************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Thu Nov 27 13:45:41 2003 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (81.5.166.223) Time: Thu Nov 27 13:59:54 2003 Input: ?thue Output: thue(tnf,a,{sol}): solve the equation P(x,y)=a, where tnf was created with thueinit(P), and sol, if present, contains the solutions of Norm(x)=a modulo units in the number field defined by P. If tnf was computed without assuming GRH (flag 1 in thueinit), the result is unconditional. Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host U149.N100.QueensU.CA. (130.15.100.149) Time: Thu Nov 27 16:43:37 2003 Input: quad(n,N)= { tnf=thueinit(x^2 + N); v=thue(tnf, n); s=length(thue(tnf, n)); } est(m,N)= { f=factorint(2*N)[,1]~; k=sum(j=1, m,(quad(j,N))^2); l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m) ); print(v); print(s); print(f); print(k); print(l); } Output: Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host U149.N100.QueensU.CA. (130.15.100.149) Time: Thu Nov 27 16:43:56 2003 Input: quad(n,N)= { tnf=thueinit(x^2 + N); v=thue(tnf, n); s=length(thue(tnf, n)); } est(m,N)= { f=factorint(2*N)[,1]~; k=sum(j=1, m,(quad(j,N))^2); l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m) ); print(v); print(s); print(f); print(k); print(l); } est(100,7); Output: Errors (if any) and Timing Info: *** invalid polynomial in thue (need deg>2). Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host U149.N100.QueensU.CA. (130.15.100.149) Time: Thu Nov 27 16:44:25 2003 Input: quad(n,N)= { tnf=thueinit(x^2 + N); v=thue(tnf, n); s=length(thue(tnf, n)); } est(m,N)= { f=factorint(2*N)[,1]~; k=sum(j=1, m,(quad(j,N))^2); l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m) ); print(v); print(s); print(f); print(k); print(l); } est(10,7) Output: Errors (if any) and Timing Info: *** invalid polynomial in thue (need deg>2). Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host t2.fujitsu.co.jp. (164.71.1.147) Time: Thu Nov 27 20:48:02 2003 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host t5.fujitsu.co.jp. (164.71.1.150) Time: Thu Nov 27 20:48:32 2003 Input: "100!" Output: "100!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4) Time: Thu Nov 27 21:41:41 2003 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4) Time: Thu Nov 27 21:41:55 2003 Input: for Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: for ^ Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116) Time: Thu Nov 27 22:17:30 2003 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116) Time: Thu Nov 27 22:17:58 2003 Input: 2-3 Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116) Time: Thu Nov 27 22:18:38 2003 Input: sum(k^2,1,3) Output: Errors (if any) and Timing Info: *** expected character: '=' instead of: sum(k^2,1,3) ^------- Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116) Time: Thu Nov 27 22:19:00 2003 Input: ?sum Output: sum(X=a,b,expr,{x=0}): x plus the sum (X goes from a to b) of expression expr. Errors (if any) and Timing Info: Timing: real 0m0.080s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pmactaka1.mss.hirosaki-u.ac.jp. (133.60.101.116) Time: Thu Nov 27 22:19:34 2003 Input: sum(k=1,3,k^2) Output: 14 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4) Time: Fri Nov 28 00:01:57 2003 Input: ellj(q) Output: q^-1 + 744 + 196884*q + 21493760*q^2 + 864299970*q^3 + 20245856256*q^4 + 333202640600*q^5 + 4252023300096*q^6 + 44656994071935*q^7 + 401490886656000*q^8 + 3176440229784420*q^9 + 22567393309593600*q^10 + 146211911499519294*q^11 + 874313719685775360*q^12 + 4872010111798142520*q^13 + O(q^14) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Fri Nov 28 06:49:41 2003 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Fri Nov 28 06:49:47 2003 Input: 1+1; Output: Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Fri Nov 28 06:49:50 2003 Input: 1+1; Output: Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Fri Nov 28 06:49:54 2003 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Fri Nov 28 06:53:21 2003 Input: ] IsUninstall(): Reading Property: REMOVE = [1,7-29-2003,06:22:25] Determined SRCDIR using SourceDir property. [1,7-29-2003,06:22:25] InitNavInst! We need to load! [1,7-29-2003,06:22:25] UseNavInst() [1,7-29-2003,06:22:25] IsUninstall(): Reading Property: REMOVE = [1,7-29-2003,06:22:25] IsUninstall(): Reading Property: REMOVE = [1,7-29-2003,06:22:25] Loading C:DOCUME~1SDONNE~1LOCALS~1Temp~SMIEF66SYMANT~1.MSISupportNAVINSNT.DLL [1,7-29-2003,06:22:25] UseNavCust2() [1,7-29-2003,06:22:25] IsUninstall(): Reading Property: REMOVE = [1,7-29-2003,06:22:25] Loading C:DOCUME~1SDONNE~1LOCALS~1Temp~SMIEF66SYMANT~1.MSISupportNAVCUST2.DLL [1,7-29-2003,06:22:25] Calling NAVINSNT.CreateNAVMutex [1,7-29-2003,06:22:25] SetupInstall() [1,7-29-2003,06:22:25] InitSrcDir() [1,7-29-2003,06:22:25] Calling NAVINSNT.GetAppDataDir [1,7-29-2003,06:22:25] g_szCommonAppDataPath = C:Documents and SettingsAll UsersApplication DataSymantecNorton AntiVirus Corporate Edition7.5 [1,7-29-2003,06:22:25] Calling NAVINSNT._RegInitUndoList [1,7-29-2003,06:22:25] Calling NAVINSNT._RegDBSetDefaultRoot [1,7-29-2003,06:22:25] Calling NAVINSNT._RegDBCreateKeyEx Output: WARNING: PARI command contains unsafe command 'read', so it will not be executed. ************** PARI ***************** Host medoc.ens-lyon.fr. (140.77.14.134) Time: Fri Nov 28 11:15:10 2003 Input: a=0; for i from 1 to 5 do a=a+1; print(a) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host medoc.ens-lyon.fr. (140.77.14.134) Time: Fri Nov 28 11:15:42 2003 Input: exp(34) Output: 583461742527454.8814029027346 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host medoc.ens-lyon.fr. (140.77.14.134) Time: Fri Nov 28 11:15:56 2003 Input: p123; exp(34) Output: 583461742527454.8814029027346 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host medoc.ens-lyon.fr. (140.77.14.134) Time: Fri Nov 28 11:16:02 2003 Input: p123; exp(34) Output: 583461742527454.8814029027346 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host medoc.ens-lyon.fr. (140.77.14.134) Time: Fri Nov 28 11:16:13 2003 Input: p=123; exp(34) Output: 583461742527454.8814029027346 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (207.236.197.207) Time: Fri Nov 28 12:33:40 2003 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Fri Nov 28 15:43:25 2003 Input: contfrac((1+sqrt(5))/2) Output: [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Fri Nov 28 15:51:26 2003 Input: contfrac((sqrt(3))) Output: [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Fri Nov 28 16:00:21 2003 Input: contfrac((42+sqrt((42^2)+(4*41*62))/(2*41)) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ...(42^2)+(4*41*62))/(2*41)) ^ Timing: real 0m0.056s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host h-68-165-78-41.MIATFLAD.dynamic.covad.net. (68.165.78.41) Time: Fri Nov 28 18:09:37 2003 Input: sqrt{4} Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: sqrt{4} ^--- Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sat Nov 29 21:16:05 2003 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host AAnnecy-103-1-7-127.w80-15.abo.wanadoo.fr. (80.15.12.127) Time: Sun Nov 30 03:18:11 2003 Input: 123*3456 Output: 425088 Errors (if any) and Timing Info: Timing: real 0m0.331s user 0m0.050s sys 0m0.060s ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:43:46 2003 Input: for (n=1,100,print(prime[n])); Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: for(n=1,100,print(prime[n])); ^------ Timing: real 0m0.127s user 0m0.020s sys 0m0.020s ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:44:33 2003 Input: eulerphi(30); Output: Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:44:58 2003 Input: print(eulerphi(30)); Output: 8 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:45:33 2003 Input: { for (n=1,100,print(n, ",eulerphi(n))); } Output: Errors (if any) and Timing Info: *** expected character: '"' instead of: ...int(n,",eulerphi(n))); } ^ *** Warning: run-away string. Closing it. Timing: real 0m0.069s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:45:52 2003 Input: { for (n=1,100,print(n," ",eulerphi(n))); } Output: 1 1 2 1 3 2 4 2 5 4 6 2 7 6 8 4 9 6 10 4 11 10 12 4 13 12 14 6 15 8 16 8 17 16 18 6 19 18 20 8 21 12 22 10 23 22 24 8 25 20 26 12 27 18 28 12 29 28 30 8 31 30 32 16 33 20 34 16 35 24 36 12 37 36 38 18 39 24 40 16 41 40 42 12 43 42 44 20 45 24 46 22 47 46 48 16 49 42 50 20 51 32 52 24 53 52 54 18 55 40 56 24 57 36 58 28 59 58 60 16 61 60 62 30 63 36 64 32 65 48 66 20 67 66 68 32 69 44 70 24 71 70 72 24 73 72 74 36 75 40 76 36 77 60 78 24 79 78 80 32 81 54 82 40 83 82 84 24 85 64 86 42 87 56 88 40 89 88 90 24 91 72 92 44 93 60 94 46 95 72 96 32 97 96 98 42 99 60 100 40 Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:50:20 2003 Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m = 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q)))) partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24) partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3 partition(n) = { local(prec, oprec, delta, mq, d, t); if ( n == 0 , 1 , oprec = precision(1.0) ; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10 ; if ( n > 200 , delta = 2 , default(realprecision, 20) ; d = 2 ; while(partbla(d) > n, d++) ; delta = solve ( delta = d-1, d, partbla(delta)-n ) ) ; mq = ceil(sqrt(n)/delta) ; default(realprecision, prec) ; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n))) ; default(realprecision, oprec) ; t ) } partition(12345); Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed. ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:53:18 2003 Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m = 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q)))) partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24) partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3 partition(n) = { local(prec, oprec, delta, mq, d, t); if ( n == 0 , 1 , oprec = precision(1.0) ; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10 ; if ( n > 200 , delta = 2 , default(realprecision, 20) ; d = 2 ; while(partbla(d) > n, d++) ; delta = solve ( delta = d-1, d, partbla(delta)-n ) ) ; mq = ceil(sqrt(n)/delta) ; default(realprecision, prec) ; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n))) default(realprecision, oprec) ; t ) } partition(12345); Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed. ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:53:42 2003 Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m = 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q)))) partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24) partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3 partition(n) = { local(prec, oprec, delta, mq, d, t); if ( n == 0 , 1 , oprec = precision(1.0) ; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10 ; if ( n > 200 , delta = 2 , default(realprecision, 20) ; d = 2 ; while(partbla(d) > n, d++) ; delta = solve ( delta = d-1, d, partbla(delta)-n ) ) ; mq = ceil(sqrt(n)/delta) ; default(realprecision, prec) ; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n))) default(realprecision, oprec) ; t ) } partition(12345); Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed. ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:54:01 2003 Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m = 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q)))) partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24) partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3 partition(n) = { local(prec, oprec, delta, mq, d, t); if ( n == 0 , 1 , oprec = precision(1.0) ; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10 ; if ( n > 200 , delta = 2 , default(realprecision, 20) ; d = 2 ; while(partbla(d) > n, d++) ; delta = solve ( delta = d-1, d, partbla(delta)-n ) ) ; mq = ceil(sqrt(n)/delta) ; default(realprecision, prec) ; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n))) ; t ) } partition(12345); Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed. ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:54:17 2003 Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m = 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q)))) partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24) partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3 partition(n) = { local(prec, oprec, delta, mq, d, t); if ( n == 0 , 1 , oprec = precision(1.0) ; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10 ; if ( n > 200 , delta = 2 , default(realprecision, 20) ; d = 2 ; while(partbla(d) > n, d++) ; delta = solve ( delta = d-1, d, partbla(delta)-n ) ) ; mq = ceil(sqrt(n)/delta) ; default(realprecision, prec) ; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n))) ; t ) } partition(12345); Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed. ************** PARI ***************** Host molten-ext.nus.edu.sg. (137.132.3.10) Time: Sun Nov 30 03:54:49 2003 Input: partfac1(q, n) = real(sum(p = 0, q-1, if(gcd(p, q)<1, 0, exp(Pi*I*(sum(m = 1, q-1, m*(m*p/q-floor(m*p/q)-1/2))-2*n*p)/q)))) partfac2(q, n) = local(K, l); K = Pi*sqrt(2/3); l = sqrt(n-1/24); (cosh(K*l/q)*K/q-sinh(K*l/q)/l)*sqrt(q/2)/2/Pi/(n-1/24) partbla(d) = local(K); K = Pi*sqrt(2/3); sqrt(27)*K^6/d^2*(sinh(K*d)/K^3/d^3+1/6)^3 partition(n) = { local(prec, oprec, delta, mq, d, t); if ( n == 0 , 1 , oprec = precision(1.0) ; prec = ceil(log(exp(Pi*sqrt(2*n/3))/4/sqrt(3)/n)/log(10))+10 ; if ( n > 200 , delta = 2 ; d = 2 ; while(partbla(d) > n, d++) ; delta = solve ( delta = d-1, d, partbla(delta)-n ) ) ; mq = ceil(sqrt(n)/delta) ; t = round(sum(q = 1, mq, partfac1(q, n)*partfac2(q, n))) ; t ) } partition(12345); Output: Errors (if any) and Timing Info: *** obsolete function: ...f(gcd(p,q)<1,0,exp(Pi*I*(sum(m ^----- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: sum(x,X=a,b,expr) ===> sum(X=a,b,expr,x) sum(X=a,b,expr,{x=0}): x plus the sum (X goes from a to b) of expression expr. *** unexpected character: =1,q-1,m*(m*p/q-floo ^-------------------- *** roots must be bracketed in solve. Timing: real 0m0.072s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host 0xc2ffa2c6.osd01.dsl.telianet.dk. (194.255.162.198) Time: Sun Nov 30 07:03:14 2003 Input: Omega(100) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Omega(100) ^---------- Timing: real 0m0.102s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host 0xc2ffa2c6.osd01.dsl.telianet.dk. (194.255.162.198) Time: Sun Nov 30 07:03:28 2003 Input: bigomega(100) Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host sv4.ictp.trieste.it. (140.105.16.64) Time: Sun Nov 30 08:40:34 2003 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sv4.ictp.trieste.it. (140.105.16.64) Time: Sun Nov 30 08:41:00 2003 Input: pi Output: pi Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sv4.ictp.trieste.it. (140.105.16.64) Time: Sun Nov 30 08:41:19 2003 Input: 7887*387438473 Output: 3055727236551 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host sv4.ictp.trieste.it. (140.105.16.64) Time: Sun Nov 30 08:41:47 2003 Input: 3816547290/7 Output: 3816547290/7 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host sv4.ictp.trieste.it. (140.105.16.64) Time: Sun Nov 30 08:42:05 2003 Input: 3816547290+iosdujfdopsjfeoj Output: iosdujfdopsjfeoj + 3816547290 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pcrias2.Math.Uni-Augsburg.DE. (137.250.162.34) Time: Sun Nov 30 09:26:52 2003 Input: nfK=bnfinit(x^2-7); nfK[8] Output: [[1, [], []], 2.768659383313573832732001409, 0.9617653698405663631, [2, -1], [3*x - 8], 119] Errors (if any) and Timing Info: Timing: real 0m0.098s user 0m0.070s sys 0m0.030s ************** PARI ***************** Host pcrias2.Math.Uni-Augsburg.DE. (137.250.162.34) Time: Sun Nov 30 09:27:55 2003 Input: nfK=bnfinit(x^2-7); nfK[8] nfK[7][6] Output: [[1, [], []], 2.768659383313573832732001409, 0.9617653698405663631, [2, -1], [3*x - 8], 119] [-2.645751311064590590501615753, 2.645751311064590590501615753] Errors (if any) and Timing Info: Timing: real 0m0.100s user 0m0.080s sys 0m0.020s ************** PARI ***************** Host c-67-160-217-111.client.comcast.net. (67.160.217.111) Time: Sun Nov 30 14:09:19 2003 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-67-160-217-111.client.comcast.net. (67.160.217.111) Time: Sun Nov 30 14:10:03 2003 Input: 2+2+2 Output: 6 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-67-160-217-111.client.comcast.net. (67.160.217.111) Time: Sun Nov 30 14:11:11 2003 Input: 2+2+2 Output: 6 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host cache05.lax.untd.com. (64.136.26.235) Time: Sun Nov 30 19:00:08 2003 Input: 2+6 Output: 8 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cache05.lax.untd.com. (64.136.26.235) Time: Sun Nov 30 19:00:27 2003 Input: 100! Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host www-cache1.usyd.edu.au. (129.78.64.101) Time: Sun Nov 30 20:43:24 2003 Input: r /etc/passwd Output: 1/(passwd*etc)*r Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host www-cache1.usyd.edu.au. (129.78.64.101) Time: Sun Nov 30 20:43:40 2003 Input: r {/etc/passwd} Output: Errors (if any) and Timing Info: *** unused characters: r{/etc/passwd} ^------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host genoa.ucc.usyd.edu.au. (129.78.228.114) Time: Sun Nov 30 20:49:02 2003 Input: !ls Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:01:10 2003 Input: % Output: Errors (if any) and Timing Info: *** I can't remember before the big bang: % ^- Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:04:25 2003 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:09:17 2003 Input: 2+2 Output: Errors (if any) and Timing Info:/bin/sh: line 1: /var/www/cgi-bin/gp: No such file or directory Timing: real 0m0.002s user 0m0.000s sys 0m0.000s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:09:35 2003 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:09:43 2003 Input: e=ellinit([1,2,3,4,5]); e Output: [1, 2, 3, 4, 5, 9, 11, 29, 35, -183, -3429, -10351, 6128487/10351, [-1.618909932267371342378000939, -0.3155450338663143288109995301 - 2.092547096911958607981689446*I, -0.3155450338663143288109995301 + 2.092547096911958607981689446*I]~, 2.780740013766729771063197626, -1.390370006883364885531598813 + 1.068749776356193066159263547*I, -1.554824121162190164275074561 + 5.12356965 E-29*I, 0.7774120605810950821375372806 - 1.727349756386839866714149879*I, 2.971915267817909670771647950] Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:10:50 2003 Input: sys tem('ls') Output: WARNING: PARI command contains unsafe command 'system', so it will not be executed. ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Sun Nov 30 21:10:56 2003 Input: sys%tem('ls') Output: WARNING: PARI command contains unsafe command 'system', so it will not be executed. ************** PARI ***************** Host cache-ntc-ad07.proxy.aol.com. (198.81.26.108) Time: Mon Dec 1 02:46:15 2003 Input: cos Pi Output: cosPi Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host cache-ntc-ad07.proxy.aol.com. (198.81.26.108) Time: Mon Dec 1 02:46:56 2003 Input: cos Pi 3x+9 Output: cosPi Errors (if any) and Timing Info: *** unused characters: 3x+9 ^--- Timing: real 0m0.081s user 0m0.010s sys 0m0.030s ************** PARI ***************** Host 63-245-173-160.kitusa.com. (63.245.173.160) Time: Mon Dec 1 16:37:52 2003 Input: 2^31+3^13 Output: 2149077971 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (202.196.32.3) Time: Mon Dec 1 19:51:02 2003 Input: >L:=Lattice("E",8); >G:=AutomorphismGroup(L); >#G;FactoredOrder(G); >M:=MatrixRing(Rationals(),8); >B:=BasisMatrix(L); >A:=MatrixGroup<8,Rationals()|[B^-1*M!G.i*B:i in[1..Ngens(G)]]>; >A; Output: Errors (if any) and Timing Info: *** unexpected character: >L:=Lattice("E",8); ^------------------- *** unexpected character: >G:=AutomorphismGrou ^-------------------- *** unexpected character: >#G;FactoredOrder(G) ^-------------------- *** unexpected character: >M:=MatrixRing(Ratio ^-------------------- *** unexpected character: >B:=BasisMatrix(L); ^------------------- *** unexpected character: >A:=MatrixGroup<8,Ra ^-------------------- *** unexpected character: >A; ^--- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 211.b.005.syd.iprimus.net.au. (210.50.53.211) Time: Mon Dec 1 20:36:15 2003 Input: quadunit(10209) Output: 129673276731767045001467236819 + 2592439027326436315951883912*w Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:05:16 2003 Input: 3+5 Output: 8 Errors (if any) and Timing Info: Timing: real 0m0.091s user 0m0.030s sys 0m0.060s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:05:42 2003 Input: x**2=-1 Output: Errors (if any) and Timing Info: *** unexpected character: x**2=-1 ^----- Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:05:57 2003 Input: x^2=-1 Output: Errors (if any) and Timing Info: *** unexpected character: x^2=-1 ^--- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:06:10 2003 Input: sin(1) Output: 0.8414709848078965066525023216 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:06:16 2003 Input: asin(1) Output: 1.570796326794896619231321691 Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:06:23 2003 Input: 4*asin(1) Output: 6.283185307179586476925286766 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (202.105.138.50) Time: Tue Dec 2 02:06:30 2003 Input: 2*asin(1) Output: 3.141592653589793238462643383 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 168ext7.cab.uniroma3.it. (193.204.163.2) Time: Tue Dec 2 04:24:10 2003 Input: d=prodeuler(p=2,436270000,1-(2*p)/(p^3-1)) Output: Errors (if any) and Timing Info: *** not enough precalculated primes Timing: real 0m0.092s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host isgpc002.rhul.ac.uk. (134.219.148.41) Time: Tue Dec 2 09:21:26 2003 Input: l := 1 + 2; Output: Errors (if any) and Timing Info: *** unexpected character: l:=1+2; ^----- Timing: real 0m1.126s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host rrcs-nys-24-213-136-229.biz.rr.com. (24.213.136.229) Time: Tue Dec 2 18:09:01 2003 Input: zeta(0.5) Output: -1.460354508809586812889499152 Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host rrcs-nys-24-213-136-229.biz.rr.com. (24.213.136.229) Time: Tue Dec 2 18:09:17 2003 Input: ??zeta Output: zeta(s):  Riemann's zeta function zeta(s) = sum_{n >= 1}n^{-s}, computed using the Euler-Maclaurin summation formula, except when s is of type integer, in which case it is computed using Bernoulli numbers for s <= 0 or s > 0 and even, and using modular forms for s > 0 and odd.  The library syntax is gzeta(s,prec).  Errors (if any) and Timing Info: Timing: real 0m0.425s user 0m0.160s sys 0m0.040s ************** PARI ***************** Host rrcs-nys-24-213-136-229.biz.rr.com. (24.213.136.229) Time: Tue Dec 2 18:09:43 2003 Input: zeta(0.5) Output: -1.460354508809586812889499152 Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:17:15 2003 Input: factor(x^2+2*x+1) Output: [x + 1 2] Errors (if any) and Timing Info: Timing: real 0m0.241s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:18:09 2003 Input: initel(0,-4,-5,-5,0) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: initel(0,-4,-5,-5,0) ^-------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:18:36 2003 Input: solve(x^2+3*x+7,x) Output: Errors (if any) and Timing Info: *** expected character: '=' instead of: solve(x^2+3*x+7,x) ^----------- Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:18:59 2003 Input: solve(x^2+3*x+7=0) Output: Errors (if any) and Timing Info: *** expected character: '=' instead of: solve(x^2+3*x+7=0) ^----------- Timing: real 0m0.051s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:19:20 2003 Input: factor(x^2+x) Output: [x 1] [x + 1 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:19:52 2003 Input: sort(x^2+x^3+5*x) Output: Errors (if any) and Timing Info: *** obsolete function: sort(x^2+x^3+5*x) ^----------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: sort(x) ===> vecsort(x) vecsort(x,{k},{flag=0}): sorts the vector of vectors (or matrix) x, according to the value of its k-th component if k is not omitted. Binary digits of flag (if present) mean: 1: indirect sorting, return the permutation instead of the permuted vector, 2: sort using ascending lexicographic order, 4: use descending instead of ascending order. Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:20:17 2003 Input: vecsort(x^2+x^3+5*x) Output: Errors (if any) and Timing Info: *** incorrect type in gen_sort. Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:20:40 2003 Input: vecsort([6,8,1,2]) Output: [1, 2, 6, 8] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:21:37 2003 Input: vecsort([6,8,1,2]) Output: [1, 2, 6, 8] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:24:21 2003 Input: e=ellinit(-4,-5,-5,0,0) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: e=ellinit(-4,-5,-5,0,0) ^-------- Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:24:36 2003 Input: ellinit(-4,-5,-5,0,0) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ellinit(-4,-5,-5,0,0) ^-------- Timing: real 0m0.054s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:24:50 2003 Input: ellinit(-4,-5,-5,0,0)) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ellinit(-4,-5,-5,0,0)) ^--------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:25:29 2003 Input: ellinit([-4,-5,-5,0,0]) Output: [-4, -5, -5, 0, 0, -4, 20, 25, -125, -464, -8216, -96875, 99897344/96875, [-0.5732916705512260764031669955, 0.7866458352756130382015834977 - 3.206734061302585579635783820*I, 0.7866458352756130382015834977 + 3.206734061302585579635783820*I]~, 2.216511078653664235627393801, -1.108255539326832117813696900 + 0.9198264218520209384848968765*I, -1.789855709865454365449116991 + 2.41883340 E-29*I, 0.8949278549327271827245584957 - 2.160128714418608547860107675*I, 2.038805454473363321789512407] Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:25:53 