33 2004 Input: x=X:-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2 Output: (-2*a - 1)*X^4 + (4*a^2 + 2*a)*X^3 + (-2*a^3 + 5*a^2 + 11*a + 5)*X^2 + (-6*a^3 - 11*a^2 - 5*a)*X + (-4*a^3 - 12*a^2 - 11*a - 4) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:09:16 2004 Input: x=Mod(t,t^3-a*t^2-(a+3)*t-1):-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2 Output: (-2*X^2 - 6*X - 4)*a^3 + (4*X^3 + 5*X^2 - 11*X - 12)*a^2 + (-2*X^4 + 2*X^3 + 11*X^2 - 5*X - 11)*a + (-X^4 + 5*X^2 - 4) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:09:30 2004 Input: X=Mod(t,t^3-a*t^2-(a+3)*t-1):-(2*a+1)*(X^2-a*X-(a+2))^2 + (2*a^2+a+1)*(X^2-a*X-(a+2)) + 2*a^2+4*a+2 Output: Mod((4*a^2 + 4*a + 2)*t^2 + (-4*a^3 - 4*a^2 - 4*a - 1)*t + (-4*a^3 - 10*a^2 - 10*a - 4), t^3 - a*t^2 + (-a - 3)*t - 1) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:10:49 2004 Input: polgalois(x^3-7*x^2-10*x-1) Output: [3, 1, 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host fen116.fen.bilkent.edu.tr. (139.179.96.193) Time: Wed Mar 3 08:11:22 2004 Input: ?6 Output: Errors (if any) and Timing Info: Timing: real 0m21.022s user 0m13.850s sys 0m7.150s ************** PARI ***************** Host ip503de19b.speed.planet.nl. (80.61.225.155) Time: Wed Mar 3 08:19:19 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host aula-a-siee19.uab.es. (158.109.66.19) Time: Wed Mar 3 08:58:40 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host iml151.univ-mrs.fr. (139.124.6.151) Time: Wed Mar 3 08:59:05 2004 Input: roots(X^2-2) Output: Errors (if any) and Timing Info: *** obsolete function: roots(X^2-2) ^------------ For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: roots(x) ===> polroots(x) polroots(x,{flag=0}): complex roots of the polynomial x. flag is optional, and can be 0: default, uses Schonhage's method modified by Gourdon, or 1: uses a modified Newton method. Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host iml151.univ-mrs.fr. (139.124.6.151) Time: Wed Mar 3 08:59:20 2004 Input: polroots(X^2-2) Output: [-1.414213562373095048801688724 + 0.E-28*I, 1.414213562373095048801688724 + 0.E-28*I]~ Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host iml151.univ-mrs.fr. (139.124.6.151) Time: Wed Mar 3 09:00:19 2004 Input: polroots(X^2-2,X) Output: Errors (if any) and Timing Info: *** this should be an integer: polroots(X^2-2,X) ^-- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host iml151.univ-mrs.fr. (139.124.6.151) Time: Wed Mar 3 09:00:29 2004 Input: polroots(X^2-2) Output: [-1.414213562373095048801688724 + 0.E-28*I, 1.414213562373095048801688724 + 0.E-28*I]~ Errors (if any) and Timing Info: Timing: real 0m0.081s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host aula-b-siee94.uab.es. (158.109.66.94) Time: Wed Mar 3 09:43:52 2004 Input: bolean := 1; Output: Errors (if any) and Timing Info: *** unexpected character: bolean:=1; ^--- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host aula-b-siee94.uab.es. (158.109.66.94) Time: Wed Mar 3 09:44:01 2004 Input: bolean := 1; Output: Errors (if any) and Timing Info: *** unexpected character: bolean:=1; ^--- Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host azizu.uab.es. (158.109.12.158) Time: Wed Mar 3 10:15:52 2004 Input: K:=GF(4); M22 := KMatrixSpace(K, 2, 2); Output: Errors (if any) and Timing Info: *** unexpected character: K:=GF(4); ^------- *** unexpected character: M22:=KMatrixSpace(K,2,2) ^-------------------- Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Wed Mar 3 21:23:24 2004 Input: 7000/389 Output: 7000/389 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Wed Mar 3 21:23:28 2004 Input: 7000/389.0 Output: 17.99485861182519280205655526 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Wed Mar 3 21:25:39 2004 Input: 389*19 Output: 7391 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 211-23-169-228.HINET-IP.hinet.net. (211.23.169.228) Time: Thu Mar 4 09:03:54 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 211-23-169-228.HINET-IP.hinet.net. (211.23.169.228) Time: Thu Mar 4 09:04:42 2004 Input: factor(10^1000-1) Output: Errors (if any) and Timing Info: Timing: real 0m21.100s user 0m20.800s sys 0m0.200s ************** PARI ***************** Host hulk.upc.es. (147.83.133.71) Time: Thu Mar 4 09:04:54 2004 Input: Pi Output: 3.141592653589793238462643383 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 211-23-169-228.HINET-IP.hinet.net. (211.23.169.228) Time: Thu Mar 4 09:04:57 2004 Input: factor(10^10-1) Output: [3 2] [11 1] [41 1] [271 1] [9091 1] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (196.1.94.254) Time: Thu Mar 4 11:15:56 2004 Input: ?GCD Output: Errors (if any) and Timing Info: *** GCD: unknown identifier. Timing: real 0m0.066s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (196.1.94.254) Time: Thu Mar 4 11:16:05 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Further help (list of relevant functions): ?n (1<=n<=11). Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial (same with the GP tutorial) ?? refcard (same with the GP reference card) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions). Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (196.1.94.254) Time: Thu Mar 4 11:16:22 2004 Input: ?0 Output: x Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (196.1.94.254) Time: Thu Mar 4 11:16:35 2004 Input: ?1 Output: divrem lex max min shift shiftmul sign vecmax vecmin Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:00:00 2004 Input: (x+y+z)^2 Output: x^2 + (2*y + 2*z)*x + (y^2 + 2*z*y + z^2) Errors (if any) and Timing Info: Timing: real 0m0.079s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:00:31 2004 Input: sum(x^2,x,0,n-1) Output: Errors (if any) and Timing Info: *** expected character: '=' instead of: sum(x^2,x,0,n-1) ^----------- Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:00:50 2004 Input: Sum[x^2,x,0,n-1] Output: Errors (if any) and Timing Info: *** expected character: ']' instead of: Sum[x^2,x,0,n-1] ^------- Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:02:54 2004 Input: sumalt(x=0,x^2,n-1) Output: Errors (if any) and Timing Info: *** this should be an integer: sumalt(x=0,x^2,n-1) ^---- Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:03:02 2004 Input: sumalt(x=0,x^2) Output: 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:03:17 2004 Input: sumalt(x=0,x^2) Output: 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:03:18 2004 Input: sumalt(x=0,x^2) Output: 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:03:20 2004 Input: sumalt(x=0,x^2) Output: 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:04:03 2004 Input: p 1 sumalt(x=0,x^2) Output: p1 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:04:08 2004 Input: p 1 sumalt(x=0,x^2) Output: p1 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:04:12 2004 Input: p 1 sumalt(x=0,x^2) Output: p1 7912.896731401937164215524753 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:05:26 2004 Input: sum(x=0,x^2,1,5) Output: Errors (if any) and Timing Info: *** incorrect type in comparison. Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (66.144.41.233) Time: Thu Mar 4 15:05:37 2004 Input: sum(x=0,x^2,1,5) Output: Errors (if any) and Timing Info: *** incorrect type in comparison. Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cache2.uwn.unsw.EDU.AU. (129.94.6.29) Time: Thu Mar 4 19:09:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (63.139.104.190) Time: Thu Mar 4 23:44:47 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host hades.ex.ac.uk. (144.173.6.80) Time: Fri Mar 5 05:05:43 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host gounod-1-82-66-202-129.fbx.proxad.net. (82.66.202.129) Time: Fri Mar 5 10:45:51 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.117s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65) Time: Fri Mar 5 19:17:39 2004 Input: (a + b)^2 Output: a^2 + 2*b*a + b^2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65) Time: Fri Mar 5 19:17:56 2004 Input: (a + b + c)^2 Output: a^2 + (2*b + 2*c)*a + (b^2 + 2*c*b + c^2) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65) Time: Fri Mar 5 19:18:11 2004 Input: (a + b + c)^10 Output: a^10 + (10*b + 10*c)*a^9 + (45*b^2 + 90*c*b + 45*c^2)*a^8 + (120*b^3 + 360*c*b^2 + 360*c^2*b + 120*c^3)*a^7 + (210*b^4 + 840*c*b^3 + 1260*c^2*b^2 + 840*c^3*b + 210*c^4)*a^6 + (252*b^5 + 1260*c*b^4 + 2520*c^2*b^3 + 2520*c^3*b^2 + 1260*c^4*b + 252*c^5)*a^5 + (210*b^6 + 1260*c*b^5 + 3150*c^2*b^4 + 4200*c^3*b^3 + 3150*c^4*b^2 + 1260*c^5*b + 210*c^6)*a^4 + (120*b^7 + 840*c*b^6 + 2520*c^2*b^5 + 4200*c^3*b^4 + 4200*c^4*b^3 + 2520*c^5*b^2 + 840*c^6*b + 120*c^7)*a^3 + (45*b^8 + 360*c*b^7 + 1260*c^2*b^6 + 2520*c^3*b^5 + 3150*c^4*b^4 + 2520*c^5*b^3 + 1260*c^6*b^2 + 360*c^7*b + 45*c^8)*a^2 + (10*b^9 + 90*c*b^8 + 360*c^2*b^7 + 840*c^3*b^6 + 1260*c^4*b^5 + 1260*c^5*b^4 + 840*c^6*b^3 + 360*c^7*b^2 + 90*c^8*b + 10*c^9)*a + (b^10 + 10*c*b^9 + 45*c^2*b^8 + 120*c^3*b^7 + 210*c^4*b^6 + 252*c^5*b^5 + 210*c^6*b^4 + 120*c^7*b^3 + 45*c^8*b^2 + 10*c^9*b + c^10) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65) Time: Fri Mar 5 19:19:16 2004 Input: mathilbert(5)^2 Output: [5269/3600 5/6 25/42 235/504 775/2016] [5/6 1769/3600 5/14 95/336 355/1512] [25/42 5/14 46181/176400 5/24 25/144] [235/504 95/336 5/24 117349/705600 5/36] [775/2016 355/1512 25/144 5/36 737641/6350400] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65) Time: Fri Mar 5 19:19:39 2004 Input: mathilbert(5) Output: [1 1/2 1/3 1/4 1/5] [1/2 1/3 1/4 1/5 1/6] [1/3 1/4 1/5 1/6 1/7] [1/4 1/5 1/6 1/7 1/8] [1/5 1/6 1/7 1/8 1/9] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 159-134-56-65.as1.sla.galway.eircom.net. (159.134.56.65) Time: Fri Mar 5 19:20:02 2004 Input: mathilbert(6) Output: [1 1/2 1/3 1/4 1/5 1/6] [1/2 1/3 1/4 1/5 1/6 1/7] [1/3 1/4 1/5 1/6 1/7 1/8] [1/4 1/5 1/6 1/7 1/8 1/9] [1/5 1/6 1/7 1/8 1/9 1/10] [1/6 1/7 1/8 1/9 1/10 1/11] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 82-166-168-173.barak.net.il. (82.166.168.173) Time: Fri Mar 5 21:27:46 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host c211-28-150-222.thoms1.vic.optusnet.com.au. (211.28.150.222) Time: Sat Mar 6 21:45:03 2004 Input: x squared times four-hundred Output: xsquaredtimesfour - hundred Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host c211-28-150-222.thoms1.vic.optusnet.com.au. (211.28.150.222) Time: Sat Mar 6 21:45:14 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Ottawa-HSE-ppp261551.sympatico.ca. (64.230.31.236) Time: Sun Mar 7 10:07:14 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.085s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host pool-141-154-147-143.wma.east.verizon.net. (141.154.147.143) Time: Sun Mar 7 20:58:44 2004 Input: log2 4-logx 16 Output: log24 - logx16 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176) Time: Mon Mar 8 01:50:17 2004 Input: 700 Output: 700 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176) Time: Mon Mar 8 01:54:52 2004 Input: sevsn zero zero Output: sevsnzerozero Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176) Time: Mon Mar 8 01:55:43 2004 Input: sevsn zero zero Output: sevsnzerozero Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176) Time: Mon Mar 8 01:55:53 2004 Input: seven zero zero Output: sevenzerozero Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-65-64-201-176.dsl.rcsntx.swbell.net. (65.64.201.176) Time: Mon Mar 8 01:56:24 2004 Input: nine one one Output: nineoneone Errors (if any) and Timing Info: Timing: real 0m0.075s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host c-24-126-214-191.we.client2.attbi.com. (24.126.214.191) Time: Mon Mar 8 04:30:01 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (134.147.19.204) Time: Mon Mar 8 09:02:39 2004 Input: 2+3= Output: Errors (if any) and Timing Info: *** unexpected character: 2+3= ^- Timing: real 0m0.172s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Mar 8 18:53:06 2004 Input: k=MOD(x, x^2-2) k^2 Output: k^2 Errors (if any) and Timing Info: *** expected character: ',' instead of: k=MOD(x,x^2-2) ^----- Timing: real 0m0.088s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Mar 8 18:53:42 2004 Input: k=Mod(x, x^2-2) k^2 Output: Mod(x, x^2 - 2) Mod(2, x^2 - 2) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Mar 8 18:54:23 2004 Input: k=Mod(x, x^2-2) k^2 a+b*k Output: Mod(x, x^2 - 2) Mod(2, x^2 - 2) Mod(b*x + a, x^2 - 2) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Mar 8 18:54:46 2004 Input: k=Mod(x, x^2-2) k^2 a+b*k CharPoly(a+b*k) Output: Mod(x, x^2 - 2) Mod(2, x^2 - 2) Mod(b*x + a, x^2 - 2) Errors (if any) and Timing Info: *** expected character: ',' instead of: CharPoly(a+b*k) ^----- Timing: real 0m0.076s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Mar 8 18:55:10 2004 Input: k=Mod(x, x^2-2) k^2 a+b*k charpoly(a+b*k) Output: Mod(x, x^2 - 2) Mod(2, x^2 - 2) Mod(b*x + a, x^2 - 2) x^2 - 2*a*x + (a^2 - 2*b^2) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Mar 8 18:56:54 2004 Input: k=Mod(x, x^3-x+2) charpoly((1/2)*(a+b*k+c*k^2)) Output: Mod(x, x^3 - x + 2) x^3 + (-3/2*a - c)*x^2 + (3/4*a^2 + c*a + (-1/4*b^2 + 3/2*c*b + 1/4*c^2))*x + (-1/8*a^3 - 1/4*c*a^2 + (1/8*b^2 - 3/4*c*b - 1/8*c^2)*a + (1/4*b^3 - 1/4*c^2*b - 1/2*c^3)) Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host bln2-t2-2.mcbone.net. (62.104.208.83) Time: Tue Mar 9 12:42:23 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host B56-74.DAS.McGill.CA. (198.168.182.226) Time: Tue Mar 9 15:03:21 2004 Input: 2+3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 200-147-20-199.tlf.dialuol.com.br. (200.147.20.199) Time: Tue Mar 9 23:35:39 2004 Input: sin(2); Output: Errors (if any) and Timing Info: Timing: real 0m0.085s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host GLORFINDEL.MIT.EDU. (18.243.1.196) Time: Wed Mar 10 04:42:17 2004 Input: ClassGroup(QuadraticField(-55)); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: ClassGroup( *** QuadraticField(-55)) ^-------------------- Timing: real 0m0.077s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.3.129.244) Time: Wed Mar 10 06:29:27 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host cache2.nottingham.ac.uk. (128.243.220.22) Time: Wed Mar 10 09:19:12 2004 Input: log(x) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cache2.nottingham.ac.uk. (128.243.220.22) Time: Wed Mar 10 09:19:36 2004 Input: log(x+1) Output: x - 1/2*x^2 + 1/3*x^3 - 1/4*x^4 + 1/5*x^5 - 1/6*x^6 + 1/7*x^7 - 1/8*x^8 + 1/9*x^9 - 1/10*x^10 + 1/11*x^11 - 1/12*x^12 + 1/13*x^13 - 1/14*x^14 + 1/15*x^15 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.083s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host 2(SERVFAIL) (161.53.45.106) Time: Wed Mar 10 09:40:57 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host aula-b-siee128.uab.es. (158.109.66.128) Time: Wed Mar 10 11:51:16 2004 Input: F:=GF(7*7*7); n := alpha^(7*2+7*1+7*0); Output: Errors (if any) and Timing Info: *** unexpected character: F:=GF(7*7*7); ^------------ *** unexpected character: n:=alpha^(7*2+7*1+7*0) ^-------------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host B56-46.DAS.McGill.CA. (198.168.182.198) Time: Wed Mar 10 14:30:15 2004 Input: 2+5; Output: Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host B56-31.DAS.McGill.CA. (198.168.182.183) Time: Wed Mar 10 15:54:56 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host B56-31.DAS.McGill.CA. (198.168.182.183) Time: Wed Mar 10 16:02:20 2004 Input: 1 eq 3 Output: Errors (if any) and Timing Info: *** unused characters: 1eq3 ^-- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (200.182.6.2) Time: Wed Mar 10 18:56:46 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4) Time: Thu Mar 11 01:35:01 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host mnprox15.epo.nl. (145.64.134.235) Time: Thu Mar 11 04:18:52 2004 Input: 5+6 Output: 11 Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host www-rocqbis.inria.fr. (192.93.2.12) Time: Thu Mar 11 07:15:31 2004 Input: K := GF(11,11); #K; Output: Errors (if any) and Timing Info: *** unexpected character: K:=GF(11,11); ^------------ *** unexpected character: #K; ^-- Timing: real 0m0.087s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host serv.math.metu.edu.tr. (144.122.136.16) Time: Thu Mar 11 11:33:27 2004 Input: 2 + 3 ; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host serv.math.metu.edu.tr. (144.122.136.16) Time: Thu Mar 11 11:33:40 2004 Input: 2 + 3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhip-159.ams.residences.colby.edu. (137.146.134.223) Time: Thu Mar 11 17:05:04 2004 Input: gcd(121,375) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhip-159.ams.residences.colby.edu. (137.146.134.223) Time: Thu Mar 11 17:12:07 2004 Input: gcd(121,12) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhip-159.ams.residences.colby.edu. (137.146.134.223) Time: Thu Mar 11 17:24:30 2004 Input: gcd(87,191) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhip-159.ams.residences.colby.edu. (137.146.134.223) Time: Thu Mar 11 17:35:39 2004 Input: gcd(19,247) Output: 19 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host csarami.resnet.mtu.edu. (141.219.83.104) Time: Thu Mar 11 20:53:49 2004 Input: P:=PolynomialRing(GF(2)); f:=(1 + x + x^2 + x^5 + x^6 + x^11 + x^14 + x^15 + x^16 + x^22 + x^23 + x^24 + x^25 + x^26 + x^28 + x^31 + x^32 + x^33 + x^35 + x^36); C:=CyclicCode(63,f); #AutomorphismGroup(C); Output: Errors (if any) and Timing Info: *** unexpected character: P:=PolynomialRing(GF( ^-------------------- *** unexpected character: f:=(1+x+x^2+x^5+x^6+x^ ^-------------------- *** unexpected character: ...x^28+x^31+x^32+x^33+x^35+ ^ *** unused characters: x^36); ^-- *** unexpected character: C:=CyclicCode(63,f);#A ^-------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host gw1.btc.transwitch.com. (63.149.68.2) Time: Fri Mar 12 00:18:42 2004 Input: R := PolynomialRing(RationalField());TransitiveGroupIdentification(GaloisGroup(x^15-2*x^14-163*x^13+572*x^12+8741*x^11-43566*x^10-158357*x^9+1218850*x^8-268843*x^7-10964358*x^6+22615039*x^5-6993034*x^4-9237443*x^3-232532*x^2+291180*x-14600)); Output: Errors (if any) and Timing Info: *** unexpected character: R:=PolynomialRing(Rat ^-------------------- Timing: real 0m0.053s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host l2-372b.kn.vutbr.cz. (147.229.201.96) Time: Fri Mar 12 07:12:12 2004 Input: P:=PolynomialAlgebra(GF(2)); function PolynomialOrder(p); //------------------------------------------------------------------- // PolynomialOrder calculates the order of a polynomial over a finite // field //------------------------------------------------------------------- Fqm:=SplittingField(p); // Create extension field GF(q^m) if IsIrreducible(p) then // Order of p is order of root of p order:=Order(Representative(Roots(p,Fqm))[1]); else // Order of prime factors of p must P:=Parent(p); // divide order of p x:=P.1; allorders:={Order(a[1]):a in Roots(p,Fqm)}; orders:=[order:order in allorders]; step:=Lcm(orders); order:=0; repeat order:=order+step; until Gcd(x^order-1,p) eq p; end if; return order; end function; function SecPoly(s); return &+[x^i:i in s]; end function; function PrintLaTeXFactor(n); a:=Factorization(n); c:=""; for b in a do c:=c*IntegerToString(b[1])*"^{"*IntegerToString(b[2])*"}"; end for; return c; end function; function PrintIrreduciblePolynomialOrder(m,w); //------------------------------------------------------------------- // PrintIrreduciblePolynomialOrder(m,w) prints all irreducible // polynomials over GF(2) of degree m and weight w and their orders. // // Created by Mikael Olofsson 970627. //------------------------------------------------------------------- if m lt 0 then powers:=[]; elif m eq 0 then if w eq 1 then powers:=[[0]]; else powers:=[]; end if; elif (m ge w-1) and (w ge 2) then //P:=PolynomialAlgebra(GF(2)); powers:=[[0]]; if w ge 3 then for i in [2..w-1] do newpowers:=[]; for a in powers do for j in [a[i-1]+1..m-w+i] do Append(~newpowers,Append(a,j)); end for; end for; powers:=newpowers; end for; end if; powers:=[Append(a,m):a in powers]; else powers:=[]; end if; polynomials:=[SecPoly(a):a in powers]; irrpolynomials:=[p:p in polynomials|IsIrreducible(p)]; M:=#irrpolynomials; print "A search of irreducible polynomials using MAGMA gave the following result."; print " "; print "Found", M, "irreducible polynomials"; print "of degree", m, "and weight "*IntegerToString(w)*"."; print " "; print "begin{tabular}{|l|l|}"; print " Polynomial & Order "; maxorder:=0; for p in irrpolynomials do order:=PolynomialOrder(p); maxorder:=Max({maxorder,order}); print "$", p, "$ & $"*IntegerToString(order)*"="*PrintLaTeXFactor(order)*"$ "; end for; print "end{tabular}"; return irrpolynomials,M,maxorder; end function; print "Use DoItNow(m1,m2,step) to generate irreducible polynomials of"; print "weight 5"; procedure DoItNow(m1,m2,step); //------------------------------------------------------------------- // DoItNow(m1,m2,step) is a procedure that generates tables of // irreducible polynomials of weight five using the function // PrintIrreduciblePolynomialOrder(m,w). For each degree two separate // files are created for the polynomials, one in MAGMA form and one // in LaTeX form. Additionally, for each degree interval of length // step a file containing a table of degrees and the number of // irreducible polynomials of that degree and weight three is produced. // // Created by Mikael Olofsson 970706. //------------------------------------------------------------------- mm1:=IntegerToString(m1); mm2:=IntegerToString(m2); print "Searching for irreducible polynomials in the interval ]"*mm1*","*mm2*"]."; print " "; for i in [m1..m2 by step] do i1:=IntegerToString(i+1); i2:=IntegerToString(i+step); print "Treatíng degrees "*i1*" - "*i2; filename1:="WeightFivePoly"*i1*"-"*i2*".tex"; filename2:="WeightFivePoly"*i1*"-"*i2*".def"; print "Initiating "*filename1*"."; SetOutputFile(filename1); print "The number $N_m$ of irreducible polynomials of weight $5$"; print "and the maximum order $r$ of these polynomials for degrees $min["*i1*","*i2*"]$."; print " "; print "begin{tabular}{|l|l|}hline"; print " $m$ & $N_m$ & $r$ hlinehline"; UnsetOutputFile(); print "Initiating "*filename2*"."; SetOutputFile(filename2); print "// Definition of IrrPolyWeightFiveNumberAndOrder, containing"; print "// [m,Nm,r], the number Nm of irreducible polynomials of weight 5"; print "// and the maximum order r of these polynomials for degrees"; print "// m ranging from "*i1*" to "*i2*"."; print " "; print "IrrPolyWeightFiveNumberAndOrder:=[]"; UnsetOutputFile(); for j in [1..step] do ij1:=IntegerToString(i+j); filename3:="WeightFivePoly"*ij1*".tex"; filename4:="WeightFivePoly"*ij1*".def"; print "Writing in "*filename3*"."; SetOutputFile(filename3); irrpolys, Nm, maxorder := PrintIrreduciblePolynomialOrder(i+j,5); UnsetOutputFile(); print "Writing in "*filename4*"."; SetOutputFile(filename4); print "// Definition of irrpolys"*ij1*"weight5, all irreducible polynomials"; print "// of degree "*ij1*" and weight 5 over GF(2), and definition of "; print "// N"*ij1*"weight5, the number of these polynomials. Also definition of "; print "// maxorder"*ij1*"weight5, the maximum order among these polynomials."; print " "; print "irrpolys"*ij1*"weight5:=",irrpolys,";"; print "N"*ij1*"weight5:=",Nm,";"; print "maxorder"*ij1*"weight5:=",maxorder,";"; UnsetOutputFile(); print "Writing in "*filename1*"."; SetOutputFile(filename1); NNm:=IntegerToString(Nm); MO:=IntegerToString(maxorder); print " "*ij1*" & "*NNm*" & "*MO*" "; UnsetOutputFile(); print "Writing in "*filename2*"."; SetOutputFile(filename2); print "Append(~IrrPolyWeightFiveNumberAndOrder,["*ij1*","*NNm*","*MO*"]);"; UnsetOutputFile(); end for; print "Terminating "*filename1*"."; SetOutputFile(filename1); print "hline"; print "end{tabular}"; UnsetOutputFile(); print "Terminating "*filename2*"."; SetOutputFile(filename2); print "// Ready!"; UnsetOutputFile(); print "Subinterval ready."; print " "; end for; print "The search is terminated."; end procedure; Output: WARNING: PARI command contains unsafe command 'read', so it will not be executed. ************** PARI ***************** Host lupetti2.cs.uit.no. (129.242.18.56) Time: Fri Mar 12 11:40:17 2004 Input: F7 := FiniteField(7);F49 := ext< F7 | 2 >; Output: Errors (if any) and Timing Info: *** unexpected character: F7:=FiniteField(7);F49< ^-------------------- Timing: real 0m0.070s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Fri Mar 12 12:23:39 2004 Input: 1+1+1+1; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Fri Mar 12 12:23:45 2004 Input: 1+1+1+1 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host knox.pace.edu. (198.105.45.18) Time: Sat Mar 13 15:51:42 2004 Input: factor(x^2-25) Output: [x - 5 1] [x + 5 1] Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host knox.pace.edu. (198.105.45.18) Time: Sat Mar 13 15:52:06 2004 Input: polroots(x^2-25) Output: [-5.000000000000000000000000000 + 0.E-28*I, 5.000000000000000000000000000 + 0.E-28*I]~ Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host knox.pace.edu. (198.105.45.18) Time: Sat Mar 13 15:52:38 2004 Input: polroots(x^2-25*y+45) Output: Errors (if any) and Timing Info: *** invalid coefficients in roots. Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host knox.pace.edu. (198.105.45.18) Time: Sat Mar 13 15:54:15 2004 Input: polroots((44*x+3*17)*(44*y+3)-17*713) Output: Errors (if any) and Timing Info: *** invalid coefficients in roots. Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host knox.pace.edu. (198.105.45.18) Time: Sat Mar 13 15:54:24 2004 Input: polroots((44*x+3*17)*(44*y+3)-17*713) Output: Errors (if any) and Timing Info: *** invalid coefficients in roots. Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host knox.pace.edu. (198.105.45.18) Time: Sat Mar 13 15:54:40 2004 Input: factor((44*x+3*17)*(44*y+3)-17*713) Output: Errors (if any) and Timing Info: *** sorry, factor for general polynomials is not yet implemented. Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27) Time: Sun Mar 14 12:16:07 2004 Input: delta(a,b)=a^3+27b^2; delta(5,6) Output: Errors (if any) and Timing Info: *** unused characters: delta(a,b)=a^3+27b^2; ^---- *** unknown function or error in formal parameters: delta(5,6) ^---------- Timing: real 0m0.319s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27) Time: Sun Mar 14 12:16:21 2004 Input: D(a,b)=a^3+27b^2; delta(5,6) Output: Errors (if any) and Timing Info: *** unused characters: D(a,b)=a^3+27b^2; ^---- *** unknown function or error in formal parameters: delta(5,6) ^---------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27) Time: Sun Mar 14 12:16:35 2004 Input: DLT(a,b)=a^3+27b^2; DLT(5,6) Output: Errors (if any) and Timing Info: *** unused characters: DLT(a,b)=a^3+27b^2; ^---- *** unknown function or error in formal parameters: DLT(5,6) ^-------- Timing: real 0m0.051s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27) Time: Sun Mar 14 12:16:41 2004 Input: DLT(a,b)=a^3+27b^2; DLT(5,6) Output: Errors (if any) and Timing Info: *** unused characters: DLT(a,b)=a^3+27b^2; ^---- *** unknown function or error in formal parameters: DLT(5,6) ^-------- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27) Time: Sun Mar 14 12:16:55 2004 Input: f(a,b)=a^3+27b^2; f(5,6) Output: Errors (if any) and Timing Info: *** unused characters: f(a,b)=a^3+27b^2; ^---- *** unknown function or error in formal parameters: f(5,6) ^------ Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host p2027-adsao02yokonib2-acca.kanagawa.ocn.ne.jp. (219.96.164.27) Time: Sun Mar 14 12:16:59 2004 Input: f(a,b)=a^3+27b^2 f(5,6) Output: Errors (if any) and Timing Info: *** unused characters: f(a,b)=a^3+27b^2 ^--- *** unknown function or error in formal parameters: f(5,6) ^------ Timing: real 0m0.064s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 15:17:05 2004 Input: isfundamental(-20) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:05:40 2004 Input: K=nfinit(x^2+1) Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:06:13 2004 Input: K=nfinit(x^2+1) K.pol Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:07:10 2004 Input: K=nfinit(x^2+1) K.pol K.disc Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:07:48 2004 Input: K=nfinit(x^2+1) K.pol K.disc k=K Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:08:17 2004 Input: K=nfinit(x^2+1) K.pol K.disc k=K k.zn Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] Errors (if any) and Timing Info: *** unknown member function: k.zn ^-- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:08:55 2004 Input: K=nfinit(x^2+1) K.pol K.disc k=K k.zk Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] [1, x] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:09:37 2004 Input: K=nfinit(x^2+1) K.pol K.disc k=K k.zk k[1] Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] [1, x] x^2 + 1 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:10:04 2004 Input: K=nfinit(x^2+1) K.pol K.disc k=K k.zk k[1] k[2] Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] [1, x] x^2 + 1 [0, 1] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0cdf8kt.cable.mindspring.com. (24.215.162.157) Time: Sun Mar 14 16:10:41 2004 Input: K=nfinit(x^2+1) K.pol K.disc k=K k.zk k[1] k[2] k[1] Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] x^2 + 1 -4 [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] [1, x] x^2 + 1 [0, 1] x^2 + 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:38:57 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:39:17 2004 Input: 122! Output: 98750442008336013624115798714482080125644041369783596059584700502676714572050143649033796427745042294071023050579626404736512939596842694895821378210620013388054747214795243520000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:39:27 2004 Input: 1212! Output: 604135383188240660162062201902983115620134526741683204183911779118376949163304900218275305254509836515199782057180412858675500826884011235948149341010090980180274578980636101845437920995072691843657518709215170925709674182944495490951285259529977633701541144218281803803537959815544355268213913396390421869716387966803332531644779549110444732848274145526192540229891468232088152026709472627474511831824106731741959500133420588681367116055608266812366211583464206097744064369252695048258432210489179654857549669504400984774521801046787591227929812681147672247269091290078587854587894279178430462981182873167424375398652349349950617741213838868888476975961247481555790007344520321583025497948787119945934987231774618732823592977506933414425251648207264342096535937157445957748482187824154064989544797240302950523305071725098909535688444534749939018291587951517624228147485571759396196844881344069074482073516569806603122258796892676181897059223623323951675449971395654133549307796320790071187549964446531802102599465744452613329799380263551424297773839747577708393709721602278651986554998799368150511993092622604086541075260839011391772900015290353281728303385621620548377926001091013674144000318195738914000698936354529041123536852072557245346396082900701657121196312892982029238781041922228277173361938152060889731666592910689952132259430838959873632980060225490248397139089330829148775050765787254246221934518591947183215796108790561392837398829002822672807001171361521652666054321523238547369993013012867514604294805339303644925569982736204364762281108099123692564799189494088288933071586431945221833286560626235788996782480300823674982751757496674577130415325590376492548519056938070779334696628910788254693242392863833405082053469663636557208429759336773648992156180915146011472550621735477947899339207003335213729468116977443037801449594663833259613975065554754395986473716973328865329256765659326597302156347277650266275857205587204608650231804595179090112815019416337908939366499162882049680331375432778205639072617130688880168760917828683607051387609848104841763358931770274637619518604269181593557474029250361143081859217298812202155145140283999553645065043462938475676539396888295702868821150742892874917029673720301983851934472962731599190203693381108999014008289316851506165206479687810486801689969810929591360036526458557053207627804733847255913723564821613316025292994466039907861576134871927829632710978411569999272468130341241816159062450500600650422332381288330648233325764929642309437916084484753600682064961187124442884533554075063228483741631241648253675589740699802834321381421567993515082152236738824200322896547132124477225212441324503517262759609759456701410012097210588567575248307542112698560698403339656184729975928246324245420730437245839335633333199919498405446187802154080505058719571548160606589856510781721458438619152417186144905161302475452720205341707028745264543137488013623296000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:39:35 2004 Input: 1212!*1. Output: 6.041353831882406601620622018 E3212 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:39:43 2004 Input: 12112!*1. Output: 1.501268853775173435672530051 E44198 Errors (if any) and Timing Info: Timing: real 0m0.112s user 0m0.100s sys 0m0.010s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:39:54 2004 Input: 20000!*1. Output: 1.819206320230345134827641756 E77337 Errors (if any) and Timing Info: Timing: real 0m0.194s user 0m0.130s sys 0m0.060s ************** PARI ***************** Host adsl-65-70-157-248.dsl.kscymo.swbell.net. (65.70.157.248) Time: Sun Mar 14 18:40:37 2004 Input: 200000!*1. Output: 1.420225345470314404966946333 E973350 Errors (if any) and Timing Info: Timing: real 0m7.652s user 0m7.610s sys 0m0.040s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:19:46 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:20:02 2004 Input: 2² Output: Errors (if any) and Timing Info: *** unused characters: 2² ^- Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:20:11 2004 Input: 2^2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:20:35 2004 Input: cos(x)^2+sin(x)^2 Output: 1 + O(x^17) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:21:12 2004 Input: matrix(1,2,3;4,5,6;7,8,9) Output: Errors (if any) and Timing Info: *** variable name expected: matrix(1,2,3;4,5,6;7,8,9) ^-------------- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:21:21 2004 Input: G=matrix(1,2,3;4,5,6;7,8,9) Output: Errors (if any) and Timing Info: *** variable name expected: G=matrix(1,2,3;4,5,6;7,8,9) ^-------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:22:57 2004 Input: inverse(matrix(1,2,3;4,5,6;7,8,9)) Output: Errors (if any) and Timing Info: *** variable name expected: inverse(matrix(1,2,3;4,5,6;7,8,9)) ^--------------- Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp-214-040.ethz.ch. (129.132.214.40) Time: Mon Mar 15 08:23:41 2004 Input: inverse(matrix(1,2,3;4,5,6;7,8,9)) Output: Errors (if any) and Timing Info: *** variable name expected: inverse(matrix(1,2,3;4,5,6;7,8,9)) ^--------------- Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host host117-168.pool8249.interbusiness.it. (82.49.168.117) Time: Mon Mar 15 15:42:41 2004 Input: factor(100000003) Output: [643 1] [155521 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (204.76.113.254) Time: Mon Mar 15 17:20:20 2004 Input: x+(x/100*15)=17000 Output: Errors (if any) and Timing Info: *** unexpected character: x+(x/100*15)=17000 ^------ Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (204.76.113.254) Time: Mon Mar 15 17:21:41 2004 Input: x*x Output: x^2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host213-123-166-1.in-addr.btopenworld.com. (213.123.166.1) Time: Tue Mar 16 05:05:51 2004 Input: sdsdasda Output: sdsdasda Errors (if any) and Timing Info: Timing: real 0m0.206s user 0m0.050s sys 0m0.130s ************** PARI ***************** Host aula-b-siee113.uab.es. (158.109.66.113) Time: Wed Mar 17 05:27:55 2004 Input: /*Sessio 2*/ /*Pregunta 1*/ /*Apartat 1*/ G2 := GF(2); G3 := GF(3); G5 := GF(5); /*Apartat 2*/ /* Z9 no es un cos, ja que nou no es un nombre primer */ Z9:=Integers(9); /* [a]m pertanyent a Zm es invertible sii mcd(a,m)=1*/ IsInvertible(Z9!3); /*Apartat 3*/ s:=GF(3,2); p:=PolynomialRing(s); f:= 2+2*x+x^2; Factorization(f); Roots(f,s); IsIrreducible(f); s1:=GF(2,4); p1:=PolynomialRing(s1); f1:= 1+x+x^4; Factorization(f1); Roots(f1,s1); IsIrreducible(f1); s2:=GF(5,2); p2:=PolynomialRing(s2); f2:= 3+2*x+x^2; Factorization(f2); Roots(f2,s2); IsIrreducible(f2); s3:=GF(3,2); p3:=PolynomialRing(s3); f3:= 1+2*x+x^2; Factorization(f3); Roots(f3); IsIrreducible(f3); Output: Errors (if any) and Timing Info: *** unexpected character: G2:=GF(2);G3:=GF(3);G5: ^-------------------- *** unexpected character: Z9:=Integers(9); ^------------- *** expected character: ',' instead of: IsInvertible(Z9!3); ^--- *** unexpected character: s:=GF(3,2); ^---------- *** unexpected character: p:=PolynomialRing(s); ^-------------------- *** unexpected character: f:=2+2*x+x^2; ^----------- *** expected character: '=' instead of: Factorization(f); ^- *** expected character: '=' instead of: Roots(f,s); ^- *** expected character: '=' instead of: IsIrreducible(f); ^- *** unexpected character: s1:=GF(2,4); ^---------- *** unexpected character: p1:=PolynomialRing(s1) ^-------------------- *** unexpected character: f1:=1+x+x^4; ^--------- *** expected character: '=' instead of: Factorization(f1); ^- *** expected character: '=' instead of: Roots(f1,s1); ^- *** expected character: '=' instead of: IsIrreducible(f1); ^- *** unexpected character: s2:=GF(5,2); ^---------- *** unexpected character: p2:=PolynomialRing(s2) ^-------------------- *** unexpected character: f2:=3+2*x+x^2; ^----------- *** expected character: '=' instead of: Factorization(f2); ^- *** expected character: '=' instead of: Roots(f2,s2); ^- *** expected character: '=' instead of: IsIrreducible(f2); ^- *** unexpected character: s3:=GF(3,2); ^---------- *** unexpected character: p3:=PolynomialRing(s3) ^-------------------- *** unexpected character: f3:=1+2*x+x^2; ^----------- *** expected character: '=' instead of: Factorization(f3); ^- *** expected character: '=' instead of: Roots(f3); ^- *** expected character: '=' instead of: IsIrreducible(f3); ^- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h0050da316214.ne.client2.attbi.com. (65.96.168.112) Time: Wed Mar 17 06:56:01 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h0050da316214.ne.client2.attbi.com. (65.96.168.112) Time: Wed Mar 17 06:56:13 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host sl-5.splius.lt. (62.80.224.5) Time: Wed Mar 17 10:52:42 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sl-5.splius.lt. (62.80.224.5) Time: Wed Mar 17 10:52:46 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sl-5.splius.lt. (62.80.224.5) Time: Wed Mar 17 10:53:07 2004 Input: simas Output: simas Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host sl-5.splius.lt. (62.80.224.5) Time: Wed Mar 17 10:53:38 2004 Input: 123 Output: 123 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host sl-5.splius.lt. (62.80.224.5) Time: Wed Mar 17 10:54:17 2004 Input: 123451232132132132465465465498654654564 Output: 123451232132132132465465465498654654564 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (193.194.89.11) Time: Wed Mar 17 11:05:33 2004 Input: series(tan(x),x=0,5); Output: Errors (if any) and Timing Info: *** obsolete function: series(tan(x),x=0,5) ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: series(x,v) ===> Ser(x,v) Ser(x,{v=x}): convert x (usually a vector) into a power series with variable v, starting with the constant coefficient. Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (12.154.53.15) Time: Thu Mar 18 11:40:24 2004 Input: 1234! Output: 51084981466469576881306176261004598750272741624636207875758364885679783886389114119904367398214909451616865959797190085595957216060201081790863562740711392408402606162284424347926444168293770306459877429620549980121621880068812119922825565603750036793657428476498577316887890689284884464423522469162924654419945496940052746066950867784084753581540148194316888303839694860870357008235525028115281402379270279446743097868896180567901452872031734195056432576568754346528258569883526859826727735838654082246721751819658052692396270611348013013786739320229706009940781025586038809493013992111030432473321532228589636150722621360366978607484692870955691740723349227220367512994355146567475980006373400215826077949494335370591623671142026957923937669224771617167959359650439966392673073180139376563073706562200771241291710828132078928672693377605280698340976512622686207175259108984253979970269330591951400265868944014001740606398220709859461709972092316953639707607509036387468655214963966625322700932867195641466506305265122238332824677892386098873045477946570475614470735681011537762930068333229753461311175690053190276217215938122229254011663319535668562288276814566536254139944327446923749675156838399258655227114181067181300031191298489076680172983118121156086627360397334232174932132686080901569496392129263706595509472541921027039947595787992209537069031379517112985804276412719491334730247762876260753560199012424360211862466047511184797159731714330368251192307852167757615200611669009575630075581632200897019110165738489288234845801413542090086926381756642228872729319587724120647133695447658709466047131787467521648967375146176025775545958018149895570817463048968329692812003996105944812538484291689075721849889797647554854834050132592317503861422078077932841396250772305892378304960421024845815047928229669342818218960243579473180986996883486164613586224677782405363675732940386436560159992961462550218529921214223556288943276860000631422449845365510986932611414112386178573447134236164502410346254516421812825350152383907925299199371093902393126317590337340371199288380603694517035662665827287352023563128756402516081749705325705196477769315311164029733067419282135214232605607889159739038923579732630816548135472123812968829466513428484683760888731900685205308016495533252055718190142644320009683032677163609744614629730631454898167462966265387871725580083514565623719270635683662268663333999029883429331462872848995229714115709023973771126468913873648061531223428749576267079084534656923514931496743842559669386638509884709307166187205161445819828263679270112614012378542273837296427044021252077863706963514486218183806491868791174785424506337810550453063897866281127060200866754011181906809870372032953354528699094096145120997842075109057859226120844176454175393781254004382091350994101959406590175402086698874583611581937347003423449521223245166665792257252160462357733000925232292157683100179557359793926298007588370474068230320921987459976042606283566005158202572800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.085s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (12.154.53.15) Time: Thu Mar 18 11:41:13 2004 Input: 12345!*1. Output: 3.443642469186782391615821592 E45150 Errors (if any) and Timing Info: Timing: real 0m0.116s user 0m0.110s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (12.154.53.15) Time: Thu Mar 18 11:41:54 2004 Input: 123456!*1. Output: 2.604069904929137872951393056 E574964 Errors (if any) and Timing Info: Timing: real 0m3.182s user 0m3.110s sys 0m0.070s ************** PARI ***************** Host dsl81-215-29661.adsl.ttnet.net.tr. (81.215.115.221) Time: Thu Mar 18 14:14:39 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dsl81-215-29661.adsl.ttnet.net.tr. (81.215.115.221) Time: Thu Mar 18 14:15:37 2004 Input: UEUHF88RFEII9 IIFG9I 43FUJ9RIFIU8239 92FR9IH8U4RJU Output: UEUHF88RFEII9IIFG9I43FUJ9RIFIU823992FR9IH8U4RJU Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 66-126-189-162.centralsan.dst.ca.us. (66.126.189.162) Time: Thu Mar 18 14:47:34 2004 Input: log(131071) Output: 11.78349444009543503160562870 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-67-163-82-183.client.comcast.net. (67.163.82.183) Time: Thu Mar 18 20:28:06 2004 Input: x=2y^3-y^4 Output: Errors (if any) and Timing Info: *** unused characters: x=2y^3-y^4 ^------- Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Thu Mar 18 23:09:55 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+x+t; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+x+t; ^--------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Thu Mar 18 23:12:13 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+x^3-t^2; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+x^3-t^2; ^------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Thu Mar 18 23:19:52 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+2*x^3+x^2-t^2; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+2*x^3+x^2-t^2; ^------------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Fri Mar 19 00:11:26 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+x^4+x^3-t^2; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+x^4+x^3-t^2; ^----------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Fri Mar 19 00:28:39 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+t*x^4+x^3-t^2; print(f); G, R:= GaloisGroup(f); print(G); print(Order(G)); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+t*x^4+x^3-t^2; ^------------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** expected character: '=' instead of: print(Order(G)); ^-- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Fri Mar 19 01:07:19 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+x^4+t^2*x^3-t^2; print(f); G, R:= GaloisGroup(f); print(G); print(Order(G)); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+x^4+t^2*x^3-t^2 ^-------------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** expected character: '=' instead of: print(Order(G)); ^-- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Fri Mar 19 01:11:38 2004 Input: P:= FunctionField(GF(3)); Q:= PolynomialRing(P); f:=x^6+t*x^4+x^3-t^2; print(f); G, R:= GaloisGroup(f); print(G); print(Order(G)); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(3 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+t*x^4+x^3-t^2; ^------------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** expected character: '=' instead of: print(Order(G)); ^-- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pool-151-201-57-45.pitt.east.verizon.net. (151.201.57.45) Time: Fri Mar 19 03:33:43 2004 Input: > P := PolynomialRing(IntegerRing(), 4); > I := ideal; > GroebnerBasis(I); Output: Errors (if any) and Timing Info: *** unexpected character: >P:=Polynom ^-------------------- *** unexpected character: >I:=idealGroebnerBasis(I); ^------------------ Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ALagny-102-1-3-199.w80-11.abo.wanadoo.fr. (80.11.127.199) Time: Fri Mar 19 08:46:32 2004 Input: (a+b)*(c+d) Output: (c + d)*a + (c + d)*b Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ALagny-102-1-3-199.w80-11.abo.wanadoo.fr. (80.11.127.199) Time: Fri Mar 19 08:47:02 2004 Input: expand((a+b)*(c+d)) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: expand((a+b)*(c+d)) ^------------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ALagny-102-1-3-199.w80-11.abo.wanadoo.fr. (80.11.127.199) Time: Fri Mar 19 08:47:14 2004 Input: simplify((a+b)*(c+d)) Output: (c + d)*a + (c + d)*b Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host gw1.btc.transwitch.com. (63.149.68.2) Time: Fri Mar 19 12:13:02 2004 Input: R := PolynomialRing(RationalField());TransitiveGroupIdentification(GaloisGroup(x^16 + 14*x^8 - 1)); Output: Errors (if any) and Timing Info: *** unexpected character: R:=PolynomialRing(Rat ^-------------------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host v198-169-189-225.online-age.net. (198.169.189.225) Time: Fri Mar 19 15:26:23 2004 Input: 5*a+9*b + (2*(2*a+5*b)) Output: 9*a + 19*b Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host ppp-62-11-143-127.dialup.tiscali.it. (62.11.143.127) Time: Sat Mar 20 05:24:45 2004 Input: a:=[1,2,3,21,3,13,1,31] Output: Errors (if any) and Timing Info: *** unexpected character: a:=[1,2,3,21,3,13,1,31 ^-------------------- Timing: real 0m0.079s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ppp-62-11-143-127.dialup.tiscali.it. (62.11.143.127) Time: Sat Mar 20 05:25:06 2004 Input: [1,2,3,21,3,13,1,31]*3 Output: [3, 6, 9, 63, 9, 39, 3, 93] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ppp-62-11-143-127.dialup.tiscali.it. (62.11.143.127) Time: Sat Mar 20 05:25:41 2004 Input: LLL([1,2,3,21,3,13,1,31]) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: LLL([1,2,3,21,3,13,1 ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ANeuilly-109-1-9-141.w81-50.abo.wanadoo.fr. (81.50.59.141) Time: Sat Mar 20 12:20:16 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.079s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host host229-46.pool8249.interbusiness.it. (82.49.46.229) Time: Sat Mar 20 13:42:06 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.020s sys 0m0.020s ************** PARI ***************** Host host229-46.pool8249.interbusiness.it. (82.49.46.229) Time: Sat Mar 20 13:42:14 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host229-46.pool8249.interbusiness.it. (82.49.46.229) Time: Sat Mar 20 13:42:34 2004 Input: x+1=0 Output: Errors (if any) and Timing Info: *** unexpected character: x+1=0 ^-- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:29:32 2004 Input: 5 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:29:41 2004 Input: 2^128 Output: 340282366920938463463374607431768211456 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:30:03 2004 Input: (2^165*2) Output: 93536104789177786765035829293842113257979682750464 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:30:13 2004 Input: (2^165*2)/2 Output: 46768052394588893382517914646921056628989841375232 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:30:37 2004 Input: 2^(1/2) Output: 1.414213562373095048801688724 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:30:46 2004 Input: 2^(1/2) Output: 1.414213562373095048801688724 Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.030s sys 0m0.050s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:31:07 2004 Input: 2^(1/2*2) Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:31:15 2004 Input: 2^1/2 Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-215-194-55.aep.bellsouth.net. (68.215.194.55) Time: Sat Mar 20 20:32:19 2004 Input: ((2^165*3^110*5^66*11^30)/2)^(1/2) Output: 4.102315656295094910051650796 E89 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 200-153-190-163.dsl.telesp.net.br. (200.153.190.163) Time: Sun Mar 21 09:33:23 2004 Input: Miguel Angel Hernandez Torres Output: MiguelAngelHernandezTorres Errors (if any) and Timing Info: Timing: real 0m0.098s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 200-153-190-163.dsl.telesp.net.br. (200.153.190.163) Time: Sun Mar 21 09:33:39 2004 Input: 2=3 Output: Errors (if any) and Timing Info: *** unexpected character: 2=3 ^-- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-67-169-131-252.client.comcast.net. (67.169.131.252) Time: Sun Mar 21 15:15:38 2004 Input: a(n)= { return(((2*n)!/(n!*2^n))^2) } a(3) Output: Errors (if any) and Timing Info: *** unexpected character: a(n)={return(((2*n)!/(n!* ^-------------------- *** unknown function or error in formal parameters: a(3) ^---- Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host c-67-169-131-252.client.comcast.net. (67.169.131.252) Time: Sun Mar 21 15:15:52 2004 Input: a(n)= { return(((2*n)!/(n!*2^n))^2) }; a(3) Output: Errors (if any) and Timing Info: *** unexpected character: a(n)={return(((2*n)!/(n!* ^-------------------- *** unknown function or error in formal parameters: a(3) ^---- Timing: real 0m0.057s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host c-67-169-131-252.client.comcast.net. (67.169.131.252) Time: Sun Mar 21 15:16:57 2004 Input: a(n)= { n=n2+1; return(((2*n)!/(n!*2^n))^2) } a(3) Output: Errors (if any) and Timing Info: *** unexpected character: a(n)={n=n2+1;return(((2*n ^-------------------- *** unknown function or error in formal parameters: a(3) ^---- Timing: real 0m0.054s user 0m0.060s sys 0m0.000s ************** PARI ***************** Host c-67-169-131-252.client.comcast.net. (67.169.131.252) Time: Sun Mar 21 15:17:32 2004 Input: a(n)= { n=n2+1; return(((2*n)!/(n!*2^n))^2) } a(3) Output: Errors (if any) and Timing Info: *** unexpected character: a(n)={n=n2+1;return(((2*n ^-------------------- *** unknown function or error in formal parameters: a(3) ^---- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-67-169-131-252.client.comcast.net. (67.169.131.252) Time: Sun Mar 21 15:17:42 2004 Input: a(n)= { n=n2+1; return(((2*n)!/(n!*2^n))^2) } a(3) Output: Errors (if any) and Timing Info: *** unexpected character: a(n)={n=n2+1;return(((2*n ^-------------------- *** unknown function or error in formal parameters: a(3) ^---- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (202.112.84.90) Time: Mon Mar 22 03:19:32 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host tweedledum.its.utas.edu.au. (131.217.6.3) Time: Tue Mar 23 03:02:44 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host robserve.STUDFB.UniBw-Muenchen.de. (137.193.211.43) Time: Tue Mar 23 13:42:34 2004 Input: F7 := PolynomialRing(FiniteField(7)); C := HyperellipticCurve(x^3-1); ZetaFunction(C); Output: Errors (if any) and Timing Info: *** unexpected character: F7:=PolynomialRing(Fin ^-------------------- *** unexpected character: C:=HyperellipticCurve( ^-------------------- *** expected character: '=' instead of: ZetaFunction(C); ^- Timing: real 0m0.103s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host proxy.aic.net. (195.250.64.76) Time: Tue Mar 23 13:57:33 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c211-28-55-6.brodm1.vic.optusnet.com.au. (211.28.55.6) Time: Tue Mar 23 18:17:40 2004 Input: 2+3; Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c211-28-55-6.brodm1.vic.optusnet.com.au. (211.28.55.6) Time: Tue Mar 23 18:18:17 2004 Input: a:=3; a+3; Output: Errors (if any) and Timing Info: *** unexpected character: a:=3; ^--- Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host A17-64-46-46.apple.com. (17.64.46.46) Time: Tue Mar 23 19:49:37 2004 Input: ln(2^2048) Output: Errors (if any) and Timing Info: *** obsolete function: ln(2^2048) ^---------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: ln(x) ===> log(x) log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0: default, or 1: calls logagm, computed using the agm. Timing: real 0m0.072s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE0004e2574a13-CM014120007623.cpe.net.cable.rogers.com. (24.103.3.214) Time: Tue Mar 23 22:25:36 2004 Input: 5+5 Output: 10 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host CPE0004e2574a13-CM014120007623.cpe.net.cable.rogers.com. (24.103.3.214) Time: Tue Mar 23 22:25:57 2004 Input: 0xba12^2 Output: Errors (if any) and Timing Info: *** unused characters: 0xba12^2 ^------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE0004e2574a13-CM014120007623.cpe.net.cable.rogers.com. (24.103.3.214) Time: Tue Mar 23 22:26:33 2004 Input: 3^4 Output: 81 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam161-215.student.harvard.edu. (140.247.161.215) Time: Wed Mar 24 01:19:42 2004 Input: ?integral Output: Errors (if any) and Timing Info: *** integral: unknown identifier. Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam161-215.student.harvard.edu. (140.247.161.215) Time: Wed Mar 24 01:19:51 2004 Input: ?Integral Output: Errors (if any) and Timing Info: *** Integral: unknown identifier. Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam161-215.student.harvard.edu. (140.247.161.215) Time: Wed Mar 24 01:19:57 2004 Input: ?int Output: Errors (if any) and Timing Info: *** int: unknown identifier. Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (150.150.6.201) Time: Wed Mar 24 04:53:16 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (150.150.6.201) Time: Wed Mar 24 04:53:29 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" 3*5 Output: "Replace this by some code, then click [PARI] or [MAGMA]!" 15 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host fwsmb10.nlb.si. (193.201.212.157) Time: Wed Mar 24 05:36:40 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cfpbc1.gs.com. (204.4.130.140) Time: Wed Mar 24 08:08:02 2004 Input: 2+3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cfpbc1.gs.com. (204.4.130.140) Time: Wed Mar 24 08:08:27 2004 Input: 2^3+3 Output: 11 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 80.58.4.42.proxycache.rima-tde.net. (80.58.4.42) Time: Wed Mar 24 12:49:38 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.010s sys 0m0.050s ************** PARI ***************** Host imsbbcf07.netvigator.com. (219.76.64.3) Time: Wed Mar 24 13:56:25 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pcd595076.netvigator.com. (218.102.127.76) Time: Wed Mar 24 13:57:28 2004 Input: 13^11791 mod 18865 Output: Errors (if any) and Timing Info: *** unused characters: 13^11791mod18865 ^-------- Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host sartre.math.psu.edu. (146.186.131.109) Time: Wed Mar 24 14:43:57 2004 Input: P:= FunctionField(GF(5)); Q:= PolynomialRing(P); c=0; d=0; f:=x^6 +2*c*x^5 +(2+2*c+c^2-4*b*d)*x^4 +(2+4*b+2*c+2*c^2-4*d-8*b*d)*x^3 +(5+12*b+4*c+c^2-4*b*d)*x^2 +(6+12*b+2*c)*x +(4*b+1); print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: 0 2*x^4 (4*b + 2)*x^3 (12*b + 5)*x^2 (12*b + 6)*x f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(5 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6 ^---- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pcd595076.netvigator.com. (218.102.127.76) Time: Thu Mar 25 00:51:18 2004 Input: 108809 mod 291452 Output: Errors (if any) and Timing Info: *** unused characters: 108809mod291452 ^--------- Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:02:30 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.082s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:02:52 2004 Input: mod(x^6-1,x^2+2) Output: Errors (if any) and Timing Info: *** obsolete function: mod(x^6-1,x^2+2) ^---------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: mod(x,y) ===> Mod(x,y) Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 0: default, creates on the Pari stack, or 1: creates a permanent object on the heap. Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:03:07 2004 Input: Mod(x^6-1,x^2+2) Output: Mod(-9, x^2 + 2) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:03:29 2004 Input: Mod(x^2+3,x-4) Output: Mod(19, x - 4) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:04:16 2004 Input: 3+4 Output: 7 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:04:39 2004 Input: Mod(12*x^6,x-2) Output: Mod(768, x - 2) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:05:11 2004 Input: Mod(100,7) Output: Mod(2, 7) Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:05:33 2004 Input: Mod(x^5-1,x^2+x+1) Output: Mod(-x - 2, x^2 + x + 1) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:05:41 2004 Input: Mod(x^15-1,x^2+x+1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:05:53 2004 Input: Mod(x^5+x^3-1,x^2+x+1) Output: Mod(-x - 1, x^2 + x + 1) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:06:22 2004 Input: Mod((x-1)^7,x^3+x+1) Output: Mod(-12*x^2 + 14*x - 23, x^3 + x + 1) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:06:43 2004 Input: Mod((x-1)^561,x^6-1) Output: Mod(1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^5 - 1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^4 + 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442325*x^3 - 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x^2 + 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x - 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442325, x^6 - 1) Errors (if any) and Timing Info: Timing: real 0m0.096s user 0m0.090s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:08:54 2004 Input: Mod( 1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126 , 561 ). Output: Errors (if any) and Timing Info: *** unknown member function: ...7220958989086813126,561). ^ Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:17:53 2004 Input: Mod( (x^561-1) - (x-1)^561 , x^6 - 1 ) Output: Mod(-1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^5 + 1257987474940513784080518193662756316602353459381221545985014188854712494896352201151397170568271839063059295144213894687511224041378500967440190415057220958989086813126*x^4 - 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442324*x^3 + 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x^2 - 1257987474940513784080518193662756277342260687563072072932456677975703613365080366906020646216834005964586288209628668579002499045238027454267432419231243070110510071525*x + 1257987474940513784080518193662756296972307073472146809458735433415208054130716284028708908392552922513822791676921281633256861543308264210853811417144232014549798442324, x^6 - 1) Errors (if any) and Timing Info: Timing: real 0m0.095s user 0m0.080s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:19:48 2004 Input: Mod( (x^561-1) - (x-1)^561 , x^2 - 1 ) Output: Mod(-3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326975*x + 3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326975, x^2 - 1) Errors (if any) and Timing Info: Timing: real 0m0.094s user 0m0.080s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Mar 25 18:23:26 2004 Input: Mod( (x^561-1) - (x-1)^561 , x^3 - 1 ) Output: Mod(-39260092771818149473052557510879008881531271834245376524351437833098473006934585226108508724996140473513172757995825977888878576741601*x^2 + 39260092771818149473052557510879008881531271834245376524351437833098473006934585226108508724996140473513172757995825977888878576741601*x, x^3 - 1) Errors (if any) and Timing Info: Timing: real 0m0.096s user 0m0.080s sys 0m0.010s ************** PARI ***************** Host a212-113-164-105.netcabo.pt. (212.113.164.105) Time: Thu Mar 25 19:08:19 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host a212-113-164-105.netcabo.pt. (212.113.164.105) Time: Thu Mar 25 19:11:47 2004 Input: /* * An implementation of the Number Field Sieve as described in * "Factoring Integers with the Number Field Sieve" by J.P. Buhler, * H.W. Lenstra, and Carl Pomerance. (Algorithm 11.1) * * This code is not at all optimized - it is demonstration of the * Magma computer algebra package, and to for people who want to * learn the Number Field Sieve algorithm or how to code it. Note * that the algebraic square root code is available only for the * most recent release of Magma. * * This code is best demonstrated for numbers around 20-digits. * Larger numbers will cause the program to take up too much memory, * and numbers that are too small do not work well with this algorithm. * * "print" statements that can be ommitted are left justified. * * by Contini - Fri March 3rd, 2000. */ function SelectPolynomial(n); /* select a degree according to the asymptotic formula */ d := Round( Root( 3 * Log(n)/Log(Log(n)) , 3 ) ); print "degree ", d; m := Iroot( n, d ); print "m := ", m, ";"; coeffs := []; for i := d to 0 by -1 do temp2 := m^i; coeff := n div temp2; /* Append (~coeffs, coeff); */ coeffs[i+1] := coeff; n -:= coeff*temp2; end for; P := PolynomialRing( IntegerRing() ); f := P!coeffs; return f, m, d; end function; procedure RationalSieve( ~sieve_array, y, FB, log_primes, ~prev_roots, m_mod_p, sieve_len); /* * RATIONAL SIEVE */ sieve_array := [0 : i in [1..sieve_len]]; for i in [1..#FB] do p := FB[i]; logp := log_primes[i]; /* * Compute loc - the first location in the sieve array * where p divides the corresponding residue */ loc := prev_roots[i] - m_mod_p[i]; if loc lt 0 then loc +:= p; end if; prev_roots[i] := loc; /* sieve begins at location 1, so skip location 0 */ if loc eq 0 then loc := p; end if; /* MAIN SIEVE LOOP */ while loc le sieve_len do sieve_array[loc] +:= logp; loc +:= p; end while; end for; end procedure; procedure AlgebraicSieve( ~nf_sieve_array, y, ~nf_prev_roots, log_primes, R_p_set, sieve_len ); /* * NUMBER FIELD SIEVE */ nf_sieve_array := [0 : i in [1..sieve_len]]; for i in [1..#R_p_set] do R_p := R_p_set[i]; p := R_p[1]; r := R_p[2]; logp := R_p[3]; loc := nf_prev_roots[i] - r; if loc lt 0 then loc +:= p; end if; nf_prev_roots[i] := loc; if loc eq 0 then loc := p; end if; /* MAIN SIEVE LOOP */ while loc le sieve_len do nf_sieve_array[loc] +:= logp; loc +:= p; end while; end for; end procedure; procedure ScanSieveArray( J, b, bm, y, d, sieve_array, nf_sieve_array, error_term, ~num_rels, sieve_len, ~M, FB, prev_roots, nf_prev_roots, R_p_set, enough_rels, ~smooth_alg_elts, char_cols, char_offset ); /* scan sieve array */ threshold := Round( Log( bm ) ) - error_term; zero := [0: i in [1..d]]; x := zero; x[1] := 1; x[2] := b; nf_threshold := Round( Log( Abs( Norm( J!x ) ) ) ) - error_term; for a in [1..sieve_len] do if sieve_array[a] ge threshold then /* rational side appears to be smooth */ if nf_sieve_array[a] ge nf_threshold then /* number field side appears to be smooth */ if Gcd(b, a) ne 1 then /* relation is redundant */ continue; end if; /* see if it really is smooth */ relation := []; rational_side := a + bm; for i in [1..#FB] do p := FB[i]; if a mod p eq prev_roots[i] then e := 0; quot, rem := Quotrem( rational_side, p ); repeat rational_side := quot; e +:= 1; quot, rem := Quotrem( rational_side, p ); until rem ne 0; Append( ~relation, [i, e] ); end if; end for; if Abs(rational_side) ne 1 then /* rational side is not smooth :-( */ continue; end if; /* try algebraic side */ x := zero; x[1] := a; x[2] := b; alg_elt := J!x; norm := IntegerRing()!Norm(alg_elt); for i in [1..#R_p_set] do R_p := R_p_set[i]; p := R_p[1]; if a mod p eq nf_prev_roots[i] then e := 0; quot, rem := Quotrem( norm, p ); repeat norm := quot; e +:= 1; quot, rem := Quotrem( norm, p ); until rem ne 0; Append( ~relation, [i+#FB, e] ); end if; end for; if Abs(norm) ne 1 then /* algebraic side is not smooth :-( */ continue; end if; /* The relation is a keeper! */ print "a := ", a, "; b:= ", b,";"; num_rels +:= 1; /* Compute the character columns corresponding to alg_elt */ for i in [1..#char_cols] do p := char_cols[i][1]; r := char_cols[i][2]; if LegendreSymbol( (a + b*r) mod p, p ) eq -1 then M[num_rels, i + char_offset] := 1; end if; end for; /* store the algebraic element */ Append( ~smooth_alg_elts, alg_elt ); /* store relation in matrix */ for j in [1..#relation] do M[num_rels, relation[j, 1]] := relation[j, 2]; end for; if num_rels eq enough_rels then break; end if; /* update the nf_threshold - since the norms grow somewhat quickly, we waste a lot of time on false reports if this update is not made */ x := zero; x[1] := a; x[2] := b; nf_threshold := Round( Log( Abs( Norm( J!x ) ) ) ); nf_threshold -:= error_term; end if; end if; end for; end procedure; function NFS( n ) f, m, d := SelectPolynomial(n); fprime := Derivative( f ); J := NumberField( f ); /* choose y - the bound for smoothness */ dlogd := d*Log(d); temp := 1.0/d * Log( n ); e := dlogd + Sqrt( dlogd^2 + 4*temp*Log(temp) ); y := Round( Exp( 0.5*e ) ); print "smoothness bound is ", y; /* prepare data for rational sieve */ FB := [p : p in [2..y] | IsPrime( p ) ]; log_primes := [Round(Log(p)) : p in FB]; prev_roots := [0: p in FB]; m_mod_p := [m mod p: p in FB]; /* prepare data for the algebraic sieve */ cols := #FB; R_p_set := []; nf_prev_roots := []; for p in FB do K := GF(p); roots_mod_p := Roots( f, K ); for i in [1..#roots_mod_p] do r := IntegerRing()!roots_mod_p[i][1]; /* also include the rounded logarithm of p in the storage */ Append( ~R_p_set, [p, r, Round(Log(p))] ); Append( ~nf_prev_roots, 0 ); cols +:= 1; end for; end for; smooth_alg_elts := []; /* create the character columns */ char_offset := cols; num_char_cols := 3 * Ilog2( n ); char_cols := []; p := NextPrime( y ); i := 0; repeat K := GF(p); roots_mod_p := Roots( f, K ); for j in [1..#roots_mod_p] do r := IntegerRing()!roots_mod_p[j][1]; Append( ~char_cols, [p, r] ); i +:= 1; if i eq num_char_cols then break; end if; end for; p := NextPrime( p ); until i eq num_char_cols; cols +:= num_char_cols; enough_rels := cols+50; print "will quit after", enough_rels," relations"; /* allow for an error in the sieve threshold */ error_term := 3; /* set up matrix */ M := RMatrixSpace (IntegerRing(), enough_rels, cols)!0; num_rels := 0; b := 1; /* bm = b*m */ bm := m; sieve_len := y * 25; while true do RationalSieve( ~sieve_array, y, FB, log_primes, ~prev_roots, m_mod_p, sieve_len ); AlgebraicSieve( ~nf_sieve_array, y, ~nf_prev_roots, log_primes, R_p_set, sieve_len ); ScanSieveArray( J, b, bm, y, d, sieve_array, nf_sieve_array, error_term, ~num_rels, sieve_len, ~M, FB, prev_roots, nf_prev_roots, R_p_set, enough_rels, ~smooth_alg_elts, char_cols, char_offset ); bm +:= m; b +:= 1; print "Number of relations: ", num_rels; if num_rels ge enough_rels then break; end if; end while; print "matrix size: ",num_rels," by ", cols; print "finding null space"; gf2 := GF(2); Mprime := RMatrixSpace (gf2, num_rels, cols)!M; time null_space := NullSpace( Mprime ); /* "free" Mprime */ Mprime := 0; for j in [1..Dimension(null_space)] do print "trying null space vector #",j; /* get the first element of the solution vector */ soln := ChangeUniverse (Eltseq (null_space.j), IntegerRing()); /* compute the exponents of a relation that involves an algebraic square and an integer square */ exps := RSpace(IntegerRing(), cols)!0; for i in [1..num_rels] do if soln[i] eq 1 then exps +:= M[i]; end if; end for; /* compute the square root x of the integer element of the relation */ x := 1; for i in [1..#FB] do e := exps[i]; if e gt 0 then x := (x * ( FB[i]^(e div 2) ) ) mod n; end if; end for; x := ( x * Evaluate( fprime, m ) ) mod n; print x,"^2 mod n = ", x^2 mod n; list := []; for i in [1..num_rels] do if soln[i] eq 1 then Append( ~list, smooth_alg_elts[i] ); end if; end for; Append( ~list, Evaluate( fprime, alpha )^2 ); /* Compute the square root beta of the algebraic element */ ok, l := Root(2, list, []); if ok eq false then print "Element is not a square... continuing!"; continue; end if; /* map the sqrt to an integer v modulo n */ v := 1; for i in [1..#l] do list := l[i]; prod_list := 1; for j in [1..#list] do seq := Eltseq( list[j] ); elt := 0; for k in [0..d-1] do num := Numerator( seq[k+1] ) mod n; den := Denominator( seq[k+1] ) mod n; elt +:= ( ( num * Modinv( den, n ) mod n) * Modexp( m, k, n ) ) mod n; end for; prod_list := (prod_list * elt) mod n; end for; v := v * Modexp( Modinv( prod_list, n ), 2^(i-1), n ) mod n; end for; print v,"^2 mod n = ", v^2 mod n; gcd := Gcd(x-v, n); print "Gcd of ",x-v," and ",v," is ", gcd; if gcd ne 1 and gcd ne n then print "FACTOR: ", gcd; return gcd; end if; end for; print "no factor found :-( "; return 0; end function; Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed. ************** PARI ***************** Host 80.58.32.42.proxycache.rima-tde.net. (80.58.32.42) Time: Fri Mar 26 10:40:53 2004 Input: /*1*/ /*(i)*/ print "Exercici 1"; print "apartat (i)"; G2:=GF(2); G3:=GF(3); G5:=GF(5); elements := procedure (cos,numelementos) for i:=0 to (numelementos-1) do cos!i; end for; end procedure; print "elements de G2"; elements(G2,2); print "elements de G3"; elements(G3,3); print "elements de G5"; elements(G5,5); /*(ii)*/ print "apartat (ii)"; Z9:=Integers(9); /* Z9 no es un cos pq te elements no invertibles a part del zero. Són aquests:*/ for i:=0 to 8 do if(IsInvertible(Z9!i) eq false) then Z9!i; end if; end for; /*(iii)*/ print "apartat (iii)"; Output: Errors (if any) and Timing Info: *** unused characters: print"Exercici 1"; ^------------- *** unused characters: print"apartat (i)"; ^-------------- *** unexpected character: G2:=GF(2); ^------- *** unexpected character: G3:=GF(3); ^------- *** unexpected character: G5:=GF(5); ^------- *** unexpected character: elements:=procedure(cos,numel ^-------------------- *** unused characters: print"elements de G2"; ^----------------- *** unknown function or error in formal parameters: elements(G2,2); ^--------------- *** unused characters: print"elements de G3"; ^----------------- *** unknown function or error in formal parameters: elements(G3,3); ^--------------- *** unused characters: print"elements de G5"; ^----------------- *** unknown function or error in formal parameters: elements(G5,5); ^--------------- *** unused characters: print"apartat (ii)"; ^--------------- *** unexpected character: Z9:=Integers(9); ^------------- *** unexpected character: fori:=0to8doif(IsInvertib ^-------------------- *** unused characters: print"apartat (iii)"; ^---------------- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (194.27.14.157) Time: Fri Mar 26 10:55:51 2004 Input: K=[11,7;8 13] Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: K=[11,7;813] ^- Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (194.27.14.157) Time: Fri Mar 26 10:56:03 2004 Input: K=[11,7;8, 13] Output: [11 7] [8 13] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (194.27.14.157) Time: Fri Mar 26 10:56:20 2004 Input: K=[11,7;8, 13] K^-1 Output: [11 7] [8 13] [13/87 -7/87] [-8/87 11/87] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (206.81.131.14) Time: Fri Mar 26 11:49:15 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (206.81.131.14) Time: Fri Mar 26 11:49:39 2004 Input: 2^31-1 Output: 2147483647 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (206.81.131.14) Time: Fri Mar 26 11:51:08 2004 Input: 2^ 4253-1 Output: 190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (206.81.131.14) Time: Fri Mar 26 11:52:05 2004 Input: 2^20,996,011-1 Output: Errors (if any) and Timing Info: *** unused characters: 2^20,996,011-1 ^---------- Timing: real 0m0.053s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (206.81.131.14) Time: Fri Mar 26 11:52:53 2004 Input: 2^20996011-1 Output: Errors (if any) and Timing Info: Timing: real 0m21.426s user 0m20.590s sys 0m0.430s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Mar 26 12:21:24 2004 Input: Mod((x^11-1)-(x-1)^11 , x^7-1 ) Output: Mod(462*x^6 - 462*x^5 + 330*x^4 - 154*x^3 + 154*x - 330, x^7 - 1) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Mar 26 12:22:17 2004 Input: Mod(462*x^6 - 462*x^5 + 330*x^4 - 154*x^3 + 154*x - 330 , 11) Output: Errors (if any) and Timing Info: *** forbidden division t_POL % t_INT. Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Mar 26 12:29:42 2004 Input: Mod( (x^2701-1)-(x-1)^2701, x^144-1 ) Output: Mod(-1951427506240456910477035477358610765567461669950164576329989600435457248672692038588278468235943476404788816771745707666411419351048152394875252282146304452046260075640202657563331437290243806284849083714627883587124175131052502825329217380952835595278341418034281473723642856861134104613990172740057075315150390181297787714819269667252985774468756148831512492776064014866133043938852567761811324597651277094230598285939063204984411018120954070301019786675006321320055246084062530389114162476148528292130444369880784934211240977400174500463420090073790753040738754177587171537012383629021167389437988634326546077157641007951339206874899600280251492615349876875872781676976791595284785837914442127072111514662748597315377622438294047043963794337690499109764767919334613329651880568353591462002851779006231425600*x^143 + 1808362570289682700273349247786612956260965231543030532887468005576621478012758859393159763637208097449285377677290342452341625833568654368524218366932340014746535410823599558734343352084148970285410669989644418361059916246190032485937156274178260133480060978946055491940443818364053391611354707984960596731708885104978354495194781413847266709465009760045617218853005259975653026150107941633106229531754267388874654958782859744186984086815827460082913058492345921281670568735836191976040010600423494047292755087231176318824656677988352277323808475195310273064009434269454601575231461812486731955642991442762137312205564804405261949346933336923912077695954706455795588160984147007073083020781156591341077395643048633252296762725252277646133201787663436449738791015620463997848102397589420383428030845045983346240*x^142 - 1675908635232423057694880195250439164984496679343267951983931015816502060435421946972904007904416237889110929175302814476663056924640151055705108878219070781926542988230893684041382219646009842726035079070921173017223882107618581382597499471551707575774622507575295079361418402096617588979509887148794185814037302094687330297007329916257873116607067878645231323374697010904099817688205966659144673884752342203115574653018405088168723145005574274051780336972880601793176215444549911554832683743570014309604164999803127445964595835536495151098371832030654342716776086969444645963523094562938710477234549237964151320188784639242303015112444721795750433683252352365303840676373316014336149058750407792925925337884852239393923125908201215797943660706756579375860487868803451929323341882881547488618684256611004431895*x^141 + 1553794528354727149530533870492919400304687681719873016001882679168594484825764325110181270322508984501535913144506460123005525246622032513161514377303556410848124059701376512966386072172141236255609861803181547585596737996916658252522218689816184886166582577482339798389590819970504841474599894903804349022300774655679061188006196910832228057962869422196254452842156349264027452457714332956898959445395110289091877899385691568509048208947480622723186172620600089455434562090211924919678726822845838907363969929996748578334718307274631099507107543242855365646101298364697933891290910094465160368154133543053003376830961204655413497924634070688972858716229324763893001213778253053398061678689322539196093627916478572065831999223937393770549742247513624263477529117646546255380970303454495299237188172431683420075*x^140 - 1441750027476153723169439149401130009165685151293724237683777670384541234171275961753964796507611578268823462176096148574358162988397518897984485709884937059081621586317625400569115591562246642408140082024451518222238642359487923878072913938174045552200776869910506199008938266850134503513967118866531562344684873542819739239531567203145181217991865077845559643281023474474148338766897180411188680928799294133063208587846531417833403357262205375626146456614883928038638902360445048465155902545410482156753460439919294979009786117360552692852583199651513302527504889664846448503391895895275603843438237900694447141413641796185263465084991046857754441115653885361640426674819085526162057483516506758648107608249573642919191790297495893870056056103002890644529344396936592532052805643712278925084692348473787476610*x^139 + 1339509304967425322322942325518865034407046064172613586340648546615920612924251245247646581234536463645802386987105060246937869363223620681716685552097721884828067053008495012111271526989670446556741113657429646453608037861308160586850666820475456818729086862062953690224399669938170718982598717483537045788570485816227536790216606314669357208625092726764083880572014937173382921626415869687476760718405556112871198539323501062237102871214222316747935675167656801144960933220519170178634425010138564529638431347425760248537183232485780561109188373613684229766882919261953041231792295393668449431546746044376952321962759658405475125048825533808531350080342232488379346161092281738227529546536452227502861607797004536665605532873067006671564720551151244212990802120716649050503006792170491666881229781507489937970*x^138 - 1246814167058368341136787933306320051008661873437019901475874754780503798913471696975471929417462769194209999963963692784971073005841533609420150124418375753687031589313562068596913260813096585895332693071305666279260889055337657146071061572356141560225485416742226984875319621216289461099282512025597100749524041035453547114136047421628535479410955298241819837398902640841098271223103215891501323020125478388431652296905423236316267867753239231045667616811912719228007370769728068674960598427749145558218742382714776770314988648157305582500653440360182309452505818610181578097689261012708406318314582169587225962616315361960356310424484434350735000326855328751204788915403370973824839605879544204629941024580757136971080309157446023854861913556594625001347815254316437625672701135502321047285882916594320496605*x^137 + 1163417076446157645768798102900919413171746049619595904010005545942746265187021652012640322108518989436938919936479062728382895717281510520823627761830734450181102358396476935070929169653159175004546475972812846624424807029578974670608255665393587399761354386962211844301145311041162717748160013064013677188563445176366219038085063129843749383723578256390466532689520675879733092597662887085396657561128878392838427711563173704597446932945292138139509632697847028342447574785111207860370669349044000223303937557709428322195043955964950850304328825649651248928757985949943660196794301148247151512371356515267872780374857308488936469652826814671195623016328394898580943372691104523686229964511151700099844612727781059362084696574049943159298671014640181639054373371209007077499865441557022573387623546077810492225*x^136 - 1089083948119104267229264412448136412549366086985704287811097204398954748092880568332183715623066403599253180694494888548436630479210552361775474186878176506017754481247962706443761109992104743074797951771082474498564418639565116218181092947803582908363224247423980860994047266287211424563898647914250177547635768175367339563893558779699238989605280941099972182811369331092028606399458508803714367717615276242740961528249372634158948773559458466447880767696502289977864670207143451701068806077656097139432888727033919797780005230554113317823355772523984962733232354319140561158551806613016732036905586852729863405624091218877445149349732308333705676483418506675516930914083383902682597822720948107133129808433563285959176433278945665601111862459454294543506604850593908159310609464831474910283944988434995556780*x^135 + 1023596710034957559696547937135998992542134191607880724697769027445128721196820979816704640716175849701858655170932491066450676415100468184654902279142521343370616743199014560750243270058143323679837065841838084501960353653988016259685963492498157144893947873482081507113927132083301079481061575613788529147558822246444949534550476605090333807735908960021318190367685011414787932646560314123634050268090869094119623099549550798478524108437911044647530152106847487610982438508215919269595439946218020585061550066394934467130168928950264106303048431445357027874162349107717444021294245481073511078936600828700190965635844393425108743623225306703363353579436991905136772969484704882163847699739877367072846372687295916417576526869374133431732675326951667498525822816603832607335765226577258686603280966454979047340*x^134 - 966755621828339444607715648924399200805166864650978647882575639200063619845982909038606181921560129819283913814095603689576475369073017215722161167580112411765350914847103443213854827918862019343888425344484602028800010086957613249369305526127066092688753576345383584824034515665133711218897065472340090866258846078895816124502480617635653767453960220570672516793567805450118324860064001457990409933302841422480655697749148450546870686094210344617401962337404633813689861108481907990324109216795641728379800246535572705381952725608679597310810244423635576626594316211452262778645466919297914191030474166819498167282948140262411949055567554388562572045300624896550706449650306319549726667850762550752331378219135936988569083217587061646386957486757038875181734455994689900336587837244063397805488126535686752945*x^133 + 918381346067979574123406498707828084758238540868185006819002861277097384450696936583891839601962291537094229293582276394286638297012849605410840774499220441007434456345799172913183290334187210857987641299393627988784907093153491448334759659233587648536028285660493726437602732627798538798482171692802364609192284921744609756117901771798831793651064491095932699052872134630010869982495330266016002786888140782197950363673785076210209731572187112718283951507586050246709518257795543034132465424968715884784804454215392966288547644063151220646045152098376356425171857063068366583815576002049953326546160062577529465920827313665687222156057964805899806515328761510198605613730369905006371578009012159512486798251650402811525904363733525406002144238737453309603318493079782714587696013768812742320052408762224702605*x^132 - 8783167677442568823793151553643442805119280657500944317857581247550093569513575611876355775249638267375952517921654671734995582269484359542990454882914120427 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m4.739s user 0m4.460s sys 0m0.140s ************** PARI ***************** Host 3(NXDOMAIN) (202.141.69.153) Time: Sat Mar 27 03:52:28 2004 Input: (2+3)*(3-7) Output: -20 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (221.14.48.9) Time: Sat Mar 27 21:01:09 2004 Input: >Q:=QuadraticField(-19019); >Q:=QuadraticForms(Discriminant(Q)); >C,m:=ClassGroup(Q); >C; Output: Errors (if any) and Timing Info: *** unexpected character: >Q:=QuadraticFiel ^-------------------- *** unexpected character: >Q:=QuadraticForms(D ^-------------------- *** unexpected character: >C,m:=ClassGroup(Q); ^-------------------- *** unexpected character: >C; ^--- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host evrtwa1-ar16-4-41-036-156.evrtwa1.dsl-verizon.net. (4.41.36.156) Time: Sun Mar 28 01:07:26 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host67-168.pool8249.interbusiness.it. (82.49.168.67) Time: Sun Mar 28 10:51:52 2004 Input: factor((10^100+269)/3) Output: Errors (if any) and Timing Info: Timing: real 0m21.027s user 0m20.970s sys 0m0.030s ************** PARI ***************** Host proxy03.rivm.nl. (131.224.251.67) Time: Mon Mar 29 05:18:55 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host proxy03.rivm.nl. (131.224.251.67) Time: Mon Mar 29 05:18:57 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host proxy03.rivm.nl. (131.224.251.67) Time: Mon Mar 29 05:19:17 2004 Input: next_prime(10^177) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: next_prime(10^177) ^------------------ Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (80.90.160.162) Time: Mon Mar 29 06:10:42 2004 Input: gcd(879,4355) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cp50241-a.dbsch1.nb.home.nl. (213.51.48.217) Time: Mon Mar 29 06:55:09 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.000s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:54:34 2004 Input: 1000! Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.070s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:55:10 2004 Input: factor(2^150-1) Output: [3 2] [7 1] [11 1] [31 1] [151 1] [251 1] [331 1] [601 1] [1801 1] [4051 1] [100801 1] [10567201 1] [1133836730401 1] Errors (if any) and Timing Info: Timing: real 0m0.100s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:55:38 2004 Input: nextprime(150) Output: 151 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:55:58 2004 Input: factor(2^151-1) Output: [18121 1] [55871 1] [165799 1] [2332951 1] [7289088383388253664437433 1] Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:56:15 2004 Input: nextprime(152) Output: 157 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:56:32 2004 Input: factor(2^157-1) Output: [852133201 1] [60726444167 1] [1654058017289 1] [2134387368610417 1] Errors (if any) and Timing Info: Timing: real 0m1.110s user 0m1.000s sys 0m0.110s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:56:55 2004 Input: 2^(2^9)+1 Output: 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084097 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host hogan.u-bourgogne.fr. (193.52.234.176) Time: Mon Mar 29 09:57:42 2004 Input: factor(2^(2^9)+1) Output: Errors (if any) and Timing Info: Timing: real 0m21.028s user 0m20.910s sys 0m0.090s ************** PARI ***************** Host mack.math.TU-Berlin.DE. (130.149.14.45) Time: Mon Mar 29 13:57:22 2004 Input: a :=x^32+16 f := factorpadic(a,5) Output: Errors (if any) and Timing Info: *** unexpected character: a:=x^32+16 ^-------- *** unexpected character: f:=factorpadic(a,5) ^----------------- Timing: real 0m0.052s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host mack.math.TU-Berlin.DE. (130.149.14.45) Time: Mon Mar 29 13:57:40 2004 Input: a =x^32+16 f = factorpadic(a,5) Output: x^32 + 16 Errors (if any) and Timing Info: *** expected character: ',' instead of: f=factorpadic(a,5) ^- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host mack.math.TU-Berlin.DE. (130.149.14.45) Time: Mon Mar 29 13:58:01 2004 Input: a =x^32+16 f = factorpadic(a,5,32) Output: x^32 + 16 [(1 + O(5^32))*x^16 + (2 + 4*5 + 4*5^3 + 5^4 + 5^5 + 3*5^6 + 2*5^8 + 2*5^9 + 4*5^10 + 4*5^11 + 2*5^12 + 3*5^13 + 2*5^14 + 5^15 + 4*5^16 + 5^17 + 5^18 + 3*5^19 + 4*5^20 + 5^22 + 3*5^23 + 2*5^24 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 4*5^30 + 5^31 + O(5^32)) 1] [(1 + O(5^32))*x^16 + (3 + 4*5^2 + 3*5^4 + 3*5^5 + 5^6 + 4*5^7 + 2*5^8 + 2*5^9 + 2*5^12 + 5^13 + 2*5^14 + 3*5^15 + 3*5^17 + 3*5^18 + 5^19 + 4*5^21 + 3*5^22 + 5^23 + 2*5^24 + 4*5^25 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 3*5^31 + O(5^32)) 1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host mack.math.TU-Berlin.DE. (130.149.14.45) Time: Mon Mar 29 13:58:18 2004 Input: a =x^32+16 f = factorpadic(a,5,32) f[1] Output: x^32 + 16 [(1 + O(5^32))*x^16 + (2 + 4*5 + 4*5^3 + 5^4 + 5^5 + 3*5^6 + 2*5^8 + 2*5^9 + 4*5^10 + 4*5^11 + 2*5^12 + 3*5^13 + 2*5^14 + 5^15 + 4*5^16 + 5^17 + 5^18 + 3*5^19 + 4*5^20 + 5^22 + 3*5^23 + 2*5^24 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 4*5^30 + 5^31 + O(5^32)) 1] [(1 + O(5^32))*x^16 + (3 + 4*5^2 + 3*5^4 + 3*5^5 + 5^6 + 4*5^7 + 2*5^8 + 2*5^9 + 2*5^12 + 5^13 + 2*5^14 + 3*5^15 + 3*5^17 + 3*5^18 + 5^19 + 4*5^21 + 3*5^22 + 5^23 + 2*5^24 + 4*5^25 + 2*5^26 + 2*5^27 + 2*5^28 + 2*5^29 + 3*5^31 + O(5^32)) 1] Errors (if any) and Timing Info: *** expected character: ',' instead of: f[1] ^- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host mack.math.TU-Berlin.DE. (130.149.14.45) Time: Mon Mar 29 14:28:53 2004 Input: sadfsadf Output: sadfsadf Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host TCNJ-17-43.TCNJ.EDU. (159.91.17.43) Time: Mon Mar 29 17:48:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.229s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host wbar16.tmp1-4-8-090-037.tmp1.dsl-verizon.net. (4.8.90.37) Time: Mon Mar 29 23:56:44 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:05:40 2004 Input: factor(x^2+2a+4) ; Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: factor(x^2+2a+4) ^---- Timing: real 0m0.066s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:05:55 2004 Input: factor(x^2+2a+4) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: factor(x^2+2a+4) ^---- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:07:57 2004 Input: factor(27) Output: [3 3] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:08:30 2004 Input: factor(x^2 +6x + 9) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: factor(x^2+6x+9) ^---- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:08:40 2004 Input: factor(x^2 + 6x + 9) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: factor(x^2+6x+9) ^---- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:09:12 2004 Input: factor(t^2 + 5/2*t + 1) Output: [t + 2 1] [2*t + 1 1] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:09:45 2004 Input: factor(x^2 + 2*x + 1) Output: [x + 1 2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:10:21 2004 Input: factor(4*x^3 + 30*x^2 + 144*x + 162) Output: [2*x + 3 1] [x^2 + 6*x + 27 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Rete14.retevision.es. (62.81.27.254) Time: Tue Mar 30 08:41:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host213-52-168-66.wmrc.com. (213.52.168.66) Time: Tue Mar 30 08:58:43 2004 Input: factor(x^199-1) Output: [x - 1 1] [x^198 + x^197 + x^196 + x^195 + x^194 + x^193 + x^192 + x^191 + x^190 + x^189 + x^188 + x^187 + x^186 + x^185 + x^184 + x^183 + x^182 + x^181 + x^180 + x^179 + x^178 + x^177 + x^176 + x^175 + x^174 + x^173 + x^172 + x^171 + x^170 + x^169 + x^168 + x^167 + x^166 + x^165 + x^164 + x^163 + x^162 + x^161 + x^160 + x^159 + x^158 + x^157 + x^156 + x^155 + x^154 + x^153 + x^152 + x^151 + x^150 + x^149 + x^148 + x^147 + x^146 + x^145 + x^144 + x^143 + x^142 + x^141 + x^140 + x^139 + x^138 + x^137 + x^136 + x^135 + x^134 + x^133 + x^132 + x^131 + x^130 + x^129 + x^128 + x^127 + x^126 + x^125 + x^124 + x^123 + x^122 + x^121 + x^120 + x^119 + x^118 + x^117 + x^116 + x^115 + x^114 + x^113 + x^112 + x^111 + x^110 + x^109 + x^108 + x^107 + x^106 + x^105 + x^104 + x^103 + x^102 + x^101 + x^100 + x^99 + x^98 + x^97 + x^96 + x^95 + x^94 + x^93 + x^92 + x^91 + x^90 + x^89 + x^88 + x^87 + x^86 + x^85 + x^84 + x^83 + x^82 + x^81 + x^80 + x^79 + x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 + x^43 + x^42 + x^41 + x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + x^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 1] Errors (if any) and Timing Info: Timing: real 0m0.384s user 0m0.360s sys 0m0.020s ************** PARI ***************** Host dumbo.mat.ub.es. (161.116.84.30) Time: Tue Mar 30 11:16:14 2004 Input: S4:=Sym({"1","2","3","4"}); Subgroups(S4); Output: Errors (if any) and Timing Info: *** unexpected character: S4:=Sym({"1","2","3","4 ^-------------------- *** expected character: '=' instead of: Subgroups(S4); ^- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host MathD02.Math.McGill.CA. (132.206.150.202) Time: Tue Mar 30 12:28:01 2004 Input: E:=EllipticCurve([0,0,1,-1,0]); Output: Errors (if any) and Timing Info: *** unexpected character: E:=EllipticCurve([0,0, ^-------------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12) Time: Tue Mar 30 14:35:45 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12) Time: Tue Mar 30 15:39:25 2004 Input: G:=Gamma0(16); C:=CosetRepresentatives(G); H:=UpperHalfPlaneWithCusps(); Edge1:=[H|0,2]; Edge2:=[H|i,1/2*(i+1)]; point:=GeodesicsIntersection(Edge1,Edge2,H)[1]; triangle1:=[H|Infinity(),i,r]; triangle3:=[H|i,point,r]; triangle2:=[H|0,i,point]; Par:=Parent(triangle1); t:=G![1,1,0,1]; Polygons:=[Par|g*tri : g in C,tri in [triangle1,triangle2,triangle3]]; Polygons2:=[Par|t*g*tri : g in C,tri in [triangle3]]; Polygons3:=[Par|t^(-1)*g*tri : g in C,tri in [triangle3]]; purple:=[0.5,0,0.8]; blue:=[0.6,0.6,0.9]; yellow:=[1,0.8,0]; Colours:=[blue : i in C] cat [purple : i in C] cat [yellow : i in C] cat [purple : i in C] cat [yellow : i in C]; DisplayPolygons(Polygons cat Polygons2 cat Polygons3,"/tmp/pic.ps":Show:=true, Colours:=Colours,Size:=[-1,2,1.5,150]); Output: Errors (if any) and Timing Info: *** unexpected character: G:=Gamma0(16); ^------------ *** unexpected character: C:=CosetRepresentative ^-------------------- *** unused characters: H:=UpperHalfPlaneW ^-------------------- *** unexpected character: Edge1:=[H|0,2]; ^--------- *** unexpected character: Edge2:=[H|i,1/2*(i+1)]; ^----------------- *** unexpected character: point:=GeodesicsIntersecti ^-------------------- *** unexpected character: triangle1:=[H|Infinity(),i,r]; ^-------------------- *** unexpected character: triangle3:=[H|i,point,r]; ^--------------- *** unexpected character: triangle2:=[H|0,i,point]; ^--------------- *** unexpected character: Par:=Parent(triangle1); ^------------------- *** unexpected character: t:=G![1,1,0,1]; ^------------- *** unexpected character: Polygons:=[Par|g*tri:ginC,tri ^-------------------- *** unexpected character: Polygons2:=[Par|t*g*tri:ginC,t ^-------------------- *** unexpected character: Polygons3:=[Par|t^(-1)*g*tri:g ^-------------------- *** unexpected character: purple:=[0.5,0,0.8]; ^------------- *** unexpected character: blue:=[0.6,0.6,0.9]; ^--------------- *** unexpected character: yellow:=[1,0.8,0]; ^----------- *** unexpected character: Colours:=[blue:iinC]cat[purp ^-------------------- *** expected character: ']' instead of: cat[purple:iinC]cat[yellow:iin ^-------------------- *** expected character: ',' instead of: ...s(PolygonscatPolygons2cat ^ *** unused characters: Polygons3,"/tmp/pic.ps":Show: ^-------------------- *** unexpected character: Colours:=Colours,Size:=[-1,2 ^-------------------- Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host noether.mathstat.concordia.ca. (132.205.67.6) Time: Tue Mar 30 16:13:55 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host hodge.math.temple.edu. (155.247.28.65) Time: Tue Mar 30 17:10:30 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:21:13 2004 Input: A=[[1 2][3 4]] Output: Errors (if any) and Timing Info: *** array index (34) out of allowed range [1]: A=[[12][34]] ^---- Timing: real 0m0.120s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:21:30 2004 Input: A=[1 2 3 4] Output: Errors (if any) and Timing Info: *** ; or ] expected: A=[12 ^ *** unused characters: 34] ^- Timing: real 0m0.056s user 0m0.050s sys 0m0.000s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:24:43 2004 Input: A=[[1, 2], [3, 4]] Output: [[1, 2], [3, 4]] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.060s sys 0m0.000s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:24:55 2004 Input: A=[[1, 2], [3, 4]] det(A) Output: [[1, 2], [3, 4]] Errors (if any) and Timing Info: *** obsolete function: det(A) ^------ For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: det(x) ===> matdet(x) matdet(x,{flag=0}): determinant of the matrix x using Gauss-Bareiss. If (optional) flag is set to 1, use classical gaussian elimination (slightly better for integer entries). Timing: real 0m0.074s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:25:09 2004 Input: A=[[1, 2], [3, 4]] matdet(A) Output: [[1, 2], [3, 4]] Errors (if any) and Timing Info: *** not a square matrix in det. Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:25:49 2004 Input: A=[1, 2; 3, 4] matdet(A) Output: [1 2] [3 4] -2 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:27:18 2004 Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1] matdet(A) Output: [1 1 3] [1 3 1] [3 1 1] -20 Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:27:37 2004 Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1] mateigen(A) Output: [1 1 3] [1 3 1] [3 1 1] [-1 1 1] [0 -2 1] [1 1 1] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:28:01 2004 Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1] charpoly(A) mateigen(A) Output: [1 1 3] [1 3 1] [3 1 1] x^3 - 5*x^2 - 4*x + 20 [-1 1 1] [0 -2 1] [1 1 1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:33:33 2004 Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1] charpoly(A) mateigen(A) Output: [1 1 3] [1 3 1] [3 1 1] x^3 - 5*x^2 - 4*x + 20 [-1 1 1] [0 -2 1] [1 1 1] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:33:58 2004 Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1] fact(charpoly(A)) mateigen(A) Output: [1 1 3] [1 3 1] [3 1 1] [-1 1 1] [0 -2 1] [1 1 1] Errors (if any) and Timing Info: *** obsolete function: fact(charpoly(A)) ^----------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: fact(x) ===> factorial(x) factorial(x): factorial of x (x C-integer), the result being given as a Timing: real number. Timing: real 0m0.062s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:34:21 2004 Input: A=[1, 1, 3; 1, 3, 1; 3, 1, 1] factor(charpoly(A)) mateigen(A) Output: [1 1 3] [1 3 1] [3 1 1] [x - 5 1] [x - 2 1] [x + 2 1] [-1 1 1] [0 -2 1] [1 1 1] Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:40:45 2004 Input: A=[1, 2, 5; 2, 5, 2; 5, 2, 1] factor(charpoly(A)) mateigen(A) Output: [1 2 5] [2 5 2] [5 2 1] [x + 4 1] [x^2 - 11*x + 22 1] [-1 1.000000000000000000000000000 1.000000000000000000000000000] [0 -1.686140661634507164962652867 1.186140661634507164962652867] [1 1 1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host d198-166-21-168.abhsia.telus.net. (198.166.21.168) Time: Wed Mar 31 12:41:27 2004 Input: A=[2, 2, 5; 2, 5, 2; 5, 2, 2] factor(charpoly(A)) mateigen(A) Output: [2 2 5] [2 5 2] [5 2 2] [x - 9 1] [x - 3 1] [x + 3 1] [-1 1 1] [0 -2 1] [1 1 1] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:18:53 2004 Input: contfrac(sqrt(7)) Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:04 2004 Input: contfrac(sqrt(2)) Output: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:10 2004 Input: contfrac(sqrt(3)) Output: [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:18 2004 Input: contfrac(sqrt(5)) Output: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:31 2004 Input: contfrac(sqrt(6)) Output: [2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:39 2004 Input: contfrac(sqrt(7)) Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:48 2004 Input: contfrac(sqrt(6 )) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: contfrac(sqrt(6 ^ *** unused characters: )) ^-- Timing: real 0m0.064s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:19:52 2004 Input: contfrac(sqrt(6)) Output: [2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:23:36 2004 Input: contfrac(sqrt(2)) Output: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:23:46 2004 Input: contfrac(sqrt(5)) Output: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:23:54 2004 Input: contfrac(sqrt(10)) Output: [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 14:24:00 2004 Input: contfrac(sqrt(11)) Output: [3, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Wed Mar 31 14:32:22 2004 Input: (x-1)^2701-(x^2701-1) Output: -2701*x^2700 + 3646350*x^2699 - 3280499550*x^2698 + 2212696946475*x^2697 - 1193528732928615*x^2696 + 536292243995924340*x^2695 - 206472513938430870900*x^2694 + 69529619068766595775575*x^2693 - 20804807128020938047069275*x^2692 + 5600654078863236522271048830*x^2691 - 1370123647838269952857399309230*x^2690 + 307136051057078847765533678485725*x^2689 - 63529910868652693972424620111393425*x^2688 + 12197742886781317242705527061387537600*x^2687 - 2185022342452093295409983414263220902080*x^2686 + 366810625739145161966950965669438208936680*x^2685 - 57934501771153221169486078989555387705587400*x^2684 + 8638677930765291423272257555998147811210921200*x^2683 - 1219872257275961941507340369618054240919942188400*x^2682 + 163584869700706496356134343565781073707364247464440*x^2681 - 20884335031790196034799817861898050409973502259626840*x^2680 + 2544091722054442062421068721358489777214953911627269600*x^2679 - 296331379277558708053306221935625831006907023010845880800*x^2678 + 33065643071054259173614752597650248976520708650960219532600*x^2677 - 3540669060048490072310667708156388660405837482344820307550808*x^2676 + 364416554026529208980897953347172925201770042413643813192537008*x^2675 - 36104232667443171630514889822358799070916106053944340751482833200*x^2674 + 3447954219740822890714171978035265311272488128151684541766610570600*x^2673 - 317806263081628261616516610251319454380391750570670785522143105352200*x^2672 + 28305944498470357167977746086384186070146891917494411297172212583369280*x^2671 - 2438876701787558838569953541830069709463301558439599115314418703554172480*x^2670 + 203493774805399440593180498646446441383344223782304051184046810577801266300*x^2669 - 16458329847139730513430265178405016728852901008332409473036998104004593325900*x^2668 + 1291494824475552970877410220470134842134692349712672602178315027690713382161800*x^2667 - 98411905625037136380858658799824274970663557048105652285987605110032359720729160*x^2666 + 7287948344343027933093588454453653251994140085840268583178970978426285305985109460*x^2665 - 524929252369572147072821979219432051799037387263900426328971828581244603795954505700*x^2664 + 36800303376645794731631519806330710157700936833448177256325814508958832224011126399600*x^2663 - 2512800202359173112059865057545094388460451148396730667528093436855317184936964861593200*x^2662 + 167226853467002970607584019579626031552043023925802425923994618222721358657555011539027460*x^2661 - 10853430660382802555775148197594752925853328943086835497164626319284427692384241114764684660*x^2660 + 687383941824244161865759385847667685304044166395499581487093000221347087184335270601763361800*x^2659 - 42505904681643377358164051324859264540080312521991474120329774129966555926119708942560204163400*x^2658 + 2567743060086547659500001100488089207898487970078484959359921355396616037536958781121023242416300*x^2657 - 151610962458887936250922287199930067230806278588856323044873578695306862483015544031967972335557980*x^2656 + 8753885136756659971357599887022049099239597302869617261025744022059457103367158368454498576592217280*x^2655 - 494501383789126217530945270213692348052790017853592209106879795288677842754038414218014760018134827200*x^2654 + 27341805678673770444315182232232072744418848070488202561867895347836479055608707319471066106002704820600*x^2653 - 1480363478888194142627922009430850795733534774102146967278276048118575080296528582011362007739289303858200*x^2652 + 78518478920229817324984983380212326205706684418377875144439761592209222258927875989882640890491904676638928*x^2651 - 4081421325833906778990886096881232877869184713590583274664898195704836239380741161748605509817530182309211728*x^2650 + 207995509874227941621650926091062829352948836365673955343499619588804154506903155358342396173393365059988674600*x^2649 - 10395851050128864478410439683306140282187952217597552975564726269636645382807291670646207687987151397054905641800*x^2648 + 509781732976689502570941560766567767911735138374042968135099910407367351364327932293910332551666238877803521101600*x^2647 - 24534404494350856605550587479074634212042962023201667939156535688150934164752291577854193641168373351082653097380640*x^2646 + 1159250612358077974612265258386276466519029955596278810125146311265131639284545777053610649545205640838655358851235240*x^2645 - 53793295959423091979814765060205285156891828641265920224228280584145143612414448777312283649948577544179709195816091400*x^2644 + 2452232319253700951631555841710047826807275774612191259876889204559995857090065561503684102939035155634675019202374925200*x^2643 - 109851695250636129070545798129485701800875082581356296607705392672068966954051581000919272611319829090549933487319947920400*x^2642 + 4837136314203010883406366644301687069298532802999055593959294123993436844876737950073811970651783140953882071224988373428280*x^2641 - 209424213210002487591413349304930418852744674306893538092565504614207650939663359444998974008055070086216435247626135970886680*x^2640 + 8917418110877525278085987776855101705987837744680628073618918260992067717430826918303182119052667500445344984737629015534529600*x^2639 - 373540736422314114426490821319374815906379425527177420417148020488223281052380194244477739875872849740877228805120682095168628800*x^2638 + 15396882229407259904016918541257980693141076945948344297819319969498953365877796131514566840508634025256783274811068115110231918350*x^2637 - 624639668291491451798347910666112232120200306253319752513069950147211385012611513827752503975711814224648269164258255685318177979830*x^2636 + 24947729782066234347582501401755633998012848595208346479158369524061351680200665915908418189090550640851103598742193363431798744770180*x^2635 - 981153253369321306057908823785464113205430687289164074217646323819427786228787383409234058630650760278248626607248947949892383469692900*x^2634 + 38005259843746945884654880027219301090928006328230267227783535543240776307744499527940036918134325037836865918874907777941419677340751450*x^2633 - 1450258683602691427743424624806788692353817980612033240735565928773231362583931409522697350803589533690209680643443944627822579861423167650*x^2632 + 54529726503461197683152765892735254832503556071012449851657278921873499233155820998053420390214966466751883992193492318006129002789511103640*x^2631 - 2020671977895864945132041226250513457243899380603292331826905645682382767358210775294064071079656010901749391316353215333438386004777517094040*x^2630 + 73810656970362844523573172569984033229881324597036928232010581224231481641001310264213729263048545953772234710583457726763096599896734304962850*x^2629 - 2658194755823067373321559872417644155635041128296028552355559151212391304577978694309834167569241470033797329508546717310413437823678280654073050*x^2628 + 94401835382473257528230531685318497851471460610296797778248776343056274978796324441165462059080629503362424080384605041780628575684142183228432100*x^2627 - 3306581620663429967022154756497755918077540360309995836846127139376117791590639257425888917722730849404441174122271432596769483577629886871214548356*x^2626 + 114251096524502198597370768296882987379889749818079592994183287736864280535750245921057688130788042243895559516382694499988377156248106354260650052406*x^2625 - 3894923745153484043092185282848283660678059652889077033892612081938555018264212929126966640822319621950984983513046403408694675781185443895249433604750*x^2624 + 131029229580547976013767874130690978533579852938217155601720693628291902152888393923450775198945726769222879445361971314671984990382443651040186074088000*x^2623 - 4350502141642751152963457390440537173336455117176501254978650371987464042367420977990017510719425839438881174496005705802336919364217084768081114839656000*x^2622 + 142587707692341169038377315971688605856102316465459828631925265941889133988592222553622823913829181887609330494106587007671592532162214953273858538869725400*x^2621 - 4613856566192916099377616606935751061096841622913212479558964469551745928198768090284511376273410934906469817593251414161817827491323029537417076918241361400*x^2620 + 147418343944212685126455555002093509513094207951617276785908376953970418681472834104212436656540690847011596610906325671999545219844711431561374896656004474000*x^2619 - 4651670395058952076460085524704613270057755790666092143401133002921066584659968102637739416909398425642450259324863457047792878684015653485051094630627418282000*x^2618 + 144977060646004006383005998853293780250133388809093205136001978591039908555235672532209545160342917599189699748958244411322878052318487866950759115987887869789000*x^2617 - 4463587855418735114168549399989056740171753864863493151069613858502958125753550059021086819819028415965640520506161477934493786622558620562472195371062383002797800*x^2616 + 135776114299714082077499130585713632933596605935847652130210579695857423918270778539525152565657887629838553507489749142751578439588527341760782128961618534131616800*x^2615 - 4081086653951176145202991108984381035877645109451052992189662826490427167198598688285727286887303174161239280713628666762015834707172402283959141002696924905220436000*x^2614 + 121226824016231527767734304078240591224820049046648324108906575323249734262012920127032853726402392014289539543016196987680788544597143858753059029330110928434616133000*x^2613 - 3559165069150707663562806028724074886184885260212270459512054846288219726142019778561088166147072475655489514897767671110223600753172324751929699366736852314602830961000*x^2612 + 103294879562462760191400548300303151141276892218605004891616525094498110274255062906684025444179481182357095699032990632665600501858734580578226386065740647174917716334800*x^2611 - 2963768467446046888568646501231775028899713907503051294197920296942138087099779881861010883898380498539938207364561961998789922091792922965821418615578558568941869860990800*x^2610 + 84080822826458504121349645306684052450307101071553955194093173641510656601417668387578678336682316317274333926320725226270018441951951401530368506376739542010198699317239000*x^2609 - 23587835134863466371247443505928891703532389967277878397998826885021645491731042669160513094667114330297 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m4.929s user 0m4.860s sys 0m0.070s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Wed Mar 31 14:41:25 2004 Input: Mod( (x-1)^2701-(x^2701-1) , x^144-1 ) Output: Mod(1951427506240456910477035477358610765567461669950164576329989600435457248672692038588278468235943476404788816771745707666411419351048152394875252282146304452046260075640202657563331437290243806284849083714627883587124175131052502825329217380952835595278341418034281473723642856861134104613990172740057075315150390181297787714819269667252985774468756148831512492776064014866133043938852567761811324597651277094230598285939063204984411018120954070301019786675006321320055246084062530389114162476148528292130444369880784934211240977400174500463420090073790753040738754177587171537012383629021167389437988634326546077157641007951339206874899600280251492615349876875872781676976791595284785837914442127072111514662748597315377622438294047043963794337690499109764767919334613329651880568353591462002851779006231425600*x^143 - 1808362570289682700273349247786612956260965231543030532887468005576621478012758859393159763637208097449285377677290342452341625833568654368524218366932340014746535410823599558734343352084148970285410669989644418361059916246190032485937156274178260133480060978946055491940443818364053391611354707984960596731708885104978354495194781413847266709465009760045617218853005259975653026150107941633106229531754267388874654958782859744186984086815827460082913058492345921281670568735836191976040010600423494047292755087231176318824656677988352277323808475195310273064009434269454601575231461812486731955642991442762137312205564804405261949346933336923912077695954706455795588160984147007073083020781156591341077395643048633252296762725252277646133201787663436449738791015620463997848102397589420383428030845045983346240*x^142 + 1675908635232423057694880195250439164984496679343267951983931015816502060435421946972904007904416237889110929175302814476663056924640151055705108878219070781926542988230893684041382219646009842726035079070921173017223882107618581382597499471551707575774622507575295079361418402096617588979509887148794185814037302094687330297007329916257873116607067878645231323374697010904099817688205966659144673884752342203115574653018405088168723145005574274051780336972880601793176215444549911554832683743570014309604164999803127445964595835536495151098371832030654342716776086969444645963523094562938710477234549237964151320188784639242303015112444721795750433683252352365303840676373316014336149058750407792925925337884852239393923125908201215797943660706756579375860487868803451929323341882881547488618684256611004431895*x^141 - 1553794528354727149530533870492919400304687681719873016001882679168594484825764325110181270322508984501535913144506460123005525246622032513161514377303556410848124059701376512966386072172141236255609861803181547585596737996916658252522218689816184886166582577482339798389590819970504841474599894903804349022300774655679061188006196910832228057962869422196254452842156349264027452457714332956898959445395110289091877899385691568509048208947480622723186172620600089455434562090211924919678726822845838907363969929996748578334718307274631099507107543242855365646101298364697933891290910094465160368154133543053003376830961204655413497924634070688972858716229324763893001213778253053398061678689322539196093627916478572065831999223937393770549742247513624263477529117646546255380970303454495299237188172431683420075*x^140 + 1441750027476153723169439149401130009165685151293724237683777670384541234171275961753964796507611578268823462176096148574358162988397518897984485709884937059081621586317625400569115591562246642408140082024451518222238642359487923878072913938174045552200776869910506199008938266850134503513967118866531562344684873542819739239531567203145181217991865077845559643281023474474148338766897180411188680928799294133063208587846531417833403357262205375626146456614883928038638902360445048465155902545410482156753460439919294979009786117360552692852583199651513302527504889664846448503391895895275603843438237900694447141413641796185263465084991046857754441115653885361640426674819085526162057483516506758648107608249573642919191790297495893870056056103002890644529344396936592532052805643712278925084692348473787476610*x^139 - 1339509304967425322322942325518865034407046064172613586340648546615920612924251245247646581234536463645802386987105060246937869363223620681716685552097721884828067053008495012111271526989670446556741113657429646453608037861308160586850666820475456818729086862062953690224399669938170718982598717483537045788570485816227536790216606314669357208625092726764083880572014937173382921626415869687476760718405556112871198539323501062237102871214222316747935675167656801144960933220519170178634425010138564529638431347425760248537183232485780561109188373613684229766882919261953041231792295393668449431546746044376952321962759658405475125048825533808531350080342232488379346161092281738227529546536452227502861607797004536665605532873067006671564720551151244212990802120716649050503006792170491666881229781507489937970*x^138 + 1246814167058368341136787933306320051008661873437019901475874754780503798913471696975471929417462769194209999963963692784971073005841533609420150124418375753687031589313562068596913260813096585895332693071305666279260889055337657146071061572356141560225485416742226984875319621216289461099282512025597100749524041035453547114136047421628535479410955298241819837398902640841098271223103215891501323020125478388431652296905423236316267867753239231045667616811912719228007370769728068674960598427749145558218742382714776770314988648157305582500653440360182309452505818610181578097689261012708406318314582169587225962616315361960356310424484434350735000326855328751204788915403370973824839605879544204629941024580757136971080309157446023854861913556594625001347815254316437625672701135502321047285882916594320496605*x^137 - 1163417076446157645768798102900919413171746049619595904010005545942746265187021652012640322108518989436938919936479062728382895717281510520823627761830734450181102358396476935070929169653159175004546475972812846624424807029578974670608255665393587399761354386962211844301145311041162717748160013064013677188563445176366219038085063129843749383723578256390466532689520675879733092597662887085396657561128878392838427711563173704597446932945292138139509632697847028342447574785111207860370669349044000223303937557709428322195043955964950850304328825649651248928757985949943660196794301148247151512371356515267872780374857308488936469652826814671195623016328394898580943372691104523686229964511151700099844612727781059362084696574049943159298671014640181639054373371209007077499865441557022573387623546077810492225*x^136 + 1089083948119104267229264412448136412549366086985704287811097204398954748092880568332183715623066403599253180694494888548436630479210552361775474186878176506017754481247962706443761109992104743074797951771082474498564418639565116218181092947803582908363224247423980860994047266287211424563898647914250177547635768175367339563893558779699238989605280941099972182811369331092028606399458508803714367717615276242740961528249372634158948773559458466447880767696502289977864670207143451701068806077656097139432888727033919797780005230554113317823355772523984962733232354319140561158551806613016732036905586852729863405624091218877445149349732308333705676483418506675516930914083383902682597822720948107133129808433563285959176433278945665601111862459454294543506604850593908159310609464831474910283944988434995556780*x^135 - 1023596710034957559696547937135998992542134191607880724697769027445128721196820979816704640716175849701858655170932491066450676415100468184654902279142521343370616743199014560750243270058143323679837065841838084501960353653988016259685963492498157144893947873482081507113927132083301079481061575613788529147558822246444949534550476605090333807735908960021318190367685011414787932646560314123634050268090869094119623099549550798478524108437911044647530152106847487610982438508215919269595439946218020585061550066394934467130168928950264106303048431445357027874162349107717444021294245481073511078936600828700190965635844393425108743623225306703363353579436991905136772969484704882163847699739877367072846372687295916417576526869374133431732675326951667498525822816603832607335765226577258686603280966454979047340*x^134 + 966755621828339444607715648924399200805166864650978647882575639200063619845982909038606181921560129819283913814095603689576475369073017215722161167580112411765350914847103443213854827918862019343888425344484602028800010086957613249369305526127066092688753576345383584824034515665133711218897065472340090866258846078895816124502480617635653767453960220570672516793567805450118324860064001457990409933302841422480655697749148450546870686094210344617401962337404633813689861108481907990324109216795641728379800246535572705381952725608679597310810244423635576626594316211452262778645466919297914191030474166819498167282948140262411949055567554388562572045300624896550706449650306319549726667850762550752331378219135936988569083217587061646386957486757038875181734455994689900336587837244063397805488126535686752945*x^133 - 918381346067979574123406498707828084758238540868185006819002861277097384450696936583891839601962291537094229293582276394286638297012849605410840774499220441007434456345799172913183290334187210857987641299393627988784907093153491448334759659233587648536028285660493726437602732627798538798482171692802364609192284921744609756117901771798831793651064491095932699052872134630010869982495330266016002786888140782197950363673785076210209731572187112718283951507586050246709518257795543034132465424968715884784804454215392966288547644063151220646045152098376356425171857063068366583815576002049953326546160062577529465920827313665687222156057964805899806515328761510198605613730369905006371578009012159512486798251650402811525904363733525406002144238737453309603318493079782714587696013768812742320052408762224702605*x^132 + 87831676774425688237931515536434428051192806575009443178575812475500935695135756118763557752496382673759525179216546717349955822694843595429904548829141204277 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m4.622s user 0m4.540s sys 0m0.070s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Wed Mar 31 14:56:47 2004 Input: Mod( (x-1)^5402-(x^5402-1) , x^145-1 ) Output: Errors (if any) and Timing Info: Timing: real 0m21.025s user 0m20.880s sys 0m0.120s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Wed Mar 31 14:57:24 2004 Input: Mod( (x-1)^5402-(x^5402-1) , x^145-1 ) Output: Errors (if any) and Timing Info: Timing: real 0m21.012s user 0m20.960s sys 0m0.040s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Wed Mar 31 17:13:29 2004 Input: contfrac((1+sqrt(2))/2) Output: [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Wed Mar 31 18:56:19 2004 Input: 389*2 Output: 778 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host px3.hitachi.co.jp. (133.145.228.12) Time: Wed Mar 31 22:37:38 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host tortola.ugr.es. (150.214.18.36) Time: Thu Apr 1 03:20:56 2004 Input: nu=bnfinit(x^4-4*x^2+1) nu.zk Output: [[;], matrix(0,8), [0.6584789484624083543125231736 + 3.141592653589793238462643383*I, -0.8813735870195430252326093250 + 3.141592653589793238462643383*I, 1.146215834780588843900393655 + 15.70796326794896619231321691*I; -0.6584789484624083543125231736 + 3.141592653589793238462643383*I, 0.8813735870195430252326093249 + 6.283185307179586476925286766*I, 1.146215834780588843900393655 + 18.84955592153875943077586029*I; -0.6584789484624083543125231736 + 6.283185307179586476925286766*I, -0.8813735870195430252326093250 + 15.70796326794896619231321691*I, -1.146215834780588843900393655 + 37.69911184307751886155172059*I; 0.6584789484624083543125231736 + 12.56637061435917295385057353*I, 0.8813735870195430252326093249 + 18.84955592153875943077586029*I, -1.146215834780588843900393655 + 40.84070449666731210001436398*I], [-0.6017179734539150740851039445 + 3.141592653589793238462643383*I, 0.3946857140156758737830649825 + 0.E-38*I, 0.1959185839666155345215995043 + 6.283185307179586476925286766*I, -5.351162935923124873017203219 + 3.141592653589793238462643383*I, 3.23260946 E-38 + 4.70197740 E-38*I, 0.01111367547162366578043945773 + 3.141592653589793238462643383*I, -4.938629377279797894915792173 + 0.E-37*I, -5.540801856009317180198528112 + 12.56637061435917295385057353*I; 0.3946857140156758737830649825 + 3.141592653589793238462643383*I, -0.6017179734539150740851039445 + 0.E-38*I, 0.01111367547162366578043945773 + 9.424777960769379715387930149*I, 1.912515431581358341316022251 + 12.56637061435917295385057353*I, -7.93458686 E-38 + 3.141592653589793238462643383*I, 0.1959185839666155345215995043 + 0.E-38*I, 1.220780764648007623264737820 + 6.283185307179586476925286766*I, 2.381355459957574388447220531 + 6.283185307179586476925286766*I; 0.01111367547162366578043945773 + 3.141592653589793238462643383*I, 0.1959185839666155345215995043 + 3.141592653589793238462643383*I, 0.3946857140156758737830649825 + 3.141592653589793238462643383*I, 0.06292141380586672162154726905 + 3.141592653589793238462643383*I, 3.82035664 E-38 + 9.424777960769379715387930149*I, -0.6017179734539150740851039445 + 3.141592653589793238462643383*I, 1.413135029201625793985354873 + 3.141592653589793238462643383*I, 0.2525603338920590288028721627 + 12.56637061435917295385057353*I; 0.1959185839666155345215995043 + 0.E-38*I, 0.01111367547162366578043945773 + 0.E-38*I, -0.6017179734539150740851039445 + 9.424777960769379715387930149*I, 3.375726090535899810079633698 + 3.141592653589793238462643383*I, 1.46936793 E-38 + 0.E-37*I, 0.3946857140156758737830649825 + 3.141592653589793238462643383*I, 2.304713583430164477665699479 + 3.141592653589793238462643383*I, 2.906886062159683762948435418 + 12.56637061435917295385057353*I], [[2, [1, 1, 0, 0]~, 4, 1, [1, 1, 1, 1]~], [3, [1, 0, 1, 0]~, 2, 2, [1, 0, 1, 0]~], [5, [1, -1, 1, 0]~, 1, 2, [1, 1, 1, 0]~], [5, [1, 1, 1, 0]~, 1, 2, [1, -1, 1, 0]~], [23, [8, 1, 0, 0]~, 1, 1, [3, -9, -8, 1]~], [23, [-8, 1, 0, 0]~, 1, 1, [-3, -9, 8, 1]~], [23, [-3, 1, 0, 0]~, 1, 1, [-8, 5, 3, 1]~], [23, [3, 1, 0, 0]~, 1, 1, [8, 5, -3, 1]~]]~, [6, 7, 5, 1, 2, 8, 3, 4], [x^4 - 4*x^2 + 1, [4, 0], 2304, 1, [[1, -1.931851652578136573499486399, 3.732050807568877293527446341, -7.209768520107504769300147922; 1, -0.5176380902050415246977976752, 0.2679491924311227064725536584, -0.1387007082420295252917043015; 1, 0.5176380902050415246977976752, 0.2679491924311227064725536584, 0.1387007082420295252917043015; 1, 1.931851652578136573499486399, 3.732050807568877293527446341, 7.209768520107504769300147922], [1, 1, 1, 1; -1.931851652578136573499486399, -0.5176380902050415246977976752, 0.5176380902050415246977976752, 1.931851652578136573499486399; 3.732050807568877293527446341, 0.2679491924311227064725536584, 0.2679491924311227064725536584, 3.732050807568877293527446341; -7.209768520107504769300147922, -0.1387007082420295252917043015, 0.1387007082420295252917043015, 7.209768520107504769300147922], [4, 0.E-105, 8.000000000000000000000000000, 0.E-105; 0.E-105, 8.000000000000000000000000000, 0.E-105, 28.00000000000000000000000000; 8.000000000000000000000000000, 0.E-105, 28.00000000000000000000000000, 0.E-104; 0.E-105, 28.00000000000000000000000000, 0.E-104, 104.0000000000000000000000000], [4, 0, 8, 0; 0, 8, 0, 28; 8, 0, 28, 0; 0, 28, 0, 104], [12, 0, 4, 0; 0, 12, 0, 4; 0, 0, 4, 0; 0, 0, 0, 4], [1344, 0, -384, 0; 0, 4992, 0, -1344; -384, 0, 192, 0; 0, -1344, 0, 384], [576, [192, 0, 192, 0]~]], [-1.931851652578136573499486399, -0.5176380902050415246977976752, 0.5176380902050415246977976752, 1.931851652578136573499486399], [1, x, x^2, x^3], [1, 0, 0, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -4; 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0; 0, 0, 1, 0, 0, 1, 0, 4, 1, 0, 4, 0, 0, 4, 0, 15; 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 4, 1, 0, 4, 0]], [[1, [], []], 2.660898580190370468920683695, 0.9948207673765480394, [2, -1], [x, x^3 - 3*x + 1, x^3 - x^2 - 3*x + 2], 118], [[;], [], []], 0] [1, x, x^2, x^3] Errors (if any) and Timing Info: Timing: real 0m0.149s user 0m0.130s sys 0m0.020s ************** PARI ***************** Host tortola.ugr.es. (150.214.18.36) Time: Thu Apr 1 03:21:59 2004 Input: nu=bnfinit(x^4-10*x^2+1); nu.zk Output: [1, x, 1/2*x^2 + 1/2, 1/4*x^3 + 1/4*x^2 - 1/4*x - 1/4] Errors (if any) and Timing Info: Timing: real 0m0.166s user 0m0.140s sys 0m0.020s ************** PARI ***************** Host ibmws6215.bc.edu. (136.167.76.227) Time: Thu Apr 1 09:53:39 2004 Input: 2+3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (153.9.5.63) Time: Thu Apr 1 11:29:35 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (153.9.5.63) Time: Thu Apr 1 11:36:10 2004 Input: factor(7081) Output: [73 1] [97 1] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host sartre.math.psu.edu. (146.186.131.109) Time: Thu Apr 1 12:51:56 2004 Input: P:= FunctionField(GF(5)); Q:= PolynomialRing(P); f:=x^6 - x^5 - (1)*x^3 + 3*(1)*x^2 + 2*x + (1); print f; if IsIrreducible(f) then f2:=f^2; c3:=Coefficient(f2, 3); c4:=Coefficient(f2, 4); c8:=Coefficient(f2, 8); c9:=Coefficient(f2, 9); m:=elt; n:=elt; print(m*n); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); else print PolynomialToString(f) cat "not irreducible"; end if; Output: WARNING: PARI command contains unsafe command 'Str', so it will not be executed. ************** PARI ***************** Host platinum.math.uconn.edu. (137.99.17.121) Time: Thu Apr 1 14:36:24 2004 Input: factor(493806983409834) Output: [2 1] [3 1] [22409 1] [3672683471 1] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host cache-hfa.netvision.net.il. (207.232.8.4) Time: Fri Apr 2 00:49:16 2004 Input: 1+5= 2-8= 2*8= Output: Errors (if any) and Timing Info: *** unexpected character: 1+5=2-8=2*8= ^--------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 10:15:22 2004 Input: Mod( (x-1)^121-(x^121-1) , x^33 - 1 ) Output: Mod(138031955003227820938153070529564234*x^32 - 157405007200305738993725027298148844*x^31 + 173688334308507744526947732356901185*x^30 - 185463831203292175199132334981122856*x^29 + 191645963737460369613482553472889656*x^28 - 191645963737460369613482553472889656*x^27 + 185463831203292175199132334981122856*x^26 - 173688334308507744526947732356901185*x^25 + 157405007200305738993725027298148844*x^24 - 138031955003227820938153070529564234*x^23 + 117117677975937703079368939511902779*x^22 - 96140489244341190234391391074271035*x^21 + 76344658760674399577310511859893200*x^20 - 58636309047126824486296198619880636*x^19 + 43546394540949370787984176045520736*x^18 - 31253326223382860098729308959132805*x^17 + 21647460654708343794578432110621220*x^16 - 14415391756412978800210338918974510*x^15 + 9123444007874292986931147121017684*x^14 - 5285256732002758626157230251661279*x^13 + 2405639148809872884717776222113320*x^12 - 2405639148809872884717776222113320*x^10 + 5285256732002758626157230251661279*x^9 - 9123444007874292986931147121017684*x^8 + 14415391756412978800210338918974510*x^7 - 21647460654708343794578432110621220*x^6 + 31253326223382860098729308959132805*x^5 - 43546394540949370787984176045520736*x^4 + 58636309047126824486296198619880636*x^3 - 76344658760674399577310511859893200*x^2 + 96140489244341190234391391074271035*x - 117117677975937703079368939511902779, x^33 - 1) Errors (if any) and Timing Info: Timing: real 0m0.080s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 10:27:06 2004 Input: Mod( (x-1)^3-(x^3-1) , x^33 - 1 ) Output: Mod(-3*x^2 + 3*x, x^33 - 1) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 10:27:22 2004 Input: Mod( (x-1)^77-(x^77-1) , x^33 - 1 ) Output: Mod(-4612458056015860367625*x^32 + 3208666315568484351735*x^31 - 2116353659564590966080*x^30 + 1322718034286781398420*x^29 - 782821539560225244640*x^28 + 438338663961174770948*x^27 - 231924102612036244256*x^26 + 115536057759183889828*x^25 - 53265170450853320960*x^24 + 20331125328339102420*x^23 - 20331125328339102420*x^21 + 53265170450853320960*x^20 - 115536057759183889828*x^19 + 231924102612036244256*x^18 - 438338663961174770948*x^17 + 782821539560225244640*x^16 - 1322718034286781398420*x^15 + 2116353659564590966080*x^14 - 3208666315568484351735*x^13 + 4612458056015860367625*x^12 - 6289715574361684831240*x^11 + 8139631927312076153193*x^10 - 10000119226169820037059*x^9 + 11666805764031957553245*x^8 - 12928082062867134045795*x^7 + 13608507434599259156205*x^6 - 13608507434599259156205*x^5 + 12928082062867134045795*x^4 - 11666805764031957553245*x^3 + 10000119226169820037059*x^2 - 8139631927312076153193*x + 6289715574361684831240, x^33 - 1) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 10:27:49 2004 Input: Mod( (x-1)^77-(x^77-1) , x^3 - 1 ) Output: Mod(-1350851717672992090*x^2 + 1350851717672992090, x^3 - 1) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:41:17 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.065s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:41:35 2004 Input: U(20) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: U(20) ^----- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:41:48 2004 Input: Ferm(20) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Ferm(20) ^-------- Timing: real 0m0.057s user 0m0.060s sys 0m0.000s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:42:00 2004 Input: 2^2000+1 Output: 114813069527425452423283320117768198402231770208869520047764273682576626139237031385665948631650626991844596463898746277344711896086305533142593135616665318539129989145312280000688779148240044871428926990063486244781615463646388363947317026040466353970904996558162398808944629605623311649536164221970332681344168908984458505602379484807914058900934776500429002716706625830522008132236281291761267883317206598995396418127021779858404042159853183251540889433902091920554957783589672039160081957216630582755380425583726015528348786419432054508915275783882625175435528800822842770817965453762184851149029377 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:48:15 2004 Input: isprime(2^2001+1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.268s user 0m0.250s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:48:25 2004 Input: isprime(301) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:48:33 2004 Input: isprime(101) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:49:47 2004 Input: factor(100) Output: [2 2] [5 2] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:50:15 2004 Input: factor(19083928509280958209850239509283059823059820395820395802958029582095802395802395802395820395802395802395823905823098520) Output: [2 3] [5 1] [7 1] [285905220331 1] [238389797339969016310244241551318794140484670245418551202445919673423773101018288900494533774221730996339 1] Errors (if any) and Timing Info: Timing: real 0m3.574s user 0m3.550s sys 0m0.030s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 10:50:42 2004 Input: isprime(238389797339969016310244241551318794140484670245418551202445919673423773101018288900494533774221730996339) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.080s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 11:00:38 2004 Input: partition(200) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: partition(200) ^-------------- Timing: real 0m0.064s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 11:05:16 2004 Input: bernfrac(200) Output: -498384049428333414764928632140399662108495887457206674968055822617263669621523687568865802302210999132601412697613279391058654527145340515840099290478026350382802884371712359337984274122861159800280019110197888555893671151/1366530 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 11:06:50 2004 Input: factor(498384049428333414764928632140399662108495887457206674968055822617263669621523687568865802302210999132601412697613279391058654527145340515840099290478026350382802884371712359337984274122861159800280019110197888555893671151) Output: Errors (if any) and Timing Info: Timing: real 0m21.007s user 0m20.970s sys 0m0.030s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 11:07:37 2004 Input: factor(498384049428333414764928632140399662108495887457206674968055822617263669621523687568865802302210999132601412697613279391058654527145340515840099290478026350382802884371712359337984274122861159800280019110197888555893671151) Output: Errors (if any) and Timing Info: Timing: real 0m21.016s user 0m20.900s sys 0m0.100s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 12:02:43 2004 Input: (x-1)^121-(x^121-1) Output: -121*x^120 + 7260*x^119 - 287980*x^118 + 8495410*x^117 - 198792594*x^116 + 3843323484*x^115 - 63140314380*x^114 + 899749479915*x^113 - 11296854581155*x^112 + 126524771308936*x^111 - 1276749965026536*x^110 + 11703541346076580*x^109 - 98129692824795940*x^108 + 757000487505568680*x^107 - 5399936810873056584*x^106 + 35774581372033999869*x^105 - 220960649650798234485*x^104 + 1276661531315723132580*x^103 - 6920849353974709613460*x^102 + 35296331705271019028646*x^101 - 169758547725351091518726*x^100 + 771629762387959506903300*x^99 - 3321362890278608312322900*x^98 + 13562231801970983941985175*x^97 - 52621459391647417694902479*x^96 + 194294619292236619181178384*x^95 - 683629216028239956378220240*x^94 + 2295040939523376996412596520*x^93 - 7359958875023243471254188840*x^92 + 22570540550071279978512845776*x^91 - 66255457743757628324021579536*x^90 + 186343474904318329661310692445*x^89 - 502562705044979737571413685685*x^88 + 1300750530704653438420129539420*x^87 - 3233294176322995689787179140844*x^86 + 7723980532327156370047150169794*x^85 - 17744279601292115985243453092770*x^84 + 39224197013382572177906580520860*x^83 - 83477137233609063865801184185420*x^82 + 171128131328898580924892427580111*x^81 - 338082405796116708656494795950951*x^80 + 643966487230698492679037706573240*x^79 - 1183101220726166998177766949285720*x^78 + 2097315800378205133133314137370140*x^77 - 3588740369536039894472559746166684*x^76 + 5929223219233457216954663928449304*x^75 - 9461526413670410452587229673057400*x^74 + 14586519887741882781071979079296825*x^73 - 21730937791941988633025601485483025*x^72 + 31292550420396463631556866139095556*x^71 - 43564138820551939565500735213250676*x^70 + 58644033027666072492020220479375910*x^69 - 76347892054886018904705570058055430*x^68 + 96141789995041653435555162295329060*x^67 - 117118180539414377821494470432491764*x^66 + 138032141350024088146761340152579579*x^65 - 157405073469325714553324335261713555*x^64 + 173688356931669753989875128564649440*x^63 - 185463838757545669514612425416490080*x^62 + 191645966716130525165099506263706416*x^61 - 191645966716130525165099506263706416*x^60 + 185463838757545669514612425416490080*x^59 - 173688356931669753989875128564649440*x^58 + 157405073469325714553324335261713555*x^57 - 138032141350024088146761340152579579*x^56 + 117118180539414377821494470432491764*x^55 - 96141789995041653435555162295329060*x^54 + 76347892054886018904705570058055430*x^53 - 58644033027666072492020220479375910*x^52 + 43564138820551939565500735213250676*x^51 - 31292550420396463631556866139095556*x^50 + 21730937791941988633025601485483025*x^49 - 14586519887741882781071979079296825*x^48 + 9461526413670410452587229673057400*x^47 - 5929223219233457216954663928449304*x^46 + 3588740369536039894472559746166684*x^45 - 2097315800378205133133314137370140*x^44 + 1183101220726166998177766949285720*x^43 - 643966487230698492679037706573240*x^42 + 338082405796116708656494795950951*x^41 - 171128131328898580924892427580111*x^40 + 83477137233609063865801184185420*x^39 - 39224197013382572177906580520860*x^38 + 17744279601292115985243453092770*x^37 - 7723980532327156370047150169794*x^36 + 3233294176322995689787179140844*x^35 - 1300750530704653438420129539420*x^34 + 502562705044979737571413685685*x^33 - 186343474904318329661310692445*x^32 + 66255457743757628324021579536*x^31 - 22570540550071279978512845776*x^30 + 7359958875023243471254188840*x^29 - 2295040939523376996412596520*x^28 + 683629216028239956378220240*x^27 - 194294619292236619181178384*x^26 + 52621459391647417694902479*x^25 - 13562231801970983941985175*x^24 + 3321362890278608312322900*x^23 - 771629762387959506903300*x^22 + 169758547725351091518726*x^21 - 35296331705271019028646*x^20 + 6920849353974709613460*x^19 - 1276661531315723132580*x^18 + 220960649650798234485*x^17 - 35774581372033999869*x^16 + 5399936810873056584*x^15 - 757000487505568680*x^14 + 98129692824795940*x^13 - 11703541346076580*x^12 + 1276749965026536*x^11 - 126524771308936*x^10 + 11296854581155*x^9 - 899749479915*x^8 + 63140314380*x^7 - 3843323484*x^6 + 198792594*x^5 - 8495410*x^4 + 287980*x^3 - 7260*x^2 + 121*x Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host roam240-28.fas.harvard.edu. (140.247.240.28) Time: Fri Apr 2 12:12:23 2004 Input: factor(784) Output: [2 4] [7 2] Errors (if any) and Timing Info: Timing: real 0m0.164s user 0m0.030s sys 0m0.100s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 12:21:16 2004 Input: Mod( 55 x^ 99 - 44 x^ 88 + 88 x^ 77 - 99 x^ 66 + 99 x^ 55 - 88 x^ 44 + 44 x^ 33 - 55 x^ 22 + 11 x^ 11 , x^33 - 1 ) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: Mod(55x^99-44x^88+88x^77-9 ^-------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 12:21:49 2004 Input: Mod( 55* x^ 99 - 44* x^ 88 + 88* x^ 77 - 99* x^ 66 + 99* x^ 55 - 88* x^ 44 + 44* x^ 33 - 55* x^ 22 + 11* x^ 11 , x^33 - 1 ) Output: Mod(11*x^11, x^33 - 1) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 12:22:44 2004 Input: Mod( 11*x^110 - 55* x^ 99 - 44* x^ 88 + 88* x^ 77 - 99* x^ 66 + 99* x^ 55 - 88* x^ 44 + 44* x^ 33 - 55* x^ 22 + 11* x^ 11 , x^33 - 1 ) Output: Mod(22*x^11 - 110, x^33 - 1) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 12:23:23 2004 Input: Mod( 11*x^110 - 55* x^ 99 + 44* x^ 88 - 88* x^ 77 + 99* x^ 66 - 99* x^ 55 + 88* x^ 44 - 44* x^ 33 + 55* x^ 22 - 11* x^ 11 , x^33 - 1 ) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 162.shorcan.com. (216.208.29.162) Time: Fri Apr 2 12:41:15 2004 Input: 3^3 Output: 27 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 13:04:08 2004 Input: Mod( x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 x^2 + 5*x - 1 , x^3 - 1 ) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ...8*x^6+9*x^5-9*x^4+8*x^3-4 *** x^2+5*x-1,x^3-1) ^---------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 13:04:29 2004 Input: Mod( x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 , x^3 - 1 ) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 13:05:04 2004 Input: Div( x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 , x^3 - 1 ) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: Div(x^9-5*x^8+4*x^7-8*x^6 ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 13:05:18 2004 Input: Divide( x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 , x^3 - 1 ) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: Divide(x^9-5*x^8+4*x^7-8*x^6 ^-------------------- Timing: real 0m0.062s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Fri Apr 2 13:05:41 2004 Input: ( x^ 9 - 5*x^8 + 4*x^7 - 8* x^6 + 9*x^5 - 9* x^4 + 8* x^3 - 4 *x^2 + 5*x - 1 ) / ( x^3 - 1 ) Output: x^6 - 5*x^5 + 4*x^4 - 7*x^3 + 4*x^2 - 5*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host form.fas.harvard.edu. (140.247.29.178) Time: Fri Apr 2 13:19:58 2004 Input: factor(322) Output: [2 1] [7 1] [23 1] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 16:17:51 2004 Input: bernfunc(2301) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: bernfunc(2301) ^-------------- Timing: real 0m0.064s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 16:18:10 2004 Input: bernfrac(2301) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 16:18:21 2004 Input: bernfrac(2302) Output: 3713900584120127411133209704354522704553254573294498261273958577981275381420666425932229309301689916555474187359763872038712735707943534155071808496473024156919714284905621210988322661307448691168588068474226812133092072212809557549902602743853249456950843917227159206098090956384118172084891333272035886130508911182234118849608525435112306901809369588063410507903112003653589093562596907008754481147247654899720827856643366051614105953606901555310760994692513485519733850390650621773644961163726062698998645542883648982497380308539161865188258382271724449254867289649124799455461533784361307935430684502107062838384408175405432577729752571042672636844772195137913984969782507806036333579206460348273959963311122588457534109684330306195545555611037830240952662066445201880019187540042191307286578678224722546104787962891979609835693239741916200799006734127425781575265991934925357434783156721816796243891725011838533739199376758054139058236201610816012077929361269558640873359858145282945251917616759835194828331863283218201936205544225149903115201484816105505393584512688940562480773693183699600502853093430561506851214244158790957307102440121749875524856530111507412479616789769931697771346467217079566028082544358589744521190529678972990282897849059487784093381783473047607983591029525713806646417449679682523910050844920678566600219886009053074128959340354184490112121475317267945447046895951591199010989707949765962940128875801046208533964216595976727454933835145215662376226530932376983516959465135594624118964952341942612826381025739425562846422180182701328866375586313292953341857565824875071514260153939956751356561975058873537237286134163114573473842491247946161748630058920601637842709137046115544072577404543670262114294367580842578337256984917509375668104446687337072745825173186314966962614628254128217034669702533187936395245245417300728392975911440472612995271650128550458051024735577135402329135342579137840400895076018252790317374980546071855259026423052875416793950065357077311374329659113305880002324813899725791820643308476438100306163174092287726085624563994675249127861720954748583433578980169461599487358466401475776605704666388361031116058675587089652920757194186161987743021493671744235500558217353412120688914780798415338860507887161816248364821936434370803936276218851834514735891486905686301062523160404656812083533915610764961737363598612551234076413957336239036715892077517276437881918825122915852072067640400788623702315763419255896085332239309937601748423190542876556426838903043478942837198976461431754267887291831991862294161578581761878517596585331151190230228683748303297089774875846431301786233247718554567456540221904325399559147436509908473979673561775850816213423055207676274975711043536845310179938724291181281513308243042313823831025439429747167657433387130870910490622498072121754726930255479626125443932407924441606933907312944634798043660223261878807135261123252359363428171526142602854655622001936793306445187885864291393026774787551043753762098587965129772764242529044076745218878351196963314673322943032879390842164623984345866837732053701364684031846170564738056206529753114499307410686224312113561418988422429523896215091209132540519501454816012583948657015119753590445875017720795997583805478522688735595171872590753536909830188516708105313292566460980803977945002977625897173953724165394743365955121356627847128307773355646944344161530469585845082159786570872389230986666521451530756853374031446685971316661892852287835927870739319745036525483951489756805601357167655141568359729136004864437921691028491927170413755851158508965244347569209327832869541876005354167335230545722767804734399840410997000589289341414363428724488359034837291645448350535597483432131909304771667086981571751596335389674827470841795286523355008880634769906401041159110503721049941813485959709337736194822524724590930634352834253438155162706491847518232994753056596910658856640720777979342607245470712042621226111612624252748523892922898773666259997842821444432729198595167836573259470172330375051922391800247795578779549237678510873562699835990235094353906567237523975235042107082920126983663754138082818319693870249567603665576777216722583562215386304306975519360432828747506959352580421181916898489599511665592203110069390093901890921373363509736492774264923052966865650686169422024149477274611168367302555334340444627800903726887566112513880571434412166766706178498513318821727135428815745642373962984005664705340019103647636063919762398186328943173934158803674639714384908557611586637430091782887048520687530875725032686298332538433691313174878371980964431955535530444362280635034033897339838453817135951812545778790838172163676565466221346618452312933096746321301593826400383732028154820996576826775778433870984014863791478848568270211594072138730616930055676148369998081890808906406097293142997019511800258601032029807486007445682677295017847790865688252360456189594959271/6 Errors (if any) and Timing Info: Timing: real 0m3.365s user 0m3.080s sys 0m0.230s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 16:44:29 2004 Input: binomial(2,10) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 16:44:38 2004 Input: binomial(2,11) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 17:08:23 2004 Input: binomial(5,11) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 17:09:13 2004 Input: binary(290) Output: [1, 0, 0, 1, 0, 0, 0, 1, 0] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 17:14:04 2004 Input: fibonacci(299) Output: 137347080577163115432025771710279131845700275212767467264610201 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 17:19:26 2004 Input: fibonacci(29909) Output: 18274572845784335684216601178323066366006776336520477537589519109768324469466528492187538658359179954538068636179700606684150890935478004071108835855440767336279636322645694152865982660278587000664971448961394215815647374009565410402204141910960884962840969470522590083504412110178724061970050812826506379491456714876765727272738158953662063579192524345692191793737885840247753379877753778424177611233556606962124710711919620645062880484317813910153976592327630517584385450493881418196152541715159292552830351055907348227170416665525399060395569340500220518281972144126263966215227699707634230534822630634639410904691350485527337218954101674743773033696515908535125928044630564702548424026691720436684768583394443572589897407195748038175352068918480670691085930831970932932496819188256490390947488581599298068185571182057214935760979839748176151723222963846523927440779269710475208806528926937810434252162440399212056012056604794241754074732496152605817213170756324488431752728256856097150434173558195744271431010237980996747073949939989027706919416702697215165889984574618423084622497294014506730811364982622639003084807457403582055166101651960092321145035823360148308240943168028488130758724953629496282839415338937287649936098662399831418594679862403532083832433696263714130658489863019392576603430383578892570919591195756434760148594159912276364766836914760269944582235414715462300067940582711510056784491240777754924303756588088843794333982495013440739950474871362406507469179012317989036786757975300409010673806200668690357692353133098151999250228065392947702325885933282237064781330697673511741757007934443068936878633395617841410708392387488201871207798429817855482520259633766064343611285294580721151336859440928795252016940388586743835210008675468175734759645608550110458803634021157408349581690243034483012683474117254458850285075036672923535431764519653185980762985999037089433471449458097268165408072413566183725043440144414579372535695216868858059641396256576817156287889511164608180318294660643031314202956085468691804429858337576463732437326934465507660379227707881621447341657436155905273019344763739951019800163136965120408244784663687770417171531762602094766627939843387136605122199054929976046417478454036236611735320378586936673723571444398130482596787373400022154345116695998540236785395956074315920605183897695158769051551558953922507704409529195540698618176166040722756381042915960279111299913614622516453983255952020727489300175112475408758941041392160253369060016828203246580569798239196073135255661366074884967105873475689578944025558723036908543041766971757268695157640937864304932612896432698417797419669851813226222965437896997929833017584189816512522642720493296670469053008874290379729013338592374898934231986738758078405189773939525090819303771023439032015473014097855471469834044076440430651229533150611082271652480603680524629774501402973664565725186680307835427463077896742324125420970597384702378162841836967466892166946321100983540365808589018824888032182910559613578018066829075879030069162680946064292469774591839875583387691877921710671955266025248292496362634778549290157674374261257873048871766998622249288978364872912508714437884162905937353798818459175842685600280977997916105969641749115938113785616861325186923164929489062705697665100633100369564155458625021412167314063931467921179009832182161821521797717763803037498186753233777767363400228428965779128843466746551736775569325611223839525445430553308907372946069331141488970782884841096761608783740155694573849985750210799776829452473168935327545258355623584597880821720886267354289949144700921947917315857026601356160256587268284463367290796506915883013309832555064327262004906647296785370934309968861550645865645104463648050429574336072567766417265644047342602222460157567340225677710990085471359352200053668765203176640342236294340217363328025039488325889941268008704941940836258025406051730950601627409230956928056947389797550530471103063766137925023900929313669162805115483176550406229633215414019771025715521970669536132775452140453776309863138810706566396306441781727376105041302438777767709686844447994408086611153010074297589712953329118869761999689239167299924542890304946859905881253320165210016086417876146858955059814688913232496498612770825006929406423066269793559084093808780003823970729573393668985363624055109392592184782606028614982378823258948402158295666504306448398400694878086622574262147876056762713043472222907776143280032190609912063878919452066182368226777726549341908747914605511762085787684030688281830897592165998085724511005431866763749675250306749654329281254365549642644307761195025496933099658731865181918415943412793813421159731431799060316188332111593973926191988269199841148618467902926062535849145685502898933095014876502935766686326840715772303320749056468664267048208753703275664267148875976154604693117821200935503516655613055478924701344780357391626493053300520994903972917592653433199024636162612470371093364327507779411281074327319895161606360570980405303039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Errors (if any) and Timing Info: Timing: real 0m0.070s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 21:49:15 2004 Input: bernfrac(3000) Output: -2891939216292500962814761826785482867861791785390384682211233271916919294204851813053302604515059481667647646922454843069087486024271468017761527616852604115415902830622357818494217380564551125512764675456107449351572066442942621036973152063491757001470079658909702841895132054154335458703458085537093596562601393256038668021527264120825760727854358463377252004618362459397714093069412970436918525593760636418945998755705899242662778403798982003067958968392378923789422420559159343751857347901632712123973313193657605957094914499333040920337811521732438978354722735322615013670740447493297606938491225154631594952851650034236487351950658314380524489443464182290744171713872668479233194534236925742679630718354527364841274429182665072681623961091126510913792431249292309291773654222806880065027949879866069599954572813735137569308897180147640600620808482141039616072792859930779881317493787737900951723715367255220132401714589148393672588196697044765014627131562199343116915350606642227725483201774340112439207461325878583960238876257933718844543445188775195431610517730408612166736181228415925183707184483441368162196431062026416655327736542636862056749838092728306351226420284046082753575102830612871902352424148770506082266159077878625852334655728483171029698187544620889405547616557527967883522476491556399953132369008509241463688257113994256542048012897472231250872007902626057163597865187373834311352710900674608204730855860416370232594709635379267497335753151302454668948179352108833049318572725983017061917126102378990064055098666205310162485418949171862415515176044193765010351797013221242255298559835590400601120409929893624032570116506060268351672009788098986385446912733173370196061150524028168303434958588289038278699254457077593422914667307145842352327973562040847248873816471617957069821401614345781968409976370108030129937997975364207288737337293876288606332024853589534165484204449508695212123232058190513514666084547235077596549907560428138743036623736429742102792209680948317668411315333576621854563280660112025149694536383759580510358783814896381799096235778505684273795159955373522026431635427530122733530495756977853362357642618991350495849455997045105737365741939683575427796413528415137985907895919711206257548287818183842300055426326109319460702832406293113505304268707114696080234807355874984497123606581270060697086955330843243532405344270041975625949033384371022655291722155034126709037745996780728427852017912192393338050946855554780529760334836702295040555959734648963714456335298820987546781503647050474518585449766535968594979685184570257965091394713937987641817516419923251496531881593810575316421489146961094215581878542155429784946070849344359183811626942724093701441532277341603729161416212140582956308089212156336678263226442913208387457283061053090567339727068372038257482363219407277289928467359789750733366565234982603102138645543813635106505836750095428116096278065615944913999854986811317853387809414112132526450757123798492669828765829929542352495942753478261709820993391574656472855666355132498041156783930496113261316098057075415461362146187308631154999763658653471056306875159852248472548602410139084474095649344153696499609316193824456351325922905120581879666095490248248937225714817328314889381409225126900727403736818781895678569387480541060804693824834086132446475627147041360379006093038826673785026449002158916332606476640588909589847080167851506722720166362418169398538992946696314038853581156658249994830367718632830272151940308663477356951652839525562263891567885120579857612448596756044790193196979105749794654478596626714380018952558951802174614090696367992445302680901764003419403027517480901157389900327715423059441841781772839687192114668567245842261983893845041129278614178912766641485583044823724325865864375250896857114789248558070961153582751190379208210690855097865007643176828286300676181968600129281273748441846754666959683025180614831889108153538906216966662442058599574360065510371273146987007454277096637231361446527947936080543570217979402657193011739479965236701379391620502592116404363117029516837834875822914060175744004583205355672463317748277606509277850063254000637620153246046498036659525089048975997442082998933611563399663158034369556758290641628064925826865914843471999955234054976674611584033949105943134122639482754544861232241353137601034801206229677386269387333917004709248579804973998005420312456680008010481580164858402690371844846593553456147348728194301911161948574505487982539427314860228531355615987001717792861353472972951803196130649949646434539530765933161574620016496432472245870231034886079278804197338069330932549644163312998786974387410695666040724429813104419323213748163512884948539428521304888891921243669781676073870034075260344338570093101508084782831141177547273587565891543786674047492440536362605359998729910282752641978757788768263900423479842808726653069474636752290152090392133942161976923240775502485724108419696468442797683163134146981432531011544640620201718288143320055641906728250206281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Errors (if any) and Timing Info: Timing: real 0m7.266s user 0m6.560s sys 0m0.380s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 21:52:55 2004 Input: bernfrac(3500) Output: -1355117654358739300080410317794255471208473834094882098933466308247200510592542991334684990949196569951010869269854368264753773132987101075186666060843022635946166513898351569255050544541574402795639993868172132767141421423129737066654574297153907360742293279560434598779479328583919621189707138445221430242707429380397067106815227575902589076362632767858853206689626617791034592465779726552734472328396489139182272508224105742146983778102052952471418268750126468484826994970637039288053235957587691895148636480657575492421824809743082540485313255892259021626598551744297536546451116064776748387799594561023973833283332318571361324284288532692164159760209855378906873639634426424377797889896552585591863698131860928977762941331957648032634612610361619014043717478040209265191270582949736640524723943960300909508767475192501382166263890160109962258350179273895090675502841851160366577689945991791593326523217662345095349077967223541145328972827747261795701618284547248458589127569989261870137249952002333213805129967998376840125559458536493184351437489694602055278791108764104663112260161963503693607294885286703431828713781389887122612193187242674581438581845601100590422150199267860108436496520655991849467840814455314045169064405549634923446289958197717616848324761619167182891390707307077627737111062644830695262417031167288097069348748442466067820602541450583057237429177949856516326971536793871285188528663268799677028497529719774444249389896695056810840142933306218005537616581150346289758416941299039514780831859250434823718486307703826486452141885631771959009041150208472817665566705798962344981202489522996778727294822515693824543210193479362836873053021831135968674721471268439037586587191586321117674130965480302523740571134244939628120479609056048357003842377470039950818154115394818048199712992685442086645466394086713722067925962841771776275021445547565029490538622940349222850244839551912700476500031289758712343452258959992268464128367417799272220857335375955931444797324134337189187211674201292247400164021388578291061703928626251852846859006575142662689433346731652136042094259357820575059220316084055154858785077170239823065989586285326140608937786177846651365239725252708167464669953761025050500808828357008477983456237782998618261816429967778131326254356739768847375391352631484276730490009098427116439461091961707957362531958296073618549181486455374501379530396600498410216627251847743143320169672784074351604690701015600545658868447207692569385744857229477066016706312897143761960163047669479517226164754766477337522116438906028229478183120444987121435277625718836217725139853617846457675905185780511723363294097773977582007474001900879617097091025886143415720541946436318895644861324786102359868510065204544206166645827599900343785163697992083150989821954936453954970718748511153549747622935772451881836522012875194309544853129436324408806197578604655678876949893106206113096532677965463822333117646480482588110884091085953237888363190560097681387802666555196868312684150845379524504015032359524146210490643192392006817913891549448342634109876904018606526745450021101965658977135368822480960853863484946192591881972065909579044168034136036518137829538760071727789070140293551464225857859114630135097266780986300634422318703646868724104174699075662399057370618220631785175455546383031044272166858306417790823343535457979327263692262543960095494109312617241040724687668022840945726321021882436967186452100022126611337907666655023598039477876072916309361897714439951625539826513353786917055402089029994765021899341465669920669271524200598138963201050404570557407109649345921920625779440337392670645878255410350110998531007891582428291649199049732157194608666890809872794851784986318080926208967573802795360703438570406956538591574998851030299556671403978764848773606158823127203911054977361609096582075195240165711015288611830682450357439999657117052316102848313738467431555385520101440985718023167003336575155199786091220537684710558960262466944922404853688522716976832902432148478178717028584416997881709246021189737373698123111145203044678819872201164695008965423306895904724093709655436801432100651078388444949539093713618242214677296946884412609417234167225704661438382176474971395469845693405565628284356354862213969587931058370080223595780233732767283573024025871606722350439422100033935325741871727534365337388232419306614962625671659000006452336465736557823257615012202736185350899727026072324302000866307169007667414905039901306345103544886432914691159664889823197575223250228866838659022957151790785364278798542638995256126625346790764224361772760463492142419973179595203003200084301893966283892696318901928646861860847272078972407621337278690063489115783422572922781959771504533707311357697410307999342896567715428024133257629121433525702524525555900264952369008595415002424333428434253401120983715872485397859780253878882267336478522888289506633152986140861123469751162598008043265590091656369045505449501281391463521453124548529875088999034702746630099751091212321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Errors (if any) and Timing Info: Timing: real 0m10.307s user 0m10.180s sys 0m0.130s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 21:54:18 2004 Input: bernfrac(3500) Output: -1355117654358739300080410317794255471208473834094882098933466308247200510592542991334684990949196569951010869269854368264753773132987101075186666060843022635946166513898351569255050544541574402795639993868172132767141421423129737066654574297153907360742293279560434598779479328583919621189707138445221430242707429380397067106815227575902589076362632767858853206689626617791034592465779726552734472328396489139182272508224105742146983778102052952471418268750126468484826994970637039288053235957587691895148636480657575492421824809743082540485313255892259021626598551744297536546451116064776748387799594561023973833283332318571361324284288532692164159760209855378906873639634426424377797889896552585591863698131860928977762941331957648032634612610361619014043717478040209265191270582949736640524723943960300909508767475192501382166263890160109962258350179273895090675502841851160366577689945991791593326523217662345095349077967223541145328972827747261795701618284547248458589127569989261870137249952002333213805129967998376840125559458536493184351437489694602055278791108764104663112260161963503693607294885286703431828713781389887122612193187242674581438581845601100590422150199267860108436496520655991849467840814455314045169064405549634923446289958197717616848324761619167182891390707307077627737111062644830695262417031167288097069348748442466067820602541450583057237429177949856516326971536793871285188528663268799677028497529719774444249389896695056810840142933306218005537616581150346289758416941299039514780831859250434823718486307703826486452141885631771959009041150208472817665566705798962344981202489522996778727294822515693824543210193479362836873053021831135968674721471268439037586587191586321117674130965480302523740571134244939628120479609056048357003842377470039950818154115394818048199712992685442086645466394086713722067925962841771776275021445547565029490538622940349222850244839551912700476500031289758712343452258959992268464128367417799272220857335375955931444797324134337189187211674201292247400164021388578291061703928626251852846859006575142662689433346731652136042094259357820575059220316084055154858785077170239823065989586285326140608937786177846651365239725252708167464669953761025050500808828357008477983456237782998618261816429967778131326254356739768847375391352631484276730490009098427116439461091961707957362531958296073618549181486455374501379530396600498410216627251847743143320169672784074351604690701015600545658868447207692569385744857229477066016706312897143761960163047669479517226164754766477337522116438906028229478183120444987121435277625718836217725139853617846457675905185780511723363294097773977582007474001900879617097091025886143415720541946436318895644861324786102359868510065204544206166645827599900343785163697992083150989821954936453954970718748511153549747622935772451881836522012875194309544853129436324408806197578604655678876949893106206113096532677965463822333117646480482588110884091085953237888363190560097681387802666555196868312684150845379524504015032359524146210490643192392006817913891549448342634109876904018606526745450021101965658977135368822480960853863484946192591881972065909579044168034136036518137829538760071727789070140293551464225857859114630135097266780986300634422318703646868724104174699075662399057370618220631785175455546383031044272166858306417790823343535457979327263692262543960095494109312617241040724687668022840945726321021882436967186452100022126611337907666655023598039477876072916309361897714439951625539826513353786917055402089029994765021899341465669920669271524200598138963201050404570557407109649345921920625779440337392670645878255410350110998531007891582428291649199049732157194608666890809872794851784986318080926208967573802795360703438570406956538591574998851030299556671403978764848773606158823127203911054977361609096582075195240165711015288611830682450357439999657117052316102848313738467431555385520101440985718023167003336575155199786091220537684710558960262466944922404853688522716976832902432148478178717028584416997881709246021189737373698123111145203044678819872201164695008965423306895904724093709655436801432100651078388444949539093713618242214677296946884412609417234167225704661438382176474971395469845693405565628284356354862213969587931058370080223595780233732767283573024025871606722350439422100033935325741871727534365337388232419306614962625671659000006452336465736557823257615012202736185350899727026072324302000866307169007667414905039901306345103544886432914691159664889823197575223250228866838659022957151790785364278798542638995256126625346790764224361772760463492142419973179595203003200084301893966283892696318901928646861860847272078972407621337278690063489115783422572922781959771504533707311357697410307999342896567715428024133257629121433525702524525555900264952369008595415002424333428434253401120983715872485397859780253878882267336478522888289506633152986140861123469751162598008043265590091656369045505449501281391463521453124548529875088999034702746630099751091212321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Errors (if any) and Timing Info: Timing: real 0m10.434s user 0m10.130s sys 0m0.280s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 21:58:38 2004 Input: 4+7 Output: 11 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 21:59:16 2004 Input: (((a^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2)))) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (((a^2)(61^2)/((((61^2)-1)/ ^-------------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 22:01:04 2004 Input: (((a^2)(61^2))/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2)))) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (((a^2)(61^2))/((((61^2)-1) ^-------------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 22:09:05 2004 Input: (((a^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2))))=a Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (((a^2)(61^2)/((((61^2)-1)/ ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 22:12:33 2004 Input: (((x^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((x^2)(61^4))-((2*x)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(x(61^2)((((61^2)-1)/8)^2))))=x Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (((x^2)(61^2)/((((61^2)-1)/ ^-------------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 22:39:39 2004 Input: 135511765435873930008041031779425547120847383409488209893346630824720051059254299133468499094919656995101086926985436826475 377313298710107518666606084302263594616651389835156925505054454157440279563999386817213276714142142312973706665457429715390 736074229327956043459877947932858391962118970713844522143024270742938039706710681522757590258907636263276785885320668962661 779103459246577972655273447232839648913918227250822410574214698377810205295247141826875012646848482699497063703928805323595 758769189514863648065757549242182480974308254048531325589225902162659855174429753654645111606477674838779959456102397383328 333231857136132428428853269216415976020985537890687363963442642437779788989655258559186369813186092897776294133195764803263 461261036161901404371747804020926519127058294973664052472394396030090950876747519250138216626389016010996225835017927389509 067550284185116036657768994599179159332652321766234509534907796722354114532897282774726179570161828454724845858912756998926 187013724995200233321380512996799837684012555945853649318435143748969460205527879110876410466311226016196350369360729488528 670343182871378138988712261219318724267458143858184560110059042215019926786010843649652065599184946784081445531404516906440 554963492344628995819771761684832476161916718289139070730707762773711106264483069526241703116728809706934874844246606782060 254145058305723742917794985651632697153679387128518852866326879967702849752971977444424938989669505681084014293330621800553 761658115034628975841694129903951478083185925043482371848630770382648645214188563177195900904115020847281766556670579896234 498120248952299677872729482251569382454321019347936283687305302183113596867472147126843903758658719158632111767413096548030 252374057113424493962812047960905604835700384237747003995081815411539481804819971299268544208664546639408671372206792596284 177177627502144554756502949053862294034922285024483955191270047650003128975871234345225895999226846412836741779927222085733 537595593144479732413433718918721167420129224740016402138857829106170392862625185284685900657514266268943334673165213604209 425935782057505922031608405515485878507717023982306598958628532614060893778617784665136523972525270816746466995376102505050 080882835700847798345623778299861826181642996777813132625435673976884737539135263148427673049000909842711643946109196170795 736253195829607361854918148645537450137953039660049841021662725184774314332016967278407435160469070101560054565886844720769 256938574485722947706601670631289714376196016304766947951722616475476647733752211643890602822947818312044498712143527762571 883621772513985361784645767590518578051172336329409777397758200747400190087961709709102588614341572054194643631889564486132 478610235986851006520454420616664582759990034378516369799208315098982195493645395497071874851115354974762293577245188183652 201287519430954485312943632440880619757860465567887694989310620611309653267796546382233311764648048258811088409108595323788 836319056009768138780266655519686831268415084537952450401503235952414621049064319239200681791389154944834263410987690401860 652674545002110196565897713536882248096085386348494619259188197206590957904416803413603651813782953876007172778907014029355 146422585785911463013509726678098630063442231870364686872410417469907566239905737061822063178517545554638303104427216685830 641779082334353545797932726369226254396009549410931261724104072468766802284094572632102188243696718645210002212661133790766 665502359803947787607291630936189771443995162553982651335378691705540208902999476502189934146566992066927152420059813896320 105040457055740710964934592192062577944033739267064587825541035011099853100789158242829164919904973215719460866689080987279 