2003 Input: e=ellinit([-4,-5,-5,0,0]) Output: [-4, -5, -5, 0, 0, -4, 20, 25, -125, -464, -8216, -96875, 99897344/96875, [-0.5732916705512260764031669955, 0.7866458352756130382015834977 - 3.206734061302585579635783820*I, 0.7866458352756130382015834977 + 3.206734061302585579635783820*I]~, 2.216511078653664235627393801, -1.108255539326832117813696900 + 0.9198264218520209384848968765*I, -1.789855709865454365449116991 + 2.41883340 E-29*I, 0.8949278549327271827245584957 - 2.160128714418608547860107675*I, 2.038805454473363321789512407] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:26:30 2003 Input: ellisoncurve(e,[0,0]) Output: Errors (if any) and Timing Info: *** bad argument for an elliptic curve related function Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:27:38 2003 Input: ellpow(e,[0,0],4) Output: Errors (if any) and Timing Info: *** bad argument for an elliptic curve related function Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:28:15 2003 Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],4) Output: [0, 5] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:28:31 2003 Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],2) Output: [5, 25] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:28:44 2003 Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],3) Output: [5, 0] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:29:06 2003 Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],3) ellpow(ellinit([-4,-5,-5,0,0]),[0,0],2) Output: [5, 0] [5, 25] Errors (if any) and Timing Info: Timing: real 0m0.100s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host pclecacheux.institut.math.jussieu.fr. (134.157.51.81) Time: Wed Dec 3 05:30:08 2003 Input: ellpow(ellinit([-4,-5,-5,0,0]),[0,0],3) ellpow(ellinit([-4,-5,-5,0,0]),[0,0],2) e=ellinit([-4,-5,-5,0,0]) ellpow(e,[0,0],3) Output: [5, 0] [5, 25] [-4, -5, -5, 0, 0, -4, 20, 25, -125, -464, -8216, -96875, 99897344/96875, [-0.5732916705512260764031669955, 0.7866458352756130382015834977 - 3.206734061302585579635783820*I, 0.7866458352756130382015834977 + 3.206734061302585579635783820*I]~, 2.216511078653664235627393801, -1.108255539326832117813696900 + 0.9198264218520209384848968765*I, -1.789855709865454365449116991 + 2.41883340 E-29*I, 0.8949278549327271827245584957 - 2.160128714418608547860107675*I, 2.038805454473363321789512407] [5, 0] Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45) Time: Wed Dec 3 09:41:21 2003 Input: ellinit([1,2,3,4,5],0) Output: [1, 2, 3, 4, 5, 9, 11, 29, 35, -183, -3429, -10351, 6128487/10351, [-1.618909932267371342378000939, -0.3155450338663143288109995301 - 2.092547096911958607981689446*I, -0.3155450338663143288109995301 + 2.092547096911958607981689446*I]~, 2.780740013766729771063197626, -1.390370006883364885531598813 + 1.068749776356193066159263547*I, -1.554824121162190164275074561 + 5.12356965 E-29*I, 0.7774120605810950821375372806 - 1.727349756386839866714149879*I, 2.971915267817909670771647950] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45) Time: Wed Dec 3 09:41:39 2003 Input: ellinit([1,a,3,4,5],0) Output: [1, a, 3, 4, 5, 4*a + 1, 11, 29, 29*a - 23, 16*a^2 + 8*a - 263, -64*a^3 - 48*a^2 + 1572*a - 5869, -464*a^3 + 136*a^2 + 11639*a - 30461, (4096*a^6 + 6144*a^5 - 198912*a^4 - 201472*a^3 + 3269616*a^2 + 1660056*a - 18191447)/(-464*a^3 + 136*a^2 + 11639*a - 30461), 0, 0, 0, 0, 0, 0] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45) Time: Wed Dec 3 09:42:57 2003 Input: elladd([r,s,s,0,0],[0,0],[0,0]) Output: [-s, s*r - s] Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45) Time: Wed Dec 3 09:43:11 2003 Input: elladd([r,s,s,0,0],[-s,s*r-s],[0,0]) Output: [-r + 1, r + (-s - 1)] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45) Time: Wed Dec 3 09:43:25 2003 Input: elladd([r,s,s,0,0],[1-r,r+(-s-1)],[0,0]) Output: [(-s*r + (s^2 + s))/(r^2 - 2*r + 1), (-s^2*r^2 + 3*s^2*r + (-s^3 - 2*s^2))/(r^3 - 3*r^2 + 3*r - 1)] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pcp05308662pcs.wanarb01.mi.comcast.net. (68.42.76.45) Time: Wed Dec 3 09:53:38 2003 Input: ellinit([r,s,s,0,0]) Output: [r, s, s, 0, 0, r^2 + 4*s, s*r, s^2, s^3, r^4 + 8*s*r^2 - 24*s*r + 16*s^2, -r^6 - 12*s*r^4 + 36*s*r^3 - 48*s^2*r^2 + 144*s^2*r + (-64*s^3 - 216*s^2), -s^3*r^4 + s^3*r^3 - 8*s^4*r^2 + 36*s^4*r + (-16*s^5 - 27*s^4), (r^12 + 24*s*r^10 - 72*s*r^9 + 240*s^2*r^8 - 1152*s^2*r^7 + (1280*s^3 + 1728*s^2)*r^6 - 6912*s^3*r^5 + (3840*s^4 + 13824*s^3)*r^4 + (-18432*s^4 - 13824*s^3)*r^3 + (6144*s^5 + 27648*s^4)*r^2 - 18432*s^5*r + 4096*s^6)/(-s^3*r^4 + s^3*r^3 - 8*s^4*r^2 + 36*s^4*r + (-16*s^5 - 27*s^4)), 0, 0, 0, 0, 0, 0] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Wed Dec 3 10:36:34 2003 Input: quadclassunit(124) Output: [1, [], [], 8.019612686193878627627840611, 0.9994613925671084785] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Wed Dec 3 10:36:43 2003 Input: quadclassunit(124000001) Output: [1, [], [], 9699.227850074441466027589275, 1.000363969730432306] Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Wed Dec 3 10:36:47 2003 Input: quadclassunit(124000001) Output: [1, [], [], 9699.227850074441466027589275, 1.000363969730432306] Errors (if any) and Timing Info: Timing: real 0m0.069s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Wed Dec 3 10:37:00 2003 Input: quadclassunit(12400000000000000000000000001) Output: [2, [2], [Qfb(2, 111355287256599, -40044541369150, 0.E-77)], 68843619354129.09165916325515, 1.002462941966034002] Errors (if any) and Timing Info: Timing: real 0m7.555s user 0m7.100s sys 0m0.370s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Wed Dec 3 10:37:45 2003 Input: quadclassunit(1240000000000000000000000000000000000001) Output: Errors (if any) and Timing Info: Timing: real 0m21.674s user 0m20.520s sys 0m0.490s ************** PARI ***************** Host facultypc-134.faculty.iu-bremen.de. (212.201.48.134) Time: Wed Dec 3 10:41:35 2003 Input: > Q:=Rationals(); R:=PolynomialRing(Q) P:=x^2 Output: Errors (if any) and Timing Info: *** unexpected character: >Q:=Rationals();R ^-------------------- *** unexpected character: P:=x^2 ^---- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam243-86.fas.harvard.edu. (140.247.243.86) Time: Wed Dec 3 12:18:59 2003 Input: factor(421) Output: [421 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam243-86.fas.harvard.edu. (140.247.243.86) Time: Wed Dec 3 12:22:00 2003 Input: factor(32768) Output: [2 15] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dsl3-63-249-104-22.cruzio.com. (63.249.104.22) Time: Wed Dec 3 19:46:10 2003 Input: 3+2 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.128.18.14) Time: Thu Dec 4 09:26:40 2003 Input: kroneckersymbol(3,5) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: kroneckersymbol(3,5) ^-------------------- Timing: real 0m0.114s user 0m0.030s sys 0m0.060s ************** PARI ***************** Host 3(NXDOMAIN) (212.128.18.14) Time: Thu Dec 4 09:26:52 2003 Input: kronecker(3,5) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (212.128.18.14) Time: Thu Dec 4 09:27:41 2003 Input: kronecker(2,3) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.128.18.14) Time: Thu Dec 4 09:27:52 2003 Input: kronecker(18,5) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (212.128.18.14) Time: Thu Dec 4 09:27:59 2003 Input: kronecker(3,5) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.128.18.14) Time: Thu Dec 4 09:28:08 2003 Input: kronecker(5,3) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD950B027.dip.t-dialin.net. (217.80.176.39) Time: Thu Dec 4 12:36:11 2003 Input: quad(n,N)= { tnf=thueinit(x^2 + N); v=thue(tnf, n); s=length(thue(tnf, n)); } est(m,N)= { f=factorint(2*N)[,1]~; k=sum(j=1, m,(quad(j,N))^2); l=(3/N)*(prod(v=1, length(f), 2*(f[v])/(f[v]+1))*m*log(m) ); print(v); print(s); print(f); print(k); print(l); } Output: Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD950B027.dip.t-dialin.net. (217.80.176.39) Time: Thu Dec 4 12:37:38 2003 Input: kronecker (10000000000,4) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pD950B027.dip.t-dialin.net. (217.80.176.39) Time: Thu Dec 4 12:37:53 2003 Input: kronecker (5,3) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pD950B027.dip.t-dialin.net. (217.80.176.39) Time: Thu Dec 4 12:38:04 2003 Input: Input: kronecker(5,3) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam240-108.fas.harvard.edu. (140.247.240.108) Time: Thu Dec 4 15:54:07 2003 Input: factormod(x^2-2,43) Output: [Mod(1, 43)*x^2 + Mod(41, 43) 1] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host user-38lc0be.dialup.mindspring.com. (209.86.1.110) Time: Fri Dec 5 03:08:48 2003 Input: cos^-1(.9999999999992089 Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: cos^-1(.999999999999208 ^-------------------- Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Fri Dec 5 21:11:13 2003 Input: eval(concat(concat(Str(sy),Str(stem)),"(env)")) Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed. ************** PARI ***************** Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217) Time: Fri Dec 5 21:14:11 2003 Input: Str("~guest",1) Output: "/database_dump" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam240-67.fas.harvard.edu. (140.247.240.67) Time: Mon Dec 8 14:46:25 2003 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (193.2.237.28) Time: Tue Dec 9 06:11:52 2003 Input: factor(65706677346410716693277290133297748787629461731187083886926467723500222615379581578876215678872009742417817845623) Output: Errors (if any) and Timing Info: Timing: real 0m21.369s user 0m20.980s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (193.2.237.28) Time: Tue Dec 9 06:12:27 2003 Input: factor(123) Output: [3 1] [41 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (193.2.237.28) Time: Tue Dec 9 06:12:36 2003 Input: ifactor(123) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: ifactor(123) ^------------ Timing: real 0m0.070s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (193.2.237.28) Time: Tue Dec 9 06:12:43 2003 Input: factor(123) Output: [3 1] [41 1] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (193.2.237.28) Time: Tue Dec 9 06:12:54 2003 Input: factor(123334) Output: [2 1] [61667 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (193.2.237.28) Time: Tue Dec 9 06:13:25 2003 Input: factor(65706677346410716693277290133297748787629461731187083886926467723500222615379581578876215678872009742417817845623) Output: Errors (if any) and Timing Info: Timing: real 0m21.246s user 0m20.890s sys 0m0.110s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:30:25 2003 Input: contfrac(sqrt(2)) Output: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:30:47 2003 Input: contfrac(sqrt(3)) Output: [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:31:11 2003 Input: contfrac(sqrt(5)) Output: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4] Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:31:31 2003 Input: contfrac(sqrt(7)) Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:32:10 2003 Input: contfrac(sqrt(7)) Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:32:31 2003 Input: contfrac(sqrt(8)) Output: [2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:32:48 2003 Input: contfrac(sqrt(10)) Output: [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6] Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:33:04 2003 Input: contfrac(sqrt(11)) Output: [3, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3] Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:33:49 2003 Input: contfrac(sqrt(12)) Output: [3, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:34:05 2003 Input: contfrac(sqrt(13)) Output: [3, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 7] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:34:28 2003 Input: contfrac(sqrt(14)) Output: [3, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:34:46 2003 Input: contfrac(sqrt(15)) Output: [3, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:34:59 2003 Input: contfrac(sqrt(17)) Output: [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:35:14 2003 Input: contfrac(sqrt(18)) Output: [4, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:35:30 2003 Input: contfrac(sqrt(19)) Output: [4, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, 2, 1, 4] Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:36:03 2003 Input: contfrac(sqrt(20)) Output: [4, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:36:39 2003 Input: contfrac(sqrt(e)) Output: Errors (if any) and Timing Info: *** odd exponent in gsqrt Timing: real 0m0.065s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:36:49 2003 Input: contfrac(e) Output: [e] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Dec 9 11:36:56 2003 Input: contfrac(exp(1)) Output: [2, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, 14, 1, 1, 16, 1, 1, 18, 1, 1, 20, 2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 24-193-146-215.nyc.rr.com. (24.193.146.215) Time: Tue Dec 9 16:31:44 2003 Input: o gp_init.o gp_rl.o highlvl.o whatnow.o plot.o plotport.o -L -lX11 -ldl -lm plot.o(.text+0x7d): In function `rectdraw0': : undefined reference to `XOpenDisplay' plot.o(.text+0x8f): In function `rectdraw0': : undefined reference to `XLoadQueryFont' plot.o(.text+0xed): In function `rectdraw0': : undefined reference to `XSetErrorHandler' plot.o(.text+0xf7): In function `rectdraw0': : undefined reference to `XSetIOErrorHandler' plot.o(.text+0x363): In function `rectdraw0': : undefined reference to `XCreateSimpleWindow' plot.o(.text+0x3d8): In function `rectdraw0': : undefined reference to `XSetStandardProperties' plot.o(.text+0x3e9): In function `rectdraw0': : undefined reference to `XInternAtom' plot.o(.text+0x402): In function `rectdraw0': : undefined reference to `XInternAtom' plot.o(.text+0x423): In function `rectdraw0': : undefined reference to `XSetWMProtocols' plot.o(.text+0x437): In function `rectdraw0': : undefined reference to `XSelectInput' plot.o(.text+0x46a): In function `rectdraw0': : undefined reference to `XChangeWindowAttributes' plot.o(.text+0x47d): In function `rectdraw0': : undefined reference to `XCreateGC' plot.o(.text+0x498): In function `rectdraw0': : undefined reference to `XSetFont' plot.o(.text+0x4a7): In function `rectdraw0': : undefined reference to `XClearWindow' plot.o(.text+0x4b6): In function `rectdraw0': : undefined reference to `XMapWindow' plot.o(.text+0x4e6): In function `rectdraw0': : undefined reference to `XNextEvent' plot.o(.text+0x546): In function `rectdraw0': : undefined reference to `XUnloadFont' plot.o(.text+0x555): In function `rectdraw0': : undefined reference to `XFreeGC' plot.o(.text+0x5ff): In function `rectdraw0': : undefined reference to `XCloseDisplay' plot.o(.text+0x7a5): In function `rectdraw0': : undefined reference to `XSetForeground' plot.o(.text+0x865): In function `rectdraw0': : undefined reference to `XDrawString' plot.o(.text+0x8a3): In function `rectdraw0': : undefined reference to `XDrawLines' plot.o(.text+0x8ce): In function `rectdraw0': : undefined reference to `XDrawRectangles' plot.o(.text+0x8f3): In function `rectdraw0': : undefined reference to `XDrawSegments' plot.o(.text+0x91b): In function `rectdraw0': : undefined reference to `XDrawPoints' plot.o(.text+0xf42): In function `rectdraw0': : undefined reference to `XAllocNamedColor' plot.o(.text+0xf83): In function `PARI_get_plot': : undefined reference to `XOpenDisplay' plot.o(.text+0x10ac): In function `Xerror': : undefined reference to `XGetErrorText' plot.o(.text+0x100a): In function `PARI_get_plot': : undefined reference to `XCloseDisplay' collect2: ld returned 1 exit status make[1]: *** [gp-sta] Error 1 make[1]: Leaving directory `/var/tmp/portage/pari-2.1.5/work/pari-2.1.5/Ognu-x86_64-pc-linux' make: *** [gp] Error 2 !!! ERROR: app-sci/pari-2.1.5 failed. !!! Function src_compile, Line 27, Exitcode 2 !!! (no error message) Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host 24-193-146-215.nyc.rr.com. (24.193.146.215) Time: Tue Dec 9 16:31:57 2003 Input: 5476456546546456546*657567567657567 Output: 3601140210694912785367357373583582 Errors (if any) and Timing Info: Timing: real 0m0.113s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 24-193-146-215.nyc.rr.com. (24.193.146.215) Time: Tue Dec 9 16:32:13 2003 Input: 5476456546546456546*657567567657567 Output: 3601140210694912785367357373583582 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host dsl-200-67-218-93.prod-infinitum.com.mx. (200.67.218.93) Time: Wed Dec 10 00:00:37 2003 Input: Pi Output: 3.141592653589793238462643383 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pc218.math.hr. (192.84.105.21) Time: Wed Dec 10 07:50:31 2003 Input: 3+6 Output: 9 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam242-172.fas.harvard.edu. (140.247.242.172) Time: Wed Dec 10 18:03:03 2003 Input: gcd(481,19) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (160.80.11.104) Time: Thu Dec 11 08:05:49 2003 Input: 5+O(5^20) Output: 5 + O(5^20) Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (160.80.11.104) Time: Thu Dec 11 08:06:11 2003 Input: sqrt(11+O(5^20)) Output: 1 + 5 + 2*5^2 + 2*5^5 + 3*5^7 + 3*5^8 + 2*5^9 + 5^11 + 4*5^12 + 3*5^13 + 2*5^14 + 3*5^15 + 3*5^16 + 4*5^17 + O(5^20) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam243-187.fas.harvard.edu. (140.247.243.187) Time: Thu Dec 11 13:17:58 2003 Input: 767*2 Output: 1534 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam243-187.fas.harvard.edu. (140.247.243.187) Time: Thu Dec 11 15:14:42 2003 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** "PARI" ***************** Host roam243-187.fas.harvard.edu. (140.247.243.187) Time: Thu Dec 11 15:15:59 2003 Input: "2 7" Output: Error in script -- calculator type="PARI" invalid. ************** "PARI" ***************** Host roam243-187.fas.harvard.edu. (140.247.243.187) Time: Thu Dec 11 15:16:08 2003 Input: "2 7" Output: Error in script -- calculator type="PARI" invalid. ************** PARI ***************** Host ABesancon-103-1-2-62.w81-48.abo.wanadoo.fr. (81.48.130.62) Time: Thu Dec 11 15:53:11 2003 Input: 424 Output: 424 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ABesancon-103-1-2-62.w81-48.abo.wanadoo.fr. (81.48.130.62) Time: Thu Dec 11 15:53:27 2003 Input: 42527587686786 Output: 42527587686786 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ABesancon-103-1-2-62.w81-48.abo.wanadoo.fr. (81.48.130.62) Time: Thu Dec 11 15:53:35 2003 Input: 42527587686786+5 Output: 42527587686791 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host form.fas.harvard.edu. (140.247.29.178) Time: Thu Dec 11 16:55:46 2003 Input: for(i=1,2000,if(i!%3^333==0,print1(i);break)) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host form.fas.harvard.edu. (140.247.29.178) Time: Thu Dec 11 16:56:54 2003 Input: for(i=1,2000,if(mod(i!,3)^333==0,print1(i);break)) Output: Errors (if any) and Timing Info: *** obsolete function: if(mod(i!,3)^333==0,pri ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: mod(x,y) ===> Mod(x,y) Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be 0: default, creates on the Pari stack, or 1: creates a permanent object on the heap. Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host form.fas.harvard.edu. (140.247.29.178) Time: Thu Dec 11 16:57:00 2003 Input: for(i=1,2000,if(Mod(i!,3)^333==0,print1(i);break)) Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 211pc.wohnheimb.uni-frankfurt.de. (141.2.119.30) Time: Thu Dec 11 17:57:31 2003 Input: 2+3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.079s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 2(SERVFAIL) (208.253.20.58) Time: Thu Dec 11 18:35:13 2003 Input: a=1+x+(x^4) b=a^4 Output: x^4 + x + 1 x^16 + 4*x^13 + 4*x^12 + 6*x^10 + 12*x^9 + 6*x^8 + 4*x^7 + 12*x^6 + 12*x^5 + 5*x^4 + 4*x^3 + 6*x^2 + 4*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:41:14 2003 Input: a=(1+x+x^4) a^5 Output: x^4 + x + 1 x^20 + 5*x^17 + 5*x^16 + 10*x^14 + 20*x^13 + 10*x^12 + 10*x^11 + 30*x^10 + 30*x^9 + 15*x^8 + 20*x^7 + 30*x^6 + 21*x^5 + 10*x^4 + 10*x^3 + 10*x^2 + 5*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:47:15 2003 Input: D=q-8q^2+28q^3-64q^4+126q^5-224q^6 Output: Errors (if any) and Timing Info: *** unused characters: D=q-8q^2+28q^3-64q^4+126q ^-------------------- Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:47:34 2003 Input: D=q-8q^2+28q^3-64q^4+126q^5-224q^6 D Output: D Errors (if any) and Timing Info: *** unused characters: D=q-8q^2+28q^3-64q^4+126q ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:47:49 2003 Input: D=q-8q^2+28q^3-64q^4+126q^5-224q^6 D^2 Output: D^2 Errors (if any) and Timing Info: *** unused characters: D=q-8q^2+28q^3-64q^4+126q ^-------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:48:48 2003 Input: D=q-8(q^2)+28(q^3)-64(q^4)+126(q^5)-224(q^6) D^3 Output: D^3 Errors (if any) and Timing Info: *** unused characters: D=q-8(q^2)+28(q^3)-64(q^4 ^-------------------- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:49:06 2003 Input: D=q-8(q^2)+28(q^3)-64(q^4)+126(q^5)-224(q^6) Output: Errors (if any) and Timing Info: *** unused characters: D=q-8(q^2)+28(q^3)-64(q^4 ^-------------------- Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:49:42 2003 Input: q; D=q-8(q^2)+28(q^3)-64(q^4)+126(q^5)-224(q^6) Output: Errors (if any) and Timing Info: *** unused characters: D=q-8(q^2)+28(q^3)-64(q^4 ^-------------------- Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 02:59:45 2003 Input: (q-8q^2)^3 Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (q-8q^2)^3 ^------ Timing: real 0m0.053s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:00:28 2003 Input: (q-8(q^2))^3 Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (q-8(q^2))^3 ^-------- Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:00:47 2003 Input: ((q-8(q^2))^3) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ((q-8(q^2))^3) ^--------- Timing: real 0m0.060s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:00:53 2003 Input: ((q-8(q^2))^3) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ((q-8(q^2))^3) ^--------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:02:05 2003 Input: (x-8x^2)^3 Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (x-8x^2)^3 ^------ Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:02:23 2003 Input: ((x-8x^2)^3) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ((x-8x^2)^3) ^------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:03:05 2003 Input: type ((x-8x^2)^3) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: type((x-8x^2)^3) ^------- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:03:14 2003 Input: type ((x-8x^2)^3) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: type((x-8x^2)^3) ^------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:03:24 2003 Input: ((x-8x^2)^3) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ((x-8x^2)^3) ^------- Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:04:18 2003 Input: a=x+x^2 a Output: x^2 + x x^2 + x Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:04:34 2003 Input: a=x+x^2 a^3 Output: x^2 + x x^6 + 3*x^5 + 3*x^4 + x^3 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:05:23 2003 Input: d=q-8q^2 d^3 Output: d^3 Errors (if any) and Timing Info: *** unused characters: d=q-8q^2 ^--- Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:05:45 2003 Input: d=x-8x^2 d^3 Output: d^3 Errors (if any) and Timing Info: *** unused characters: d=x-8x^2 ^--- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:06:01 2003 Input: a=x-8x^2 a^3 Output: a^3 Errors (if any) and Timing Info: *** unused characters: a=x-8x^2 ^--- Timing: real 0m0.057s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:06:15 2003 Input: a=x-8(x^2) a^3 Output: a^3 Errors (if any) and Timing Info: *** unused characters: a=x-8(x^2) ^----- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:06:44 2003 Input: x-8(x^2)=a a^3 Output: a^3 Errors (if any) and Timing Info: *** unused characters: x-8(x^2)=a ^------- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:11:06 2003 Input: (x-8(x^2)+28(x^3))^3 Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (x-8(x^2)+28(x^3))^3 ^---------------- Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:12:31 2003 Input: (x-8(x^2)+28(x^3)) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (x-8(x^2)+28(x^3)) ^-------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:13:20 2003 Input: x (x-8(x^2)+28(x^3)) Output: x Errors (if any) and Timing Info: *** expected character: ')' instead of: (x-8(x^2)+28(x^3)) ^-------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:21:42 2003 Input: x (x-8*(x^2)+28*(x^3)) Output: x 28*x^3 - 8*x^2 + x Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:21:58 2003 Input: (x-8*(x^2)+28*(x^3)) Output: 28*x^3 - 8*x^2 + x Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:22:37 2003 Input: (x-8*(x^2)+28*(x^3))^3 Output: 21952*x^9 - 18816*x^8 + 7728*x^7 - 1856*x^6 + 276*x^5 - 24*x^4 + x^3 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:25:17 2003 Input: (x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7))^3 0(x^13) Output: Errors (if any) and Timing Info: *** unused characters: ...)