485178498631808092620896757380279536070343857040695653859157499885103029955667140397876484877360615882312720391105497736160 909658207519524016571101528861183068245035743999965711705231610284831373846743155538552010144098571802316700333657515519978 609122053768471055896026246694492240485368852271697683290243214847817871702858441699788170924602118973737369812311114520304 467881987220116469500896542330689590472409370965543680143210065107838844494953909371361824221467729694688441260941723416722 570466143838217647497139546984569340556562828435635486221396958793105837008022359578023373276728357302402587160672235043942 210003393532574187172753436533738823241930661496262567165900000645233646573655782325761501220273618535089972702607232430200 086630716900766741490503990130634510354488643291469115966488982319757522325022886683865902295715179078536427879854263899525 612662534679076422436177276046349214241997317959520300320008430189396628389269631890192864686186084727207897240762133727869 006348911578342257292278195977150453370731135769741030799934289656771542802413325762912143352570252452555590026495236900859 541500242433342843425340112098371587248539785978025387888226733647852288828950663315298614086112346975116259800804326559009 165636904550544950128139146352145312454852987508899903470274663009975109121232186100389254382689966128044231704092390824575 737552056511350528275128189838201537049596727568477139484416797411865646757512447979283912377027260967657865453504135915953 761798912950625732791883694210265879653324892932333156549980547813115863816848212384625635904055866589084091246253032014423 791759156757529406466853536500324922693841024160699372426670408876986263289740858249793726486229274029720133875725407636466 533883984025245327075973831770527329601637220374963117008081963084074651546530693586769444373858579503047994922458247527067 804757367018104564501890374173819124878206069982000288643641715235743438270898661432221359175212277863793885117620470717722 344274108130829307793677001124965784810946171228135000618329545976438206544124840712056243459575805864816877205022257628323 305492415079374373888479538347559462433982201561291397513115415692640489413537306992190492170575764063406228381739581836638 241584168768467950849978498649931028665998662638068193529200276448529244236775008802101229596328422039855518741574953290663 167126058811877692407996851231695067922233116159435577220029128468736827611127477758981775814380125442202049226728909687173 866405331895322923158857674256484938328936505166934140345606804931924537258255808397176032794947814792614478787344852150400 003540809677116354802297179394188672030381797741903977941835074490679568782219584737590870711690083446307365495867070382519 950239056825595920027394474157771845283274427966539082946314148685130068665758836735701354762587500383741866740409873935094 019356473134698097694692185366805939233073292853466787515586650201612176953440505649555985111281505090217587521218905384081 657787779722838554148173323364058242989157133095510798195926774320724828542381991592049320465028659829350546734602233264040 460199203594489996290595617108002615651013970077731373929679063420182503463601531922006308608568270120254093302158280600048 063974899881242710959349968024034147927036088757319060721935253511271007997639188226423879026748632932133271063262224833871 664271056705690175116223833071483389882703530009162334057514019378671752004699641283424896992558254830452619867309949483409 595535482749130618704463636857585883269329253874957132697542305767134343623637029865332774411524969334974638592661296187185 677848961562116322675309347367572903734760601634233102261163592522081728319782828638620706026755968436225657896194705698549 017847848595137103234679118926600026577194210792625631955601282236145750912713582421303499825474872501506582394174555794029 894594925309492067754571412698160749999814513611027949200096578214450986449344646914292650208367319161494863097177046790554 525386408103949799500866972229262859480817018719698120726392069442813577455150185941485098426631249902441688905756495395921 432721239455124500755353665180629864171119158804131646974939832837352506164960615509952472337946824205485950329783273866027 030146453178435508077715429967263375155177155693589463359526761880579869269818372384620008978066301827895637177298151733675 6799692263392963209803277878466666353519095722524102163815542116061659109988817377670456929298995900564253203499/(7*13709) Output: 135511765435873930008041031779425547120847383409488209893346630824720051059254299133468499094919656995101086926985436826475 377313298710107518666606084302263594616651389835156925505054454157440279563999386817213276714142142312973706665457429715390 736074229327956043459877947932858391962118970713844522143024270742938039706710681522757590258907636263276785885320668962661 779103459246577972655273447232839648913918227250822410574214698377810205295247141826875012646848482699497063703928805323595 758769189514863648065757549242182480974308254048531325589225902162659855174429753654645111606477674838779959456102397383328 333231857136132428428853269216415976020985537890687363963442642437779788989655258559186369813186092897776294133195764803263 461261036161901404371747804020926519127058294973664052472394396030090950876747519250138216626389016010996225835017927389509 67550284185116036657768994599179159332652321766234509534907796722354114532897282774726179570161828454724845858912756998926 187013724995200233321380512996799837684012555945853649318435143748969460205527879110876410466311226016196350369360729488528 670343182871378138988712261219318724267458143858184560110059042215019926786010843649652065599184946784081445531404516906440 554963492344628995819771761684832476161916718289139070730707762773711106264483069526241703116728809706934874844246606782060 254145058305723742917794985651632697153679387128518852866326879967702849752971977444424938989669505681084014293330621800553 761658115034628975841694129903951478083185925043482371848630770382648645214188563177195900904115020847281766556670579896234 498120248952299677872729482251569382454321019347936283687305302183113596867472147126843903758658719158632111767413096548030 252374057113424493962812047960905604835700384237747003995081815411539481804819971299268544208664546639408671372206792596284 177177627502144554756502949053862294034922285024483955191270047650003128975871234345225895999226846412836741779927222085733 537595593144479732413433718918721167420129224740016402138857829106170392862625185284685900657514266268943334673165213604209 425935782057505922031608405515485878507717023982306598958628532614060893778617784665136523972525270816746466995376102505050 80882835700847798345623778299861826181642996777813132625435673976884737539135263148427673049000909842711643946109196170795 736253195829607361854918148645537450137953039660049841021662725184774314332016967278407435160469070101560054565886844720769 256938574485722947706601670631289714376196016304766947951722616475476647733752211643890602822947818312044498712143527762571 883621772513985361784645767590518578051172336329409777397758200747400190087961709709102588614341572054194643631889564486132 478610235986851006520454420616664582759990034378516369799208315098982195493645395497071874851115354974762293577245188183652 201287519430954485312943632440880619757860465567887694989310620611309653267796546382233311764648048258811088409108595323788 836319056009768138780266655519686831268415084537952450401503235952414621049064319239200681791389154944834263410987690401860 652674545002110196565897713536882248096085386348494619259188197206590957904416803413603651813782953876007172778907014029355 146422585785911463013509726678098630063442231870364686872410417469907566239905737061822063178517545554638303104427216685830 641779082334353545797932726369226254396009549410931261724104072468766802284094572632102188243696718645210002212661133790766 665502359803947787607291630936189771443995162553982651335378691705540208902999476502189934146566992066927152420059813896320 105040457055740710964934592192062577944033739267064587825541035011099853100789158242829164919904973215719460866689080987279 485178498631808092620896757380279536070343857040695653859157499885103029955667140397876484877360615882312720391105497736160 909658207519524016571101528861183068245035743999965711705231610284831373846743155538552010144098571802316700333657515519978 609122053768471055896026246694492240485368852271697683290243214847817871702858441699788170924602118973737369812311114520304 467881987220116469500896542330689590472409370965543680143210065107838844494953909371361824221467729694688441260941723416722 570466143838217647497139546984569340556562828435635486221396958793105837008022359578023373276728357302402587160672235043942 210003393532574187172753436533738823241930661496262567165900000645233646573655782325761501220273618535089972702607232430200 86630716900766741490503990130634510354488643291469115966488982319757522325022886683865902295715179078536427879854263899525 612662534679076422436177276046349214241997317959520300320008430189396628389269631890192864686186084727207897240762133727869 6348911578342257292278195977150453370731135769741030799934289656771542802413325762912143352570252452555590026495236900859 541500242433342843425340112098371587248539785978025387888226733647852288828950663315298614086112346975116259800804326559009 165636904550544950128139146352145312454852987508899903470274663009975109121232186100389254382689966128044231704092390824575 737552056511350528275128189838201537049596727568477139484416797411865646757512447979283912377027260967657865453504135915953 761798912950625732791883694210265879653324892932333156549980547813115863816848212384625635904055866589084091246253032014423 791759156757529406466853536500324922693841024160699372426670408876986263289740858249793726486229274029720133875725407636466 533883984025245327075973831770527329601637220374963117008081963084074651546530693586769444373858579503047994922458247527067 804757367018104564501890374173819124878206069982000288643641715235743438270898661432221359175212277863793885117620470717722 344274108130829307793677001124965784810946171228135000618329545976438206544124840712056243459575805864816877205022257628323 305492415079374373888479538347559462433982201561291397513115415692640489413537306992190492170575764063406228381739581836638 241584168768467950849978498649931028665998662638068193529200276448529244236775008802101229596328422039855518741574953290663 167126058811877692407996851231695067922233116159435577220029128468736827611127477758981775814380125442202049226728909687173 866405331895322923158857674256484938328936505166934140345606804931924537258255808397176032794947814792614478787344852150400 3540809677116354802297179394188672030381797741903977941835074490679568782219584737590870711690083446307365495867070382519 950239056825595920027394474157771845283274427966539082946314148685130068665758836735701354762587500383741866740409873935094 19356473134698097694692185366805939233073292853466787515586650201612176953440505649555985111281505090217587521218905384081 657787779722838554148173323364058242989157133095510798195926774320724828542381991592049320465028659829350546734602233264040 460199203594489996290595617108002615651013970077731373929679063420182503463601531922006308608568270120254093302158280600048 63974899881242710959349968024034147927036088757319060721935253511271007997639188226423879026748632932133271063262224833871 664271056705690175116223833071483389882703530009162334057514019378671752004699641283424896992558254830452619867309949483409 595535482749130618704463636857585883269329253874957132697542305767134343623637029865332774411524969334974638592661296187185 677848961562116322675309347367572903734760601634233102261163592522081728319782828638620706026755968436225657896194705698549 17847848595137103234679118926600026577194210792625631955601282236145750912713582421303499825474872501506582394174555794029 894594925309492067754571412698160749999814513611027949200096578214450986449344646914292650208367319161494863097177046790554 525386408103949799500866972229262859480817018719698120726392069442813577455150185941485098426631249902441688905756495395921 432721239455124500755353665180629864171119158804131646974939832837352506164960615509952472337946824205485950329783273866027 30146453178435508077715429967263375155177155693589463359526761880579869269818372384620008978066301827895637177298151733675 6799692263392963209803277878466666353519095722524102163815542116061659109988817377670456929298995900564253203499/95963 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Fri Apr 2 22:43:18 2004 Input: -12074896022970*bernfrac(3500)/(7*13709) Output: 14121251465239095277142339420341751208366493691265196991897567898535899363218563314347039910686374643883693395056994552741721008440618791359030731228108986129509983159117071884528938700765653458058209871181310846546496268594455540850688018269061068961394425763684280387018739812051724322808865275629372052173310852937038932784669378571976585521113687232150445553907512455748930238381248257690302224069656942146267545910654166107218238051145263825343291359692032017390317048973427667830864353527793961163663458631530647149649602552474209231529998602505747232022743679796354183867231287733571776495103264393818178186210647005318313561313094970896743117245290949417034415760599673044587996310000235357292536687388482321079613406541663433121459443851918124840237565291208166326514079207087488308251346289302136339097021510295649179019662684160665696761774634743547936970528660537502647663057073995098041187991388997270774663963894662954944394952510313993890370437403449751035181555078407947543712159394791046693049716744978552568443665355777676649869611096929046145689391836062906152498985671180597663758895462696074860401548319559487746445955078964544474834903510739562023093798643934225779065853721288328308492239868025322730313395845790929039799609830848531380306209285028262798072076814054141989486688230305750083494857717737962517526012613637194208399096958729750604268615799316992135791623196376429302840976868884879349629518978353891023096296454832141667519178572014401441572445433660330437339567763607218561120763828250834422834699912506137641092315638650020935246304827990713271423014138771842741277393261183964431367243859776099377293438027983314786668330729876472897624308027765274507743476043749373380095776137472802264837188648176272397908356440045104436124781191397100453488887544103644615109083633123621464996575701955063118784593675080726699613616139007378150855419515233467303546625673977602831054677649612441382026950584704440966457159190706827342005328463844981205723011203634079688913557039705847539157425480534980055455789508729946467355741343800659240430513288784762210873922859412696300232592937736993996215052438650728125068928506667425368203763806653050148132506541611956352601210401519596620580940866344408553124185756833348459946192073692757951775729778558078086089340189776104089393724759526349910272303825033689623735522631598362061932010112807795727306674412018157104473883182557268356764270320686872561348547888411164153464027252250269055633367623245178516894077018196010566157404913033976816337179483410036550775991151860907115014986197232132399313043836883342722978021254210961075371811904385145559885519395746043600215437219562535738744005771871902876322561262531589212976473482343219364427019426284549317618726254909708364527616873087368579450641965512269884963149844327017181076278730056916539046528483636342231327210794121947092172999787466582733730186562593980107922143721699653223983385747428515032990674437918293903779198134281938678321881001585995313951045203311479679710044833524630807816456792642914527660805639146841414233713794941994378320242697926304572168201654479564842291861066087410695704406615736373175538155686421188563694648341132225209602348199759818515738960423440598304526398518036124698293287034032582600629145598570932537096283132255471225112340656117785440973780085099650811493424918541305787268970984066359904276745335360931199782079218269968068175453267222126936282234819900655579107652602096887321566414931514399397287472405405746230732954506984847462619989881829400550440266993171013001565931913347833424999229394710154511708779939621749222364655547840237077268095572359660608760991297599933602447289049422508229157161269351832193604324426980378697270916577991546693628830263439106286158119014608245160109174071298091606648120694005222087720382386725733971390870181166076151339738113771252279007090649517596542962559557832849519788163723367548966174314246357106419521848579137647751951665586846586291200430842328864809234003907514697356607739213850307186982659961461284516127984091511292092901901806369942789118734978012452355838259494854517821552634211117119104770363457217360223145520859521009944425944211963042185364851304197049262550946458232813374380682195904966334486779927826032824432941551225197167452390325097001688401007384166005131555100403634060270540434620993146706420520610095713583627769650802980860711584012148674568479645308464568124170013714372459197824852361524834232098882276516014975600438569374807906793919425436861865752948833058977512405376570040383942548675454487617687302661930022656902783080567129957821451738478321884509655641256463077268246056489500418357719754981316538378412735505128956613373026931448296976771878447990722542139759046823338154735643609676938238000663058902217789174208033887021716206965274068286760775855573859231173691774078264387293642135550981964583604915674669294484677979910391099939244825220116170224623970610093150959280655057484566588387744490569593229567635804453243751234862303307752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Errors (if any) and Timing Info: Timing: real 0m10.398s user 0m10.000s sys 0m0.220s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 23:55:19 2004 Input: subst((((x^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((x^2)(61^4))-((2*x)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(x(61^2)((((61^2)-1)/8)^2))))=x,61,y) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: subst((((x^2)(61^2)/((((61^2)-1)/ ^-------------------- Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 66-50-75-116.prtc.net. (66.50.75.116) Time: Fri Apr 2 23:56:18 2004 Input: (((a^2)(61^2)/((((61^2)-1)/8)^2))+(((((61^2)-1)/8)^2)/(61^2)))/(2+((((a^2)(61^4))-((2a)((((61^2)-1)/8)^2)(61^2))+((((61^2)-1)/8)^4))/(a(61^2)((((61^2)-1)/8)^2)))) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (((a^2)(61^2)/((((61^2)-1)/ ^-------------------- Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 01:21:10 2004 Input: bernfrac(3502) Output: 20911894041916488730273260473552417653742062084288747428556034710373782248980865882530353028136033087452761792093490669628901619077550910438368291884929145858108210494345084473546486445061066326244570045504417029541478233358704091949051721335466500157520343896219508674456701246449362952019124425551893737467304739557958562495917924971025203173703705708664533965400930910880089392728143715854371757820962149608549670597655408875180176092169472875125508042126194816420310365490791058790936673035218464298019669540994443684500914790009814254086200221536866509576250724425629465778427579566783183577818948676302032911424612576246661954878914190883207750205170378451451581443153981168389105456280890509970737759236676396911541649416935107064164456186190592319097238908043650329027498301685713170670344467776381796098598020606737494214725330283248789380072395506455636365704024292117003533918820947862121302778551447370430538767390641685349668812761685801577877700547284567195097418341846184927935289760305976813049757497047303630176681875415497275914367552987770117901111050891555498742057461685179650856626344503240145032179116826901339225508508490218037780529580019095573897001464550497021254765026613610581701423319075929640405917982255863312768525442363124321111667426046991738735643580330143630649332925993199344069914319920050888963815839226257951307537652777316790561672890244747580572948047466753984594941009016275238070762099977430180206699320320876354078553696385624283151850890347732569498729963164294512577149320312307821271350611425881199267926229168929657000432636552652542238795101857992724055911810625561452483476275039365291502071642673966685929364321319464886841659962075166400667172911609439930481181674281717055168603556402906248147011567370411289699173885718176193670073216813581019254702845332987639180953451377150738085921728663878613112469305219298388186968011025241531938635702282419546863687610487794512159267641684483561992965574853748133548235740261249023012005153914412563589832440352873825086276687423191429453671405574999981032832177654957217428127822327363631913469047599562845936587865853944173643155193948603492855056144227156093365360964132667116262507119631264866021572110373514378550607760239497577185911845799857215793027461512722462527262114668255467351525969753929011747785311836193347042441840984533622518688092340254524562776129816263847938478010209382645423628056859823333378296862405236710469046910547171965069088550683679462946517329467094905431853161645399415101594204960153631356539194281901740728598040344426938676243990031195863867799153100065087792956761048123726271379511127817421712257574953675747749954200369001039806093137325280741727935842342790552060917615098498568627385705750738093009258637878908341391941789976933585030156562355997402720374572656339711002044129712051568843708082915072889511761502235923662750087342448466600749832546945897036516601202701761747536144284775804278323357482576337200063441686791139412569953340927238183768746149149754884351515680244115635194377672237647137439915673991362225269372443659949851992555630399816095771292207736672633590531902970071179542123487231064482275385545423317534632812663343164454847986954597464666686688956219271117921554241714805099286733665524067284053480015871630121444805781402918290936466219586542657900984181555413652445607521305147422241049658826143832003121040753342172662017488789648193771219262326381711374674596949922036819147092443143716096775737286213358278961606506782031620451462304969869780256288447958034461196610390227337228792114275358519389904942424355665138065088838138712741696589752872306174087311264996556604664550505356577525177861678726590279214768435407811678520106781875154997429922416966422255477025440144457704936821058073000244273205002481961529241672889116403723135130919848553607510411926867434313590304691370152914378211242948640241073961359816050216378845160207972951290824466032065570934250660485730400671354308455609608612484655959561019744555881608499759613876890215726781652213925759071941393049776020397714423497526714536170550674027234134019586125942350022518138203972507075681023492208312959929705553774392891794147621150765817593626251197738485782950952588613610428943501395856147118367583723460669488179566717518337549689333911663392623220461983217318136353573064976449690432278712328974332453006146822188971592082097704442556735390858317955585396794105269186179572935317916112582054615279232478797287341019018248742649637244277888782565692856252446387576282543687966080595951619403785982579018651958647293655809662626979374721628278173896831447820369003822148040681633682894374564563682223180983535956525626121160179732522719051522240483831934805545153539065537083604253051327240639652866606641960793025283762859250899308263738101313159621446404917532233337455136550372011937584358684442915679587974794797548441186832875694156235145525938005267682378385315514656072748269709308259611629762074420596514439450106758743183478859912135628493555897519470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Errors (if any) and Timing Info: Timing: real 0m10.929s user 0m10.580s sys 0m0.160s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 01:46:24 2004 Input: 6*bernfrac(3502)/103 Output: 20302809749433484204148796576264483158972875809989075173355373505217264319398898915078012648675760279080351254459699679251360795220923214017833293092164219279716709217810761624802414024331132355577252471363511679166483721707479700921409438189773301123806159122543212305297768200436274710698179053933877415016800718017435497568852354340801168129809423018120906762525175641631154750221498753256671609534914708357815214172480979490466190380747061043811172856433198850893505209214360251253336575762348023590310358777664508431554286203893023547656505069453268455899272547986048025027599591812410857842542668617768963991674381141987050441630013777556512378839971241215001535381702894338241849957554262631039551222559879997001496747006733113654528598239019992542812853308780243037890775050180304049194509192015904656406405845249259703121092553673057077068031451948015180937576722613705828673707593153264195439590826647932456833754748195811019095934720083302502793884026489871063201377030918626143626494912918424090339570385482819058423962985840288617392589857269679726117583544554908251205881030762310340637501305342951597118620501773690620607289814068172852214106388368053955239807247136404875004626239430689885147012931141679262530017458500838167736432468313712933118123714608729843432663670223440418106148471838057615601858563029175620353219261384716457580133643473123097632692126451211243274706842200732023878583503899296347641516601919835126414271184777549858328692909112256585584321252764788902425951420547858750074902252730395942981893797500855533269831290455271511650905472381216060426014661998051188403797874393748982993666286445985719904923924926181248475110991572296006642388312694336311327352341368388282020564732312346655503498598449423541890302492592632320096285325939976887058323511469496135198740626536881203088304321725389066102836629770755935060649810892522706977638845655574302853044371147980142586104476201742244814822953091731613585403470731794304415762854622571867001946751373216081155177126556188179695414259634166436362787772402912602944497259859181764493327982842100613508222376310255190229696957139751624896267178590877177529180722550636983849865013721036035206317591875014433030652534343217843253017242950968521539720238640638073585463554866720837405108849192481036263617446363037875483286710520576065089749360179158856814260283825489829672598184287634803823765058455711306236532094038663430464365885830326903368006709269098995212707330760853847520890611133101849933838021014950888448149713553547214909261353671749262843299068295560134637130087408928023172620536990354454167919185483615268224640302065842157002191820343374512378596311037865087190381686723573535658190138196884031127104480678153950123675442476444750494425862018357613001885232987314160223452973161162526912985021996446321361207892924321911498745711568031931564816992462061808495230429561618058980419948491162171375340973496856065569072121141557551770249983083822524333438530865183895698983826142949692979365193349276586749044349751568577858619099259851589747490945622681772106186838504805681546170514951277762884749716249196731641293109679680756837013094399091730364451985847881101585255012954528596939793159803363754064746559436185551380149749237674853676440451965113868013087394050126331499811438255260476637345844258779279515518622869333643151075263403055749748591901772955176702059262867322497730114066786066207544873070219788069295800579563031103707909798488489044754151201248750833280545249035710710311117924567931912408015814027143722777860786786628482746400110946950018825150429538209383629189406638969624021064650245507093372900302199025783111324806315880172354541613280317077940985212073211467649048647361043839803330021764045070150948568388489764762074583551527184703177868934448506339069585329239226915665175650338401560689720317347023605427480282883643606192438099950136156382486757102961375125092388551430049796916957312685020324515204355078058904227483937485056905324908698602931790830953017960931663958145840511438497295073552497030478689102932424965459706336616054534515217502169062154937986351796138367124469876220461826236400202245592164762673567371739605968564224044483100608010871590762896068886008362728571789807180442861279968527886855018920562686133512949077368285351129507401184914546812930229469488412598494845079882244979586730536899171672028127759303007480041317218826076036850082909508840067171048129063415452536487431665319643183298337224290308979361795764314832901730646303743934413968520662663774724350093156912042510662698076361124900285102727827793183858953037163275627991696912979615361308777360809400868324819964740022505809258210219054486563281293711377719924505324108674568490440329189841828741993253715767611313462724895107566043964818309952329425498774855643844292666412541293430424713724806186419356878018140235840465619393004657814020569740656013743917617015473791522021726587684965685507522591950784718069543458324680190790717912725008488527649378555471483974326114096573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Errors (if any) and Timing Info: Timing: real 0m10.194s user 0m10.060s sys 0m0.130s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 01:54:36 2004 Input: 6*bernfrac(3502)/(17*103*379) Output: 31511422861141524451573485296080215984747595545536357556038139849786224304514820603877095527977278098836491160111283065732361935776692866704692368604942137637306703737095703282325646475758392605272780492571025421645947108035821357941035912136851313245081730750493888414244557194530924585904359854002603468907032000647889954320739336242125047539670065215149630238282128886591890036041438387795548051427773876079179286314575476471311796338269534446393252920119818176150093449036722413865181710014508805820751759704585609858069666620973185701779458434662840999378042135629439740846809858470294673044455484429254949544737515353076285025034943004123098523731136491098869370451191827313738708610203729056401600531677603596153184459113352651954879090856774782776366371734875435415009739329784733896002652789098098178498224189429240576006662352433737509030003805599899396147100298950342742004823208370734433399954720856638921051924178481780256240780257773246162958069263526107501476605666488632847472442826196529707185426642065527019127678078286960449158140396196926472322805439321602128210276316564194227281547889714343624272265251860454168255920866161994183166392035337659405928615935335099914643219368975151148761466601182181068648172370791305552904597964168419886882079333553825614516007558937514229560994058416975967098957881466980630689460284626286601862693843664633086501151833697363407224440233122352978237751829736607710137384140803717408682711756600263632358672837361875811864537098812337269014358870941888483741893920115467861216659626728007967204456449565841241115793065933906659050154682598248003110038606850456282777690961424779947081986535660687953554417183877535319947832240717579250857290612088139503368872780245765412856586370401091947680121826156499022344071590780656351169212341253292154584418169388299244277982805719989238092249929800955975571395019234087702898709988600922400827323251820549654797616756482604756813321361309532226579859492056176167027414022384870195564095532163923764015485218929362377301589724715453106259177048584374674754768368553750992539698871398573045954093397967181732468876233338121410672461863403503302078504924027063454679287620240627091737261511524157120953984998204590785741141150009263575259537852926646086583056890992892809879107324526588601992266717931146787961022366165724142619508552194876388040137022855020688611823970646647219965489769448566360758236992144441146149877209111170112320358077400433020662280507156377227255766896062551373481046129155596598553701247172974103537577764506827972750735788135278805893419350316510978073289674049906028508333362538592686985317867555241590877218408107053410489828202759374650303246448430193288310088682596436490962446811544550597739679407847966398408235079960201168713154171949890051565191639238184893548013381959407607265571772348784590251040992655644779706374348070870415171861601057920315040229626712963171465685198660338453467440821265804053655517589762257526514726883230147284958844988581328097127681504499886057347577758422425233367405089647449308936040579889308974245206950961983053773351722724317496328961223419519993234973008970480764918536542602967143201074011870062240548277220168444198261358311040452823319488684519921700108877462731142097899178103313850485818853630374245431475727825943288028305674133569423063038209875631435112759700858921396476406319884794280888874839768535344556464556987096176016676816809281061724811113735159135656849153807990825771774252989676782295949938303640711951437401714368977048592295225868607361132796502850579672119199303037327361206193434018639428261973314665481334814627735907973138868384762065847870729977970380071662819403404129003690735659183723748979743983621544379698592782898904307108724116977166676648707239769597279504428337527447537647585083944325996006387808746935182991713005929407647095460852832970485245392196861865513171125845858694867237894032426491621030653107119288084254260941355276043889583896053831968780159716475102744999118098449407136366493347754378147619802106619701307616064688327026125135752692389161285200270860185475972469587052594058351914274599518665560238749396865128427118057989560092149215592066683569834678101207528902049919130946587006616061728681991588457025112476374184161134441351367582667932760155650087117037717189064949267313719493230502248168314573773467297201195928758608834437572185787688157754644139106124533369677028571845517881496397739275884737680322311531341274714166109406035976038795226315121685132153195318849005072979454700876492860613311985166088255002446625989291145588588899259947010636407206698165437989931677192862500042465946610070347384703926777131474869176189747767442621905496473257681988707292681310709980333990131660316612220573905961995130723102758910513681232826249153229083928070221704629313072390646330008868112379615737012072044296501382066769196033924901475352693863128579726240905593343973338082551117438593058392972141525249215495046290051514497466883012584958136969390897829402412426065647327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Errors (if any) and Timing Info: Timing: real 0m10.158s user 0m9.910s sys 0m0.250s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 02:29:30 2004 Input: bernfrac(3504) Output: -9945161405283180379132918665233628003954736877283811184688007888947519019404290314864759297130818426448227157838142239799194527615690117963469899719619418561089622469167225333656800215546475434251461052142069789053265388202311688434369105870105271656628345738165839045943935384717473282163887645560779323673501615825797863682085714988908392263632062262581246070528065119608924067717388368257607648896577209919464727058162963780452378510880225729349728844313697909799730700186343458944699722402033956569248701467642247849739376557822648491959933958692638130802206372259899427302802301481834381675447162773349286701871277751530226321152126630073360792920714846008309164516795544125554453489962064040717279213730663509286483101378123885959029681575057368415965322146236548185947507719657211270469817907051601848950346292050164378261624701297857623302592665450445455221834488029541536978972458821125775044118461886664031804520040542078070714214470369850603787775312042560357088374579182124704218260052593599200588745869139535046706230361149413199079172629927301919007211392560810593740115520059673749812779822930178251072280822625821502024905899304939577326268739499971402515625799526541109336204237713730834313720529366948249517892390126354254012523963984705687870713885130242685341079477842240181829414715194357886469306286310520502925414216526486280834239628676190929448965453691290177623808991373836126292778624416491020026528621092626893097277644264486260882109250447486057877754335258852312804088950208285769478131921285049336286510490562734815237156890656658885747968046159129614494659720255737011247266765008386191922150623813543435106964944778646121081125769341285553139360478807880167314002057064463712528034841865319066891313324406241618846173384998713400201110254285337380364116577511691145049069130411018237752642228745451606584822080773175963439240004684020856901842809190298546161151352187979366855988222897024754021936989825258449390821029693248133174310274954885021778743443187831183279252487870593461983885105068286443788461826129081159522017748645477822482907363485376437023677239675192842413507490932104471676340706442746276685032334837919389710438786658734036803080610699300458277786617460995551559601782362375096254168618328490635115586986818240318683612253067667498762588773420887065293402543853327349699840614512133575106866624210632757126212688737474277926606858193221053320735026927035162047497492491937081598930394475391633569425892771076695376119995531183590575514013048033026051389422666756799951705991126700176451413029211653809177068490920926939437947465895722387310985852678610259546777195707576383982218224628059810182221860889952293826269267347409293306326556149702886668750631152447780788902500553414406977583664699714256336419410416508450257750314099831363458686020598926876990953721895723344439592488033396200200464121191890714181676830024379643154129624360771291628244254508760238798789979174159626546387257861502100123262300159475550078488032626559265629749542035341984177008793336374051944809838766346197619665942939497636640350858136004327956754860490842148005983683792439367602277747713661162962892687077343188641440319353876751466204907335621268035397967180089629516836930975414784303359290295024653070137224973384769824881253881251694675894549626507006850398757780741642776762951774636498483728759514071592141958740503503474625463859574605971896021775979369415788607679585457583630108198018991137381878880985822291668052478598269758175065131121256042517763287450228185549183067550552337253734273762717730485207724083898404596499581410205601393312785387479003969059226356330784345450509646730873140442447676414311690288001156189791252420308461998787797627857538881489383572594780484904968728246161809277996597789226656695552659381286189350792696545405302996416640438949011465795433548293073779164395679402441665769166370129144818068031583009381677629339355071066691060422729526965407900478176052444688333722430071680595580905391923629659062533062855340765950604899436087825628823664142074362935329812287127925318275800757224109174533701604102346544522977242150161227393612719183138520846984446663108949767652050979954928808355375309391455172476597877357015870497779555076516464364194876622247486580536240837316858354220864118797341562003680780831521503297707524105234514255120274941342281863868262031381692744386987078000228021648658133837323693963100589297967034873940184066138648828153352713125357410690278871106420543474854444281623094467527973269857978284730515145393320537367654273615292059792416042725807090537547249332894403969477470405812135225261791270411300550293673088822249446938358981710847420295944372227637346747546030987908128059586946124943226190253125158786669361723572951791246859170070659598214261408391604823238999207899303240876255328856426956333002764596075765607683195910060486993207290034776405190967374520978839977552624386477387761498332044380812954907866959859198143070246573734033305265227390220685943993981009838458674161734430464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Errors (if any) and Timing Info: Timing: real 0m10.341s user 0m10.180s sys 0m0.160s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 02:47:31 2004 Input: -9177517440215670*bernfrac(3504)/(73*11483) Output: 11864067555830811693203316236668652533351549911523540080915335104004274358407473483571019574058636324153068631339648294619198275969229221473876092853902455638519386572845892896654614165247823684865251732629258724395760007589911576773251591536870193647343298119275592681908497713376740699669061287216456159341565811790625407758324950867104787737002599748504037619074850517094268081484825535136047031879857192012808364787211307937585374580982996579040283306607740459451948264422265026614327698720841597369367583846570389163420108293287216113349136673382138612054515814634736313362340638730791296813332350470856008348101574515191875447984604555481492943017271327845342745519935418677943754245360997067394778002658681277846683544558571856620721855148656165237671557533216521607221047098399434149194721329626764340079076147169507727637430318431245740639340186565781524829240709648857378183798156442252066538049053916109498143795701020899352961572104051194921602721011098670407461625320076640637581296535549990158875414244451339081007457553273407382538299773610902977489309858362165623918282440223932877324048799869942644304780291802201350686250788008168808597663418466096281120305060281537220997572632937708792048424805897638139904125562775173608649026093349079088766972839098945177255573131743578275723153244038367481254965692358233556604121418948661786911013933254746957025174145092734080545283726597431254889930945467320983164545350652515383786249410104139962567785434391382684680694552947063273766328724425608039374622785183397179495252052841347143588266741730967261607651150967814976629728664119009770544982833477942010669913026658280358584834692831984053951255840189351445244680318144964941997642801406801134885560240767255784776916590703161694471724592278416814136335254718812897164380671739511469663993026512114081390885428901391582535734278752958170970117833132744005017354790333654092781767153335638945547841684845644071846454365327730986951313412314389864199859798648013348832214677310749044482973028468043244371829118528147557960560907940244196032512324526760610363750778083356620118217925098558849250061724278659067992518668386198390575027926736151224991844748053685122143729576060979313407653979809337629013946503839952921774974820823266597931649987436150782375867426496664513906309116181140990187284054037388622967174363188624965681092149575051096530085198891362070585113739540191102416717299697390856581912621865004827385009161220328840572455401935531494891340260624918540183301357990827448379784079463216977034193478539091350586648075608676804158462349847632938552341777297616115438051786713426589570499327424550626932986373696029282336630875290276983398053903802296537593186063197296881594770388570176736293797621681860149402014967569348204238092773732830127988784270851647716825809231513084711277724094695939255575654407567823548808261075863057496766126972718908646556887100956591329920996081770383901394187213229037357840938490205893524702105554678775354727462553490698299248501408318123615943292936116849388965474678788233943947712989588537238061686016059480814350642057515448265996528142009139618664729812281957202920449034340631223334840806187439385042337639483287704677668795897317690018045652925187542637012296074393061178152844136937115885282775229674473731739891401711173814296962848882794907973492410623087236437377366746545091622923826053134682077805993858666469458456132733935202136427506841660668251934090765667152847605556065955352763857707784536968962016657448404989106335214090377257128247415837273746818434114894955479401621794574713300423355323599986869586590048516036176240548990623165806093951447859042539886177990828982081060866815852607908081283305039120125913181413956175100503060248067607945430047469587893475164345657674651334085743530566747022932703860385628328047105905229130609314720501746809953004595718556753663445749021656574004014967938765557696773139412838622741208539994161002626250569397339829734870046216838227303143052354498620429405545130253019592518421437870426239173887953573254728347458586341363848495275036980347571017670677084703587462797586605286942810769367442685996627515417863821264988090853757555754019169940685863742796053007337060521712856980426188703568186198867679616307824355289758078181509796929253127424294882227069236979863380777926756807280631785969421553817929623495878221042356105913659143806415020486668007529527226192130711351783725483632226004908778973268062884332182165987923907074714944730022918481154950353021285614563380447469273092588969957559982792063144913941923350428794128720657139254578799007789246297546731095987362391934414415679508149926749296290265551395714565479609795585071854338612514638230021493292794879895342910872604751836081358593169642374086255048451132900763855075346430207130741094701328439366984257165096149284128886269954283441270430810151746903152885655155734644512639862906306466884801090579118742932726497195920244061751629506087104637795399790882370755804853495093991213944423452267332333360530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Errors (if any) and Timing Info: Timing: real 0m10.384s user 0m10.170s sys 0m0.220s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 02:48:54 2004 Input: bernfrac(3506) Output: 20238488072326679199218802324002524563137496593002111208708231699287891098578434932198883219587690533727792989521244629138810028638799747013962676013451208275334156626038771944650682931857762308877604627516747187012703195091538637257970592252363924039763556364574340504340818577910622945740122562700630723301958416056611907907735733249937501640516196914540537738660294789749298701568819931848519638512193013564150638667962360184149848500015600276884528690712200703952986115011841208421682752031049981861302959175278747791518952877869318610033536103382716439505258991214216981976327006758801751940715855102521972035102768168746323980089480105143072493771748119394538369823604640608770590755371066359296242240555742698319497033162791764615897093959328951045529111580022940781576427977433043367947956973675875306697938673768561375443086675663155289026382896837553913282334524180573096745771741541019712121452363812933547673915053562802203215151836369337665965711876179517936703498360231719040723296109742604754153558797369123850685080450740008541675535786777825310186898452193802650584474717168041040041844936238569176834143118965328047170182596376642334094835771839602222893269499755873813066069859396761167880829368766096400805700297465352757249455831414730424552287003952734387376187742045658370915083700700941227428773755717347288002626302036550726722465262948782172756642901215216946440782061102704501417450041460617086317583785649199429576117973218360376651451558488322468278099844852614991766777419662823381701940801857837889120849558707237772796919180614489774493081492504660257958475581067946086571488324752642739460310021298582369958175491789253783917178751471261602657755656428261552497440433429533787245029749885251444221940242105963212737964133020009915860283239907138191033019493554950558007808894110872781302817334391989998697509288719304442503095586464156351501803926162929665473657362293321549127404337208794604092128239374605009842047706026338648092241721032283241004762212296751312150057216197353040617586377434732797046937450482694309160116487025102532227978760489233396797439819457925557177922973621821766901911995404244572526701760090449993118831706922604777043845201618556408462354112038249518853523123613002441921512753346387324021102197517317396576690898871427802838364405752438329242982706371275006144491426569328457140903011898082168821770241676888266006470160458550041974479509327698549584869127652390418038363085904024273274628128448283330060411789501509227159554838790293116777534273002566426192503765635764563513161226929922671164746015012556072912253954112666101482646411509849549495839064805175863159671391023524863619697337561688311002242486351746956083432831345983714452484778730124910146241255169211250859445481832987392062461935811079848803033875245424024429201213405360025772016171835858577443071394652502212919084294181468519627013840633782632506175956565221062180182833604117087781333743508968293767748233304737107506167764613096709173741342883525764054219210127214456919414624020182270558592156909419271882760640988887216320324056268227496458798942830223088261130774223286071727346530942247158806286665172544411829376254210964114929779001468339200018729259865032424071586386165663619058532848167817181565451524892454908226511310378895021837144758547094561206976981450842479914056864535194823552662158799926223654226928063512865284570563620645124554156913305415026417980594610809760736244368673945313791208783390937903789174199258113859773583550459381043913197712733152484368881904963598005360789887802210782888711072521696385546998711195790128323485572853842532074295244930888162096266447674335467921633542787673585788255209434868410657872039127493014706745316411022793995277825257172143700482653620832519071236802248149745745275848921300374704579884119561561696140481109168590206854200361874855344476366633145266654941635616910796148717525065699356463422075356170723339565406014789480137793628084024155563993555942341360604047943983150001922771113853283168706359046867468801994025777620012469459922804418564968354882586226110264108942002086288008219136808757600195712515495132043690008958990365531289078676927845109859248715045911774060856895602308103256327335765676759832707962805350406030732805840097116515914029452917520162022591742992417321824191148531573769348025921471202004030827107851514919917105889875163460635110366991319742497073335426043177991903977351247421207836883880472357339220062630263697299332296406582063317286646071257567549501251999007574032185850461141892133902013762856179089911931994396702555876850938342265616711514370387628735234522945036488347099064488596842179203265916085673117206149086428555565363994036917570580229893262524096250864517899722994780160844523600032721992314002177247729633975683350424591302046225341163341670998856033402907625232140259745719495045469942362454647841906060804587178255843496977410511576909689423877447210959086875525322111941853623422594160151028843037203868496483113737333686677452672366436881910674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Errors (if any) and Timing Info: Timing: real 0m10.269s user 0m9.810s sys 0m0.360s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 02:52:05 2004 Input: 6*bernfrac(3506)/(263*1753) Output: 43897561968351222346089598328997166320284176811510764184175810938527740817107522210049221908748913939445020897410511104567748126815301410540025195294652314175881338945379397284504527668717315257229008017796210704544958658793591512340540805121397374278018901577901957327559747825911957439045552681444803418587057528878493810518710419834195158415049913162531885022005285430840555140820667951840342440687649013563170661631580756040486484874415397128842741483284929699988474109591251951400386414231876222751877735235584728822331631115522371448041350305251218312345070571500929383363071251583492398562195074825604714644754062386796613692311236370769224498950735446230228613682583557158441239798305710274610699399737858832592247148642070984484820360011471808340572297744926005786010354823416334340365906080995046637481728603802631394400661713354304709637108567469463349699991810195174587715511576116163084080636049906696716923980516968851232141211126107200618528393207905443870699655257433143488345446067995559495299874408388712995397527000405624126539264111664794757464983335886557646065679296476092131125230048300836104611850882388101759656303688791278685956797086232622886335580069703157028073698449364936953014450770468651026931995552361845217540068912640211401968785729521221387726825153719443194426249624654185930970641866994651836401315945151171000115966898567761453492313884975494364773440123509517636072978731648769597187187603758466050759519201669187154777473399188186830784597061967892069362412766952087310839084766923921596916637331564656727081481567968197429052816556743920271296952277503521581843376210586615751509763862273218469496453644462298816189473670277919227349000098534530815174942756316784018803246037504964751836482905146773294098686082999507451344210012400552211489742719281775637218996427874589310888704284001982475880585565905063221339399891254658177511672388155730134486794744681733105284811777764559189335670603516416203058846878520772967346020013561289264042222485075560445320368160171597284866543562333626433006616469501916994354309477126886298616773766404216122274774627434827763330050112076899713260509404636580793656722663571736866336322321804890208949449399331849167776162346435441511137936538151875311896635107542718347083657125573579234244154830440435197105590645807487716316803364512058646111264831325177386600489355343218618862547944266945455821460137772618025751573097563760440190242317141045373685009480551589503869798712144272675544610736838985914769802204998477605533445701996070671228472570944680522717516797776159221160782526017443367941223961774743788448800234925569310830188042237589147902176152176984731486267620660482759597870215647151230337201042310918847326331999527425901379799225595256043110117542839081709058153292478683687937536467078542215363995699724665431280252151848018448424257806069556399608458924692853575569558845637316219465546204475588967918511955830454880783043828198847155593666117844124049171909024210742928849275967724044525634966261264696602498735733897093891316335834732895203839069234899622843881589315151706247104472599563644481835876735424304823946231297010116625288287249392230184061166743401239623827439764246276779228501840115548628362430046407491815353002345068025007787739269112710439304508534807022880574408582673254456145742510830629252436468204501560222785192052732905944300215227049149562801781549111127528374295695820559706267757379767893303465095943453688980305806631089642966840493318912529872252853989487616110379377260347069302963267543447730030129316365431581239089775642671653342877714707857231445329973327319039239791634210838753689159195746291171610040871906254511192736959800439590600053080193058489660759166396792945486163378424075126277170657262445980750156140374779898762892674695462423731407928362068201522422485909237978978365939107888649019593735815480133495550141388509238472555938922880058642465002039645606387614855589255549921238319595704537263797625701822061388741620435544823760945974448698012898488759187113170039831827193838292355874281361053110405746330757758259635538299367485804906350952541450072978018162227343117805671448598416904619953359537577319617751893106465557275755186876398966803952237805644988455874585025020456036762195476081451929042943119600554751382403100372023455334995843153342275486511816725270539001748459135810462709458180056705529543293228970476993263201888399990408602968463299736944613876231469512031171376093194423242500812938616000085279741293190505721966040295938104095384958431848806483039183265977186700235580790333131692884716587833875801432658656578700779620020264977662385063083740179457360828917436303839096295988298357467710031828097052348219088254775111268452887639696207312168341855774725348685733728196534734041436047656886620057286481287321335425726827879758617823888272428450217325908426500729748161120095787788149819401782182946555448477268901133503725015556625272670805561616505202062349221202892056916753327167264583870591722899118463845081145926661108223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Errors (if any) and Timing Info: Timing: real 0m10.272s user 0m9.970s sys 0m0.260s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 02:55:30 2004 Input: bernfrac(3508) Output: -3153433546404976234924368730292154446352077379579491241668521621040480100260883043388987252850837593154175100435949733336386560838518271106915498992138467373545141124942000647559544732375664454515339375054761696884040464484328965321120531854501165180608741843270484695333947113888208923200790568520635742717747164376288501568686025143257963689497928965457858745266725120099541858751589085093242386895123199198801593129060437066468995973881638912714387862867628020955636733780462616490713228276178047726136378550932284142672504837889367068799917862157315466730278458704379263718674434309003536758680864014438570669929482200768459630771293044371978555861634189468977697378984731913345623028129255559510952858161691750568307495399432622940531626545531209767999293343977474577494942875407283059417957780894401677996126605922796532799822206459018998174830671650216443765506393700317543818916822600848245686236430079803884370630438812131740601579648482775123913528612365230458268400756206876307468493709117517909363653316979119839444654182589211825695751359408495341764563803904015914376899869390510593079147060692972072900265449037233435439932728695472239460796767252250179654244673351807816448301270291305298198743675842887285240444586031876809155747212690985276878977514842230985757888760541418963662807808081264791866050129801115659158325737884165146867252888518038699875600853422551451508624250706765646203548502070296193122710779302343747466269797551462997411563585899674688587925804245165899880684482449185049214161302353664732800493296166314725768915431694116973665431112217260102177529017301781924988958319111833955297259923844221816704854459459109285810322386219171123354157633839298541831177961312590584172277767023371575427246379024896219959871019263784863846058917387224850492100393156882499718932433935631520108007441374121835907771412345363243046947767477756734717854345824335723305627891748938945012034848586541136451933101860622530098643278436814249360218596663000901721031807742062892783573811264860699658509396586696656504211790071113303084611612069499181399136866448686120507329282742995979716000466655938153692912722208285797304207528472967311444217773347255532060657919042828331254884963046598102566264187434486412644253027386838026996443483182288651475182395865431253797677359941443956648402450472113497972001539625416655587693888407374225374234120134108797026570359986457042590248276661102853913419347544649064957089088301872147230809242376664534195739704824359982797283861337652838982269414893859461289680084853379023375317866604352339288980860219316053059673023214123013200921644443178529083521363735694611020608781483028682776704044134718106265093008752985748077933815867424686060641663858516021627284084193805530526264360965143429202127589392585435183122037114726132728608369141280435291598225174179198357221029470442314760721147260773001565924799907749214105123367447601399274767737008249469191094120304140415221918466753061785767807174758195688130114730481850889857460784119559250031962538120404350444539262464872510924594380803376701753648461395860667884067223796101691355559181984630911270076657585692856197236179206351616133376119558255369364448597939870196879994856234458670689329861619804013454471066135804588320134682670235305217662337129110257241543209881192071918374546603670304567464198904355114180750040179787537286113025559519980379331597394614623403077598913325084580571597494699317416955478684304233830682700810434343898181902236493696534286340826402951225208303365252896941318595661730074760446475552210194588444749801734241003544601762313546023552456851060486847956759854637353323091608564532349612501289150801812834952329387403382977388137079169166959584637030451568232402127539182490170428333995687071793468903058226849718408889133677681432512972754237606722709310371879139546159975493712564996072216624263882578383966019238738934698657401592355032781988762912750235912345785404635164396190903153289633007107391531126416777353248538867835029783071860781703048674038675319823721752865724545986928204886480008895862805276310975378541412701675472110861295537934433170539817969916450154990833763497172742937592801713541807756225331063291579406036369858141437795655565384310804071383094511691236965145267597328004254060210225857791435197870274361395680941721968428503202025167960660951417706668115556010662791915080812211060839225688463476877349168137434050410462384234283532915564297203225866124175278934460436390847592425208710984430122620214793503809730143905548418231523905034016873317698835102028450778027059879261657248516991385008948206322793148644822861025558550513771017105393774829490541085641957371720381529261747297236812688793944406236175016044695598015897352955973910321052663774482565110369072894304966875489871920938565123261378005606735658046190922525311846155408019934730420330657451861588062113388036023171429842018217765286751868301819669925446737714468984107619678960008670655651503392149022533591669472091801878564254496871825379898699029562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Errors (if any) and Timing Info: Timing: real 0m10.295s user 0m9.970s sys 0m0.240s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:10:44 2004 Input: 6*bernfrac(3506)/(263*1753*4617709) Output: 95063508697389164943242630336812402687748788006153623331777318446285248414543926891125495150839764782590286432970356305622004606213387224140856851946825393665736275164544576725178064855791725414548660424024577348951522624733588695910766150750074061137284531307412306248747480245966035189843172624010745195479094782452713695295027079086610174905023060488506064418535870127027396357849028494087311350038837470189591118954400885894902612690438910569814471815536513236300672280542693252000908706529311879011600200955895507539196668987851706220641773453570197499117139195001091197741285238163540401879362850334667504264028032920213494813794538310597797520265429125634007283011085274447656272403275542643788725967222834597399375206714132450712724340168407771777243429035753456499771542172571581146334483357429077140811013868138142516994166833280972685020014399931791608566048250756326541398584397839194899636672752455160593541040626355734482491666595073878883507802695894097853935047135783444752247155608973106567130744722953986479870271167814221568616091034893698926166597626412919579959844365411705525673510496873744327786464851700489917524693931105833403440530978094598179174088427190100173210781470562430315583876702643347657749753291863660567480689910603313032434018101879571423246517166238589730158937309939162322638004835286614718253826616513017602702913714501631552556286862111697304385010236698582860186682901951529637721189455113923486212576846373790888030132256467843319673450756571910593245292778198208918836342365714083752173723661592050792030163806268860660238262213456760205757773557197999228282631518327845586436399223669612939006017149331624873263936013027064345867182402647136957255086356279237212226335694832577695641892776584174737079980750193456216804068884376543024884726861917404577072735479595161390396632364668242359751525195513756326653325039006698294569173562378508768063978792690776108422622078967209040967437756507428690415196970014292731192069516639721697582551185177672402744235637567454520989831889219581469959706143245312760839432448270097354806839855877050984102234738990325642716009415224951839235667307395465573202474784729260475998644180057448853856857154341794096977878741244720079021732504477599848532324378913262717688917005323590625230292403528319339970514915096398920583352836898251158986555522067712336573156418785199801162325179579192746492817407447325125406501573753912254302387433121154610836259886778464177517030008050036664381862817338610801957858767190564857017723944917426956156121078536305606779285567315218913016785003163783962872549919829819913833462080277404467951939029154044024649834262351708891760541040287473202832552280031399185910591252742255623570762037034871407834056294139054763108973611890835280131669822586662970614944482379773639620850295513782768208763592179625109387052770258057403808812821883868332910451580290824344854875446840822944708105157406962805111893859484967882544495804833357946921100970656104420718750288777496645273589698408229281010855673012513112706616711301849475224768894920885754995798382166797966490466591904436771212470806246787798768244809298543120166920976164219495124458348070958182569407825928998079412327282025672532336771430177804221428856485040579663611845764020016071399277292715982926976144626422441206550136682130964191196258154209284783396251372126103971255475880028710260438199005418330883072743855926303944808469697349688565184804723410871019169476965936231509695594328080288022161755947565375190119986470232466582375085877970504486379103502259629697518348693414100678231813022122510200036367227382754607948734341723901807496305519232960782155982341577849952729719002300904193081634622403641417766183180431996659303083897393981035120786655126992086673587215608213429847300242311552614961073471862782003851879599251444771348604054280269760597161526376247389235963956388846660878671485968601837978534462967688928892781223882990290722779620163456085685836205404154719887330352659346357568167350298628385826736130650870463755570552060106766957990122489551432856273008451289666668686501219121660440171828606074956256797964841694887381271964987193043029258746225281016521164730097884634469575446176809331103882478616535723395703421372927650404552292232905817674832085782267248504405756993399660600085113967429033502353259430749185368217137840020804059888096146174498096985385979231244894820978108387532871751908359181890010557684491404787896716950319786808785077055778092740966876200277032879217898520539306602873759329244884168836068418293978031607407028751988687214193418931066902294316633158782373726928797327121273911118565893730767419335944087942952438077623248818212736723117572692906998372515702631874134207452672552922546344463727248048185210883870625111794718239903424094689555550861553696274121820492841415273834770554440147502639297386968648565978903798723175067511146645566986740110520462644408765378297490532221847709557276264808417340486498644140042534652105341830164913203633760986553996064083344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Errors (if any) and Timing Info: Timing: real 0m10.390s user 0m10.000s sys 0m0.200s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:13:09 2004 Input: -bernfrac(3510) Output: -1028977431014783037972951878241606978636732103840017043879579287589882910993446775428222656021823081635459319978696441581016091719602469562877541891621402727532006988260668172799919279972276846765284344113699840693679060726009983585385944482193409710170271401675202332641303274576214774668624661986544535223039132455375950898741747038126677083163882636303758317852747648032868639474642795970598825968852613489719489958945003853528063329327150366237935057675561217331521928849982585355605819731546556483849048872269654527220650121245966861240747787402492231844425850649502465992708461832895250491860225881659714724103795667340435758602450130072130908412497815519369521622520534611849914154311056303400561526805705049973408473209430203726688351982618739375614577686446076588536718853634611740183420538287402457395264346534797546786858758965169215778415393111004942813588329569977940423806265855154685342880470409875024448785774033460200933818371659916638985566272345320533609083140235032627049671931143656526441703173073980593538002241699694006642069084158211138151582114935403391835559909738029970011733561606594600203392037052943648485475968150309368271498512550001079010861603039756870141042412458441803780918184655502515236858982726701603909475730012826742264690758170318306925563845080990293034308807533601691724282905299278316702693710482409105413357427906138713381542758897418675515402205432081493685908003733385445094948184031905181515843972050083888278814318235280423815613020925237792487326536202415848453124448585715298699994123857204024464264566501346508307671120712265384855885433064115286945302007101187419608587086039903871712148643067326957681282404989347311571385414002199665777514052487493016741955475744727046469166767464236775159203935033935876898701974298148927445977231057542733134440732783492202656571839267491661429238420591330764219151244189370336695547590061349263646700419448362599144803331557259305523304602413894876082992472814393281935603801699997367084330627581985125647631327411073500179913619834759499731703014191099424611899930772246594510554641842512890880569234747440573950752326691727113863108894925164634406864183603663233906592539414168870464363951027495575551917970539991621017943998168563464833175870378680591899243890133819215566077269662942499663768237286003027624158516510556289236398469216137402619652371053143814198613375156659188266779271415212486961130339810070936459786081508412540805933970559235193310048122394958227122414793197640727255954734566912174725691146186899668523278660936532132100148813540774599525555189972252459719140834168291073790244130892699939799433305747691526345619778831038451647426475495558756866157914669956254299022924550607269036942974345033726004129436160011270805798163064276740823533457718128102060192896709234786138146738781618744471219350851049621726095633248691891248194088665602902138866453124110846560884951951918071465041886562441538167731654553000669718407327861550449649899402659408741403922378095584961895343141674501913362126236537410075558445977614552409155294308480859044516612465466739820270007786573779247752770894730821510774881144894916789333083012728531264077595199939507656824211459634076362158378692967199718173084603562013438941662494170925607730433681018408568579418069706757631035516978895427281523859539806155415617480505243342738687636040110636880003115867287644293296386692678047894997283134493762596264725603594758497206955277055106693737783692010406257663672979449237402340948788302799785607933624092892364473515448041777655363086631610052080910510872828795449521060007181309370984240857508304236116452008269224362523078725119296495669819175963545921614305339344245832153508286805897867526647423406776787941320035245942981803085049202628909130757604080670662332168529549126543590042153666980117844212693091187591100488102368323384905835952368583351617775113434707355886607060931520935506783136064586754109413397485009376896760343093422361782924138872693932248149661346396769078051140818608439969380420968069540954413880727926458206729435457639176733683941174955556378325214835809989894808339860283386808028933924321731511317395811662973865672649609575310163347964857311057449636959304597626538724725216348628583434303601978028802131076348269419697093388526414628711649067960074823680855537988941960035931175504321011779667646986386115768812591269421147051111093212073670610423922843464397490897959891558331863278680091751846673268867830246425268370885849822660028740590786739427219865141394702154628599614205225455760782343649252825945857504612223398354478943271794321616727331607929478091971966166045585989019410179561588229864890353376226381164358394045589051998679470247724748772320069690836960049798264204469683994405231315342146962188809630805203655607986167125324860079063921407811091086254686720157452636958052655575135020105161284606384758863566001764741813037642977161844489983754113065312340749411837820155833227720201622535909979347736198903167475856230902256516003371578167775487392894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Errors (if any) and Timing Info: Timing: real 0m10.472s user 0m10.230s sys 0m0.210s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:30:52 2004 Input: bernfrac(3512) Output: -3072840592815544043566409329670893479707496425280168437237727683113479568090970333808835432169223541788645460567839556745850718833693748905760117562339951833819680808549117106237213056014354119576303258483880468213975567612376090801548855506766704992830392441888054975208157403122831266856758680253516163649019247379760672942101974334501900082382434208888784281325529284749311455858397864229711021949300052774936397052131105400589163343900189227482875561819756572032706911496177541352150948885053290532515412138432371433014842626825096870094449180141935472191815207971916053629089638664720326275081349400911228713780689453413438266025841122868179534559635445380491947329020283280093014879382289904376102559819209902141318239128364767253757254484549910566682645039115784102410077006822045120076025496109685525153892073571264187019833396943560590460772519306456742077460820306706462421697565036005292865227568442658198996924007414530285071795681651395994525056661560450524007203969588615164201796348228874690060457340679595365060057103973804604962452547835379498500546615710169236352845568948188637245699457827975950931290703835886106674659884516700059620909465775014408494939947618172068148376246852068403337358408989734190134682265795880129134600868702813657974267636410836360086790169769524385178938609939241459829741400998755956635033214936947044354768353466165766167368532114921219061071858617060766651563629317569391687350795111600287952502005853731598041164894957361229420097338638651086990649472961991024297199096746878757684445795659326624149161358152525321014486018604867679904398755041838158663453756486941936361525944907126225635722628352902676466030220964516773964795855791947996505073713943173202285300648473205097022455599436880207034923969513040795172831078182380825480789797148455522544626441345857461681768468655757055026037246211919456664483225720843075227714368939251779835591169837255121469009555036859696605823251167558337253374842955870665373012155560052127072230139242029855126094414258015685319950805384789926306681028956289046211812665837453717038545258118026001256206927722243459559623766701502381261305416113890229561701746490554880578897166493121855717779576465099178709373619911492984843076358141751630346433640090591112425031015963734616327498376678171494046737813434501260163617200802753516963362342915767339294121475156882834155150989717470816539853000191286758551131756132421822719636650224326450017857705390634916567378770262191466886452905580000512446021312736232011282619983534332440162120378480946631890128333607719680632903537344470868949923628779226197037144853752940583827892291077344969810174805296951963041774045231258993665170866915012355523155183827193535447425786969412231371467420251092677586859792846876433386605526788437249733142311361276668307377796758082157771953620881777112290718727424597508301631809890876484686011603104306423439025545730276262030380974988412539135750462655177707133307346101208111707373162698713862302094091487182697453956887363434614614338474567638665541575504824079725589836882321335133285340448101988645818530259597717766302506978436712927870449683977735861596735809347036081389105250858210751671215293341605254095211156549969670401479651042510121594969327090306172268448837113178867079619680117423133846443472255672218829944517713570040405403359269357967021196084497107399470507131279542969219521539326746647765722138720597862219178588896383893887051065893943672368753129026949054981363936408106193598103790077433168236478525603316631412433680319943293693378804017591962285947560786524018350636504522184132721908364710388914214910153848483315117518306275201469999439573567439002765991682734095470279644012432305604275437498888029173899630746564938625572444493565895893307362060781534533652138332524952183631866537121489714079337671062839320610226409635206320793062304318516408672955957149323545233085992323984384962777646609334814846520567353424505316487707335065877219917481038966553117270804254666638186125264082799166517061734271170454365011127028885491947042078403722202969870368907180332488616518100414705697546266987593205495979969010820251858880491315735080690337837339419077594144349152377839074418356034430980843159989756232861416179857302762610654793184968353532554707641574794814486477466014687743192490990318406667552056579920335520865151187150956009906038599369571041468717175391295961469902427379074063320234596665860474419156286860050900208213744683391784704240962724753910546539161595397395506357113090536319652195714235635515816771855326142431953246462895601867602478887500526715995182547579767415293912764205903162725463162904208851888350248870383806494144932302662955561408552019671353828873757780151332009702963377210907712629335796333087775154168125775615870516261951076219006654361444257403328636978989667886668447256825287403104967539519808972602679260575731143393774648137284167398197068327050340150728287917599216718174789555332855955053851964529122067734760739466929730416490312223780706992981207005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Errors (if any) and Timing Info: Timing: real 0m10.209s user 0m10.000s sys 0m0.220s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:34:06 2004 Input: bernfrac(3514) Output: 96662535406478312057605738349759955618277454014691062701887847830975420624697452942446603020587957323595471946547937203227939342853213779840533579409787500056855490044490119191781524570739066523507119315111862531373744501561363718773531551041180847993811114510487464090512869164813776859000697157632484811638150181835584856982494781381640795975096744687067982668727706497218831538685271691579379569580001216084017356227254651207764875734093574442587023815477675645862741526992295513386222192410859793725791064135335391003142537004839619520222691029722180834695142602385710315587753990864044101630706419324033709371421356324405568108668384840240524736707521138144283999455329309697299690612983408395164296560826594413094804249195012004175514494383663895561296063098468978580665887146775149067150857246017811430730399763091393029687910217279919218711392337877898697783683807778899382940226780165866495710518429598111770704854514420030799090629962393597090817324619426465758037488630301038992899681122194816443538339136349764263448372899265606774034031227495545959026977065985935744453371307998262601075619609182672154109718504789903686128176060009062097081995748477836416174067223471282603007047279297257869750233318899719141171747241513470333542318416183373803105548266541734605400909208472913926148631156978292103257546427062482827367968121240393933060837210136312393707113469974599361745157031805341017630191994157083487730295598028354227977204836377779048777154733466094940814262782873659497516800150467244767742185923826269059584989570283526960293708603388652406122211691387657187773162138690775761179548911146081816704271943539702642701860582993067261974380067025537631985970104172889457127487466860301802053519163596781177634066412941485942452418864928283174134173618750247324092611846781993400295152958692792887055521780930281874334561352116006525170859238378766462009900997067261640668610049283018519029367918664985900510436899499684700745609352309463019958770532375679186499644576809461414575969445450792944265292207052010468434330722043247486785968477183428433212924128333783344427565460256011923325125160613467222114325607073031673306898002631034041138067365299266599546091203642760286826311540859340323262602712353499944042033917055634695019873894723741898514183679893884782430196916463839782949509971043644902286949815172977018930420058314299416716815084371253160534811605205291720455086123930464640370841679706968208439926983538673679789390627522221079109200647623711289240917679263220682867384624279644732545954669894368238194887427972454728407370101927024245194392134948893337488663440771310861880425656846795052910841378235875663117405559169536140792082592512507049447855090674617963426003479050325447943526224565040773460027954668534027425838192177765111150058267466002533624081678203622645130268356252500028188931100388195191364395293754707617972850238547040494515029322477719579327881076188149528952533545090290221157412671723116692129334860148340533116850135092963900762834551095643426954827585316149260316928169239002839081963728684731855451169362389586892212427658285253429330888747718662596801080519313599281842839484411210574067853301061316893589702307155042353341308239724510496357639268459938182943629569234896827981739158122351366920086483013683344844771241276111571116644132319535725942227527369187870662286131931208378994308231834643920851444364376980887795325181394685941414498293962523272440770281572149219316561919832132388858823667749843226535256044208166843956337823243970182952205822053061674483911956098636934073394341389921039830074695615551979603427689778828864329674089819646555739319986809260221566017191572956138427229040825096528214185724740872581535271239294742432528265853868119659964079871617189496061254292504152093353426251908194518529765925659742059506896406937265791308696922871075768487165463530780375119849517674592301487524511751408631756165916422815949452277466974579541470674781163655236275670967933325897496373693350992293084700952672824264713397292926116116467604173113190440250633507685604590767100764490802401885002348789159921100263056829322830776699281330849116172146138993584787568075937535555225962721892774077530498431801473335976003273933883976611746571244540206666343998297466499376274342775983434474335788434020515546228377488872357242817294156316253397014659222940112935324179493041865283015187762199310646546762363340871873631440649006850490724195455590374765492721265101804178961348040510576502324406532183721155252450903872520886748163794584933213350010781327505607194359013998865063745212447511198393087948305923388817380437903025899522162529588652841383841560770381592398284765995357421005936771161367857000999796932998033870536310107203678387036026672012022923254857365672697297322538471508865285612217051292977056847435785860868097749269598793545785350793426857115036801483049644581173226093656474857454249377786320096250114019665980375515652174649073631853716512514126262368105379258089101595194595655691642026339204291158337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Errors (if any) and Timing Info: Timing: real 0m10.292s user 0m10.050s sys 0m0.210s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:36:12 2004 Input: bernfrac(3516) Output: -9940136812850767201715910069932928643933048212453568919793348468018386661024015106974576020192201901918205559629126586826704116458634240866130530207306179195643267833995232691574670324006201723289739546673145440670479017906468657119576801602758926746875827407264215562141317248573532603077702726139182791154709264192724024293080277343180585937578655882482994519070559479330420826929297341826811543025050706496482617035206096847806320294370198438710107840969950128403989884971453016896475290760922212183809738797034505009951364061456741121890304146771728554901960339859732313817668084681183096632420272163673625231858593879079058353336013551861725370468923017129787497579348521038529150168542713871732728084867587067832468054336552415029294782519789813116216087308114090144670752777045717835921452445514644348999420011549089668518503300025768390863049422291879866842280324840971632159196148784096956184204198082759921391229539878127307004989900151892321726241022933566975150474966126055435039211242331770218033983698440309566188164993920070180654274352094319533201020433859486632497435797038065004655340441076578310272872721124734255442613481405018063688252821319354118439486473676724801928503873670922380367985453281003642853697091022937838945147935444109031193697485717335272076743574197007454661470742885532557012898257698775748967863490930430647545259850547246046163853738025645158183184421812517630687423863690488535732428820924512559786489552515060983328656514718580063349523673766127871283763602637386842701620756930902827689942252139461217119320823745313379728514217360000065413533757691697243123312585222897374231508900698655890916980958900415299454838936931085600807031260631891065908682487399825642520334755523102008377329252858067769019428382303748306549966750041081743793248093044633038466933926644830492600657857855564856003745990991019751477577916528745446726159239727449668109625774008476432370256835483229511024714930087366661270465623682106469332840627169757776095398243796818042753889326533129626252493686776179529397312916512381786957519572362992339119663172647785703974967488388472874383893963246237912140350854164239472178145025683922517863853511501435911708887935272916851259449089323266998103260173098773329322392458713973976564534657612490425397621035014052628273213856851519754141566785449831104367746561922069436177601903405589346371389669373750853555030808176818028813699073787850775513712305771337514460181356619863933555329135417179136302726923424243249045646734232192348118728185479293533784807625018262747736031500424384215747321186750176819776560460081447440471135219571915555606849179019176923056085896744268641807459331392527418697465183671644222741720112996124810962850810399472433155227736364877796821800808755885952230030727561969640821086854032241664636294097884258254016752819395168392286505838181240338237375216358765626777678855339495700604248470244107715694690663064549454123127864393852082943103430626873157280677194072020473740585368638579596705531852963667093055695065359830165893926444560919067646285703998915709502729247840086826869153554368450462429684334379491204658905123274536495374912887580126553927178507261994459629364295463439441461416710182345116768305931487088228360128043612291518341085490213331294974787847552641118906264329915734284591389192396273758909013952505441303273382032236469206914179196922678180434714217170263989082249719933965527391643149981064478592477147168973799758355218864406466589617097422555418195215862047150317448961739736157436482800283380884502503306426891205490020287959720847525966550735403409127437517741935130329907651271273868381509398329116914659016119569804019815782203961247899113893458832162275223744611397672655866329579608665749913840783432329795225917468851497503971086312917676566674058083102149636193382000743107622844072388900609736158942650607369683516956987475777889992262548408283209917345373981041791016776744579347834799876625824507743343532449069414689135798631457858364143548904508925869260244899481663489698673994166869030129442707911404832123643317873498318683531636457708814267589949439946346177413455636780666547737348668876979777972259699460836948346817875459029059106718080894503082233143427999651470898859642164479849981642060416313125967548893762720673996840034775307541056082598443048305225544889451326520141671466947148266924746012846516297642210341906397460568348526056007848478352986446839965660902004802343703310732484109701098484867477674129273147589533339639113259388334752200941897206707844369861370385767651594967803473279244797665472828377061900981610336817949264148974067407705039186003337826878980115531459878660493964351109317483651205808049257063090001919716104721558915780172153313910771295967963415778157921109996637716319617687134250316033177735906039518318668220229797245980194018853811585461586675273511686318190305143520387994115172956879245528684375966446716953227099595706780929698465616402793267926001925412178181639453528017291931550236849683743644269789372275368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Errors (if any) and Timing Info: Timing: real 0m10.361s user 0m10.150s sys 0m0.180s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:37:08 2004 Input: bernfrac(3518) Output: 18854417646906690071499413874174393530078700836323940225350591750036987171584213607623827638575677476460053380401800461264832986356990481195109703558292595691902717578741111207564919635645400767997797967506780036994262279108268757691849139404593923571147825416362127342523433873686398403371532914130297581216656707582566056060092408872864280244827234068195248433067361654647465021174703433684509690124267295287022470536382272480013371310145164896633623956495347817071903078279650373549910896724641660468214491947433025461183044689524937419736071048455684403125264916515398441489641263301872528593155429034824054773051206970886088956039898640809135817460595530184856578263424879397488410820345013232042888702723577883235782100861804633793666237508275701431733744274620921724993535411545062357805512852000673703450544707818436215800239658332630173055679781806854187297495953881348189673346882706652316341655539597288751066737844373192397940546504953490438416592563888363329119349721030332134458922638077968033984892890619320955211897795978875299098107800527872767088235206478830401898068000801894392854819185253329583018739079564166333390334419566386865116434151511661518756556286974732253866486876471500414791322911168523297861794599576637915791738653548045982288427256593482808185215075657069152830456498459323461481513369263173173196841140048490013262507816821661215325350570526222634098281000577281001849491870719326957774982097139381678203419114798939538854095229082462884039987152375260360615425011893361941262070845493273278130251566056325581413936340123434802622031868902245038584829662665744685370976601046821477811740689481825746248829573193764403163378436633805602704086318037187993477180770556742992039447675752191637418589604112858573575816868139788175651974893119054341765120555128941211310680453841877377373574961446503056214368973651139284809918883118547669345445061649345253959061449283902480783282468102003300755143251225178573884357074905464961147286016846621137441579549729275952269527375909148222469497343540040024343225062473407292792161263301073972459613585350058093609846682464572605724378252686772570334380412990797622623173813432497183050793940922607899375795842788436918204822360607611716414127107429621354000146204656095892706762440055082953795207677363696248961257078600547467359548260022472114593947680364244643015634200521558316435026107354785646777672455487842477141826228304355666346096643280746785151255453514235651767318808502632078051061208773241723413087212698213014030548215877709295885513298060920603743755496092104865349240287587579812932024195781694885530916238062051799419611523832602945510096223423876507850639584659094692945916050693957930381925036924065530001419927649279387934994026301498611420037929829349820693736029622771038434997251303031734554259725107742846839159776758873433404364124999182748256589132835199274105910589322058194128812397638037255985920691770675274886307777358239962194610046300080567147239829011628405583556785144533222685303551795943924954434500704761903121325245213244357836397953556867115297438955778657127250946726057718020367355097540541258424681510967205093585140212666129850035251408576529949560939202347757392038768635252498547939816377490186921836982250435958994134181458672690826347434611706482578335275884584495855052373439768717415973250147746410468082658428638754177186533527751269565385574790661126289686943741359226243855562566360501778638301813125726958864824194080542498557925399319449592236156302242321381740491548773516257542422907829036325834153950512898618137391773399545356695069572645305311591989234601372356179876773737472731219398152481304263017459709399855300486379399645029135828192730135206154513791005608742285742109732008072789990503733436723353631128297678863808324979733402583211672108822288750014586654352906619900075829545462924492495080248284918157870529321931333630418511601807113727011219445314832194689930765590674570167849939875266450749208430572778931577326931660001237500316493214047602573816460250540261108835963046751262116969057405382655166938634135422524556829415268342574552754327895573925356680752185907540562375212413125647996084219865875321590076637661165960909341721564825775053752245632562524522700024322716134089088474510337394428666100259400765360065159434567057319423521728719714535620798014695599922203042458254480234369950747443969576198029293385086267986002828134235902626738799296648655055211325022014070286694444853708359614012577701476037953153471605224333607380781615777480356029062462036378891051986711636278952027185464713581659048100841364548529733627562015759775087077122269198343330996194472843920758129060818545787844056983650401886170826118595791360884194638909272436460955351190882698958782282215431651752018623908676693835999692729649301948541819248547536835782510224202040076133409417079902485576615504303733657251603287073595065931535163846990604514585198157472264106589115633078607388944782398702361254921815640933066673892237814790114624863965565021608793104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Errors (if any) and Timing Info: Timing: real 0m10.407s user 0m10.180s sys 0m0.180s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 03:38:33 2004 Input: bernfrac(3520) Output: -1443707593083352220332281037727012616272721865491948078241823051291940793606943831673000313182702431434914397415724969358546654801190213188451990793058185728539965705706839584120136674687201048538090177252126962382291589780353980954309593072125126354669423135679558320683170109126240962262582576050119515152940893893829965700566734015223103128983463145429825747611888760526869124679133671560519827378148590827915969265071479963852717463295833480486074087039676460039349963709665727188651541757084640718989965254933887116365940171779068513215813347606335776129360262262071619155772664059344763773299914268218993296183298641041215512232168226252960575213499869355727668158333372583180231290988023913004185673817958154459109991061307371862771014076184274892690500559766751424876836049392340263473358746583782065977269543570529779272474513475869833715333463362922510938565633831470522650319610193811154077367792357795164436206074071966014237271175148171498604412165408549084688852230178859569430765228777302433829063319064852559231485395633012175860954244833200315995590885401706513826927691844678841256433372667590462467404302460278024084102753452156020846076118902816747543991062784752342494882889643998799781025306814845559473912212218555315245149231897050170706403586368428283880438453180906927551720123665452348919395052107987767413228195603594110196244596327346218429544865756561334891597447052315904615390237398373067298506109365041403191456176494064344233246426610843809519517438322947714059541782989013768367346544014528200642683642076620543428035849078384833247829544677874320165558375351429483082206497206275531699926972154546817876889290705548447814946587406208670325386251548095595860439576356034615929253263945076995913683253310877381918125150634869640361845178656174425256504439100715297742595636914128123596484942585649114166326768339557609281843021189304987600037627927989042125542023521335652105118255846592077793106701150631325793736509284643183076541544738177353039626825218322728801522746346874375611591340621042114910985951452858328316210569041765696403616730356029155779624297207124036854588090614563130068027302411339948734178296056241934815949445990136706787864314959845179128281167510949468577181865103554036374281967465609293124821037793801547093079310785112853663256340674328901990203808329378393916625724790387064027346714122103683514733893936896895635999538710698431606277207735818856898445037320126973472807262846096347686467923317960273373278743060861048811088245997420120643448875608486479767776512587816102125599729586014065921021025186317768710748616258000595587574130344312466638942616892182991516401899364243520884599074038519540721228573223238273198744526970045179411618514488676523281248275742461584676341166023714050947350426702958813137695435272301735393720986644932422252111804210491116868032515363643551426651252813317930281119603616305943362478619145539760152117834761409637162996875686322270624475825320234046628885944204729286804048649711682478975775300884797708620199989477975055159672638374171389866410176311333181100343649126102779743815670084753932746947714462359522130639273551374231907013404260431036188504638943241210064322633689802209521990967784668878786552973616732241615126985106638047943685383497706337090560628318114913947795816233821015702970979116605803565876172922517862524299611605051386577266359558036205815608071825010446504756380227309392743552130336550005842028192266769330170503782249003163725311262518612825547453185887943317944957022266190379086766661059695364500023675070234708760440409435652626668117497434013441132108512432182215431148375993654086104381440962146341843640274802966859248884188169606123708136960726224597821242666578551818732989224161522872499474009084811250721058136416898314139103380684600233297721972808854530329396751112291792529874095557635735817250742183426819196027314151535498890112735970818879325352708604852446213859033766165004078445355337257780879775974240927230454635683579945081867672831324921854451108203146817371987686209550810493843987249337110872363533487362956123277241163199946343753603676985836480012037297179547210352429547272668170076991133282883777273588345629758194104217164690326398137204425607670067894028380364918604115253271963861571845401979787349167515392265407834789603303340907925342628441969019476628894644041197588418574481237813079687196578882249683440470607032548877237889989397083896620701990096381383776599244570230841054522539268879409575162991958221697421095338857198480238198329219245248496256311048166725882512502555534003507610442279424923594298920234838986916416892828085462001702502051372294154230729349807599473070208883788934431485616379902019145464345974460941394531517214065136199907094015989903249474302943546243447078313121212959767334125208804014782315815344654255063181129882462470377986216078547911922120521904767404348521508663110713703403388451258656785726975057379183296563917890389287500342896464461481221339388573695820450364548751374666222164997097352480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Errors (if any) and Timing Info: Timing: real 0m10.465s user 0m10.170s sys 0m0.260s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sat Apr 3 12:25:25 2004 Input: -9913772671530*bernfrac(3516)/(293) Output: 339253816138251440331601026277574356448226901448927266887144998908477360444505635050326826627720201430655479850823432997498434008827107196796263829600893487905913577952055723261934140751064905231731725142428172036535120065067189662784191180981533336070847351783761623281273626231178587135757772223180300039409872498045188542425948032190463683876404637627405956282271654584656000919088646478730769386520501928207597851030924807092365880353931687327990028702046079467712965357387474979401887056686764920949137842902201536175814473087260789143013793405178448972763151531048884430637135995944815584724241370773843864568552692118739192946621622930434312985287474987364761009534079216332052906776201838625690378323125838492575701513192915188713132509207843451065395471266692496405145145974256581430766295068759192798615017459013299266843116041835098664267898371736514226698987195937598367208059685464059938027447033541294245434455285942911501876788401088475144240307949951091302063992017954110410894581649548471605255416329020804306763310372698640977961581982741280996621857810903980631311801946691638384141311982135778507606577512789565032171108580376043129291905164483075714658241422413815765477947906857419125187216835529134568385566246516649793349758888877441337668856167827142391697732907747694698343711361280974642078438829309752524500460441311626196083953943592015227435281161284817685432915420222444733359176235170257192233065560563568593395547867408224686984863983569285438550296032973647484087494970559277907905145287744123811943421574725638809533133916222299649437345302389080730837329614051100447894627482010149291177778180841497983514708494894720117912591704132614362014718792897306003709299911256847867588216912051263084550486445667841946055576187841239131398182595258762586800276213127407456209349032246774491490029278346923413097132798328319163057266775725100570858677123803742938895077611210799739599209402158003789239417409125142022882785791198173014772717650844975293358301836068875179313628891915686902815484190313294518679621723972074640188381309317144679851985414600194674913566156603169774194333216595150584994909698438207241574915552352304363954044761141157396207779360850404479844678816493754201476456419753355949569708488531535036332240874146430900942697440752649429119926855000674202783849332758740763404319519524554135754331174252196121890432401834500121332109494089352519238876238493200529478235691854522677821889304432216162297922710483929566645970082738677441830946560825677410195501210897390231563400171271766134335546089569427158611644598982144019677831402097182268639427289143875617981200649118666315907368489565482655544687078243256610834989203810383028727648907717570340029037897592915807345656531224498185044396203272558096588079438975073065566104233182309373252358289565128123438662777992095299880745330417758984210758237500533337122145233429887392636466561232345245552582357151858502495831549278228086795338929244817654630620958089435963842504049098279751042042763265088500194370831393521020270527118120104697825450648427157320912261018432997504066674210527319536849294688719836336481403524728208033273477391813192966797901271740425243323013497045714725645621507929867466495082985907448066898568041375137144746945058475470818252144967666932385879328666066016538955262539121971293823001791994583729466963557558676003896900918862736533607993760077269251953915356108038477530482934507320088480448708838696237486526241106022750498877045138410177311121571575096158667636168469537081324241753613805546187932658402917748132694871018686893056339092266523120734393922700693853503456357469910631720079492044868908399985317543338422600817790030686481005420892910417192648853162889278714320123162653580677159844106818949690016001757593992187246174664729238022460174134799870081296953689679960548545696266543896209646778408521621739146330231327303490189365470416720728511057373439966442892306462383440268826819949069738687114302710398946614287763066838366674024044673237858711430016439026952173173862350478844008283546464328741421273647559669579642717967839891271931397591807042531652336369855995445315267872657917398565606133087400578441870917251161401334700275798447204171779639180875476822486677206978834470363210253116488940871975896338589556206144531580462152084730322288338062305286329396809561149196824134753137363345148345266131133458768136432101308823414880813941240716260984299169314061597349614447465272495211641586514248384782569049405786120806795674381854428402762522088966138033101070661630295276278764623661407672275272110183517471023263151427233763281534951106065018402252673645968565874250220473674419589227000318002854989959319087271777815765178024051930338422531472809348490487916995338422462727682935038829908519374987517075632531663341503055232719051884976015221167031360198347626675313149266610454545744202850525187512463240849121007804927507387259964273962443539480577805408382812382022796109280730791064219776570922091874796936411252004902534805098029876046833975236244726103232266902250787384898374923632595837916220656740271116342398229018117543584859316142117031865786719278479113488944255868768503443110360885456997788857779900065917999125753018068847785043458972879696539250671553906130163792030553781960256410358509936116872217832833338013227322592062947855582801158469924296593037863757884139367470136361425476778191230090314917676604149319127071774906958529473836014915402897294375681167126916949862597832014781650873638547630688410145407593212172655810660645629837817884075293335019755163136639441979822464885203421573486293114479879739152997779902665971840496969853353090453610205638997745554980070277100273409078060471671648851462388082052746496355884898652350882609070056320039353980027895672386776990591007467049674655517808358788753864398367458717913239383213895981438261601532233092732153048249238392050687112664869354908476810827944108760280730829992856040304927432216095796069567102212807973229962406153315471104057051479958844231419663809823681425068600915016365681113230434395768044404039523326357931694704943552391014120056159648711704703435539206394429116743343344850212083765384843050765767824745884790858642224738824133285219148049864821540285636598216545615564172860762826936782292869912448749873155589051227821844930304421717962624095227077625368194008801374066357239931499790692039893202553980673833428866538480200553572580273187500475203036640221740615357982442111697333091484483392670442330975667933155119000742859591102853781492741168993727873480576066470782215740238598012069359518608174247006244438626599794263956386432387964484567461630879217364287524775379358982232731776026032989808136983070532739098806544356499670154766674973368115529542801555689743789149645672038337801153173336795320073998423207252682019208689383163585700445298357631164824498090347326595278329649153215797672590164722322293696800136859632338344813109033548088638298896062770362881956902137784243291027826149852403025697956867699475837898166218495256872999413589909219081536737011381613865801564442763431763315852642417806765512130276947408511465489518616079969976247790733646873478422900072313778470938420586460685677090427921889975507015189927532979311665403823504772437807099286520206746926549565051954852208734512569746140968648588349612946795008571457169909277594008325573612135327421672942366832672748112855954032355159319411044585475274541667609638236548685767166796126859042198702738629366411028235767546014843672596998766704783479358812610666988857670393172835511313015844819996669075105723203178782401124725077849862715998457273037814967584288840960135837727084484639574063847686767371642174825030654948671933792482841995545621562863239247161025919159147286246362375788303150780970684116762474149977337479809208717168755824531153584711849512513803313706351295928181534251620667661342423863526898917382731824805051969563520988885368077866344649361427603430623522330681022084914507376263458568367419754426554724205000498999071728089115769867939770666244861484006150582177455982811019974561163472574491015916186598884842702094147622162740927888274939042135655208709287891503085081470258779607 Errors (if any) and Timing Info: Timing: real 0m10.330s user 0m10.120s sys 0m0.190s ************** PARI ***************** Host ACB6A2CE.ipt.aol.com. (172.182.162.206) Time: Sat Apr 3 18:44:03 2004 Input: 5*9 Output: 45 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ACB6A2CE.ipt.aol.com. (172.182.162.206) Time: Sat Apr 3 18:44:32 2004 Input: 5465464654879879798713213123164*46548797976543213203479879797 Output: 254410810067940999861148257586801473472310447509053676317708 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ACB6A2CE.ipt.aol.com. (172.182.162.206) Time: Sat Apr 3 18:45:01 2004 Input: sqrt(254410810067940999861148257586801473472310447509053676317708) Output: 5.043915245798059599480633881 E29 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-1121e2u.dsl.mindspring.com. (66.32.184.94) Time: Sat Apr 3 20:53:15 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sun Apr 4 10:19:04 2004 Input: -9913772671530*bernfrac(3516)/(293*5392676671) Output: 62910097681666003285514060495687069618535062631595193385764365791786473757329708642257077501637628114837052104588050685581040652905687101743219611172733980495288918824937969892601807120481988420650062211457990086595926022479531234403612027898183131415639688327192428348217880061212849809989613638970623914754238099591264840811359675190595843508231097808275395541931546777256433240198732930623121607603702359667689012655608702465886421832897551689315813739066663851857875526130810926825152328270705054653023131878065740644107396938217212307816070325863311706188355591669568581601530991536951276774264698128022417936013633500991180219531026085215542303238427362292858111821716376797041779621317452174334220959105196554176222280171804349720326948414564691980843490712349532665898846353114980112028729316851563340949097569030446191726282349152747612275287915502122308993701431564577176039646098312141869932525578917893600788893891751536739198801559502671534122893449094584388084481176556359206742172888849703410163048569877962985102414342893698211479807442499880778893791352043027137258124323896005814167476532200159142010347594375469471229329072522850522905363551413831039724547472765369464049951736269674663976756123884649372924655034731016936459263364739829279052442595037818166958619965025471244008078110359413877435196750239163842593458620748009276687442243205093359366970503335933764057280603875916063308735357920415027276732786816020217021379041882525036514443753412503717775794689948999444488945324821473597282010176675790509663104104675078675699289651742278477395728386028630999827530660061540420118139043164998477094451817699473935976813265705749581349708867819606454209151081681326709696461961543929520633449620746094807832117188260004610622348247928406003149040380370092206256857599970025619251399215261198902219522531864941363382758016335060775435328667737420998229670633224534172873105599772161778767842875955357604127239433585010871660098049145244779829804420856400217389985225774511334375831873773336206533989730888001632738648892746137095484763082195391773350393292029095707472569544787968945560083851835134542408932363458251777241572277521828892892296446218953629569047708414040104397847889533474720994719251128148333514228687294412989354658988815617590536367137734642320283089498617684546655040749198801865902618198992066760932333889270587816016761966524082029714573535589846328326046276786543231172747551482958670752075820944803713098029850431566800427959513157817030530986670538638234295783020976410071065319423314590583644421519884114550247554531900869459651279620004716998661577514989842345395307800592346382101009980905173140046520522840234752660361974038028327533610610514121502024877822976922142148146699304401553475668447557210888564336743447060089014949999620014187431775712622754445765039410795428958859741237102208419090801863040257422680208233353934635076597671515089662150557358559622515609898235131595577686237093009060482319174621639287219161837275502082433497716140613223963153189910835194039073611487084853023598872213643820241733209785911341819452218779338591563938637382608217628199316072945439905324054498985777033024330056620304511359237301665719451335082927676208063632873973561365787082725702205396905900822003588553514124107769573143093021036911720683529731178748640013039235854789854984749087873426772831640418758738310186469106038076443999223767650088381877415459548684391599432585460250902310445136369690039223705295806903966041649099106830463097155833104863792331205633344701895591460389250668353841262242568978046317380086876544033493218257585746271546465112270469640012769777288858348627834579846501897450477167837936195579206644673856603708328028712471437781609644017755102970585117033082145070753494837472631036622971712124131025622630022895878503909157685469120156814338646313131406392387209822489582323995840067179748683692103644464302193004787579900498440784844610681729534907400709073540279217363578963020424386901475858641678616604876965719110035999493548526186648853205551073916458720776202223272746560621614835109538123436269942083349055993689581923079914215015514939124350972592808460184082319034435291451746162209583236981032011597715937266070736558623694738971530484853441042360288972067864009341400460645113319115313891301189061169716527278529713521244670374112468126651410500100676876859310830751479603915629680832631699868304753022201118399109060764476539779803463475154316830209166750637968738842375341328114666937500817649494571079720963691532645576091700874315276610485806858725613307268736881811751674926861779847886185884318698680992183371761557934124577867585308541424032946481652750659201349688950985741710865454773716036113958670994735187480423390641844645913217356265069324574365626634281763909526355444153700320230587592720330555716561526327080318223416683152607761907953955321207227109038828417615902158322617430179555440340243318018033011385304391228609971820821089373780307664170836197735741237977961325470481286862432407432581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Errors (if any) and Timing Info: Timing: real 0m10.364s user 0m10.150s sys 0m0.150s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:19:02 2004 Input: contfrac((3+sqrt(2))/2) Output: [2, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5, 2, 1, 2, 1, 16, 1, 23] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:19:40 2004 Input: 3+sqrt(2))/2 Output: Errors (if any) and Timing Info: *** unused characters: 3+sqrt(2))/2 ^--- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:22:58 2004 Input: contfrac(3+sqrt(2))/2) Output: Errors (if any) and Timing Info: *** unused characters: contfrac(3+sqrt(2))/2) ^- Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:23:05 2004 Input: contfrac((3+sqrt(2))/2) Output: [2, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5, 2, 1, 2, 1, 16, 1, 23] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:34:19 2004 Input: contfrac((31+sqrt(3265))/72) Output: [1, 4, 2, 5, 1, 8, 1, 2, 9, 5, 1, 1, 1, 1, 5, 9, 2, 1, 8, 1, 5, 2, 4, 1, 2, 1, 3, 14] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:39:59 2004 Input: contfrac((14+2*sqrt(149))/25) Output: [1, 1, 1, 6, 2, 1, 9, 12, 9, 1, 2, 6, 1, 1, 1, 2, 2, 2, 48, 2, 2, 2, 1, 1, 1, 6, 2, 1, 9] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:40:21 2004 Input: contfrac((28+sqrt(2384))/50) Output: [1, 1, 1, 6, 2, 1, 9, 12, 9, 1, 2, 6, 1, 1, 1, 2, 2, 2, 48, 2, 2, 2, 1, 1, 1, 6, 2, 1, 9] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Sun Apr 4 14:45:41 2004 Input: contfrac((36+20*sqrt(6))/69) Output: [1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 5, 1, 4, 3, 6] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host modemcable030.75-201-24.mc.videotron.ca. (24.201.75.30) Time: Sun Apr 4 16:48:41 2004 Input: df Output: df Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host modemcable030.75-201-24.mc.videotron.ca. (24.201.75.30) Time: Sun Apr 4 16:49:16 2004 Input: yvon Output: yvon Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sun Apr 4 17:26:41 2004 Input: -9913772671530*bernfrac(3516)/(293*5392676671*37137935265491597) Output: 