-224*(x^6)+344*(x^7))^30(x^13) ^------ Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:26:01 2003 Input: (x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7))^3 O(x^13) Output: Errors (if any) and Timing Info: *** unused characters: ...5)-224*(x^6)+344*(x^7))^3O(x^13) ^------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:26:19 2003 Input: (x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7))^3 Output: 40707584*x^21 - 79521792*x^20 + 96512640*x^19 - 92214272*x^18 + 74880288*x^17 - 52732032*x^16 + 32615736*x^15 - 17988096*x^14 + 8921520*x^13 - 3976672*x^12 + 1586028*x^11 - 563712*x^10 + 177400*x^9 - 48576*x^8 + 11178*x^7 - 2048*x^6 + 276*x^5 - 24*x^4 + x^3 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:28:10 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^3 ) Output: -5754585088*x^36 + 12832210944*x^35 - 19249090560*x^34 + 24092284224*x^33 - 26601614592*x^32 + 26940548976*x^31 - 25562141568*x^30 + 22870514748*x^29 - 19412667216*x^28 + 15699224749*x^27 - 12115727616*x^26 + 8948645592*x^25 - 6346498784*x^24 + 4329597498*x^23 - 2843368320*x^22 + 1797544220*x^21 - 1093030968*x^20 + 638703399*x^19 - 358344704*x^18 + 192806448*x^17 - 99334560*x^16 + 48891084*x^15 - 22892544*x^14 + 10131156*x^13 - 4200352*x^12 + 1612875*x^11 - 565248*x^10 + 177400*x^9 - 48576*x^8 + 11178*x^7 - 2048*x^6 + 276*x^5 - 24*x^4 + x^3 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:31:28 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^3 )*((1+2*(x+x^4+x^9)))^0 Output: -5754585088*x^36 + 12832210944*x^35 - 19249090560*x^34 + 24092284224*x^33 - 26601614592*x^32 + 26940548976*x^31 - 25562141568*x^30 + 22870514748*x^29 - 19412667216*x^28 + 15699224749*x^27 - 12115727616*x^26 + 8948645592*x^25 - 6346498784*x^24 + 4329597498*x^23 - 2843368320*x^22 + 1797544220*x^21 - 1093030968*x^20 + 638703399*x^19 - 358344704*x^18 + 192806448*x^17 - 99334560*x^16 + 48891084*x^15 - 22892544*x^14 + 10131156*x^13 - 4200352*x^12 + 1612875*x^11 - 565248*x^10 + 177400*x^9 - 48576*x^8 + 11178*x^7 - 2048*x^6 + 276*x^5 - 24*x^4 + x^3 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:34:08 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^2 )*((1+2*(x+x^4+x^9)))^8 Output: 822083584*x^96 - 1222115328*x^95 + 1379045376*x^94 - 1381990400*x^93 + 1246136320*x^92 + 5521186816*x^91 - 8925857536*x^90 + 10388013056*x^89 - 4018561024*x^88 + 3169140736*x^87 + 20915702784*x^86 - 33068562432*x^85 + 37967077376*x^84 + 7530508288*x^83 - 10413779456*x^82 + 59309474816*x^81 - 60201288704*x^80 + 78961909760*x^79 + 59591625728*x^78 - 65731176448*x^77 + 126576579584*x^76 - 15990618112*x^75 + 86851241216*x^74 + 147200750592*x^73 - 108528795904*x^72 + 197084623872*x^71 + 142235215360*x^70 + 20608946176*x^69 + 214594286592*x^68 + 11897446912*x^67 + 222910184448*x^66 + 290600304640*x^65 - 16854383616*x^64 + 237081780992*x^63 + 264935636224*x^62 + 180876745728*x^61 + 277739642880*x^60 + 117373151744*x^59 + 254547566336*x^58 + 371499191296*x^57 + 143256623872*x^56 + 193212552448*x^55 + 283088128352*x^54 + 239677336064*x^53 + 239834478848*x^52 + 162980778496*x^51 + 179283244928*x^50 + 256040127872*x^49 + 165439451648*x^48 + 108801968384*x^47 + 154685338560*x^46 + 148463352768*x^45 + 111168174144*x^44 + 84769575168*x^43 + 75949439104*x^42 + 84252918400*x^41 + 64668856896*x^40 + 33792616576*x^39 + 35081588768*x^38 + 37891777472*x^37 + 21833460976*x^36 + 12608331328*x^35 + 13366283104*x^34 + 10365978624*x^33 + 5374389824*x^32 + 3092851552*x^31 + 2077659072*x^30 + 1115956224*x^29 + 401595904*x^28 + 47970256*x^27 - 11066320*x^26 + 8373760*x^25 - 2854720*x^24 - 1691808*x^23 + 7182336*x^22 + 1623680*x^21 - 3130840*x^20 - 1094448*x^19 + 428281*x^18 + 299136*x^17 + 68704*x^16 - 29664*x^15 - 21140*x^14 - 6048*x^12 + 4830*x^10 - 1472*x^8 + 252*x^6 - 24*x^4 + x^2 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:36:07 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^0 )*((1+2*(x+x^4+x^9)))^8 Output: 256*x^72 + 2048*x^67 + 2048*x^64 + 1024*x^63 + 7168*x^62 + 14336*x^59 + 7168*x^58 + 14336*x^57 + 7168*x^56 + 7168*x^55 + 44800*x^54 + 21504*x^53 + 17920*x^52 + 43008*x^51 + 43008*x^50 + 82432*x^49 + 50176*x^48 + 35840*x^47 + 118272*x^46 + 109312*x^45 + 98560*x^44 + 107520*x^43 + 114688*x^42 + 197120*x^41 + 170240*x^40 + 114688*x^39 + 191744*x^38 + 226048*x^37 + 216160*x^36 + 197120*x^35 + 184576*x^34 + 258048*x^33 + 265472*x^32 + 190848*x^31 + 204288*x^30 + 245760*x^29 + 238464*x^28 + 204736*x^27 + 175168*x^26 + 195328*x^25 + 206080*x^24 + 156800*x^23 + 128576*x^22 + 140672*x^21 + 133952*x^20 + 105280*x^19 + 83440*x^18 + 78400*x^17 + 74848*x^16 + 56448*x^15 + 38528*x^14 + 35168*x^13 + 31808*x^12 + 21312*x^11 + 14112*x^10 + 12112*x^9 + 9328*x^8 + 5504*x^7 + 3136*x^6 + 2016*x^5 + 1136*x^4 + 448*x^3 + 112*x^2 + 16*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:37:49 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^0 )*((1+2*(x+x^4+x^9))^8) Output: 256*x^72 + 2048*x^67 + 2048*x^64 + 1024*x^63 + 7168*x^62 + 14336*x^59 + 7168*x^58 + 14336*x^57 + 7168*x^56 + 7168*x^55 + 44800*x^54 + 21504*x^53 + 17920*x^52 + 43008*x^51 + 43008*x^50 + 82432*x^49 + 50176*x^48 + 35840*x^47 + 118272*x^46 + 109312*x^45 + 98560*x^44 + 107520*x^43 + 114688*x^42 + 197120*x^41 + 170240*x^40 + 114688*x^39 + 191744*x^38 + 226048*x^37 + 216160*x^36 + 197120*x^35 + 184576*x^34 + 258048*x^33 + 265472*x^32 + 190848*x^31 + 204288*x^30 + 245760*x^29 + 238464*x^28 + 204736*x^27 + 175168*x^26 + 195328*x^25 + 206080*x^24 + 156800*x^23 + 128576*x^22 + 140672*x^21 + 133952*x^20 + 105280*x^19 + 83440*x^18 + 78400*x^17 + 74848*x^16 + 56448*x^15 + 38528*x^14 + 35168*x^13 + 31808*x^12 + 21312*x^11 + 14112*x^10 + 12112*x^9 + 9328*x^8 + 5504*x^7 + 3136*x^6 + 2016*x^5 + 1136*x^4 + 448*x^3 + 112*x^2 + 16*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:38:03 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^1 )*((1+2*(x+x^4+x^9))^8) Output: -458752*x^84 + 340992*x^83 - 258048*x^82 + 193792*x^81 - 131072*x^80 - 3581952*x^79 + 2670592*x^78 - 2032128*x^77 - 2136064*x^76 - 148480*x^75 - 12843008*x^74 + 9607424*x^73 - 7240704*x^72 - 20214784*x^71 + 2531328*x^70 - 28114944*x^69 + 8271872*x^68 - 18766848*x^67 - 66291712*x^66 + 11448320*x^65 - 41795584*x^64 - 45385984*x^63 - 41896960*x^62 - 117350912*x^61 - 1921024*x^60 - 63318528*x^59 - 163620352*x^58 - 71450624*x^57 - 125547520*x^56 - 98561792*x^55 - 129652992*x^54 - 255630592*x^53 - 112759808*x^52 - 122873856*x^51 - 250145280*x^50 - 213468416*x^49 - 228375552*x^48 - 182759808*x^47 - 191992832*x^46 - 315813152*x^45 - 236438016*x^44 - 165856256*x^43 - 240984576*x^42 - 255093440*x^41 - 234010752*x^40 - 191450752*x^39 - 169216256*x^38 - 220122912*x^37 - 201012800*x^36 - 129539520*x^35 - 132719360*x^34 - 149707264*x^33 - 125158784*x^32 - 93963328*x^31 - 78408832*x^30 - 80018048*x^29 - 72262400*x^28 - 46106640*x^27 - 34028736*x^26 - 36534816*x^25 - 28545024*x^24 - 16292384*x^23 - 12860448*x^22 - 11666816*x^21 - 7537344*x^20 - 4017968*x^19 - 2515696*x^18 - 1583856*x^17 - 732928*x^16 - 208192*x^15 - 24288*x^14 - 816*x^13 - 768*x^12 + 1092*x^11 - 1680*x^10 - 2043*x^9 + 512*x^8 + 1016*x^7 + 96*x^6 - 210*x^5 - 64*x^4 + 12*x^3 + 8*x^2 + x Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:38:30 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^2 )*((1+2*(x+x^4+x^9))^8) Output: 822083584*x^96 - 1222115328*x^95 + 1379045376*x^94 - 1381990400*x^93 + 1246136320*x^92 + 5521186816*x^91 - 8925857536*x^90 + 10388013056*x^89 - 4018561024*x^88 + 3169140736*x^87 + 20915702784*x^86 - 33068562432*x^85 + 37967077376*x^84 + 7530508288*x^83 - 10413779456*x^82 + 59309474816*x^81 - 60201288704*x^80 + 78961909760*x^79 + 59591625728*x^78 - 65731176448*x^77 + 126576579584*x^76 - 15990618112*x^75 + 86851241216*x^74 + 147200750592*x^73 - 108528795904*x^72 + 197084623872*x^71 + 142235215360*x^70 + 20608946176*x^69 + 214594286592*x^68 + 11897446912*x^67 + 222910184448*x^66 + 290600304640*x^65 - 16854383616*x^64 + 237081780992*x^63 + 264935636224*x^62 + 180876745728*x^61 + 277739642880*x^60 + 117373151744*x^59 + 254547566336*x^58 + 371499191296*x^57 + 143256623872*x^56 + 193212552448*x^55 + 283088128352*x^54 + 239677336064*x^53 + 239834478848*x^52 + 162980778496*x^51 + 179283244928*x^50 + 256040127872*x^49 + 165439451648*x^48 + 108801968384*x^47 + 154685338560*x^46 + 148463352768*x^45 + 111168174144*x^44 + 84769575168*x^43 + 75949439104*x^42 + 84252918400*x^41 + 64668856896*x^40 + 33792616576*x^39 + 35081588768*x^38 + 37891777472*x^37 + 21833460976*x^36 + 12608331328*x^35 + 13366283104*x^34 + 10365978624*x^33 + 5374389824*x^32 + 3092851552*x^31 + 2077659072*x^30 + 1115956224*x^29 + 401595904*x^28 + 47970256*x^27 - 11066320*x^26 + 8373760*x^25 - 2854720*x^24 - 1691808*x^23 + 7182336*x^22 + 1623680*x^21 - 3130840*x^20 - 1094448*x^19 + 428281*x^18 + 299136*x^17 + 68704*x^16 - 29664*x^15 - 21140*x^14 - 6048*x^12 + 4830*x^10 - 1472*x^8 + 252*x^6 - 24*x^4 + x^2 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:41:35 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^1 )*((1+2*(x+x^4+x^9))^16) Output: -117440512*x^156 + 87293952*x^155 - 66060288*x^154 + 49610752*x^153 - 33554432*x^152 - 1856503808*x^151 + 1382023168*x^150 - 1048707072*x^149 - 1089470464*x^148 - 77856768*x^147 - 14091288576*x^146 + 10505748480*x^145 - 7935098880*x^144 - 22207266816*x^143 + 