16939578690073754340953300639669287130219545978052299125667913779336051308158712242497466062458043178035690250796921777541080868540390792393190026186535891891071901339408089612417204276033799151381423319230890670423901716709692625713794794974550584626619326396772211684329478074573491765357840002103079250871447539139922549278400985075559082673793371956796240463947890032200715601786634600041212384469930324009051389816520253137428487341281251619459041510564586635996166120324899058224425064315192964139280762548571355032073669509706110027282845733280453870917158125298768507966831128385256031694519145257261077061363727952251213490426859923439043400319778391548165110957394535808454172946153038529336028081127788086394685182878883868541730541761773890869265915494180524696431203177497334434320204151301170189309493760537160619477536184522028186777561384832844563520657061136506004169021431487756681312912215501314631350309645403154300027744451683802466556282103794392923622481293791160124443656949887811854799313573373903388872048340694894303695412682226426784649990659419517137078584082477899096593217069355394485699865470988188980741170183276291199880887093499285465587460856667183262314960041774753716322716457192451172393956536461069667738782978406565174314320991112880179482376538432520060587621618801630105900663687508347264580933756906689989481308455646366715179832658240729405431032870998717897269806575959628949217118038821373194444425175841986978647291372550755742206340803391687529911593480009066582469527191201959055329774849318829933891110940801294336813535559061236528278155474000163099929657122046627734588942881624520996536078242548020375458942722826720255913453340959906516626019339677619904349493924277872746020791537783797228788227333698634843557885554694215610091687300710954400187933794717997802846168587416854761291727848383492469294429067392216979137811382631589900437172682907265685015977844254470466748777381655221375757099958658522496886618193760859616536939831752771065995021512405649551796799848457201647617888214580508665826188237429460689070117650061721988095244828729926738524937022329442685529524593475114941095450711118594779145948210391058356897775802320563529930669580688424947527558917251286720236527023176069234244606134024107822562219710522679314056827854816512268041570525650911861842510287206578636370603476380473964483049669232139163967607380105908518337295304614893564462265150195355927697941497864784761195971240542416625657895597757718419113598656968992769447325500670428933618319003784443186360882744183858564547556922460826774670770624493395437015464231496713830144643825480205983398940231531763982664825851077541511049091801635275506287024316403580028895764394033394315376402561775210261264256001356498256262026390313569240445239391482497472794901103829418543193509533960247476946835498559250630982077207246800827712929042584407487582457816734465760455957874349355205946785485090648694487896520485962949437824873335431664778127900452919565222851586190015980155100467526102611030594282704901019983880918903777040908193789893345403567954355230580694540883923542160371306565831437888506163918892648570787323061513039324590544567533752451780182743157112872538917694269240073654405720892027331177632991657673263202649504497839738546046115177512311365013422421783459021010738056016104472434660143656558091142077776874779973909841149420341531152833443556508248231054103503089641182689323929129260594829914093006873350197519111919843591988819340753423834952992425771052625478134447881439846985298237579718899539373823918397185429759998634282418010694579781664867936964704492827698805942836736980367445142877864560297737106244781037054460570387991967632239854060871950871052687818221090945642715116222345354593992666357885276052050439218322183707984048436700234056357539848997854322313615995599357545911114572883423119672079199297820358196680496779944891576176169942054934795035189621725436355603062184832214237227149795924198900139352385708194635545261774048973933531038170053379629752742203201738737080941690567428655457603692137951782830635513277406430701181471879700457066416944373739145600957995505861061838103727280570328283593281182297050076130173084743029827355603479472993051027009631433185839145357243501233843340796645051945466702140027441905051253121649215400070528174573056601375639510817115651960010650625475847936353396406272484314816845473853323393857711075552641626993430529295829785914654949906006892123987066005221378462145038179678556851930617845394567467106233321440388424780363368638563983356014554650037100860230178716971606203273932041712358842566087142320557736913327430200529856834603341699351103937589393944629878293320412110428758789401735693656107226688392413725513800592894224697986890646242361416387525586683725506516496099435983742286294061992906727421786423796149377529500563809195416823379912712950292452835586493303609014976955959735002980223059636108475045570869480345236255766279872364128762594659680453820349285168246201860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Errors (if any) and Timing Info: Timing: real 0m10.391s user 0m10.160s sys 0m0.220s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sun Apr 4 21:00:25 2004 Input: -12074896022970*bernfrac(3500)/(7*13709) Output: 14121251465239095277142339420341751208366493691265196991897567898535899363218563314347039910686374643883693395056994552741721008440618791359030731228108986129509983159117071884528938700765653458058209871181310846546496268594455540850688018269061068961394425763684280387018739812051724322808865275629372052173310852937038932784669378571976585521113687232150445553907512455748930238381248257690302224069656942146267545910654166107218238051145263825343291359692032017390317048973427667830864353527793961163663458631530647149649602552474209231529998602505747232022743679796354183867231287733571776495103264393818178186210647005318313561313094970896743117245290949417034415760599673044587996310000235357292536687388482321079613406541663433121459443851918124840237565291208166326514079207087488308251346289302136339097021510295649179019662684160665696761774634743547936970528660537502647663057073995098041187991388997270774663963894662954944394952510313993890370437403449751035181555078407947543712159394791046693049716744978552568443665355777676649869611096929046145689391836062906152498985671180597663758895462696074860401548319559487746445955078964544474834903510739562023093798643934225779065853721288328308492239868025322730313395845790929039799609830848531380306209285028262798072076814054141989486688230305750083494857717737962517526012613637194208399096958729750604268615799316992135791623196376429302840976868884879349629518978353891023096296454832141667519178572014401441572445433660330437339567763607218561120763828250834422834699912506137641092315638650020935246304827990713271423014138771842741277393261183964431367243859776099377293438027983314786668330729876472897624308027765274507743476043749373380095776137472802264837188648176272397908356440045104436124781191397100453488887544103644615109083633123621464996575701955063118784593675080726699613616139007378150855419515233467303546625673977602831054677649612441382026950584704440966457159190706827342005328463844981205723011203634079688913557039705847539157425480534980055455789508729946467355741343800659240430513288784762210873922859412696300232592937736993996215052438650728125068928506667425368203763806653050148132506541611956352601210401519596620580940866344408553124185756833348459946192073692757951775729778558078086089340189776104089393724759526349910272303825033689623735522631598362061932010112807795727306674412018157104473883182557268356764270320686872561348547888411164153464027252250269055633367623245178516894077018196010566157404913033976816337179483410036550775991151860907115014986197232132399313043836883342722978021254210961075371811904385145559885519395746043600215437219562535738744005771871902876322561262531589212976473482343219364427019426284549317618726254909708364527616873087368579450641965512269884963149844327017181076278730056916539046528483636342231327210794121947092172999787466582733730186562593980107922143721699653223983385747428515032990674437918293903779198134281938678321881001585995313951045203311479679710044833524630807816456792642914527660805639146841414233713794941994378320242697926304572168201654479564842291861066087410695704406615736373175538155686421188563694648341132225209602348199759818515738960423440598304526398518036124698293287034032582600629145598570932537096283132255471225112340656117785440973780085099650811493424918541305787268970984066359904276745335360931199782079218269968068175453267222126936282234819900655579107652602096887321566414931514399397287472405405746230732954506984847462619989881829400550440266993171013001565931913347833424999229394710154511708779939621749222364655547840237077268095572359660608760991297599933602447289049422508229157161269351832193604324426980378697270916577991546693628830263439106286158119014608245160109174071298091606648120694005222087720382386725733971390870181166076151339738113771252279007090649517596542962559557832849519788163723367548966174314246357106419521848579137647751951665586846586291200430842328864809234003907514697356607739213850307186982659961461284516127984091511292092901901806369942789118734978012452355838259494854517821552634211117119104770363457217360223145520859521009944425944211963042185364851304197049262550946458232813374380682195904966334486779927826032824432941551225197167452390325097001688401007384166005131555100403634060270540434620993146706420520610095713583627769650802980860711584012148674568479645308464568124170013714372459197824852361524834232098882276516014975600438569374807906793919425436861865752948833058977512405376570040383942548675454487617687302661930022656902783080567129957821451738478321884509655641256463077268246056489500418357719754981316538378412735505128956613373026931448296976771878447990722542139759046823338154735643609676938238000663058902217789174208033887021716206965274068286760775855573859231173691774078264387293642135550981964583604915674669294484677979910391099939244825220116170224623970610093150959280655057484566588387744490569593229567635804453243751234862303307752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Errors (if any) and Timing Info: Timing: real 0m10.336s user 0m10.020s sys 0m0.310s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Sun Apr 4 21:02:22 2004 Input: 3137709067050932682*bernfrac(3510)/(5*13) Output: 15830422015612046738045413511409338132872801597538723751993527501382814015283796545049579323412662794391681845826099101246401411070807224044269875255713888115877030588625664196921835076496566873312066832518459087595062472707845901313629915110667841694927252333464651271404665762710996533363456338254531311123678960851937706134488415971179647433290502096980897197734579200505671376532966091855366553366963284457222922445307751592739435835802313326737462425777864882023414289999732082393935688177639330520754598034917761957240771096091797865242273652346034336068090009992345630657053258967619238336311167410149457293904548728314396286191540462648167821730735623374915717269546686336152525450939327744624023489318539230360130357068156980410590030501826759624839656714555024439026443902070949848975700589036960883004066869766116104413211676387218704283313740169306812516743531845814468058557936233149005275084160151923453058242677437849245135667256306409830547173420697238978601279080538963493071875863748561945256971893445855285200034487687600102185678217818632894639724845160052182085537072892768769411285563178378464667569800814517669007322586927836434946130962307708907859409277534721079092960191668335442783356687007731003643984349641563137068857384812719111764473202620281645008674539707542969758597038978487564988967773835051026195287853575524698667037352402134052023734752267979623313880083570484518244738518975160693768433600490848946397599570001290588904835665158160366394046475772889115189639018498705360817299209011004595384524982418523453296377946174561666271863395573313613167468200986389029927723186172114147824416708306213410956132970266568579712036999836112485713621753879994858115600807499892565260853472995800714910257960988258079372368231291321183056953450740752729938111247039118971299088196669110810101105219499871714295975701405088680294634525990312872239193693251527133026160299205578448381589716265527777281609267906075016661422658682973568240058487692267185912778885876694240732789652478053848921747997457838457410815602939991147875383550342255300162379105269429090470295919191393445396189641411186367124752229617917452413295132364049752409115990987213391759445400423008854644891854461409554122215356439437920510398005825855259988367540520295624093496456352961533288742112092354271140900254008558295944591834094421578763882631586827910747898079333218281027373406387884414786620612462629791689016638590962166245138008603618358616124959922434263421766049194472727014688224106341149626017633644610284973517860562032801540750977550378454239310614957730149525243602589093442926832782964614458452820088426023482240304289708283871498868853777827028710121764153173143061891146932419523645276528385134246217375940923250320089202508681180628054360887971201570156813795526689017509949827409519145711066936169994180401471280749106019202985979470813879059483894217089947090537722337201099462182870191408279503563916200010303360112736331545379229221579375519098521882739932076336851432948838490974801942100575539623976091963300806294696835515090139146409422545642151081077042870365834580811859918935715550382786844537181374355123272746634831963003075992425489603253225139636340898133737956918741124378516338668291410192218014240118929748938744747208914124149334732785161799675314265869597839073940852547961238542205272902886708309394413538509474881348373743021333733508429153804355915288655327149624670688592264722388877770872211350518338621634733287276606911344651399212127735381317045132678352190222669468431411963928662871255539262783238628812750699223400923187404759553603705500127757478714646281064990192662749617219946087227987322516091101758543682219166648515512104706121038871498821642719814481846696091430489278231526194290909703963139702625574341054300755792978308340825645847966834041432172116786161355421051128998551322344132051563350386360533959321332416322023399007796663631762873140144821499769375029180928355283420950506525213426060496125379405329181062739248320286283691836621861047223706990982780429637818565068237809833488210522171922393175051157151320153690689359074773590566277368214220334330943344550948661136394963840147312464051507151650939345379030143147655792903457311020748132052835440030431212340478097665683379955282900406378903256139507078074210474700584445260923629710392374169411994886876713632550289424481068017646940170664801133394006521889899452269090737844485512797896595078334643794973367197388406542590321320766502461980624473642145034151771406072340840439994064695776242473574517680812706859346224803436897761214511873758794103497409352761201414953325631470553677221695070178280459459851590403482787143975293009062338441222619195765365728001072166722462304588680068764369144695866389879184033673994320080056240122864109620382462754829560120170632096225949540883886722431579316540538770848635147790534751747169257919104815963738110182222922826986354850959088452489812617782049657233871115937076605349787675433345782403552342407938513408894888853652198378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Errors (if any) and Timing Info: Timing: real 0m10.534s user 0m10.040s sys 0m0.270s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Mon Apr 5 00:55:01 2004 Input: 3137709067050932682*bernfrac(3510)/(5*13*4206034901) Output: 3763740051669163916442122150476501272587229441427481809664975840242751712554987318934180028910003282540921988851109417184173149368454853923303161686178763383465569247929943460286525824169942348586343038649564236603338273799037575155306566751350844697835580878235002375555576913343115536207353106377500149783868605338502802436562191515485869106270286295225608066758782989115684320027226063157046198121160879177693471651320411045904308780200089292301728911825276573477347445814675631098367742283658080972437132431421486665700107345850052390053211698812300068469662470352465016470640374975723302571880196438281874659580849904201590524603100639522764583386593164024464598057681853348023971960602456195506501216576219568169515376322398467042722722880664646112226746050616051328630295619620430213110041092604086521108034635817710753801757784412454808653836641135685814537834129076765468346872839282973178846450128434615063375633809900677580025546073400594882640317258912169682588489552939865986402540282617726653347371235578307742910484823789054931141114232475227122381818021238538501153901165142226376740016871100703799097545767325176474803417848987515197736142361674546862695994846556961815161352649857228429779821431635745478956496264613749846073580497094576798368909493416560131631840336863515476986432414527053769920433614070729040342617892503199820373301593866668214797044726726098943351083734521413691484900619224595610118175194022444690693164452655427594347685529383142977965043394625148193745251810619415818494012826787764354641175380588817290295798700072308711988945855771279443590967054837186913282753852776961098218052258693374406442219146546869935188879926946690946089613000546044412891000118569841740184089231597129991316317410887850851756964113525153362263304112972873481616911396865063476870823092741880890564941419990340616124139884165238095416040516110380433630927137485378448842823879174838651292872311870891861931701376508876243550082386414076398135921813096782761554355177681083688357342437677041484188518386585265869007779686738265405533634099138982703406335596945021424697468509948389856548218319553879129146282904231639767939551658124495851017455927426982944038924274352570060769662608765264155406069312699561434407222006507514536667504352817612443319451299140078517691011930120062090074630185292549072917117915777946508001142863456906895206930209762712161818881066481165752644005607233222003092697741404443511593471204199981116280357978875086434624372616254349223483699338924325571026928964050602937441844556049734215351141466324788933138553292037395328671154933573646407297568162277266481116348703456948200497184673672369955329305255752519260588542074048085304526076529323697003636745744727032222554868414993033439902310146969743518077944947602136307179637878978857531241857336031059040827266529657832285401064787966462482571536317232954382244077316613091496334813157637467045702525156053479994531211312980022821584312083275208509552313289132053043447126341363679601300444118411391892252380076143248252132392841335770526621418426287599449096778321203509928049701380822145151479773686009106073840157810078329013455593119137228678921749887779265835817003655704956866904070831902238354993711574134812033365529179191715917463745491336983846134310560095548000580368858740068231687228948636071374330528538380588417016254404445897282988207634311395302190654298022533016970882219336262071390173818885434936794498291247268043378158915239499277109606800885493805701355051056287304222997620426115009707445228689024596532436442457200329170218840452436660225640668644741603299336364714525101539248088389790133285142138010981304319896636662761515625032537555533386315928742861879794675412471486460405498629193636220492521831198707471426591465447210426172909461147801301370682168960358288754683360491727911314866513377286673399040186030099718272249873173492708333884654163982030877540895524719012106967017651898788899084536710857744960615704889374635385633805373249607531665902436667936648639954274370683284777380115331962105980886209914460595249949442091515629829805150092869781131984733089496198233607623176575807244673301142600560744839107113084904963204714893767198766054685942240067233207514228553029320865219332717850964042225779353650673685387092887297764279656669942171379690266732111675273450231499676614783964408362295838754720899323326287096867498104750841677935446570240494799626448578894661410845739041251905905991244029481376524203340357993492070793559409445574201565905187989508896372817971482696090346711481273252244785931890068474199095694064417558693837716529390539504454132353256607862185139549839004167469187529312772763210120422395672921317307590072174098140704199583797619634775512783783333885534932794862032941954894710484965669124119355380589711077822927489818903929305732962790716206287509195478389771651739118032234024904295309821325901537909780217066944121153015332755815487820606797618689007933619882232421971371984028012074211365074058477941886533312646150496647621152123572530803956559283197659444191946332976755368500603934551448358202949100454153172519102295645576128689026195611775420802827857417696984203545029290952291788461869254191363720919405997764672210862932668751268192667563589677771936687423531280142097935604667165595196630759193837507465333461336995688824426564330082536952403586941124154815436510787239047697742682499668080796970417439982421231232608429554372119554435237702535065202585984312030402639147920190166182858396462212349866326788102515564709640046598971544641194425518312258849991485445424001933703180726808426376856634570531880382817342309623565774511279803377949548487798490358904597300073218891864525358622967582028444330690223103071853425073773473296836379655499503570446499994796586848870590208329526346360369241875083801550237595672477814095264517084332043924136608266930366586908696481177861219573801317248166544302306678720598800095957718881099630266306629850373041688360708000587716631326498236681961921985755079812192324664845953394234194378534333800177117575755028888433972055605352566413183982022118563337137718574868669010272375539349216003604092642915759872468881405153042921751646075201893195176925152246503410019975951747546932462068001356300934628785980269465303453305344292886975293643148853605642352251667862218290800497649769947970396197540618263680854569109415453186204807231283666566033299734624020297005757516871432741509732852132625057094744737113582880241089000383091133643354867075820530811865307304972467755236745866464076695682222562158429998093594296032948096537101998002995203684822381448397940478059320819463531569131405998361326692514860221975652135960368306887814854326961160750835169913918596939721612512206999014234461140882477885085885049213650397007691827015751744933217370576590663671441986359361078468544658034275646922976066978723616031875922315627001263836107897551161745008306176501788451370351247796750749708452701807488840260012478829042002531215076483360066168590750222942129356521888719782359705968440859419672916956084801302435799527268870539375788712459096534715915497270003903589172772358201941038800426626071842117317899195082355514970595521754097915537329138592237260223279190503420268163173377209819506176518608874218982405579123623923203225796647981357331999145700521262587601385219977514608583754805602604595497483843596379089655195787926838631031080537045116512853498074970962867094703055616015034025744990758567399931165393176433240704253430178640569493871217121490149660246372225610454849324251116903416031385862352290849211438955022473314570673823244874495331168277547941615517495540918486536484535372390146983022596169802068138335962204333065903097854420507255758376501368532932629207354375458754500086406201949446909794538533478147763025308774444648841896987541908855904211216210094435348369676043615491699815611559310154560713205289085886633595097712456864448185887671783686014470205825574283648102183004017112863186666148081225055285109552787076316472274385560756003556291656933273540607587231005343841696465714784528475723226398499335346038384098666792936949461943322225598266541067486542354553618948429 Errors (if any) and Timing Info: Timing: real 0m10.457s user 0m10.260s sys 0m0.170s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 05:41:43 2004 Input: mod(440896,1313) Output: Errors (if any) and Timing Info: *** obsolete function: mod(440896,1313) ^---------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: mod(x,y) ===> Mod(x,y) Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 0: default, creates on the Pari stack, or 1: creates a permanent object on the heap. Timing: real 0m0.090s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 05:41:56 2004 Input: Mod(440896,1313) Output: Mod(1041, 1313) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 05:43:02 2004 Input: Mod(1041*1041,1313) Output: Mod(456, 1313) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 05:43:55 2004 Input: Mod(456*456,1313) Output: Mod(482, 1313) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 05:44:02 2004 Input: Mod(456*456,1313) Output: Mod(482, 1313) Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.010s sys 0m0.060s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 05:44:33 2004 Input: Mod(482*482,1313) Output: Mod(1236, 1313) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:01:37 2004 Input: Mod(664*482,1313) Output: Mod(989, 1313) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.000s sys 0m0.050s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:02:02 2004 Input: Mod(989*1236,1313) Output: Mod(1, 1313) Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:02:12 2004 Input: Mod(989*1236,1313) Output: Mod(1, 1313) Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:02:42 2004 Input: Mod(482*1236,1313) Output: Mod(963, 1313) Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:03:01 2004 Input: Mod(482*1236,1313) Output: Mod(963, 1313) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:03:38 2004 Input: Mod(664*963,1313) Output: Mod(1, 1313) Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:11:47 2004 Input: Mod(5,1313)^89 Output: Mod(785, 1313) Errors (if any) and Timing Info: Timing: real 0m0.110s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:12:34 2004 Input: Mod(5*664*1041*482,1313)^89 Output: Mod(824, 1313) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:13:01 2004 Input: Mod(5,1313)^8 Output: Mod(664, 1313) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:13:11 2004 Input: Mod(5,1313)^16 Output: Mod(1041, 1313) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:13:20 2004 Input: Mod(5,1313)^64 Output: Mod(482, 1313) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:13:43 2004 Input: Mod(5,1313)^89 Output: Mod(785, 1313) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:14:13 2004 Input: Mod(5*664*1041*482,1313) Output: Mod(785, 1313) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:32:34 2004 Input: Mod(25*25,77) Output: Mod(9, 77) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:33:31 2004 Input: Mod(16*16,77) Output: Mod(25, 77) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:34:24 2004 Input: Mod(5^{53},77) Output: Errors (if any) and Timing Info: *** unexpected character: Mod(5^{53},77) ^-------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:34:55 2004 Input: Mod(5*9*16*25,77) Output: Mod(59, 77) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:35:59 2004 Input: gcd(53,77) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:37:08 2004 Input: gcd(53,60) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:37:12 2004 Input: gcd(53,60) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:38:21 2004 Input: Bezout(53,60) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Bezout(53,60) ^------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:38:30 2004 Input: bezout(53,60) Output: [17, -15, 1] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host81-107.pool80182.interbusiness.it. (80.182.107.81) Time: Mon Apr 5 06:40:56 2004 Input: Mod(59^17,77) Output: Mod(5, 77) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Mon Apr 5 10:55:26 2004 Input: 6*bernfrac(3502)/(17*103*379) Output: 315114228611415244515734852960802159847475955455363575560381398497862243045148206038770955279772780988364911601112830657323619357766928667046923686049421376373067037370957032823256464757583926052727804925710254216459471080358213579410359121368513132450817307504938884142445571945309245859043598540026034689070320006478899543207393362421250475396700652151496302382821288865918900360414383877955480514277738760791792863145754764713117963382695344463932529201198181761500934490367224138651817100145088058207517597045856098580696666209731857017794584346628409993780421356294397408468098584702946730444554844292549495447375153530762850250349430041230985237311364910988693704511918273137387086102037290564016005316776035961531844591133526519548790908567747827763663717348754354150097393297847338960026527890980981784982241894292405760066623524337375090300038055998993961471002989503427420048232083707344333999547208566389210519241784817802562407802577732461629580692635261075014766056664886328474724428261965297071854266420655270191276780782869604491581403961969264723228054393216021282102763165641942272815478897143436242722652518604541682559208661619941831663920353376594059286159353350999146432193689751511487614666011821810686481723707913055529045979641684198868820793335538256145160075589375142295609940584169759670989578814669806306894602846262866018626938436646330865011518336973634072244402331223529782377518297366077101373841408037174086827117566002636323586728373618758118645370988123372690143588709418884837418939201154678612166596267280079672044564495658412411157930659339066590501546825982480031100386068504562827776909614247799470819865356606879535544171838775353199478322407175792508572906120881395033688727802457654128565863704010919476801218261564990223440715907806563511692123412532921545844181693882992442779828057199892380922499298009559755713950192340877028987099886009224008273232518205496547976167564826047568133213613095322265798594920561761670274140223848701955640955321639237640154852189293623773015897247154531062591770485843746747547683685537509925396988713985730459540933979671817324688762333381214106724618634035033020785049240270634546792876202406270917372615115241571209539849982045907857411411500092635752595378529266460865830568909928928098791073245265886019922667179311467879610223661657241426195085521948763880401370228550206886118239706466472199654897694485663607582369921444411461498772091111701123203580774004330206622805071563772272557668960625513734810461291555965985537012471729741035375777645068279727507357881352788058934193503165109780732896740499060285083333625385926869853178675552415908772184081070534104898282027593746503032464484301932883100886825964364909624468115445505977396794078479663984082350799602011687131541719498900515651916392381848935480133819594076072655717723487845902510409926556447797063743480708704151718616010579203150402296267129631714656851986603384534674408212658040536555175897622575265147268832301472849588449885813280971276815044998860573475777584224252333674050896474493089360405798893089742452069509619830537733517227243174963289612234195199932349730089704807649185365426029671432010740118700622405482772201684441982613583110404528233194886845199217001088774627311420978991781033138504858188536303742454314757278259432880283056741335694230630382098756314351127597008589213964764063198847942808888748397685353445564645569870961760166768168092810617248111137351591356568491538079908257717742529896767822959499383036407119514374017143689770485922952258686073611327965028505796721191993030373273612061934340186394282619733146654813348146277359079731388683847620658478707299779703800716628194034041290036907356591837237489797439836215443796985927828989043071087241169771666766487072397695972795044283375274475376475850839443259960063878087469351829917130059294076470954608528329704852453921968618655131711258458586948672378940324264916210306531071192880842542609413552760438895838960538319687801597164751027449991180984494071363664933477543781476198021066197013076160646883270261251357526923891612852002708601854759724695870525940583519142745995186655602387493968651284271180579895600921492155920666835698346781012075289020499191309465870066160617286819915884570251124763741841611344413513675826679327601556500871170377171890649492673137194932305022481683145737734672972011959287586088344375721857876881577546441391061245333696770285718455178814963977392758847376803223115313412747141661094060359760387952263151216851321531953188490050729794547008764928606133119851660882550024466259892911455885888992599470106364072066981654379899316771928625000424659466100703473847039267771314748691761897477674426219054964732576819887072926813107099803339901316603166122205739059619951307231027589105136812328262491532290839280702217046293130723906463300088681123796157370120720442965013820667691960339249014753526938631285797262409055933439733380825511174385930583929721415252492154950462900515144974668830125849581369693908978294024124260656473276183146874528360310938758027562606255565566089990559540735614971078784440128207177503100989101691573324778929722384525847158974420210727198978841231258185482042338240247632515386574288891020626337671850509590677198684414710690436464816484808231176666466616510356231310913747618697086072129657910743382672627855579353848721580873852299409141910852525071850955335616261784112906142676789943131233243284652894098772492043038727150070921083594350106923129414086575166296631312957723513817655215585237695859780915152901614969968873181877799007881925168022327643267383459718042680581931737891355264109621953651937541521015892477587090329391682495881214007248413723228073153536310886395871087477564600236833284154872758748175821365941884523885882773932058559438217877932669572848120166501307750538982611702306613444871472811422115036071456693533658477872343442278022959272780363588452072219097695538911033209147084571134518638104726639591960738046847761160389316712554674870533091865096918938174108474482501979010932832793396711158309052047566874315582281164434226441926634177110063419181332035327010524044018783109540338461799717500382495057387505487294875889215714185288102946655600544839121529785643713099185726428313258286556036850685856888054763134880034779552961525310019437619408976883626063155994446193332345582506601227247151329562598366113658968801277900738127135154446657978592607818289525695566954682847692985512234008339804287060137496429937152358100597913475241009534834840385092075153923244320368642331058676497955611209011375416568546283977797250232202745899928505117248128658666130626674088998728720003517272129241910633091289045739355036171192717570854458832922690292374334225650080991920703135594064326587132740137318284655494598434841394200419750347320507502803535447254197374315186568134282085289431018455156925327831152948371305275776710863796209788451243904665579960494074008043664502921442464734722185360870379049329451389410678053850364086725971216126293922863203683649692801387111901851449576020534906899884957996861785080837840732267494728761645036178326818000947307791073500392555864779915808262554289505371276913303918213153758848199163469020167054530227070155563544065203897917375776567867877951478583553813423964060591243599054729961750262555103680180068957659728673534155513724951640888601408248177511721016370678913026293005019883879458779020960306299207077631382554046739204498808214000739328000425925331660721214024275157045050291389285589191508977881385260983354151789210142089235099054369638624486788064862588011284736903477386016635630009809530634527963318271394714734439007648240121934574570170538771350439438831405799142594976673809608748043647371185185429840896583974226088899944783826626181639726496682743121602059100173217588644261996071944136638376646472007471617889678735084210358528628645021878833805981780716685856754645090932214742753001583682075295256513128539544743050006416414324712508800040235061167705054489315361235358380501971005278979405265531970874737112537658400193617839004840419349993009229977696184399512708905476516588928587916113674726499 Errors (if any) and Timing Info: Timing: real 0m10.195s user 0m9.750s sys 0m0.440s ************** PARI ***************** Host kalgan.topologie.math.uni-siegen.de. (141.99.112.122) Time: Mon Apr 5 11:10:34 2004 Input: polgalois(x^3+x+1) Output: [6, -1, 1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:48:53 2004 Input: factor(2000000002864822776563) Output: [42367293299 1] [47206225537 1] Errors (if any) and Timing Info: Timing: real 0m0.107s user 0m0.090s sys 0m0.000s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:49:26 2004 Input: factor(2000000002864822776563) Output: [42367293299 1] [47206225537 1] Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.070s sys 0m0.010s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:49:28 2004 Input: factor(2000000002864822776563) Output: [42367293299 1] [47206225537 1] Errors (if any) and Timing Info: Timing: real 0m0.095s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:49:31 2004 Input: factor(2000000002864822776563) Output: [42367293299 1] [47206225537 1] Errors (if any) and Timing Info: Timing: real 0m0.088s user 0m0.080s sys 0m0.010s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:49:36 2004 Input: factor(2000000002864822776563) Output: [42367293299 1] [47206225537 1] Errors (if any) and Timing Info: Timing: real 0m0.091s user 0m0.080s sys 0m0.010s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:49:42 2004 Input: factor(20000000028648227765637658) Output: [2 1] [11 1] [19 1] [253399271 1] [188820156553211 1] Errors (if any) and Timing Info: Timing: real 0m0.091s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:49:56 2004 Input: factor(200000000286482277656376589 ) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ...0000000286482277656376589 ^ *** unused characters: ) ^- Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:50:13 2004 Input: factor(200000000286482277656376589) Output: [13 1] [36723745307 1] [418928278639379 1] Errors (if any) and Timing Info: Timing: real 0m0.101s user 0m0.090s sys 0m0.010s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:50:24 2004 Input: factor(2000000002864822776563765891) Output: [131 1] [34313 1] [2776685503 1] [160240878599 1] Errors (if any) and Timing Info: Timing: real 0m0.080s user 0m0.070s sys 0m0.010s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:50:35 2004 Input: factor(20000000028648227765637658911) Output: [3 1] [42589 1] [319729 1] [489586314462450377 1] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:50:42 2004 Input: factor(200000000286482277656376589111) Output: [191 1] [1434439813 1] [729985608917336117 1] Errors (if any) and Timing Info: Timing: real 0m0.117s user 0m0.090s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:50:52 2004 Input: factor(2000000002864822776563765891116576548759) Output: [3 1] [269 1] [316674493 1] [7826063684651434189467771109 1] Errors (if any) and Timing Info: Timing: real 0m0.136s user 0m0.110s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:51:54 2004 Input: nextprime(22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222) Output: 22222222222222222222222222222222222222222222222222222222222222222222222222222222222222541 Errors (if any) and Timing Info: Timing: real 0m0.169s user 0m0.140s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:52:14 2004 Input: nextprime(22222222222222222888888888888888888888888888888888888888888888222222222222222222222222222222222222222222222222222222222222222222222222) Output: 22222222222222222888888888888888888888888888888888888888888888222222222222222222222222222222222222222222222222222222222222222222222277 Errors (if any) and Timing Info: Timing: real 0m0.139s user 0m0.110s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:52:32 2004 Input: nextprime(2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222222) Output: 2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222477 Errors (if any) and Timing Info: Timing: real 0m0.389s user 0m0.370s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:52:57 2004 Input: nextprime(2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222222) Output: 2222222222222222288888888888888888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222477 Errors (if any) and Timing Info: Timing: real 0m0.388s user 0m0.370s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:53:09 2004 Input: nextprime(222222222222222228888888888888899999999999999999999999999999999999999999999888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222222) Output: 222222222222222228888888888888899999999999999999999999999999999999999999999888888888888888888888880000000000000000000088888888222222222222222222222222222222222222222222222222222222222222222222222387 Errors (if any) and Timing Info: Timing: real 0m0.503s user 0m0.470s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:53:29 2004 Input: nextprime(10^200) Output: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000357 Errors (if any) and Timing Info: Timing: real 0m0.975s user 0m0.930s sys 0m0.040s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:53:48 2004 Input: nextprime(10^300) Output: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000331 Errors (if any) and Timing Info: Timing: real 0m2.647s user 0m2.620s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:54:04 2004 Input: nextprime(10^400) Output: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000069 Errors (if any) and Timing Info: Timing: real 0m1.890s user 0m1.840s sys 0m0.030s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:54:51 2004 Input: nextprime(10^500) Output: Errors (if any) and Timing Info: Timing: real 0m21.041s user 0m20.980s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:55:27 2004 Input: nextprime(10^480) Output: Errors (if any) and Timing Info: Timing: real 0m21.006s user 0m20.950s sys 0m0.050s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:55:42 2004 Input: nextprime(10^410) Output: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000067 Errors (if any) and Timing Info: Timing: real 0m1.870s user 0m1.850s sys 0m0.020s ************** PARI ***************** Host host141-107.pool80182.interbusiness.it. (80.182.107.141) Time: Mon Apr 5 13:56:27 2004 Input: nextprime(10^420) Output: Errors (if any) and Timing Info: Timing: real 0m21.055s user 0m20.940s sys 0m0.060s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 14:13:23 2004 Input: factor(2345678923456789345678903456789) Output: [17 1] [19 1] [37 1] [3217 1] [14683 1] [5882353 1] [706394609633 1] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 14:14:02 2004 Input: factor(2345678903456789023456789012345678901234567890) Output: [2 1] [5 1] [7 2] [13 1] [31 1] [11878659560727143482335488997547368720487 1] Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 14:32:51 2004 Input: 2345678^234567 Output: Errors (if any) and Timing Info: Timing: real 0m21.050s user 0m20.920s sys 0m0.090s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 14:33:04 2004 Input: 2345678^234 Output: 439343642328982252010309339054240693860336317758356995065258467791298195815369665670083413344586305959103396465158982418095206387561741205429366706502060891584838820600030009128221081842973534858867509300315309526866937082891091513739286566974179574696259205413907801602916000913175920162529283498278821452283254177084204471047254774829552706020699773288593680726533325777763401167699201479815627576082203739677536585989258799190410375592103434119840555717264970609806310037231549636076448230984386858486312139552356963121794912440485133068540483500785043793135534668212761823716658383622773148260142377768040251840713887132763932430145301987441817429198258810832412280552135980965308055328362830490809004639569435706151063372636199729750825360598791703669070101614046100335267524675428596986306721488797847631185314062237814775394139378998721705412313681618243333710202656082410287708186357374032541080064542768028922064711276948793193714940000083555607034519738366927243873925961977675796242656974018284240895040580065571590927444476092462035817343153835095274771301610272935441651753084070713448521135372396556223372766349812236863365271172878825567669926573277770915385406292976657575039130488557031490959646872160432431359824207940901201152629399296265148397978998522901709497185071088224857900192090175100049987138213357211929510996726655098197057658831268856680030775324822478592013058235731046544836349936630481936747447523787145307573975200028222593362333301354516350007932348268544 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 14:34:11 2004 Input: 2345678^23 Output: 328226073009555414226126450421609789663244100073934602136171535057426927353795289869293542934974055018446816986393093400374615243619158825528983552 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 15:35:17 2004 Input: factor(414844925891479900062933127574852230123207482642066459150388564409648518345464826705871656851811322867180934842371430661829916861809121168958859428751277254496405804363969485740638849880020977586858473477624453893990601569173533477403679) Output: Errors (if any) and Timing Info: Timing: real 0m20.997s user 0m20.970s sys 0m0.040s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Mon Apr 5 17:46:09 2004 Input: bernfrac(3550) Output: 20965158705716783368407646554449979554222460172565241671602791534686889377116298818611371375804637402088256296515121708310761154642814462875136729036440123438624311011741390207471823896819422802887643977664745777905404950311882109311389075169136697450068860423069058727450357447408622253467999621217599939762692709600792004686866962039761699554338401731029971450404366676845733648197220677741357775725397675764942274360676089391738338343535022609880085515172928644828388425879549520835963805624032214236166906284761876934002146534542117186490606857522612517877706281342773199702803421070571626926436655555472081199468005483069463382369163293276130852229955859436564784267553929367129839970641831702262356645142875707416779040826501507980524164267708931994736600599559570623768524538403171474809141386808047157310648436614000466017032928235973770424352674950045310112822610848926941070792344849926700579973675416753772624881146734715066017304852621318540312165668548213085095367830721147513021194861143873498237500840394294917114800034789592197122525302849590402212533125317446014863915697000109720359344428902407049147014559465201894364078217636474388222596879151721250993715453658769452060170686295000136850539906258188850207247997563697581666165046386217390788858988355302053517828299567555493793166109312104652125848743743628455194271643748911321981486670607102408961582150187578332282593682910833531572237968529341960977304016608726776747581971086595245894597084938782347427355999328337528811087475908838924919260006451128497110952102662918955933932277796990106388508261997223943965059794908344740947985695111609041422900823751826437975220001448628280562481366603714688587631288905966839940502828788698955023034156196564006171876953940806849449068518512266871621250123730292562576481790012782856364502275862871103405597793923777562388402276871057000800763854979110523823171288110327724909898940331265549603989572326925829393311076286495913606540492385799314387316139646606286786129367347545771323391954204889663768501816972550299535845487302555300138954161875816674362742533322825305297552622161701880863124952724310147985280523172621642595764742180385397738172978820613800494912736005621575940687294945497137495675642559604767828424259211231169935038796295975653673826429372212441534381325978694590046146022513638818555249480098444675265703117817139800930547336968597597629552286597003002057830692462645093402034353786968341072516770912683664023918357354286813021958586007470842668339489353552942055765023336855430533895747599873107466778441633258102448000795015275978859307115011075482582246395012514808249938427965502180635665284387599612672292568179512158851187245566658547966464694633846217374858968027819426542908760062471470365618516017809699037850666916888540060041477433284027617223373114559538426775088011868133945797302116917983335080050683885294734473555130140623037392835834040936008057916485702107774843273612572961589306642342185766913534263570956385832879366475746849286264383588459819535963797150695455302379286656041038266118915782463472431368896551910176422805309080297521663247895156854249843120771240676802845302884805735500000692567430913253817352087879470703213046919759017313150558446113127705646916859219140832776631625962607797058883922479904642343546264102188231087692211400057503518058727736494587566053689070031745101600087673037645098368072172071436435300660953155062611236159507832340455075989766728627926953471681826389501702566869373032127947663999611780862497996886734776443430651141201679929838192338475383864405204646630142465989056929455847228580210754105737746165372037211769196473382265117004874646924500933858433568587596251778573238687769126983885455557022564473252849933513433062901388747624283792521937816858594965816685206639568806728171066601534641103328048122655240554731351969423041163385535870766256413860005251659108323157232669572366744285941878157403354171278367059904082074132485273804338414869550177568508573092645562278456982973958862785099606858704161346217608164778847767844742427520111878426430299066612376336937907241931095110110739516378395415751827412874495492741556053238176492466021245789031692947928601965824465145153385894117291618276593782484809583129040067054192800280088869923838941159827951129959156138780319830387695517372497602430273732945284804248188509294629391476847929027956751134447158011761508957123576919346441849543878401227061055529171062797541788732083798769454547032732319313490884777951785816520623386199435479585039244603562576412806745195893428338766364176526351917216105315123974388814783358612674947817218331255508203929743393467152148818567180544270355841724057437482110476695426274893585390604939186334123158648499085087471360893176020054393678076855807713723294545170630340329716315716404071477163582405145660859121863491677411211338239249047761015104792320043340000043432686727966282091362065400397402149144624812992008794615716947621272770660160372895011908391356550919501703293368754528275864715349693357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Errors (if any) and Timing Info: Timing: real 0m10.628s user 0m10.420s sys 0m0.190s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Mon Apr 5 17:48:28 2004 Input: 66*bernfrac(3550)/(5) Output: 41930317411433566736815293108899959108444920345130483343205583069373778754232597637222742751609274804176512593030243416621522309285628925750273458072880246877248622023482780414943647793638845605775287955329491555810809900623764218622778150338273394900137720846138117454900714894817244506935999242435199879525385419201584009373733924079523399108676803462059942900808733353691467296394441355482715551450795351529884548721352178783476676687070045219760171030345857289656776851759099041671927611248064428472333812569523753868004293069084234372981213715045225035755412562685546399405606842141143253852873311110944162398936010966138926764738326586552261704459911718873129568535107858734259679941283663404524713290285751414833558081653003015961048328535417863989473201199119141247537049076806342949618282773616094314621296873228000932034065856471947540848705349900090620225645221697853882141584689699853401159947350833507545249762293469430132034609705242637080624331337096426170190735661442295026042389722287746996475001680788589834229600069579184394245050605699180804425066250634892029727831394000219440718688857804814098294029118930403788728156435272948776445193758303442501987430907317538904120341372590000273701079812516377700414495995127395163332330092772434781577717976710604107035656599135110987586332218624209304251697487487256910388543287497822643962973341214204817923164300375156664565187365821667063144475937058683921954608033217453553495163942173190491789194169877564694854711998656675057622174951817677849838520012902256994221904205325837911867864555593980212777016523994447887930119589816689481895971390223218082845801647503652875950440002897256561124962733207429377175262577811933679881005657577397910046068312393128012343753907881613698898137037024533743242500247460585125152963580025565712729004551725742206811195587847555124776804553742114001601527709958221047646342576220655449819797880662531099207979144653851658786622152572991827213080984771598628774632279293212573572258734695091542646783908409779327537003633945100599071690974605110600277908323751633348725485066645650610595105244323403761726249905448620295970561046345243285191529484360770795476345957641227600989825472011243151881374589890994274991351285119209535656848518422462339870077592591951307347652858744424883068762651957389180092292045027277637110498960196889350531406235634279601861094673937195195259104573194006004115661384925290186804068707573936682145033541825367328047836714708573626043917172014941685336678978707105884111530046673710861067791495199746214933556883266516204896001590030551957718614230022150965164492790025029616499876855931004361271330568775199225344585136359024317702374491133317095932929389267692434749717936055638853085817520124942940731237032035619398075701333833777080120082954866568055234446746229119076853550176023736267891594604233835966670160101367770589468947110260281246074785671668081872016115832971404215549686547225145923178613284684371533827068527141912771665758732951493698572528767176919639071927594301390910604758573312082076532237831564926944862737793103820352845610618160595043326495790313708499686241542481353605690605769611471000001385134861826507634704175758941406426093839518034626301116892226255411293833718438281665553263251925215594117767844959809284687092528204376462175384422800115007036117455472989175132107378140063490203200175346075290196736144344142872870601321906310125222472319015664680910151979533457255853906943363652779003405133738746064255895327999223561724995993773469552886861302282403359859676384676950767728810409293260284931978113858911694457160421508211475492330744074423538392946764530234009749293849001867716867137175192503557146477375538253967770911114045128946505699867026866125802777495248567585043875633717189931633370413279137613456342133203069282206656096245310481109462703938846082326771071741532512827720010503318216646314465339144733488571883756314806708342556734119808164148264970547608676829739100355137017146185291124556913965947917725570199213717408322692435216329557695535689484855040223756852860598133224752673875814483862190220221479032756790831503654825748990985483112106476352984932042491578063385895857203931648930290306771788234583236553187564969619166258080134108385600560177739847677882319655902259918312277560639660775391034744995204860547465890569608496377018589258782953695858055913502268894316023523017914247153838692883699087756802454122111058342125595083577464167597538909094065464638626981769555903571633041246772398870959170078489207125152825613490391786856677532728353052703834432210630247948777629566717225349895634436662511016407859486786934304297637134361088540711683448114874964220953390852549787170781209878372668246317296998170174942721786352040108787356153711615427446589090341260680659432631432808142954327164810291321718243726983354822422676478498095522030209584640086680000086865373455932564182724130800794804298289249625984017589231433895242545541320320745790023816782713101839003406586737509056551729430699386714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Errors (if any) and Timing Info: Timing: real 0m10.690s user 0m10.470s sys 0m0.180s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Mon Apr 5 17:49:09 2004 Input: 66*bernfrac(3550)/(5*5) Output: 83860634822867133473630586217799918216889840690260966686411166138747557508465195274445485503218549608353025186060486833243044618571257851500546916145760493754497244046965560829887295587277691211550575910658983111621619801247528437245556300676546789800275441692276234909801429789634489013871998484870399759050770838403168018747467848159046798217353606924119885801617466707382934592788882710965431102901590703059769097442704357566953353374140090439520342060691714579313553703518198083343855222496128856944667625139047507736008586138168468745962427430090450071510825125371092798811213684282286507705746622221888324797872021932277853529476653173104523408919823437746259137070215717468519359882567326809049426580571502829667116163306006031922096657070835727978946402398238282495074098153612685899236565547232188629242593746456001864068131712943895081697410699800181240451290443395707764283169379399706802319894701667015090499524586938860264069219410485274161248662674192852340381471322884590052084779444575493992950003361577179668459200139158368788490101211398361608850132501269784059455662788000438881437377715609628196588058237860807577456312870545897552890387516606885003974861814635077808240682745180000547402159625032755400828991990254790326664660185544869563155435953421208214071313198270221975172664437248418608503394974974513820777086574995645287925946682428409635846328600750313329130374731643334126288951874117367843909216066434907106990327884346380983578388339755129389709423997313350115244349903635355699677040025804513988443808410651675823735729111187960425554033047988895775860239179633378963791942780446436165691603295007305751900880005794513122249925466414858754350525155623867359762011315154795820092136624786256024687507815763227397796274074049067486485000494921170250305927160051131425458009103451484413622391175695110249553609107484228003203055419916442095292685152441310899639595761325062198415958289307703317573244305145983654426161969543197257549264558586425147144517469390183085293567816819558655074007267890201198143381949210221200555816647503266697450970133291301221190210488646807523452499810897240591941122092690486570383058968721541590952691915282455201979650944022486303762749179781988549982702570238419071313697036844924679740155185183902614695305717488849766137525303914778360184584090054555274220997920393778701062812471268559203722189347874390390518209146388012008231322769850580373608137415147873364290067083650734656095673429417147252087834344029883370673357957414211768223060093347421722135582990399492429867113766533032409792003180061103915437228460044301930328985580050059232999753711862008722542661137550398450689170272718048635404748982266634191865858778535384869499435872111277706171635040249885881462474064071238796151402667667554160240165909733136110468893492458238153707100352047472535783189208467671933340320202735541178937894220520562492149571343336163744032231665942808431099373094450291846357226569368743067654137054283825543331517465902987397145057534353839278143855188602781821209517146624164153064475663129853889725475586207640705691221236321190086652991580627416999372483084962707211381211539222942000002770269723653015269408351517882812852187679036069252602233784452510822587667436876563331106526503850431188235535689919618569374185056408752924350768845600230014072234910945978350264214756280126980406400350692150580393472288688285745741202643812620250444944638031329361820303959066914511707813886727305558006810267477492128511790655998447123449991987546939105773722604564806719719352769353901535457620818586520569863956227717823388914320843016422950984661488148847076785893529060468019498587698003735433734274350385007114292954751076507935541822228090257893011399734053732251605554990497135170087751267434379863266740826558275226912684266406138564413312192490620962218925407877692164653542143483065025655440021006636433292628930678289466977143767512629613416685113468239616328296529941095217353659478200710274034292370582249113827931895835451140398427434816645384870432659115391071378969710080447513705721196266449505347751628967724380440442958065513581663007309651497981970966224212952705969864084983156126771791714407863297860580613543576469166473106375129939238332516160268216771201120355479695355764639311804519836624555121279321550782069489990409721094931781139216992754037178517565907391716111827004537788632047046035828494307677385767398175513604908244222116684251190167154928335195077818188130929277253963539111807143266082493544797741918340156978414250305651226980783573713355065456706105407668864421260495897555259133434450699791268873325022032815718973573868608595274268722177081423366896229749928441906781705099574341562419756745336492634593996340349885443572704080217574712307423230854893178180682521361318865262865616285908654329620582643436487453966709644845352956996191044060419169280173360000173730746911865128365448261601589608596578499251968035178462867790485091082640641491580047633565426203678006813173475018113103458861398773429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Errors (if any) and Timing Info: Timing: real 0m10.613s user 0m10.380s sys 0m0.230s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Mon Apr 5 17:50:51 2004 Input: 66*bernfrac(3550)/(5*5*71*1217) Output: 970530568389912084363889340190029953787191323506902990341189558007424832576818953029794871980494052661856391103272730603342838179444464586208836276525750156289389100963643695879816398987092379223333478892439074515046463842599887014310834778160875736922650267828720299394741511563119758976379210999923614510986040927276355141915213445195954010871267454304858238355890919802596254849594161479572616835459982444243742954190104477264033624291320037028485447483325593751820497222657864332101047629198199878999011945086017426088263521915683552790427018992563682010842004992316511379994834727305501958241191364378908245835083059616441417124499787900338206498545527998267028563313339399221351972439354760714403075914815962013113707955443494530791448112662582059080241211918458950028054418665301259148408873670329818524455122229171269272953947167982861130434000715221929247066677970485120005128859691919714864766682116807840689984892276538477948189607444828244948310468760550098260343158805242515676794466242034719327716543353862298985721065876125415631720823676303558841877770334229681153791507493610921354026614922513548631338412835312041587560184597843896361294658032415024291722450896745377206021303195111513504717900459832599220306132492214639168871274150761738784536391188459363408882534959785919834882178958283687762604823393643036105605871920048668370918405712828933255943715216942068688073590468866343308863308228701006213723611124502726711844270537646035432064396863160732228979411359187914350045134116858075152210353626494543132429182944109572415842803374587249014015450692523704975988509954440947652296026715965560263538871792879115718644091402253441529620580119838193136557514502573487793373353028745307904361181672622079515403935048818121191527006770852679603330754393986254010739027625668422991864190441185140250470345871226986813031457028761882754904757946884420189251856359337911276165076455901283442498388895664741485912533766315039920679597365296761345137136558223583125724969844922090632628928406489736422674173017118997281972316469848753000981594633574440698681474108478493885798725666286383319088729048540518614708554777859277262062783903173835348440426299749501799387213351030429291177209945745003876800520446704770114848299754012113367437304676518136432179172028757505365740337055039271820391682271743669774682582665684246658983791489908910200819254781144934907104854310275926814162310574960134868796942552662091778328921078740549447332663203411150162461772125289425285837466379045815364762809649072664507916985781238700913897181553960123714421322115813578939637164350623235737023453887417214265045120324302530148514138178045742251081165562026787591338074256329165366994095137377583639050492114195351142518951476730888486609580983846665156195709464135476989597670440278404648568906367056351380178693300860723503688233690183340855952876534719885876582848849289553996199050347033964193088889394873198133245837657253368897858119936680397047162117123425481075972056267466610311028707562510436401493573305435691798228351251914360561811840049184138897606392840946227802044061665388106133218276072857719853397098440666927579723998509645537977279274476878644268050138895203893351837092816971648739132637222129119429996035470234626026902062377474408187247974005805300142050818294915376350883248412746999827238937944217231824553737038435855664545700587824488529788932478714522500968702116872709970777189788226988112309233731837866280600112105816722696156680216620090137509584362360076422627703629878818912515451347284441303590597629288154147900295330083448908814751440483101935194149120053039117023637994014918661519246462213339422715609823321437311031216804020589932447078952822201158954971565848344381952847964328494816456479110455578484240296126869117817615943460116370512952472211813146671141368089282360945512810395890288572147420272467103656595414966456843002217747759768183908446581498172944476913735154191669845363182727569470266918877847867768514521883303230630780236924043601226062685053697231073696233322058576169423530150451704694222756503480811155408100635700437746715433274596566407601965203162376867406239844274340651868134110488538615236864972912007861606820982253099592268756849634579720847134289075656696989493919709693424090128862699917883039992414446992481182667863361648829489753086344638041096123624673678261783274407352550453140807904823070422949859320514279928332174193220513479743795255989111879444430756017395324663373695757024939687052111601412687426869869313156553753248908239498022743839975737772557258850055043056785548212775128125007872731762871650442571422145486153122035471357342213114623517408568484977182021088913513123264397348653460649502498868803978109327191014574517688213264813083201795858116905149245488133810694533097565230424188614536853595823597863398144091189995795591154019384505840858310789856947703002765981618743237375040544926316867864751797847147791868344407032565275851320970322319273803974766321772844835233335414647829667886901048079423813226807339933280312127111651974516622884965095237217750144273274312708824620688286527007179582465278932272097317256608163222616494279412915489869993991286048065650466594887307284869396031841034891888163174859524010085347084898578752823595262468560164982282924881076114848338464973821918555517350897260826195500184741813503884238541391118878499754923731404572850377995689066187362548418678259537137979170972934735340559490219661994374847443818298681096577093039162090089276874894204574599309076931510723289350482751556566679781282704482096791977655390511398110857680240635465201373775043558684495741819261744489821482364884054239443241075608426494336866891263134523880735304122634785307633523707466344094065075078757616397918327929796130968720524324724223087855267319263701323324689633838427483365262685870934074468156672707620255837497516699819227402347743280041217130556568016343462529880138587343523539409285229114192037366603499610976319861487017421974054452330764025148324411725959007352024087564525936262179763637220628961891452550490078013009992159166945924047934829986719485488028704380749866474584554234879679848741733531608294563162558560543534349676626761943193890844759937615765775127772646871347543807465842823628623787968428297608070863126739038837733875295268124260221358790986129615270538018815112366355321805814161564784330530648315203593564106266672707902449762769401606687852259437623299345311021070098411955465532108822461004567898987352933988899919250575389608588381524998637684504035456374749748685620521611307016222907019376116896286753415997053944814878764424386092176440637431267568149514177065211918299110164355454255883323965551443076045969043290483229195470111074484075157449678046742991399496615175139764595702217469265519965502617278532587063852386152617800843447043204363469233561441354988921456982009680973008851330142881533997873556025695377553739657006956038242790700329141866856723155664718678952435446518624113577030324358542970341053939315293042157970322207809707858341343565623970526169421356153696900263928088830918178357736449678992671881496477811788028200937392255240406046280524109638371515114004340579958067498202826015432229653235579050505827962841983249802343499663542437272794418773644262415887475640609737793094208602240205065521615016305839439100382240880997047559970089106684389906818635039477653454941980610503097030070295658394839630554070774534218777000340191792841984111835894832248404170401558959866854941724459477116583336600361510288669832622670985038122063228945779611343250344286506377934191569061166378921484159136382641635121031768391814398398937685486057449134651314878919838350712946129379899688307814974400404238868566530983111972327301551320186093443513315125627568115886523688002098937453634959620360487772681458085874451610002368110884349761027248465531465426006834742899179585469062754809921310530573945349403939762378334843858532812264835122092345643963923877430532310312034781723096997613858309425753390906348304073775115535725023429284082093326490791219239438388391500417651323265326774167995475565348786086473743242804446470801335558135833422414367456738705770591258678166183457107347670906104706627841640009704618497005988047453547990676310747691442203197603 Errors (if any) and Timing Info: Timing: real 0m10.597s user 0m10.470s sys 0m0.120s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Mon Apr 5 18:25:44 2004 Input: 66*bernfrac(3550)/(5*5*71*1217*2600837) Output: 37316085875043768000989271537971428189740123026045192003235479886183749022980638657085963940858041186812414276760624775921860469512101857448538154314389950477072923099896060225220434767234254942671666040295453906378848956801210034089442544002598999357616423783140592793579202063148123430125733023635222603761252278680915226210455074470101510047391184234339108462233154934453649146393801744575789133861906088087940265160411993418427745540813208864241990077937432978376595581447736414550433096314694072677334717442347114643795959605145710891933136101668950495968874827308151621189441503919911242351642619832727243031188923397215643161201558878943132787581287408563744231695924788797658291251599187519802397301899963819843908247823431246586827552540300759297112476172803560931656017607612520859569779792825533415760200359698484344576532368925190664791142263633665979339215720573227772641225101454636136934636123555910681445430539343237501934554431701342488910703314377260022844305844820052762891117984019556755295181641673903400548402913220836816444891535928762888327018199688395741593629569773535263994883759440270521810417678436289609366530259214395072097738460057859231152219493061094455593384098854004057336845810015491136903471170712145327403111927074312568782141717780059396605113467694665980024206782596667448310094919198820845197368074971582931606955980433565550472548461012438253072898857900988924291038163049087898000667136175882099179774454825351816821446206092912867241561518818284819465623340365354505192380515445394814531982701880570463117942545979899894303851056122459999453580134181455725687385511509008840751606955486988062636916169765865432152056438747918194664160595322716794377092952335932928682619544116839291174492482566886013676635897245874293672796657152534126926794244532372578207099885197924370134320062011844141444906275509071993166229100358246986998872146133645102563716082780323543632237963996388142967534442424305710841532835979215973363080291391716709879356908753685472508616587909574357127116117508286650873250283268376795661611805490864698505960739118925710676936911705208104894260157347058605160898386860048409879695801896613872704841798995842561428771328269723527125198924259575047448206882888269050111494866999051204186856180395700939050742973464215764607329757883299561656177694786088854268167619335015868314077025584798670613316204788878922712375066575718771078783890530630518898221709113723458191686794625751227290778437995581813180209760369043707307973024801085779876355559732219455041472640586038298974414065701161730412990976205489961102412967464829042997444818241866532391115641783876888421463481873171684772293133403853743673212671779475813632076717509693365599247169822459121525837700583730871508271413542896581223494954283389423850770749580938930373910643652653025936600152214872500802173826740520103949339252506784772616771018302552370494538886790443391611580787064825597807391914881761867347247056877474330269913767122871640013274813741369040467692037698265458446399113263756698256305614381614863284851763074123403258504582984101956487240902270619271150720943790699680656538585104215588278850174372539992982231276965017195158717708768519263292435966458937978009872868700695946343274702345230632557982771602926603522172823818074725253863209994143283523083084897169635284292631342034576736402052048469614379743928121004450866737610958107813022065670277403388631320985829830478123359277487895868929891112200292547981925826824983270289894536349647302873179043126455787598971075360910403212142769011981686968475738006013022300695946746493607065500418521154502070819432129538247168863195279571131244119097941218050613368573425423812889738147866329230126877292419645844086071059598448300160928159298548062959743195243266602928824200060071835065114507822410503662527412878329589494182464948410399119491927885796136266725479776581269884185274193199493411028122799427433434457259497295287838614366358578806242716396601085285795376000234948625393937568698123952507790903360382588229609239586185886448483717038195558689625819719234823562592953746726408284458987493887836952688813730997652149667367633598409594069543325422363526240702973998816797091945904322042048650093588322561049934658560174935587809605511357462621796856162761566372379908736782858082527407970927416433751378676865989530432882709614704161560580403556745032768482725769548413042436503322904594720592659727608604278391499039710848113742514249246045549788665146631144209021996099233703222051714757739652615993985706245483280026305860661735051256309287569663641940195598873467724539125306298373260049982106607813998237575561814274305101337953019817123830271298173026504492725251505669093019054177917616175660932141776407549303674232405111004847641181978486567767726219106788475733563343400444687531875244165289481647469301383338690807646088962509259430829489352143896108728653143004591093861889530095394205475712026821848707775663025799860555421349925670919509559239327009522235713652447310157438694282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Errors (if any) and Timing Info: Timing: real 0m10.647s user 0m10.430s sys 0m0.200s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 21:18:00 2004 Input: 61973797*5924617*3329*107*47*(5^7)*3 Output: 1440705126335927595517734375 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 22:10:35 2004 Input: (10+9)%17 Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 22:10:46 2004 Input: (10+9) % 17 Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 22:11:03 2004 Input: Mod((10+9),17) Output: Mod(2, 17) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 22:11:15 2004 Input: Mod((10-9),17) Output: Mod(1, 17) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 22:11:26 2004 Input: Mod((10*9),17) Output: Mod(5, 17) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Mon Apr 5 22:11:36 2004 Input: Mod((10/9),17) Output: Mod(3, 17) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cs662550-194.houston.rr.com. (66.25.50.194) Time: Mon Apr 5 23:05:15 2004 Input: > P := PolynomialRing(IntegerRing(), 3); > P1 := 9 + 289*x^2 + 121*z^2; > P2 := 102*x; > P3 := 66*z; > P4 := 374*x*z; > I := ideal; > I := ideal; > tx :=3; ty := 17*x; tz :=11*z; m:=64; m2 :=m div 2; ((-1 + m)*(tx - ty - tz)^(m2)*(tx + ty - tz)^(-1 + m2) + (tx + ty - tz)^(-1 + m) + (-1 + m)*(tx - ty + tz)^(m2)*(tx + ty + tz)^(-1 + m2) + (tx + ty + tz)^(-1 + m)) div (2*m) in I; 3^2 +(11*z)^2 + (17*x)^2 in I; Output: Errors (if any) and Timing Info: *** unexpected character: >P:=Polynomia ^-------------------- *** unexpected character: >P1:=9+289*x^2+121*z ^-------------------- *** unexpected character: >P2:=102*x; ^----------- *** unexpected character: >P3:=66*z; ^---------- *** unexpected character: >P4:=374*x*z; ^------------- *** unexpected character: >I:=idealI:=idealtx:=3;ty:=17*x;tz:= ^-------------------- *** unexpected character: ...^(m2)*(tx+ty+tz)^(-1+m2)+ ^ *** unused characters: (tx+ty+tz)^(-1+m))div(2*m)inI; ^------------- *** unused characters: 3^2+(11*z)^2+(17*x)^2inI; ^---- Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Tue Apr 6 01:42:28 2004 Input: factor(345678-17993) Output: [5 1] [65537 1] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Tue Apr 6 01:45:40 2004 Input: prime(520) Output: 3727 Errors (if any) and Timing Info: Timing: real 0m0.158s user 0m0.020s sys 0m0.140s ************** PARI ***************** Host 3(NXDOMAIN) (194.67.220.67) Time: Tue Apr 6 06:01:25 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host sstc.customer.sstc.fedman.be. (193.191.206.51) Time: Tue Apr 6 10:04:35 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host oproxy2.rockwellcollins.com. (205.175.225.22) Time: Tue Apr 6 11:59:42 2004 Input: p=100 Output: 100 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host oproxy2.rockwellcollins.com. (205.175.225.22) Time: Tue Apr 6 12:00:06 2004 Input: a=p/10 Output: 1/10*p Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host w186.z066088156.lax-ca.dsl.cnc.net. (66.88.156.186) Time: Tue Apr 6 13:01:30 2004 Input: cos(3*acos(1/sqrt(2))) Output: -0.7071067811865475244008443621 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Tue Apr 6 18:05:33 2004 Input: 6*bernfrac(3502)/(17*103*379) Output: 31511422861141524451573485296080215984747595545536357556038139849786224304514820603877095527977278098836491160111283065732361935776692866704692368604942137637306703737095703282325646475758392605272780492571025421645947108035821357941035912136851313245081730750493888414244557194530924585904359854002603468907032000647889954320739336242125047539670065215149630238282128886591890036041438387795548051427773876079179286314575476471311796338269534446393252920119818176150093449036722413865181710014508805820751759704585609858069666620973185701779458434662840999378042135629439740846809858470294673044455484429254949544737515353076285025034943004123098523731136491098869370451191827313738708610203729056401600531677603596153184459113352651954879090856774782776366371734875435415009739329784733896002652789098098178498224189429240576006662352433737509030003805599899396147100298950342742004823208370734433399954720856638921051924178481780256240780257773246162958069263526107501476605666488632847472442826196529707185426642065527019127678078286960449158140396196926472322805439321602128210276316564194227281547889714343624272265251860454168255920866161994183166392035337659405928615935335099914643219368975151148761466601182181068648172370791305552904597964168419886882079333553825614516007558937514229560994058416975967098957881466980630689460284626286601862693843664633086501151833697363407224440233122352978237751829736607710137384140803717408682711756600263632358672837361875811864537098812337269014358870941888483741893920115467861216659626728007967204456449565841241115793065933906659050154682598248003110038606850456282777690961424779947081986535660687953554417183877535319947832240717579250857290612088139503368872780245765412856586370401091947680121826156499022344071590780656351169212341253292154584418169388299244277982805719989238092249929800955975571395019234087702898709988600922400827323251820549654797616756482604756813321361309532226579859492056176167027414022384870195564095532163923764015485218929362377301589724715453106259177048584374674754768368553750992539698871398573045954093397967181732468876233338121410672461863403503302078504924027063454679287620240627091737261511524157120953984998204590785741141150009263575259537852926646086583056890992892809879107324526588601992266717931146787961022366165724142619508552194876388040137022855020688611823970646647219965489769448566360758236992144441146149877209111170112320358077400433020662280507156377227255766896062551373481046129155596598553701247172974103537577764506827972750735788135278805893419350316510978073289674049906028508333362538592686985317867555241590877218408107053410489828202759374650303246448430193288310088682596436490962446811544550597739679407847966398408235079960201168713154171949890051565191639238184893548013381959407607265571772348784590251040992655644779706374348070870415171861601057920315040229626712963171465685198660338453467440821265804053655517589762257526514726883230147284958844988581328097127681504499886057347577758422425233367405089647449308936040579889308974245206950961983053773351722724317496328961223419519993234973008970480764918536542602967143201074011870062240548277220168444198261358311040452823319488684519921700108877462731142097899178103313850485818853630374245431475727825943288028305674133569423063038209875631435112759700858921396476406319884794280888874839768535344556464556987096176016676816809281061724811113735159135656849153807990825771774252989676782295949938303640711951437401714368977048592295225868607361132796502850579672119199303037327361206193434018639428261973314665481334814627735907973138868384762065847870729977970380071662819403404129003690735659183723748979743983621544379698592782898904307108724116977166676648707239769597279504428337527447537647585083944325996006387808746935182991713005929407647095460852832970485245392196861865513171125845858694867237894032426491621030653107119288084254260941355276043889583896053831968780159716475102744999118098449407136366493347754378147619802106619701307616064688327026125135752692389161285200270860185475972469587052594058351914274599518665560238749396865128427118057989560092149215592066683569834678101207528902049919130946587006616061728681991588457025112476374184161134441351367582667932760155650087117037717189064949267313719493230502248168314573773467297201195928758608834437572185787688157754644139106124533369677028571845517881496397739275884737680322311531341274714166109406035976038795226315121685132153195318849005072979454700876492860613311985166088255002446625989291145588588899259947010636407206698165437989931677192862500042465946610070347384703926777131474869176189747767442621905496473257681988707292681310709980333990131660316612220573905961995130723102758910513681232826249153229083928070221704629313072390646330008868112379615737012072044296501382066769196033924901475352693863128579726240905593343973338082551117438593058392972141525249215495046290051514497466883012584958136969390897829402412426065647327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Errors (if any) and Timing Info: Timing: real 0m10.624s user 0m9.920s sys 0m0.220s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Tue Apr 6 18:06:47 2004 Input: -12074896022970*bernfrac(3500)/(7*13709) Output: 14121251465239095277142339420341751208366493691265196991897567898535899363218563314347039910686374643883693395056994552741721008440618791359030731228108986129509983159117071884528938700765653458058209871181310846546496268594455540850688018269061068961394425763684280387018739812051724322808865275629372052173310852937038932784669378571976585521113687232150445553907512455748930238381248257690302224069656942146267545910654166107218238051145263825343291359692032017390317048973427667830864353527793961163663458631530647149649602552474209231529998602505747232022743679796354183867231287733571776495103264393818178186210647005318313561313094970896743117245290949417034415760599673044587996310000235357292536687388482321079613406541663433121459443851918124840237565291208166326514079207087488308251346289302136339097021510295649179019662684160665696761774634743547936970528660537502647663057073995098041187991388997270774663963894662954944394952510313993890370437403449751035181555078407947543712159394791046693049716744978552568443665355777676649869611096929046145689391836062906152498985671180597663758895462696074860401548319559487746445955078964544474834903510739562023093798643934225779065853721288328308492239868025322730313395845790929039799609830848531380306209285028262798072076814054141989486688230305750083494857717737962517526012613637194208399096958729750604268615799316992135791623196376429302840976868884879349629518978353891023096296454832141667519178572014401441572445433660330437339567763607218561120763828250834422834699912506137641092315638650020935246304827990713271423014138771842741277393261183964431367243859776099377293438027983314786668330729876472897624308027765274507743476043749373380095776137472802264837188648176272397908356440045104436124781191397100453488887544103644615109083633123621464996575701955063118784593675080726699613616139007378150855419515233467303546625673977602831054677649612441382026950584704440966457159190706827342005328463844981205723011203634079688913557039705847539157425480534980055455789508729946467355741343800659240430513288784762210873922859412696300232592937736993996215052438650728125068928506667425368203763806653050148132506541611956352601210401519596620580940866344408553124185756833348459946192073692757951775729778558078086089340189776104089393724759526349910272303825033689623735522631598362061932010112807795727306674412018157104473883182557268356764270320686872561348547888411164153464027252250269055633367623245178516894077018196010566157404913033976816337179483410036550775991151860907115014986197232132399313043836883342722978021254210961075371811904385145559885519395746043600215437219562535738744005771871902876322561262531589212976473482343219364427019426284549317618726254909708364527616873087368579450641965512269884963149844327017181076278730056916539046528483636342231327210794121947092172999787466582733730186562593980107922143721699653223983385747428515032990674437918293903779198134281938678321881001585995313951045203311479679710044833524630807816456792642914527660805639146841414233713794941994378320242697926304572168201654479564842291861066087410695704406615736373175538155686421188563694648341132225209602348199759818515738960423440598304526398518036124698293287034032582600629145598570932537096283132255471225112340656117785440973780085099650811493424918541305787268970984066359904276745335360931199782079218269968068175453267222126936282234819900655579107652602096887321566414931514399397287472405405746230732954506984847462619989881829400550440266993171013001565931913347833424999229394710154511708779939621749222364655547840237077268095572359660608760991297599933602447289049422508229157161269351832193604324426980378697270916577991546693628830263439106286158119014608245160109174071298091606648120694005222087720382386725733971390870181166076151339738113771252279007090649517596542962559557832849519788163723367548966174314246357106419521848579137647751951665586846586291200430842328864809234003907514697356607739213850307186982659961461284516127984091511292092901901806369942789118734978012452355838259494854517821552634211117119104770363457217360223145520859521009944425944211963042185364851304197049262550946458232813374380682195904966334486779927826032824432941551225197167452390325097001688401007384166005131555100403634060270540434620993146706420520610095713583627769650802980860711584012148674568479645308464568124170013714372459197824852361524834232098882276516014975600438569374807906793919425436861865752948833058977512405376570040383942548675454487617687302661930022656902783080567129957821451738478321884509655641256463077268246056489500418357719754981316538378412735505128956613373026931448296976771878447990722542139759046823338154735643609676938238000663058902217789174208033887021716206965274068286760775855573859231173691774078264387293642135550981964583604915674669294484677979910391099939244825220116170224623970610093150959280655057484566588387744490569593229567635804453243751234862303307752581764769169647673179042363380062356410759953060247857127281168276126198451646681491483964494350894033825267224414280244724318673229513148532347640013906766580444124689911623537261833497481705887713585408264111473415082537017449205747617708580204077053201328017659575991172769322867356629512599559909291019087237116023918064534647835536685949003956775932076556932332342491355389732108132720915366742986922838642657470481750804510808954892174122039702972731195873734356791884693483389592502390878439549031799608130534476300496883958095078807182666038427779653655489492734166106319100278262313979524945629402818888390466348630115274874468680000116463686078772271008003931810104706363598587472857748397421008944593293074366784743933239282310964856897289536155170723807843129357942990872054064074630261026487243869778921296122693284004397269063640746187644135087201003740034406028965753822434519735687904362956721253896654747230701259719884854440357081650018047948605220392081244254220377520721656221286164671785533876762393140133506364542460310504299365052283869310872131250185950374333860876428283487136826430786759665268320094770088685141849349195749806321741910457459975079736383448301775573554929184596182446026586489015272371206443856072944254328730095399142101106900617946869190175079598887310440419139530030363973379521688352993869980167311232685470935422076291038221340131859726755840311632603215724479809501581588161495344231139426073378962629653753441293532931303289688394037426379186509423813539253713397240091912440885876295874211382739739983737402235579635220531612766029636590370971461970306217603150306003885895354201225358251001079352227392103055776515253104223319715844349707232037159731018655182187774702957555729741719728297346826437974490400806981905546846554869063731917053146317082172401234859032270138457432908535842300011622388004367163236692279342464627216560611907512684565914075498990168082284217265813598583699688323699960948856462491585052487753240715591087047396614660969671876122450492822343685138040194264855524679656730479823474585239525391454975216672259589596123862832236649360152397551125674473441160613521407495506665975893170998987722692009342546081003376045174261656507573089318785920904349751984549771749381809790876398786808349213980005072299672516237810795281577444872826220643747332001055440094914564844857499948518536959625886664100298922399033778497456009423911207332680306636640602189659101107260223444050910341768554799381376137206514229599593842853449328806925022657202202105786039558235795124162418277212157597115565017581198064509169643186883762513507009906057007711011227951455719953149453846774225573082566120573500288342248543513721579365947585379516600167350070870900933823442622853485797285974377774008861692019267921527428819506462300169769474081848939168203665720382456255079094020869745417173723777492401215392793683714571913464401436811866597539391575415022160175649934178748763781934690377522417221702115292150756211028796221178803469428392189617492085107904122191662064195091015242567699031541485177787914707856036361698471879050248490569951473 Errors (if any) and Timing Info: Timing: real 0m10.313s user 0m10.130s sys 0m0.160s ************** PARI ***************** Host pr4-ts.telepac.pt. (194.65.14.70) Time: Tue Apr 6 18:50:38 2004 Input: 1*23 Output: 23 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pr5-ts.telepac.pt. (194.65.14.75) Time: Tue Apr 6 18:50:51 2004 Input: 5*36 Output: 180 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pr3-ts.telepac.pt. (194.65.14.69) Time: Tue Apr 6 18:51:16 2004 Input: 36! Output: 371993326789901217467999448150835200000000 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (218.4.236.250) Time: Tue Apr 6 20:25:19 2004 Input: 123412341234 Output: 123412341234 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Tue Apr 6 21:35:12 2004 Input: -12074896022970*bernfrac(3500)/(7*13709*55152302666617654862081) Output: 25604101338431232455866238113503034288981237997962070052731257451358666561161993944331053420460511917878757289338585358468775333304507031841829917079874811116927528597388398118938509737029206430560687281705422113339098086707638788289399619457695623610483572877359824144945922767857103792470373123406785716226230608880461136392045052681241561765547301203717621660331625811429389925680168630459377001624653889786787232957918986189897638969825887934049832265560302482099558046067909615188927256005095725105117530071941251514546147191599280128668829012929374572129486793212275845813517924547413521669524636422362664339146608421777768256950068510854727499126058287809076007660123857706700084748639459932974718556632320589205493197400086369658345142842906796498802501829891797100220249807541536251249694912661530066359693238919336307602647242251957814239738011136557866269429755214248854312057472432672009925693270234964922226174061459158841208053408453471026460640321338434308825532250651081848845187217505591441066208524122570563114084116762492036907794771522377288870324984220816902337312284741033628525409502309740628928134375800085213578089977038962039739523910570669702729103013734531359509426157405905667832664782767860658714793030297136726989660102858109372587497663127731129933881641047426525468195885817939364179783180549790445634886830860346027495319259038505342105258470622870229450682238463098738929966062996407000258788460719057611642823037810579192992157098519898905916762617406269999973180994544982560550844566405104521759025882178790397241861439678991922551069990210423483206140279062269351486206200428044284507790477353225621658292468891740298773943201265503443505065976177972744257832525510107037537587926444209728749198471133796616746834176424842825878777164861843756648872755615583839860676424898605483950791420450235595330426510002263238009465920736416745122324687539167813325737475251602405529626328996228551062314889160326107440407790985461617579405586844441648348506252540295702773813927567936532276141198874839090084366671516980677871160286042695373684548370877726547153211304032860722045752254237027986880437705638856683133571099156818400903458452537500553049940186383533893090472384866163320209184851757163625417957999747926013463327904755234453575917080192967842738237035766376337750226048043365176068595955322994300616096141679837623436121627876215503166640097838251251574640262232007305237487034270675533860425326811995728462567301286484375101711704186074544784839291922542479272307299805386531224509414120121693404072553498709124977655145010906409187457374237619004910947600725803061706890087673026247730645033832473628961259332201577414266896417588110991451361509252359861108947771578522563207543918779509506431604359823067618052870731639346035198003435485855939055152194566729268272403256939756159225624091315649983070796790076207227946943495652035712945769938960459445675855977551289279158898096605337486155518492645225003567541561361653868033931862528210564848920917088159798563699011739158026592933290482336693090022337355785101624983941935705212761644298691604715208012206640005353615596029366998523684657081054863749657114755848118855475042846388936804563098448838121738306187645896816092651672637133708459132242338020695396810471917989538727300868942111547412637683275759029274639383285994444672908132545291346964962855500496921717669686954455487355619076317314976979612326296041554876844829031029512375195353767718365661316872537103010328642306630554984354738243197186978968795468138084569209897660320078858874448255796450777008995520041886967649080884662403055713856883466665889785872418353967079414986935085745223537244323241204517389594385133384616193031895318446750474085498458776911903011803702276063110397631326245670613665761832207923064680620760652891959414090574280713989144208429628589711677146299853908343571410362976380168560651072737061547590858622580950724018222044256165924800427658561985221033665661602850039297902453864289749493489469181020330003994259213678295451792948627028614035529405944935343493015087014511023780156192632224577069140040934259763914512461071491913222502721580086684386286515608968392164215821652332921146341546220480824827690512670948960480791622209500147215711606507791514498001652894043309288120161677156222388727037314244945598488724773124618693897639935392676518378364097401255131098143259699439978941030449228117605536293058394669964265471339511303942889481091038465254137511280749529401691164653500189518990565476799327221130655401557920449977801277000448613695024629706578680907177470685738289269151852246798559884094216976930852760365332614822422398938758526152470535542654414429073497601480189371494267656533056126358867863461485950481426041250357013271465968022029084086165693655623214409813119651111551405871372592868426533541809428544216387267480677801976732266487846149744145633050511122680036064557189233049425146080363225405929364742198332185744591677345114310553457246383527596491646956245746490211606359783330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Errors (if any) and Timing Info: Timing: real 0m10.393s user 0m10.090s sys 0m0.280s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Tue Apr 6 21:38:23 2004 Input: -9177517440215670*bernfrac(3504)/(73*11483) Output: 11864067555830811693203316236668652533351549911523540080915335104004274358407473483571019574058636324153068631339648294619198275969229221473876092853902455638519386572845892896654614165247823684865251732629258724395760007589911576773251591536870193647343298119275592681908497713376740699669061287216456159341565811790625407758324950867104787737002599748504037619074850517094268081484825535136047031879857192012808364787211307937585374580982996579040283306607740459451948264422265026614327698720841597369367583846570389163420108293287216113349136673382138612054515814634736313362340638730791296813332350470856008348101574515191875447984604555481492943017271327845342745519935418677943754245360997067394778002658681277846683544558571856620721855148656165237671557533216521607221047098399434149194721329626764340079076147169507727637430318431245740639340186565781524829240709648857378183798156442252066538049053916109498143795701020899352961572104051194921602721011098670407461625320076640637581296535549990158875414244451339081007457553273407382538299773610902977489309858362165623918282440223932877324048799869942644304780291802201350686250788008168808597663418466096281120305060281537220997572632937708792048424805897638139904125562775173608649026093349079088766972839098945177255573131743578275723153244038367481254965692358233556604121418948661786911013933254746957025174145092734080545283726597431254889930945467320983164545350652515383786249410104139962567785434391382684680694552947063273766328724425608039374622785183397179495252052841347143588266741730967261607651150967814976629728664119009770544982833477942010669913026658280358584834692831984053951255840189351445244680318144964941997642801406801134885560240767255784776916590703161694471724592278416814136335254718812897164380671739511469663993026512114081390885428901391582535734278752958170970117833132744005017354790333654092781767153335638945547841684845644071846454365327730986951313412314389864199859798648013348832214677310749044482973028468043244371829118528147557960560907940244196032512324526760610363750778083356620118217925098558849250061724278659067992518668386198390575027926736151224991844748053685122143729576060979313407653979809337629013946503839952921774974820823266597931649987436150782375867426496664513906309116181140990187284054037388622967174363188624965681092149575051096530085198891362070585113739540191102416717299697390856581912621865004827385009161220328840572455401935531494891340260624918540183301357990827448379784079463216977034193478539091350586648075608676804158462349847632938552341777297616115438051786713426589570499327424550626932986373696029282336630875290276983398053903802296537593186063197296881594770388570176736293797621681860149402014967569348204238092773732830127988784270851647716825809231513084711277724094695939255575654407567823548808261075863057496766126972718908646556887100956591329920996081770383901394187213229037357840938490205893524702105554678775354727462553490698299248501408318123615943292936116849388965474678788233943947712989588537238061686016059480814350642057515448265996528142009139618664729812281957202920449034340631223334840806187439385042337639483287704677668795897317690018045652925187542637012296074393061178152844136937115885282775229674473731739891401711173814296962848882794907973492410623087236437377366746545091622923826053134682077805993858666469458456132733935202136427506841660668251934090765667152847605556065955352763857707784536968962016657448404989106335214090377257128247415837273746818434114894955479401621794574713300423355323599986869586590048516036176240548990623165806093951447859042539886177990828982081060866815852607908081283305039120125913181413956175100503060248067607945430047469587893475164345657674651334085743530566747022932703860385628328047105905229130609314720501746809953004595718556753663445749021656574004014967938765557696773139412838622741208539994161002626250569397339829734870046216838227303143052354498620429405545130253019592518421437870426239173887953573254728347458586341363848495275036980347571017670677084703587462797586605286942810769367442685996627515417863821264988090853757555754019169940685863742796053007337060521712856980426188703568186198867679616307824355289758078181509796929253127424294882227069236979863380777926756807280631785969421553817929623495878221042356105913659143806415020486668007529527226192130711351783725483632226004908778973268062884332182165987923907074714944730022918481154950353021285614563380447469273092588969957559982792063144913941923350428794128720657139254578799007789246297546731095987362391934414415679508149926749296290265551395714565479609795585071854338612514638230021493292794879895342910872604751836081358593169642374086255048451132900763855075346430207130741094701328439366984257165096149284128886269954283441270430810151746903152885655155734644512639862906306466884801090579118742932726497195920244061751629506087104637795399790882370755804853495093991213944423452267332333360530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Errors (if any) and Timing Info: Timing: real 0m10.293s user 0m10.070s sys 0m0.220s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Wed Apr 7 01:02:27 2004 Input: bernfrac(3552) Output: -1599685715699477519670368741553198005122360099845608012952730767717200943190200863082319327561351419291187856309859208367569417830901311450503198605697642658075576098587146927414061469258239956173835241031299573783221521732396719676935665447979649429412411595733709263607453247667258830147535132063868295807285171614795580575603049845259309385513645709783757361451080383355069367920235188940883101612079189411845167033996813433641741441487389987219953759361259540991436452165541353738462406684633964513929667285841576493362708230540746423075342926931139237741317508446169353847751697662387764192755638256336902483767998664108206604537484793394961788149298442718214323261634395011002494577800874422800761202833190748128689505690108242977593259316474807012029195456637465036062791535191985370263305541800867033751501310748328420234643982222059693816864986697637985769481385522332199677143677117547524442259235428714463018768036587284847243165615829124840119439319243192213946194466645159313400221858740036395415934149351948596480148044721712860916535681396289920038013683415921925618496886125549776553424809348018751211665786803301989151751480047184897970760428562584758768131330844795749749500057128924183555069722058292296250744821723779671916017802664354979098557284714906237032885270985578027341171740107930804680572342718244240797581161242142801871273626468565984856010320646249170375844492692908745984078564786794959792306759181972568716118130308010763541739605270967207452286421898007977351330063936629774654618506042742167189610402619337541863662678064326985608024879909898344248261746546029495266834574211915373124209183334258778294973903040021894009862105185340343783152650379859951706154312770297237143101577045279665883063326355607063964298742568828108570697385717586378815962413497586016271139811735534385959709738262468398610938315935951069490768994214556362239967841214973015917981579350177666951063949393300298000669644220970973825876314396901372536338058636293220257400027490058289571539580438213489738684162175847194235940350303527113430616291292562912229089915762575545440370971236631442337430861997222440446620310343277129654509719632444826890762322899593268251378408312594285276714552193450499272163501380983898764011013861884738792724407216075183135532122129107601170113188824077205135420390900648964973600843256684576002007671226614470849690106194919651932949175730710454653731923608877327720535308142453123731974519644346538302484311623858763981239007599683196817740315353808963472049277179241958684094371231813305194613805868730214339991466705968817947470312846146087460570639886755511823917025823116295010621158916204379281020409854986264079488171214254634945338327730115178995131950221686672392728661732519326924200099964935394206423774856040592598887742727168591448049446420592020540506139288190263143489567602326040613532451969007758628347448364220704647489658030705316532700362934763844864170528916116081730110296219059958043284621970158551256188466601197124103048498443174375841062500694447550034770184262873329340116880314897022017876960267465002414651845540842504857507877076545978578939664781557562697255678903238057457222135430432403395839183625787956053132538520371056338723426270981496846972293626395964138944260806973537873877655825407381274428786655625605414861705453786665396240953318382395155136856559185156334557740561809467002285061278099696434235599045624973631329672398966241980092505751619204743986741153163774833013195091388808971713861417393395200378848170083854007917230677883415088447855155322957126045652178107177194827586336265672929072908892783610066672277723496767590686915229024727743001844944708307198926506520523108154570673815573278786215702830947040943737333521287650811562558927455973357374318269058277336985126507978760583040772320278890645283826804552688391165917751949634469131665093214400020008257093791980017659367267564397058965184322004791423726198626306371046448885997097935965717171582570053741678575300478313597740581446685466205545037820579760915148383715059653369217221309454171186381601178369927881750777994463571342051612770982460630953389341396917501059716671854003904385992955105688568601004188363815014063653418809096151567462395339439565900806148605752194821797190186454979464297107693414332844220999655204099223160155428119584005059576486245835389838448564234199424833193504320763063629712063452340168076401273259780291429049966756001383080094814953533562420132326201571634105378302277892324240457195549671981261377874118699148408285037191353826920420378684369221654680739119468187618053468904950989961485839475503540276411095008401676338352866784986131412412863698890320530213564774785891459876968545665935047630584757948832923412701572366597938308484640986670576439882360785398906218186340634240038723205415559896729953609157901058607439081879251133725488178530919610884290931468928377827818424915526744248701254529722380511317851553431114751433814406959333274459596203342908436820816615809792978162645031246483852502994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Errors (if any) and Timing Info: Timing: real 0m11.842s user 0m11.660s sys 0m0.170s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Wed Apr 7 01:03:44 2004 Input: -157621898932142190*bernfrac(3552) Output: 15996857156994775196703687415531980051223600998456080129527307677172009431902008630823193275613514192911878563098592083675694178309013114505031986056976426580755760985871469274140614692582399561738352410312995737832215217323967196769356654479796494294124115957337092636074532476672588301475351320638682958072851716147955805756030498452593093855136457097837573614510803833550693679202351889408831016120791894118451670339968134336417414414873899872199537593612595409914364521655413537384624066846339645139296672858415764933627082305407464230753429269311392377413175084461693538477516976623877641927556382563369024837679986641082066045374847933949617881492984427182143232616343950110024945778008744228007612028331907481286895056901082429775932593164748070120291954566374650360627915351919853702633055418008670337515013107483284202346439822220596938168649866976379857694813855223321996771436771175475244422592354287144630187680365872848472431656158291248401194393192431922139461944666451593134002218587400363954159341493519485964801480447217128609165356813962899200380136834159219256184968861255497765534248093480187512116657868033019891517514800471848979707604285625847587681313308447957497495000571289241835550697220582922962507448217237796719160178026643549790985572847149062370328852709855780273411717401079308046805723427182442407975811612421428018712736264685659848560103206462491703758444926929087459840785647867949597923067591819725687161181303080107635417396052709672074522864218980079773513300639366297746546185060427421671896104026193375418636626780643269856080248799098983442482617465460294952668345742119153731242091833342587782949739030400218940098621051853403437831526503798599517061543127702972371431015770452796658830633263556070639642987425688281085706973857175863788159624134975860162711398117355343859597097382624683986109383159359510694907689942145563622399678412149730159179815793501776669510639493933002980006696442209709738258763143969013725363380586362932202574000274900582895715395804382134897386841621758471942359403503035271134306162912925629122290899157625755454403709712366314423374308619972224404466203103432771296545097196324448268907623228995932682513784083125942852767145521934504992721635013809838987640110138618847387927244072160751831355321221291076011701131888240772051354203909006489649736008432566845760020076712266144708496901061949196519329491757307104546537319236088773277205353081424531237319745196443465383024843116238587639812390075996831968177403153538089634720492771792419586840943712318133051946138058687302143399914667059688179474703128461460874605706398867555118239170258231162950106211589162043792810204098549862640794881712142546349453383277301151789951319502216866723927286617325193269242000999649353942064237748560405925988877427271685914480494464205920205405061392881902631434895676023260406135324519690077586283474483642207046474896580307053165327003629347638448641705289161160817301102962190599580432846219701585512561884666011971241030484984431743758410625006944475500347701842628733293401168803148970220178769602674650024146518455408425048575078770765459785789396647815575626972556789032380574572221354304324033958391836257879560531325385203710563387234262709814968469722936263959641389442608069735378738776558254073812744287866556256054148617054537866653962409533183823951551368565591851563345577405618094670022850612780996964342355990456249736313296723989662419800925057516192047439867411531637748330131950913888089717138614173933952003788481700838540079172306778834150884478551553229571260456521781071771948275863362656729290729088927836100666722777234967675906869152290247277430018449447083071989265065205231081545706738155732787862157028309470409437373335212876508115625589274559733573743182690582773369851265079787605830407723202788906452838268045526883911659177519496344691316650932144000200082570937919800176593672675643970589651843220047914237261986263063710464488859970979359657171715825700537416785753004783135977405814466854662055450378205797609151483837150596533692172213094541711863816011783699278817507779944635713420516127709824606309533893413969175010597166718540039043859929551056885686010041883638150140636534188090961515674623953394395659008061486057521948217971901864549794642971076934143328442209996552040992231601554281195840050595764862458353898384485642341994248331935043207630636297120634523401680764012732597802914290499667560013830800948149535335624201323262015716341053783022778923242404571955496719812613778741186991484082850371913538269204203786843692216546807391194681876180534689049509899614858394755035402764110950084016763383528667849861314124128636988903205302135647747858914598769685456659350476305847579488329234127015723665979383084846409866705764398823607853989062181863406342400387232054155598967299536091579010586074390818792511337254881785309196108842909314689283778278184249155267442487012545297223805113178515534311147514338144069593332744595962033429084368208166158097929781626450312464838525029940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Errors (if any) and Timing Info: Timing: real 0m10.846s user 0m10.480s sys 0m0.270s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Wed Apr 7 01:31:03 2004 Input: -157621898932142190*bernfrac(3552)/(37) Output: 43234749072958851882982938960897243381685408103935351701425155884248674140275699002224846690847335656518590711077275901826200481916251660824410773126963315083123678340193160200380039709682160977671222730575664156303284371145857288565828795891341876470605718803613763881282520207223211625609057623347791778575274908507988664205487833655657010419287721886047496255434604955542415349195545647050894638164302416536355865783697660368695714634794323978917669171925933540309093301771387938877362342827944986862963980698420986307100222447047200623657916944084844263278851579626198752641937774659128761966368601522618986047783747678600178501013102524188156436467525478870657385449578243540607961562185795210831383860356506706180797451084006566961979981526346135460248525855066622596291663113296901899008257886509919831121657047252119465801188708704316049104459099936161777553550960063032423706585868041824984925925281857147649155892880737428303869340968354725408633495114680870647194445044463765227033023209190172849079301333836448553517514722208455700446910308007835676703072524754646638337753679068912879822292144541047330045021264954107814912202163437429674885416988177966453192738671480966209445947489970923879866749244818710709479589776318369511243724396333918354015061749051519919807710026637243982193830813727859585961414668060655156691382736274129780304692607258540131243522179628355956103905207916452594164285534778242156548831329242501857192381900216507122749719061377492093305038429675891279765677403692696612286986649803842356475956827549663293612504812549377989406077835402657952655722879622418790995529032754469543897545495520507521485781163243834973239516356360549831977098658915133829896062507305330733597339920142693672515225036638028755791857907265624555964794208583415643674659824259081520841616533392821242154317250336983746241576106377055932182945789582604384863995708512784213999502144599396404082809443062170216234314708674891184483143632348685744225352936116032979929730472704278096528096768600364587532004383131005249620009467662894957584224088988186817002430155745285011901918141530579522633266540465471363422170549818300801473235665741752078128711429718736979766984008448494196667960870093256737085500037323889155784081455726614561965524519353383327987354652138043274867924022272356895551902456774296350637860628559042594648855979097688401342975843105936538728356100830012287938700638077765614068521841687922263026338368766122656823900314158344972465919124315762076155143658211053066812142626465998883353901925184143383638210969425140928107877478539697782364062509355299661096503780723121941186946643868007973260031322059577818405957023107736867013193816601476620144279127840950783652214870856396551154828695473495322275678377430686329903345266379475475645614668301853822920255308664649203797463224005142247121339664927730827392768972135344827793174280114073098580801568397440987370280079317941753085689970705840046759737735650269136304989782977258142059147745978300651433743201166875022731418937687771622561356331429008901084240008510730324807485412634189254450049879482229861013726407474215637268639588690744937763666997384812363708706362984659551238896854751025839273852392442460982127660169485986401269521449362053084836331373161446969564260968254253547957534774476367713915181228480720686384890630226551220409104231329328549582641636805661270332028683191883687411772947179053341387288443215303837299797452746464993080722733869291211703059326794292134370644903172794464875104004596860919132898126429281488876969058251971814217450058867761545806150982061234403488456997102259731531683181716128853802349060243911560621671484992116410781797473527651571745153346366845372600424400836406511992900905980747319231420511552864144793900493758331819918516932648074610352453305953483530953616940663586172734213993295936066733288245762551351892115056588972432909712628853091812404464441135264633073681043954226244498618540462106377451815448177569020045366900012927394533529228288796383933649670826480024733740100407017658627492467823085707740043275091079131939210216066583009244638182999525962998740252470186959488100450590648754172594404192045636989216329415238243623341984292137733826147632306471339618940706719074383643832356491525810255791813721443630617411378369059570249274598795354583351488096661790427983509147258492816200671167392008669271989992217931144328866929764142156224092677026128540577921083643647392798984327900708150584705550764926429522276769113393234377871929131732937814821845541545712265592443794018496465450126506462688329395082526186620297025986103769608203791254353919145991252387915318513138686821969289159197852167934183102321390807485636369349595881907696160779268200343285739637782116445530837477583147023847588794565032923955152276757803329876096213425133881328591920502903758969709490100688869690024854348224079228889956157508606078798020114829763635938442716522104096038678777065778767755657656066475573063321849643805854481345756166557973817472536554134975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Errors (if any) and Timing Info: Timing: real 0m11.368s user 0m11.070s sys 0m0.200s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Wed Apr 7 03:38:34 2004 Input: -9177517440215670*bernfrac(3504)/(73*11483*150731867840137 Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...(73*11483*150731867840137 ^ Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Wed Apr 7 03:38:55 2004 Input: -9177517440215670*bernfrac(3504)/(73*11483*150731867840137) Output: 78709749476557859508344216441682285834659762671485990745282212269254996948670370493758566120220589184431076513497155620047076341260595182279692974273237385904100483884622915652462340148251932816126517243279252337389669475880417724246095126931112529726837462526484511913432209580217993581765008015280190355554426503893806264978421827860252062982634006055685966348900924889543707088549789493970060994363800047610293874937818177021264022377360353474503755862047263839564504060989712801252659830816238248325456159931772272991355876850835157528560565980449577997581285876866286945344669042875698482119057510239672071917441313393195632200093466007367696785613334527797713242280399860291091974731420653686079694593026867381300798612377453089025730367247730910738766696082131629543653342053297504213647907858032780659148804297197544377280067644463672370107137812875900250961002828335121364845924043020657196575447305756538695479798913501068312047943223393975779057897438557605254926979137185723084047613507550332999475154973508560117741369060561870464359282482021459144344355777203579614162137817350838611110464794066606257932464341343257934588908771470645686758657100225119489221704179948108360977899377248603594520027591832095591206896343063178111347594629182460665663405355620578838850094570968038053650451087152250666729519604265865988610156105050374432649384675451481430568314333022639345020801574690838814687365984873798363624242873820005483669431780278781758735268395188195346591637978235911571672794873131513544156740198382774224156218170384730115336199854956738007258028269258264283158506117747960464780580024783875664381322083749878631235045401660597193666596697126281172587730454175472008304815031353779681433189177886455346797526597416378392620325592049850561516298033502065068908462673934519527796120205875676176605126724243986388157484220410365185002417953864842611623775038438889656377929121618686691504213265701597469364002319487399238968679913484784393498512777310409879292338709980428210951211880127013546760887254140466680007032970666883182408595047174402697578141315984294875954269052468958739268771453256206436879131611405539055411637416657118701208570671896608190811627513756404336734512215377885154988601072547549500518654267753652632617491068605882049285089126219325543627636562973437402460285820294466828055953726534682740521109554105554063577725900385498215934275032232016867822697004180500620885425453770742074935084739649589510209332307923935405835906886047906755242878537166538266259915164869619973367181625729531241665817665678364801043948994494792280151817368703518591377786011959021132812500690161654632743614430959760387983455828958984191603888260873068504937107351459730294864900451563197751798877088670353620430974214373200994698982993751484897134545569104653935155812727995239874644339488821350633544208341517411081963496688430796650571194524499434431655422644296574100084656995906250048800218310705116834650988221971112670288631595072694696589103146864219155140146442796641031000109155786617325919364870882389451324151402711801155104126249652075890141372530068548628156565613265886596046525749854987194012064204876581528990443873198988776172717385872155609027211206745177172235070497568587271736188946427409993491740498608477586268152847434095306117327951668094315342881071324225820734061391653637195621849391334035973988300315735122370117788717698361730957063820961357878298715053443835415460676139915918357146785057321935763254924132095320901205286607917770500864919160915984595099957845293218516796515955508070699918535661587180620416213582951132396772946968280321831919694898273279220083407892271678597004540098605862005667506121717254502837891851059744214885448582367390562847010015138133695758733080085401979207588419588466579972038669385008648780418096326979815981362880923480261270198320033985938451964847919905100270272893228943527285640532506569281984024934519160877434658710283467382148388922704306484711969427608684554409888898053905159186357231327230985183461989751591284643487105795935826405356746477665289802248594574819537468560041964192453157845132827371869444309670018939609869793813412294934595501702287655881680114931991117346968008420393780236513248458714408203705334726348734727911655710147709274521329209226893575697364691147693338862645579442941933309645621299311751243776083360867470258773670569014967407676830155876047175480781919587677177346442892405592905772521889495099569012436272488848129665531666254316033457053721456535867348846283291394364296508750548375980777321896376617081812974592596846779719912022857323673039264534561614252565427648317881753835367043705117692856572939735119811759747237146517313951767053499990901029385094637986472290141750412532316839311292397206907982787928973223681227791409700758337710864333233104656213960453415388637315057755384888890187209273238420842438352563837914425351201470168374925814703774891817225461992573536118049218803493709582833668145318403946253799268677706611999364501065414113365546758602411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Errors (if any) and Timing Info: Timing: real 0m10.333s user 0m10.150s sys 0m0.180s ************** PARI ***************** Host wwwcache.cankaya.edu.tr. (194.27.200.8) Time: Wed Apr 7 06:29:34 2004 Input: > Factorization(n); Output: Errors (if any) and Timing Info: *** unexpected character: >Factorization(n); ^------------------ Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host genoa.ucc.usyd.edu.au. (129.78.228.114) Time: Wed Apr 7 07:13:39 2004 Input: rounds:=[100000000000000009000..100000000000000010000]; yr:=1997; for i in rounds do if IsPrime(i*yr-1) then if IsPrime(i*yr+1) then print i*yr; end if; end if; end for; Output: foriinroundsdo Errors (if any) and Timing Info: *** unexpected character: rounds:=[100000000000000009 ^-------------------- *** unexpected character: yr:=1997; ^------ *** unused characters: ifIsPrime(i*yr-1)then ^---- *** unused characters: ifIsPrime(i*yr+1)then ^---- Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (145.253.130.115) Time: Wed Apr 7 09:29:34 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host aus-ext-proxy02.amd.com. (163.181.251.10) Time: Wed Apr 7 15:31:37 2004 Input: 2^10 = Output: 1024 Errors (if any) and Timing Info: *** unexpected character: = ^- Timing: real 0m0.107s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host aus-ext-proxy02.amd.com. (163.181.251.10) Time: Wed Apr 7 15:31:47 2004 Input: 2^10 Output: 1024 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host aus-ext-proxy02.amd.com. (163.181.251.10) Time: Wed Apr 7 15:31:55 2004 Input: a=2^10 Output: 1024 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host vcook.freeman.tulane.edu. (129.81.165.219) Time: Wed Apr 7 15:35:05 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Wed Apr 7 17:24:48 2004 Input: bernfrac(3554) Output: 19477008604797895287739650292678174967471069214761836786361132201893365554705747725625939354037917967331269823711157360837047996750815645044321276903324244690136376925712906427878590923658286398934149872003217703071682406405149171365826708867567365195583574389969324761156760786305785900885655616624153698778784554575217307374097329454546835870434704867567172620982352802062133159952219252887495877437540634819226174358891378021055898566298507071686493752948637544355872882889695230182087325784335840192340525828366278892829856059125580717480741037207836693774586815299850033388182661065770699244311255788615612697131487168496866056487220145635842422153109829110024772805767412445505174179587705459547819416079825647419592822541412364726806938006341686436328835523355234131789012042652621518564240546084823593744424260806558146731275531359500160882100145913060718327802545524122951885420667859143533219487933169263369581981401427225173303472696906583778180007760853401783097375514932457676475093913510922908261744330619905900430952418422979824179276287842183229318196310886478242665053787450908053021383827268266620016822948171599718284869462893908503677527973208218587276862675225318630650606149361436850521962987264163607212453088974410422159493798563934057051724649737055083759096635309895362497679386057130538496398315745414311221299452555127122152443052085055300612892675039402675323968709276267273649316966018623847182460673817195742957857529998137300832346104737968437393985150409380163854494511356381293634600759934696954019754401970152574701137104885273668854180246210087423143788203239515376232308997456902551396517092066767243690897872191252343746003391561866390233254134826812544234718595080649230398985555630842875754406707068987307450748489174072412633713213472285927331957359339390918994842223305056766822223693169599545278194257494267340407394638475609392787907486402329833502546126940844004857865558309206726630027824370688977541945619222420924390478275441323929337728451433220332284056752705022892350819513729035570270095764992439413238607533236912416141832333847122258814545248964969886508283433706592236328339720362669811518680309250295927468727575116382563151396474994493900407024491115235866556775394673489989342231836578201565185344932588114172651505376728504090633117532224692543488738034118142005424082208324312527188333127833050579100771914908455990067871516399490357669482298887672540766130996578412578997844836628496110599130582760233936264852142743695258156642314600248710112913435043254238697100129557123094975046645453442328412278879014772576154187438082259777889062927716403926246936674428144988099557274676522349935271259112557222571079361975413930120897122464524721523400725446662167934851193839413659197574261930974847335352167279002138590105449635284055151136445929593227881429419676044799178341847248103524401509878729893088589905991623955861570254710087218940678732684148857165313573848287680428397289881456955028139327472006270562284890453873953472678478147151969039400634742308036716910522990706030647678813180464870604543432517954826695959284270982782805801667863511936287508637384580869377584605826604954902604970942314735225775661651238001310921121314444985066757518861154974260776353259074759034471389138679715598723350051981543242377216507480753276904136354515943581572483882436460889101036259909597117968560199667821268182699412601242485480847001485469592579117945389988001929982552953813868005064565555347548042440683261507366743312648457909424241756915569290182869469625746247952988574816377882796937442809106528317181653066212089746770265764934023726552933320170677819080437965772933637282523838800643130284932550375403903677464465088695375100026020763650392543597928114418316371411212199054959350968768143717700616163560599972582371919915912111049972375558789762221790261197422931635267447081805268860466191021213191879187465191284804868958315161983153614286568161405992199424081054470861841349095551573238446725401930025696278083624624487891317221835577404532523609575356664838670865601518393143509584745058178804667511446218808914619526140120521986839703601549044013804683380279626539582256572988410538555967616952646476683781306960441961300672596212104936630398615659830615923691520757774082017589563951643902380085404985614773603845011193757027094152696134492198416326611891031343972169973381102665071532672018277357457682592929510581219883945662484102454603477138796645324594065426097162601896093105759382160124637111570888486796364917485309758482465367844581580837324896503561494326165116386401791368880042542919231113463315811480858211346836737910646389494332724142170460344150830894992286386528255676307962457312203494055368994737782297879097708465596669289691314239273908759021456760568508413796289797738218854839093427555737561678238513815783802167383033068923621722227394903530617152740260634514131831202713442459519756948377776186544799042706327398693105354732239891076838875171430461415236513719775019929905988527249473552157791482508341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Errors (if any) and Timing Info: Timing: real 0m10.647s user 0m10.510s sys 0m0.120s ************** PARI ***************** Host c-24-6-41-32.client.comcast.net. (24.6.41.32) Time: Wed Apr 7 21:49:18 2004 Input: 6*bernfrac(3506)/(263*1753*4617709) Output: 9506350869738916494324263033681240268774878800615362333177731844628524841454392689112549515083976478259028643297035630562200460621338722414085685194682539366573627516454457672517806485579172541454866042402457734895152262473358869591076615075007406113728453130741230624874748024596603518984317262401074519547909478245271369529502707908661017490502306048850606441853587012702739635784902849408731135003883747018959111895440088589490261269043891056981447181553651323630067228054269325200090870652931187901160020095589550753919666898785170622064177345357019749911713919500109119774128523816354040187936285033466750426402803292021349481379453831059779752026542912563400728301108527444765627240327554264378872596722283459739937520671413245071272434016840777177724342903575345649977154217257158114633448335742907714081101386813814251699416683328097268502001439993179160856604825075632654139858439783919489963667275245516059354104062635573448249166659507387888350780269589409785393504713578344475224715560897310656713074472295398647987027116781422156861609103489369892616659762641291957995984436541170552567351049687374432778646485170048991752469393110583340344053097809459817917408842719010017321078147056243031558387670264334765774975329186366056748068991060331303243401810187957142324651716623858973015893730993916232263800483528661471825382661651301760270291371450163155255628686211169730438501023669858286018668290195152963772118945511392348621257684637379088803013225646784331967345075657191059324529277819820891883634236571408375217372366159205079203016380626886066023826221345676020575777355719799922828263151832784558643639922366961293900601714933162487326393601302706434586718240264713695725508635627923721222633569483257769564189277658417473707998075019345621680406888437654302488472686191740457707273547959516139039663236466824235975152519551375632665332503900669829456917356237850876806397879269077610842262207896720904096743775650742869041519697001429273119206951663972169758255118517767240274423563756745452098983188921958146995970614324531276083943244827009735480683985587705098410223473899032564271600941522495183923566730739546557320247478472926047599864418005744885385685715434179409697787874124472007902173250447759984853232437891326271768891700532359062523029240352831933997051491509639892058335283689825115898655552206771233657315641878519980116232517957919274649281740744732512540650157375391225430238743312115461083625988677846417751703000805003666438186281733861080195785876719056485701772394491742695615612107853630560677928556731521891301678500316378396287254991982981991383346208027740446795193902915404402464983426235170889176054104028747320283255228003139918591059125274225562357076203703487140783405629413905476310897361189083528013166982258666297061494448237977363962085029551378276820876359217962510938705277025805740380881282188386833291045158029082434485487544684082294470810515740696280511189385948496788254449580483335794692110097065610442071875028877749664527358969840822928101085567301251311270661671130184947522476889492088575499579838216679796649046659190443677121247080624678779876824480929854312016692097616421949512445834807095818256940782592899807941232728202567253233677143017780422142885648504057966361184576402001607139927729271598292697614462642244120655013668213096419119625815420928478339625137212610397125547588002871026043819900541833088307274385592630394480846969734968856518480472341087101916947696593623150969559432808028802216175594756537519011998647023246658237508587797050448637910350225962969751834869341410067823181302212251020003636722738275460794873434172390180749630551923296078215598234157784995272971900230090419308163462240364141776618318043199665930308389739398103512078665512699208667358721560821342984730024231155261496107347186278200385187959925144477134860405428026976059716152637624738923596395638884666087867148596860183797853446296768892889278122388299029072277962016345608568583620540415471988733035265934635756816735029862838582673613065087046375557055206010676695799012248955143285627300845128966666868650121912166044017182860607495625679796484169488738127196498719304302925874622528101652116473009788463446957544617680933110388247861653572339570342137292765040455229223290581767483208578226724850440575699339966060008511396742903350235325943074918536821713784002080405988809614617449809698538597923124489482097810838753287175190835918189001055768449140478789671695031978680878507705577809274096687620027703287921789852053930660287375932924488416883606841829397803160740702875198868721419341893106690229431663315878237372692879732712127391111856589373076741933594408794295243807762324881821273672311757269290699837251570263187413420745267255292254634446372724804818521088387062511179471823990342409468955555086155369627412182049284141527383477055444014750263929738696864856597890379872317506751114664556698674011052046264440876537829749053222184770955727626480841734048649864414004253465210534183016491320363376098655399606408334499939469273548756102896216506975942947958667093565756362856660374801196318238731249377306215082565467786663595514354194624975357601078340191477543436814841497638549785182130606738402942084077272684923862727441562270751671032293882755469124101194026979213482900954935931918346522989682555169677468506586754121873917279255749007382225477665146859120663655553852982085894982006763308633094040633389120335127568833741472809255918250949572435639352876477876371205674064344838006152104952602667711630309087541956291531427679586012013609373756363054860516031385135430822549978481042158402552643288853479118351547070721669720958840580897185510987709817939411002174375076491501372605435913199231315768420304086600404688852683511347392590168513786486794490445913256543845501022236537062055860816275182827611684808502755776254285939949287852374022051482934054112190399186882275263888662273041979436886553457951749433835804651824421397196569072691135283099497237918120346313799859813005333088887821797910905039964057510295726367509076834555626221936243000727406312605027422277381313259346278013222075654946220187359681271245097018618252860599606787520791132589347468263344496671631263276880925206106371402596806842217075344673600545357235621734996886959015762298379600872270537244531767636120683032288535116509455851518901932931149353521657850128918489002562207706316913810723412915013686794620037442395649679809238787226688934111356174114175151340997100078069860429304547204867396226004221255322121778342042760750748443545314933960121997777713500989031441261802620099606127052603478707565992636227007815870756523019206451536259995829345093348118442209609393940797495379146637431528310637028643530545527069367859086349307475046841016256410635560363099150085538746090489434493437180137572521604802636512908299847989890706469841343755384019090321160753823021585085203743871774973271333011339312303082430020896320184635255793833582354635189611436643423251835231860802749464977114678252655012545447829387415142178744795212603982966533374303518741435458504021212931967593695217705051672085403121433953836057629381886300257651459243794360995601317390878849997230406329569720608240021499447930808546005663626830755688436794326125441926180324110428908934312516162285142766654008173165136418017376622027505270393269682872882971193814967057674503108778968329870347942817035622815360916081613415621395118797510972436288029220047189549483604227296589553882574442621602624239710600229265377744246394965731694266503227086645065297482497565536215027283559185688854599247987000368345932018345500616878625612259968136974679213936080491054563738650315271119883418614498696207992366737703439586089775159281740649499648057758156360019482772630073472694594305321922880136458088605575378083147988454399100913830576825734684667509232234354334391134925320495550071407106543502574304548916150216055492908302187363914082161159183274142698960119722187695467307441181850407778519817398222753733319809125837032407765246436496403892596257077566704390633865439714140647757705752970624613400981822700983643905754194222502873604697061376872693 Errors (if any) and Timing Info: Timing: real 0m10.980s user 0m9.660s sys 0m0.290s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Thu Apr 8 02:36:13 2004 Input: 6*bernfrac(3554) Output: 19477008604797895287739650292678174967471069214761836786361132201893365554705747725625939354037917967331269823711157360837047996750815645044321276903324244690136376925712906427878590923658286398934149872003217703071682406405149171365826708867567365195583574389969324761156760786305785900885655616624153698778784554575217307374097329454546835870434704867567172620982352802062133159952219252887495877437540634819226174358891378021055898566298507071686493752948637544355872882889695230182087325784335840192340525828366278892829856059125580717480741037207836693774586815299850033388182661065770699244311255788615612697131487168496866056487220145635842422153109829110024772805767412445505174179587705459547819416079825647419592822541412364726806938006341686436328835523355234131789012042652621518564240546084823593744424260806558146731275531359500160882100145913060718327802545524122951885420667859143533219487933169263369581981401427225173303472696906583778180007760853401783097375514932457676475093913510922908261744330619905900430952418422979824179276287842183229318196310886478242665053787450908053021383827268266620016822948171599718284869462893908503677527973208218587276862675225318630650606149361436850521962987264163607212453088974410422159493798563934057051724649737055083759096635309895362497679386057130538496398315745414311221299452555127122152443052085055300612892675039402675323968709276267273649316966018623847182460673817195742957857529998137300832346104737968437393985150409380163854494511356381293634600759934696954019754401970152574701137104885273668854180246210087423143788203239515376232308997456902551396517092066767243690897872191252343746003391561866390233254134826812544234718595080649230398985555630842875754406707068987307450748489174072412633713213472285927331957359339390918994842223305056766822223693169599545278194257494267340407394638475609392787907486402329833502546126940844004857865558309206726630027824370688977541945619222420924390478275441323929337728451433220332284056752705022892350819513729035570270095764992439413238607533236912416141832333847122258814545248964969886508283433706592236328339720362669811518680309250295927468727575116382563151396474994493900407024491115235866556775394673489989342231836578201565185344932588114172651505376728504090633117532224692543488738034118142005424082208324312527188333127833050579100771914908455990067871516399490357669482298887672540766130996578412578997844836628496110599130582760233936264852142743695258156642314600248710112913435043254238697100129557123094975046645453442328412278879014772576154187438082259777889062927716403926246936674428144988099557274676522349935271259112557222571079361975413930120897122464524721523400725446662167934851193839413659197574261930974847335352167279002138590105449635284055151136445929593227881429419676044799178341847248103524401509878729893088589905991623955861570254710087218940678732684148857165313573848287680428397289881456955028139327472006270562284890453873953472678478147151969039400634742308036716910522990706030647678813180464870604543432517954826695959284270982782805801667863511936287508637384580869377584605826604954902604970942314735225775661651238001310921121314444985066757518861154974260776353259074759034471389138679715598723350051981543242377216507480753276904136354515943581572483882436460889101036259909597117968560199667821268182699412601242485480847001485469592579117945389988001929982552953813868005064565555347548042440683261507366743312648457909424241756915569290182869469625746247952988574816377882796937442809106528317181653066212089746770265764934023726552933320170677819080437965772933637282523838800643130284932550375403903677464465088695375100026020763650392543597928114418316371411212199054959350968768143717700616163560599972582371919915912111049972375558789762221790261197422931635267447081805268860466191021213191879187465191284804868958315161983153614286568161405992199424081054470861841349095551573238446725401930025696278083624624487891317221835577404532523609575356664838670865601518393143509584745058178804667511446218808914619526140120521986839703601549044013804683380279626539582256572988410538555967616952646476683781306960441961300672596212104936630398615659830615923691520757774082017589563951643902380085404985614773603845011193757027094152696134492198416326611891031343972169973381102665071532672018277357457682592929510581219883945662484102454603477138796645324594065426097162601896093105759382160124637111570888486796364917485309758482465367844581580837324896503561494326165116386401791368880042542919231113463315811480858211346836737910646389494332724142170460344150830894992286386528255676307962457312203494055368994737782297879097708465596669289691314239273908759021456760568508413796289797738218854839093427555737561678238513815783802167383033068923621722227394903530617152740260634514131831202713442459519756948377776186544799042706327398693105354732239891076838875171430461415236513719775019929905988527249473552157791482508341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Errors (if any) and Timing Info: Timing: real 0m11.535s user 0m10.740s sys 0m0.430s ************** PARI ***************** Host pxy-1b.kyoto-u.ac.jp. (130.54.130.68) Time: Thu Apr 8 02:45:53 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host sjcd-webcache-3.cisco.com. (128.107.253.39) Time: Thu Apr 8 03:33:24 2004 Input: 6*bernfrac(3554)/(1777*5861) Output: 18700925794599744280041223528608001488114753383761739716642388088919627681799378075313837684291140907031725331952719103843282909011702687042849150031751564297269002502557520110546926632488023183236778533880727669025427857929434997788119102547573816099595203330321962417422454165186783924071851020815612043650885885589037910787777787602384173390001653257861881881466075124229160277196641778089322423652681450430783776854560186643410361583684092344612767294074724692053077771303914182771331883997984675552321835357577423107111654529641804714375569226959774154303248301751647200079061627253249040056671409303925495799116876527661857278007108543224585107564706767663999108982717337744317328348330494439458618582491983096509382405526772945519626110316058359341177760803344671277187129331532809388772978567430046877348523730546017580928036303188085566306068207137323916970693842277749049649674088105011968049043060856631422536157621002891477840533892526885776520154312913774034785968267616839137327734144821091074977500551003428902025562194999172658599206785985807993337104476253308803319918178997946953821862672901650014893737317611901105957946471702208367105173408315161864450717244782037508652768838398548603059571680399104874646102239851255283279960424917965945695159249433346052580808842585259854129270883186169461687217303802789680324727364352699402748213035572698965360136613615349745491015224753561881630227033208577829818348170256021910479530171730378127648376763563127706512047147406168397220368389310511845211862048481336052252107611716213240100920917101823139127337479031522930965595288447529438781700078700841249782901610117379048396171282806180687086134918293175111076128139861022085973446363048063509186786665066579352595499266172604089517019053557166087166144371882474788357555320793074562570533840101016607899381721540197798691823202151923174252853494317482177659683902359578052209276802423317073310597745068199949198283805910543207589925968507164163744337396776325455818881610271438707360219837514137442719205309160468860692034539224965127919487190670254073181041083206382353076573376799791576040092410690653330316215857155474755795590060419888673485674143848896512549544157328604031673772437107025442788678090520323711415597946478718683438262087438060877647401508352334706033153473039591411777399488562639053495725642863183280022388031252481953764145985743880665609285836951744064515316037909250037005417281040419482595957383980519735722564857925771784922119653749007568755557312786790730821058743505403063195409590187230101914620470321251488034301766015652790062433467894671287844886491773741198626304620566040478071724144209088442306100769028120913113157269248770719877208915628612011624583977745420539184842006041301460958245366687071390741017176749068807787563884689821855110602956419088001543763689683294963194268656292559205155325420381679503690597310420690338720457346350862070031064516052051829984755490844289660762542592625763625413744691435120492386978559738378679013040663527765816351780746848066031042085744917670785386508685950529418821179226412476831207233445177932173961901154183660626602808800214603400831134014349648783004902394417142151625834987026881823317972453035737856436750640595455054645098082193167251484939591129709973726684752747929972881621096463833140714429734848645257960692530623351009223561235696560563549428002396756588775493082332373677573644045682845220770700121555472365407289654479798571238248619327828465089755362638613690184752476124486088898303970293308949459581818166868365865659698584534202878256046647472214520708038813731532299304325228344978450721896675224984779580796588739907733553681101053730773933540619746605474264145336475253041384477368212772930801543307615274753714487098800853568146748523996406927590627822526096139941198170398944879557390933249641637209494561478640145020763621217423745960772925034811999912425596286651794825444484673028985575474871468709423613904517554677499278733900008273382509788553656115391703544886178380293182587959009996459504843510601751364500170660772643126776760645062756630123099227887074308461270341207817634130426580068918582866879007780398070756034217329641062418887539263509899529457802015018028902180293414035931662447747815888657020984042608958590735985467784945195284247911711932173394955137315060342980544778071867257006306416933170667234355518935887866959556759697057697273392887757163908876461975075417307827490297544324394971430233885426847547921290214639643810854262260936605516945886119562475596841597344272722618063647604981860450959694373211407434915768981240333975435433616407389600627573786767667330420473613358179886322416506689619196748933942379400068297862682106743760692184834886748127210787165171234628525840102266972767021026034298230032901342380468126004671490291895118393710354197703722221939256366201279008908887377132372424361365168066617016513247636576138186480299693360256409777484716215573902452626622049760432164724062249116839610971582545732839411523088822932730064644609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Errors (if any) and Timing Info: Timing: real 0m11.452s user 0m9.990s sys 0m0.200s ************** PARI ***************** Host txplano-nat209.nextlink.net. (205.158.160.209) Time: Thu Apr 8 08:46:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host txplano-nat209.nextlink.net. (205.158.160.209) Time: Thu Apr 8 08:47:07 2004 Input: 5*6 Output: 30 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host vv822.math.wisc.edu. (144.92.166.218) Time: Thu Apr 8 12:43:02 2004 Input: quadclassunit(quaddisc(-163)) Output: [1, [], [], 1, 1.000493297990628466] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host vv822.math.wisc.edu. (144.92.166.218) Time: Thu Apr 8 12:43:18 2004 Input: quadclassunit(quaddisc(-1111926)) Output: [864, [24, 6, 6], [Qfb(10, 4, 111193), Qfb(755, -454, 1541), Qfb(190, -176, 5893)], 1, 0.9994947790567306503] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host vv822.math.wisc.edu. (144.92.166.218) Time: Thu Apr 8 12:43:50 2004 Input: quadclassunit(quaddisc(-100000000000000000001)) Output: [14849576832, [1856197104, 2, 2, 2], [Qfb(3633532059, 1219979180, 27623834239), Qfb(229655977, 0, 435433909913), Qfb(10001, 0, 9999000099990001), Qfb(137, 0, 729927007299270073)], 1, 0.9959800927135679830] Errors (if any) and Timing Info: Timing: real 0m0.491s user 0m0.470s sys 0m0.020s ************** PARI ***************** Host vv822.math.wisc.edu. (144.92.166.218) Time: Thu Apr 8 12:44:08 2004 Input: quadclassunit(quaddisc(-10000000000000000000000001)) Output: [2990443065024, [186902691564, 2, 2, 2, 2], [Qfb(3, 2, 3333333333333333333333334), Qfb(45918641, 0, 217776479926746961), Qfb(9091, 0, 1099989000109998900011), Qfb(505105051, 0, 19797861811522451), Qfb(13945811, 0, 717061202105779291)], 1, 1.005863642110287006] Errors (if any) and Timing Info: Timing: real 0m10.248s user 0m10.120s sys 0m0.090s ************** PARI ***************** Host vv822.math.wisc.edu. (144.92.166.218) Time: Thu Apr 8 12:44:35 2004 Input: galois(x^6+2) Output: Errors (if any) and Timing Info: *** obsolete function: galois(x^6+2) ^------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: galois(x) ===> polgalois(x) polgalois(x): Galois group of the polynomial x (see manual for group coding). Timing: real 0m0.071s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host vv822.math.wisc.edu. (144.92.166.218) Time: Thu Apr 8 12:44:44 2004 Input: polgalois(x^6+2) Output: [12, -1, 1] Errors (if any) and Timing Info: Timing: real 0m0.114s user 0m0.090s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Thu Apr 8 16:35:33 2004 Input: (x-1)^9-(x^9-1) Output: -9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:41:23 2004 Input: isprime(2^127-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.193s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:41:42 2004 Input: isprime(2^125-1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:46:06 2004 Input: isprime(2^521-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.136s user 0m0.090s sys 0m0.050s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:46:35 2004 Input: isprime(2^1279-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.697s user 0m0.670s sys 0m0.020s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:46:54 2004 Input: isprime(2^1281-1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.118s user 0m0.090s sys 0m0.030s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:47:38 2004 Input: isprime(2^4423-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m20.605s user 0m20.400s sys 0m0.160s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:48:32 2004 Input: isprime(2^2281-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m3.250s user 0m3.200s sys 0m0.050s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:49:10 2004 Input: isprime(2^3217-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m8.489s user 0m8.450s sys 0m0.040s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:49:26 2004 Input: isprime(2^3219-1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.904s user 0m0.900s sys 0m0.010s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:50:20 2004 Input: isprime(2^4423-1) Output: 1 Errors (if any) and Timing Info: Timing: real 0m20.681s user 0m20.430s sys 0m0.110s ************** PARI ***************** Host 0-1pool84-170.nas31.thornton1.co.us.da.qwest.net. (67.4.84.170) Time: Thu Apr 8 19:51:09 2004 Input: isprime(2^9941-1) Output: Errors (if any) and Timing Info: Timing: real 0m21.043s user 0m20.900s sys 0m0.110s ************** PARI ***************** Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160) Time: Fri Apr 9 10:19:24 2004 Input: (x-1)^121-(x^121-1) Output: -121*x^120 + 7260*x^119 - 287980*x^118 + 8495410*x^117 - 198792594*x^116 + 3843323484*x^115 - 63140314380*x^114 + 899749479915*x^113 - 11296854581155*x^112 + 126524771308936*x^111 - 1276749965026536*x^110 + 11703541346076580*x^109 - 98129692824795940*x^108 + 757000487505568680*x^107 - 5399936810873056584*x^106 + 35774581372033999869*x^105 - 220960649650798234485*x^104 + 1276661531315723132580*x^103 - 6920849353974709613460*x^102 + 35296331705271019028646*x^101 - 169758547725351091518726*x^100 + 771629762387959506903300*x^99 - 3321362890278608312322900*x^98 + 13562231801970983941985175*x^97 - 52621459391647417694902479*x^96 + 194294619292236619181178384*x^95 - 683629216028239956378220240*x^94 + 2295040939523376996412596520*x^93 - 7359958875023243471254188840*x^92 + 22570540550071279978512845776*x^91 - 66255457743757628324021579536*x^90 + 186343474904318329661310692445*x^89 - 502562705044979737571413685685*x^88 + 1300750530704653438420129539420*x^87 - 3233294176322995689787179140844*x^86 + 7723980532327156370047150169794*x^85 - 17744279601292115985243453092770*x^84 + 39224197013382572177906580520860*x^83 - 83477137233609063865801184185420*x^82 + 171128131328898580924892427580111*x^81 - 338082405796116708656494795950951*x^80 + 643966487230698492679037706573240*x^79 - 1183101220726166998177766949285720*x^78 + 2097315800378205133133314137370140*x^77 - 3588740369536039894472559746166684*x^76 + 5929223219233457216954663928449304*x^75 - 9461526413670410452587229673057400*x^74 + 14586519887741882781071979079296825*x^73 - 21730937791941988633025601485483025*x^72 + 31292550420396463631556866139095556*x^71 - 43564138820551939565500735213250676*x^70 + 58644033027666072492020220479375910*x^69 - 76347892054886018904705570058055430*x^68 + 96141789995041653435555162295329060*x^67 - 117118180539414377821494470432491764*x^66 + 138032141350024088146761340152579579*x^65 - 157405073469325714553324335261713555*x^64 + 173688356931669753989875128564649440*x^63 - 185463838757545669514612425416490080*x^62 + 191645966716130525165099506263706416*x^61 - 191645966716130525165099506263706416*x^60 + 185463838757545669514612425416490080*x^59 - 173688356931669753989875128564649440*x^58 + 157405073469325714553324335261713555*x^57 - 138032141350024088146761340152579579*x^56 + 117118180539414377821494470432491764*x^55 - 96141789995041653435555162295329060*x^54 + 76347892054886018904705570058055430*x^53 - 58644033027666072492020220479375910*x^52 + 43564138820551939565500735213250676*x^51 - 31292550420396463631556866139095556*x^50 + 21730937791941988633025601485483025*x^49 - 14586519887741882781071979079296825*x^48 + 9461526413670410452587229673057400*x^47 - 5929223219233457216954663928449304*x^46 + 3588740369536039894472559746166684*x^45 - 2097315800378205133133314137370140*x^44 + 1183101220726166998177766949285720*x^43 - 643966487230698492679037706573240*x^42 + 338082405796116708656494795950951*x^41 - 171128131328898580924892427580111*x^40 + 83477137233609063865801184185420*x^39 - 39224197013382572177906580520860*x^38 + 17744279601292115985243453092770*x^37 - 7723980532327156370047150169794*x^36 + 3233294176322995689787179140844*x^35 - 1300750530704653438420129539420*x^34 + 502562705044979737571413685685*x^33 - 186343474904318329661310692445*x^32 + 66255457743757628324021579536*x^31 - 22570540550071279978512845776*x^30 + 7359958875023243471254188840*x^29 - 2295040939523376996412596520*x^28 + 683629216028239956378220240*x^27 - 194294619292236619181178384*x^26 + 52621459391647417694902479*x^25 - 13562231801970983941985175*x^24 + 3321362890278608312322900*x^23 - 771629762387959506903300*x^22 + 169758547725351091518726*x^21 - 35296331705271019028646*x^20 + 6920849353974709613460*x^19 - 1276661531315723132580*x^18 + 220960649650798234485*x^17 - 35774581372033999869*x^16 + 5399936810873056584*x^15 - 757000487505568680*x^14 + 98129692824795940*x^13 - 11703541346076580*x^12 + 1276749965026536*x^11 - 126524771308936*x^10 + 11296854581155*x^9 - 899749479915*x^8 + 63140314380*x^7 - 3843323484*x^6 + 198792594*x^5 - 8495410*x^4 + 287980*x^3 - 7260*x^2 + 121*x Errors (if any) and Timing Info: Timing: real 0m0.274s user 0m0.060s sys 0m0.040s ************** PARI ***************** Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160) Time: Fri Apr 9 10:19:38 2004 Input: Mod[ (x-1)^121-(x^121-1) , x^3-1 ] Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: Mod[(x-1)^121-(x^121-1) ^-------------------- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160) Time: Fri Apr 9 10:19:50 2004 Input: Mod( (x-1)^121-(x^121-1) , x^3-1 ) Output: Mod(42391158275216203514294433200*x - 42391158275216203514294433200, x^3 - 1) Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160) Time: Fri Apr 9 10:20:33 2004 Input: mod( 42391158275216203514294433200 , 3 ) Output: Errors (if any) and Timing Info: *** obsolete function: mod(4239115827521620 ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: mod(x,y) ===> Mod(x,y) Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 0: default, creates on the Pari stack, or 1: creates a permanent object on the heap. Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160) Time: Fri Apr 9 10:20:43 2004 Input: Mod( 42391158275216203514294433200 , 3 ) Output: Mod(2, 3) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host CPE0030ab039e6d-CM400035833300.cpe.net.cable.rogers.com. (24.103.14.160) Time: Fri Apr 9 10:21:03 2004 Input: Mod( 42391158275216203514294433200, 3 ) Output: Mod(2, 3) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host carens.lip6.fr. (132.227.66.11) Time: Fri Apr 9 11:11:33 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (202.113.25.81) Time: Sat Apr 10 22:39:38 2004 Input: SetVerbose("Factorization", true); SetVerbose("MPQS", true); n := 1745264755423825474573924809951949066708882319246693921995410289; time Factorization(n); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: SetVerbose("Factoriz ^-------------------- *** unknown function or error in formal parameters: SetVerbose("MPQS",tr ^-------------------- *** unexpected character: n:=1745264755423825474 ^-------------------- *** expected character: '=' instead of: timeFactorization(n); ^- Timing: real 0m0.083s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (193.194.89.11) Time: Sun Apr 11 07:51:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.266s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:02:54 2004 Input: bin(256) Output: Errors (if any) and Timing Info: *** obsolete function: bin(256) ^-------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: bin(x,y) ===> binomial(x,y) binomial(x,y): binomial coefficient x*(x-1)...*(x-y+1)/y! defined for y in Z and any x. Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:03:44 2004 Input: binary(256) Output: [1, 0, 0, 0, 0, 0, 0, 0, 0] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:05:36 2004 Input: binary(200) Output: [1, 1, 0, 0, 1, 0, 0, 0] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:06:10 2004 Input: binary(201) Output: [1, 1, 0, 0, 1, 0, 0, 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:06:14 2004 Input: binary(201) Output: [1, 1, 0, 0, 1, 0, 0, 1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:07:02 2004 Input: gcd(12,234) Output: 6 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:08:26 2004 Input: binary(259) Output: [1, 0, 0, 0, 0, 0, 0, 1, 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:09:13 2004 Input: bezout(12,234) Output: [-19, 1, 6] Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:10:12 2004 Input: Mod(34^{1265},333) Output: Errors (if any) and Timing Info: *** unexpected character: Mod(34^{1265},333) ^----------- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:10:29 2004 Input: Mod(34^1265,333) Output: Mod(238, 333) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:11:33 2004 Input: factor(891106666666677777777777700) Output: [2 2] [5 2] [107 1] [7103 1] [13297 1] [881760077127421 1] Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.070s sys 0m0.010s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:12:52 2004 Input: isprime(891106666666677777777777700) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host host149-178.pool8249.interbusiness.it. (82.49.178.149) Time: Sun Apr 11 08:13:19 2004 Input: nextprime(891106666666677777777777700) Output: 891106666666677777777777761 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host vandoeuvre-1-82-66-255-179.fbx.proxad.net. (82.66.255.179) Time: Sun Apr 11 14:11:27 2004 Input: { n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); break; ); x++; ); } Output: 115792089237316195423570985008687907853967654948918380471826999309523310687923 115792089237316195423570985008687907853627372581997442008345177958017832924793 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gounod-1-82-66-202-38.fbx.proxad.net. (82.66.202.38) Time: Sun Apr 11 14:14:34 2004 Input: { n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); break; ); x++; ); } Output: 115792089237316195423570985008687907853967654948918380471826999309523310687923 115792089237316195423570985008687907853627372581997442008345177958017832924793 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (202.185.74.31) Time: Sun Apr 11 20:03:20 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.273s user 0m0.060s sys 0m0.050s ************** PARI ***************** Host 3(NXDOMAIN) (202.185.74.31) Time: Sun Apr 11 20:03:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.050s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host58-225.pool80181.interbusiness.it. (80.181.225.58) Time: Sun Apr 11 21:58:33 2004 Input: binary(44573) Output: [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1] Errors (if any) and Timing Info: Timing: real 0m0.050s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (163.152.39.238) Time: Mon Apr 12 00:50:49 2004 Input: nfinit(x^2+x+1) Output: [x^2 + x + 1, [0, 1], -3, 1, [Mat([1, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; -1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, -1.000000000000000000000000000; -1.000000000000000000000000000, 2.000000000000000000000000000], [2, -1; -1, -1], [3, 2; 0, 1], [-1, 1; 1, 2], [3, [2, 1]~]], [-0.5000000000000000000000000000 + 0.8660254037844386467637231707*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, -1]] Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host dsl-roigw2fe4.dial.inet.fi. (80.223.133.228) Time: Mon Apr 12 04:02:00 2004 Input: (a+b)^2 Output: a^2 + 2*b*a + b^2 Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:10:20 2004 Input: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939 Output: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:11:40 2004 Input: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939 Output: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939 Errors (if any) and Timing Info: Timing: real 0m0.050s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:19:32 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.051s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:21:55 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:25:14 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:28:45 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); print(sqrtint(x)); print(sqrtint(y)); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I 340282366920938463463374607431768211456 Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** not an integer argument in an arithmetic function *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:29:58 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); z=sqrtint(x); y=sqrtint(y) print(z*y); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I -315560429194008430208537634051680766568311746863385581504671883970357926673912954880*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** not an integer argument in an arithmetic function *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.052s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:30:44 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); print(x+y); print(x-y); z=sqrtint(x); y=sqrtint(y); print(z-y); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I 340282366920938463463374607431768211456 + 927348754651533406244978598662624049081876480*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** not an integer argument in an arithmetic function *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:34:36 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); az=x+y; bz=x-y; print(az); print(bz); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:36:55 2004 Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480 Output: 115792089237316195423570985008686980505042862232051666261487426009721489929877 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:37:24 2004 Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480 Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 927348754651533406244978598662624049081876480 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:37:38 2004 Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480 Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 927348754651533406244978598662624049081876480 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:38:05 2004 Input: n=13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939; rc=sqrtint(n); x=rc; for(i=0,10^10, yc=x*x-n; if(issquare(yc), y=sqrtint(yc); az=x+y; bz=x-y; print(az); print(bz); break; ); x++; ); Output: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480*I 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480*I Errors (if any) and Timing Info: *** expected character: ')' instead of: for(i=0,10^10, ^ *** expected character: ',' instead of: if(issquare(yc), ^ *** unused characters: ); ^-- *** unused characters: ); ^-- Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:38:43 2004 Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 - 927348754651533406244978598662624049081876480 Output: 115792089237316195423570985008686980505042862232051666261487426009721489929877 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ACB134B9.ipt.aol.com. (172.177.52.185) Time: Mon Apr 12 13:39:11 2004 Input: 115792089237316195423570985008687907853797513765457911240086088633770571806357 + 927348754651533406244978598662624049081876480 Output: 115792089237316195423570985008688835202552165298864156218684751257819653682837 Errors (if any) and Timing Info: Timing: real 0m0.050s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:01:29 2004 Input: (x^9-1(-(x-1)^9 Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (x^9-1(-(x-1)^9 ^--------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:01:41 2004 Input: (x^9-1)-(x-1)^9 Output: 9*x^8 - 36*x^7 + 84*x^6 - 126*x^5 + 126*x^4 - 84*x^3 + 36*x^2 - 9*x Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:02:51 2004 Input: (x-1)^9 Output: x^9 - 9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x - 1 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:03:40 2004 Input: Mod( (x^9-1)-(x-1)^9 , x^3-1 ) Output: Mod(-81*x^2 + 81*x, x^3 - 1) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:13:25 2004 Input: Mod( (x^703-1)-(x-1)^703 , x^3-1 ) Output: Mod(294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112748*x - 294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112748, x^3 - 1) Errors (if any) and Timing Info: Timing: real 0m0.121s user 0m0.100s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:14:33 2004 Input: Mod( 294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112748 , 703 ) Output: Mod(0, 703) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ACB3DD8B.ipt.aol.com. (172.179.221.139) Time: Mon Apr 12 14:19:04 2004 Input: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939 Output: 13407807929942597099574024998205846127601533213795056077209462877025034368196627761240552786569937831201077590982462638461210895540034428529412103952374939 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host dsc01-aui-tx-206-217-99-107.rasserver.net. (206.217.99.107) Time: Mon Apr 12 14:27:12 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (209.202.87.27) Time: Mon Apr 12 14:29:19 2004 Input: Mod( (x^9-1)-(x-1)^9 , x^3-1 ) Output: Mod(-81*x^2 + 81*x, x^3 - 1) Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:40:36 2004 Input: D = -59 qfbclassno(D,1) Output: -59 3 Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:41:14 2004 Input: D = -59 qfbclassno(D,1) ? reducedforms(D) Output: -59 3 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:41:27 2004 Input: D = -59 qfbclassno(D,1) ?reducedforms(D) Output: -59 3 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:41:42 2004 Input: D = -59 qfbclassno(D,1) ? reducedforms(D) Output: -59 3 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:41:56 2004 Input: D = -59 qfbclassno(D) ? reducedforms(D) Output: -59 3 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:42:00 2004 Input: D = -59 qfbclassno(D) ? reducedforms(D) Output: -59 3 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:44:13 2004 Input: ? D = -419 ? reducedforms(D) Output: Errors (if any) and Timing Info: *** D=-419: unknown identifier. *** reducedforms(D): unknown identifier. Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:44:24 2004 Input: D = -419 ? reducedforms(D) Output: -419 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:44:31 2004 Input: D = -59 ? reducedforms(D) Output: -59 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:44:39 2004 Input: D = -59 ? reducedforms(D) Output: -59 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:44:40 2004 Input: D = -59 ? reducedforms(D) Output: -59 Errors (if any) and Timing Info: *** reducedforms(D): unknown identifier. Timing: real 0m0.053s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:45:31 2004 Input: ? D=-31 ?qbfclassno(D) Output: Errors (if any) and Timing Info: *** D=-31: unknown identifier. *** qbfclassno(D): unknown identifier. Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:45:42 2004 Input: ? D=-31 Output: Errors (if any) and Timing Info: *** D=-31: unknown identifier. Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:46:02 2004 Input: ? D = -419 %21 = -419 ? qfbclassno(D,1) %22 = 9 ? reducedforms(D) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:46:16 2004 Input: ? D = -59 ? qfbclassno(D,1) ? reducedforms(D) Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method by default. If (optional) flag is set to 1, use Euler products. Errors (if any) and Timing Info: *** D=-59: unknown identifier. *** reducedforms(D): unknown identifier. Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:46:55 2004 Input: ? D = -59 ? qfbclassno(D) ? reducedforms(D) Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method by default. If (optional) flag is set to 1, use Euler products. Errors (if any) and Timing Info: *** D=-59: unknown identifier. *** reducedforms(D): unknown identifier. Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:46:56 2004 Input: ? D = -59 ? qfbclassno(D) ? reducedforms(D) Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method by default. If (optional) flag is set to 1, use Euler products. Errors (if any) and Timing Info: *** D=-59: unknown identifier. *** reducedforms(D): unknown identifier. Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:46:57 2004 Input: ? D = -59 ? qfbclassno(D) ? reducedforms(D) Output: qfbclassno(x,{flag=0}): class number of discriminant x using Shanks's method by default. If (optional) flag is set to 1, use Euler products. Errors (if any) and Timing Info: *** D=-59: unknown identifier. *** reducedforms(D): unknown identifier. Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:48:39 2004 Input: ? D = -59 Output: Errors (if any) and Timing Info: *** D=-59: unknown identifier. Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:50:06 2004 Input: qfbclassno(-59) Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:50:33 2004 Input: qfbclassno(-59) reducedforms(-59) Output: 3 Errors (if any) and Timing Info: *** unknown function or error in formal parameters: reducedforms(-59) ^----------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Mon Apr 12 18:50:46 2004 Input: qfbclassno(-59) reducedforms(D) Output: 3 Errors (if any) and Timing Info: *** expected character: '=' instead of: reducedforms(D) ^ Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (203.130.237.66) Time: Tue Apr 13 01:06:31 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (203.130.237.66) Time: Tue Apr 13 01:07:36 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pool-141-150-214-171.delv.east.verizon.net. (141.150.214.171) Time: Tue Apr 13 04:24:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.088s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:36:23 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:40:28 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:40:36 2004 Input: factor(omitted) Output: [3 1] [599 1] [316847 1] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host beta.wwwcache.cam.ac.uk. (131.111.8.97) Time: Thu Apr 22 21:43:39 2004 Input: 9+0 Output: 9 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.010s ************** PARI ***************** Host beta.wwwcache.cam.ac.uk. (131.111.8.97) Time: Thu Apr 22 21:43:44 2004 Input: 9+9 Output: 18 Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:43:51 2004 Input: factor(omitted) Output: [3 1] [599 1] [316847 1] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:45:53 2004 Input: factor(omitted) Output: [3 1] [599 1] [316847 1] Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:51:28 2004 Input: factor(omitted) Output: [3 1] [599 1] [316847 1] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 21:51:30 2004 Input: factor(omitted) Output: [3 1] [599 1] [316847 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s a ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 22:44:42 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info:chroot: cannot change root directory to /var/www/cgi-bin/sandbox: Operation not permitted Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 22:45:07 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 22:45:08 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 22:53:26 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.000s Referer: http://modular.fas.harvard.edu/cgi-bin/calc/calc.py ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 22:54:08 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.020s Referer: http://modular.fas.harvard.edu/calc/ ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Apr 22 22:55:42 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.050s sys 0m0.010s Referer: http://modular.fas.harvard.edu/cgi-bin/calc/calc.py