2805989376*x^142 - 68434264064*x^141 + 37009489920*x^140 - 41724411904*x^139 - 169606119424*x^138 + 29257367552*x^137 - 238668480512*x^136 - 18631229440*x^135 - 181075968000*x^134 - 770987786240*x^133 + 85511372800*x^132 - 684434128896*x^131 - 817855463424*x^130 - 667003387904*x^129 - 2402011316224*x^128 - 339285508096*x^127 - 1978075316224*x^126 - 4286944772096*x^125 - 2212656316416*x^124 - 5751105912832*x^123 - 3968944308224*x^122 - 6144273809408*x^121 - 13382443335680*x^120 - 7263321784320*x^119 - 12721518542848*x^118 - 17822634033152*x^117 - 18038885449728*x^116 - 30354791727104*x^115 - 23239379910656*x^114 - 30621441949696*x^113 - 51399122944000*x^112 - 45860637442048*x^111 - 58462594531328*x^110 - 65582734983168*x^109 - 75264561741824*x^108 - 109338000392192*x^107 - 101271836164096*x^106 - 111968466501632*x^105 - 152105910075392*x^104 - 163164322234368*x^103 - 191013214945280*x^102 - 200367516876800*x^101 - 219358059954176*x^100 - 285704491491328*x^99 - 296603780415488*x^98 - 306592025985024*x^97 - 357507412787200*x^96 - 395642223575040*x^95 - 447227315798016*x^94 - 464380777529344*x^93 - 479479710121984*x^92 - 562408827297792*x^91 - 606923720531968*x^90 - 616545982586880*x^89 - 654764752568320*x^88 - 701936750329856*x^87 - 764925342597120*x^86 - 789713191510016*x^85 - 785714055806976*x^84 - 842360040613888*x^83 - 898087929012224*x^82 - 903680027238912*x^81 - 907073617690624*x^80 - 926721841885184*x^79 - 965506048720896*x^78 - 978719500282880*x^77 - 949385613643776*x^76 - 948991808567296*x^75 - 972346787328000*x^74 - 960986690890240*x^73 - 926437218822144*x^72 - 901392392058880*x^71 - 894080359464960*x^70 - 877571838574592*x^69 - 829302452629504*x^68 - 784544907470848*x^67 - 763106291003392*x^66 - 731718432915456*x^65 - 679660163563520*x^64 - 629917538758144*x^63 - 593674847422464*x^62 - 558206153804800*x^61 - 509662530772992*x^60 - 459164478516224*x^59 - 421774979986432*x^58 - 387488828841984*x^57 - 345370704189440*x^56 - 303895638204928*x^55 - 271051236974080*x^54 - 242060405175808*x^53 - 210943236929536*x^52 - 180406607466496*x^51 - 155791769775104*x^50 - 135308815865344*x^49 - 114554699532288*x^48 - 94912654875392*x^47 - 79342511927296*x^46 - 66584297523520*x^45 - 54511129517056*x^44 - 43645917494272*x^43 - 35087423398912*x^42 - 28318295283584*x^41 - 22319651306752*x^40 - 17121902540032*x^39 - 13157723987456*x^38 - 10153971927360*x^37 - 7615319252608*x^36 - 5539172641152*x^35 - 4035288728064*x^34 - 2936249046016*x^33 - 2063725659904*x^32 - 1404762941056*x^31 - 952734543104*x^30 - 638870551296*x^29 - 410798466560*x^28 - 253500267808*x^27 - 153353150336*x^26 - 90239819584*x^25 - 50012152832*x^24 - 25818596416*x^23 - 12623355456*x^22 - 5831203072*x^21 - 2416531840*x^20 - 844752224*x^19 - 245830112*x^18 - 60220384*x^17 - 9622016*x^16 + 246656*x^15 - 469440*x^14 - 579936*x^13 + 370944*x^12 + 534612*x^11 + 115920*x^10 - 113643*x^9 - 84480*x^8 - 16744*x^7 + 6048*x^6 + 4830*x^5 + 1472*x^4 + 252*x^3 + 24*x^2 + x Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AC8DD6CF.ipt.aol.com. (172.141.214.207) Time: Fri Dec 12 03:46:08 2003 Input: ((x-8*(x^2)+28*(x^3)-64*(x^4)+126*(x^5)-224*(x^6)+344*(x^7)-512*(x^8)+757*(x^9)-1008*(x^10)+1332*(x^11)-1792*(x^12))^0 )*((1+2*(x+x^4+x^9))^24) Output: 16777216*x^216 + 402653184*x^211 + 402653184*x^208 + 201326592*x^207 + 4630511616*x^206 + 9261023232*x^203 + 4630511616*x^202 + 33957085184*x^201 + 4630511616*x^200 + 4630511616*x^199 + 103028883456*x^198 + 50935627776*x^197 + 178274697216*x^196 + 101871255552*x^195 + 101871255552*x^194 + 738566602752*x^193 + 390506479616*x^192 + 764034416640*x^191 + 1095115997184*x^190 + 1073892818944*x^189 + 3832905990144*x^188 + 2495845761024*x^187 + 3327794348032*x^186 + 7665811980288*x^185 + 7398399934464*x^184 + 15688173355008*x^183 + 14172838428672*x^182 + 16592280748032*x^181 + 39231575556096*x^180 + 38329059901440*x^179 + 56245666971648*x^178 + 70834479693824*x^177 + 82579386531840*x^176 + 157817675710464*x^175 + 163240197750784*x^174 + 197833978281984*x^173 + 303620910219264*x^172 + 357293266829312*x^171 + 533910433824768*x^170 + 608005854855168*x^169 + 709461136113664*x^168 + 1105564167831552*x^167 + 1301841425989632*x^166 + 1631147687673856*x^165 + 2046787716120576*x^164 + 2447447364206592*x^163 + 3462862103117824*x^162 + 4084947920879616*x^161 + 4751573014020096*x^160 + 6260911861923840*x^159 + 7606121791488000*x^158 + 9603280697032704*x^157 + 11444026322452480*x^156 + 13313646708916224*x^155 + 17286764156682240*x^154 + 20820781691830272*x^153 + 24388318125883392*x^152 + 29415238797361152*x^151 + 34885878316793856*x^150 + 42996302616723456*x^149 + 50753728907575296*x^148 + 58006776624185344*x^147 + 69956072773779456*x^146 + 83109846583345152*x^145 + 97129146642006016*x^144 + 112718375452409856*x^143 + 129389416283111424*x^142 + 153183764527185920*x^141 + 178540387000909824*x^140 + 201984526009761792*x^139 + 231998751365922816*x^138 + 267278454406250496*x^137 + 307177885975707648*x^136 + 348920521791373312*x^135 + 390398165666758656*x^134 + 444013211604221952*x^133 + 505578058594385920*x^132 + 564860741414289408*x^131 + 628996308875083776*x^130 + 701672522844733440*x^129 + 785693024834813952*x^128 + 874371733422342144*x^127 + 958511771041792000*x^126 + 1054285622706438144*x^125 + 1166135892975550464*x^124 + 1279036860142714880*x^123 + 1391250117441355776*x^122 + 1508586611650854912*x^121 + 1641085785049923584*x^120 + 1783468527167471616*x^119 + 1916579601453416448*x^118 + 2050925176994529280*x^117 + 2202211060079788032*x^116 + 2359516171879317504*x^115 + 2510029946400800768*x^114 + 2654018541029425152*x^113 + 2806568789293793280*x^112 + 2970846460814295040*x^111 + 3123638369516912640*x^110 + 3261633429733244928*x^109 + 3404637551657598976*x^108 + 3553663428938956800*x^107 + 3692159745194065920*x^106 + 3810903551979290624*x^105 + 3922601210826326016*x^104 + 4039709247001657344*x^103 + 4145659439227863040*x^102 + 4225743906979971072*x^101 + 4293506105409601536*x^100 + 4360558137419268096*x^99 + 4416576756636942336*x^98 + 4447408494461976576*x^97 + 4458410440665989120*x^96 + 4465176180973043712*x^95 + 4463017515513249792*x^94 + 4436130615864655872*x^93 + 4388338224258711552*x^92 + 4333737324615401472*x^91 + 4271501044542971904*x^90 + 4190134221574078464*x^89 + 4089034936420024320*x^88 + 3980448504682315776*x^87 + 3867987754300538880*x^86 + 3742181904248291328*x^85 + 3601182828305154048*x^84 + 3454975034389266432*x^83 + 3308060303490269184*x^82 + 3154788102694395904*x^81 + 2992611822383800320*x^80 + 2828259847137263616*x^79 + 2667029530965606400*x^78 + 2505638311836008448*x^77 + 2341370564917469184*x^76 + 2178804373472641024*x^75 + 2022313691044061184*x^74 + 1870257781393711104*x^73 + 1720472585331470080*x^72 + 1575388642686566400*x^71 + 1438225799939309568*x^70 + 1308313476408147968*x^69 + 1183800104117157888*x^68 + 1065770217892706304*x^67 + 956240883268419584*x^66 + 854797132837748736*x^65 + 760017297722112000*x^64 + 672116838973340672*x^63 + 592060696712291328*x^62 + 519514728633483264*x^61 + 453367361533755392*x^60 + 393355218995300352*x^59 + 339782048801006592*x^58 + 292280301295519744*x^57 + 249991145149621248*x^56 + 212496181564302336*x^55 + 179727430863587584*x^54 + 151314163822586880*x^53 + 126631051756165632*x^52 + 105265501241595904*x^51 + 87013404671440896*x^50 + 71559145279704576*x^49 + 58471405877017600*x^48 + 47428209558647808*x^47 + 38226590370906624*x^46 + 30632367071845632*x^45 + 24373342804215552*x^44 + 19236695936916480*x^43 + 15072623762898944*x^42 + 11731338458476032*x^41 + 9058307271233280*x^40 + 6930783814000640*x^39 + 5258443978267392*x^38 + 3958489406944512*x^37 + 2952619444359200*x^36 + 2179257222680064*x^35 + 1592535785592576*x^34 + 1152831158882304*x^33 + 825404781134592*x^32 + 583625599854720*x^31 + 407708653146624*x^30 + 281462990217216*x^29 + 191676193357440*x^28 + 128534780186944*x^27 + 84877343485632*x^26 + 55182291504384*x^25 + 35244437635840*x^24 + 22061526159744*x^23 + 13523447854272*x^22 + 8110413868160*x^21 + 4744772626368*x^20 + 2697825064896*x^19 + 1487286918352*x^18 + 793229224128*x^17 + 407488018464*x^16 + 200343312768*x^15 + 93703589760*x^14 + 41469483552*x^13 + 17231109824*x^12 + 6631997376*x^11 + 2319457632*x^10 + 721175536*x^9 + 195082320*x^8 + 44981376*x^7 + 8662720*x^6 + 1362336*x^5 + 170064*x^4 + 16192*x^3 + 1104*x^2 + 48*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ABesancon-103-1-3-183.w81-49.abo.wanadoo.fr. (81.49.188.183) Time: Fri Dec 12 10:58:53 2003 Input: 130475260650438030173474313895577390123 Output: 130475260650438030173474313895577390123 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ABesancon-103-1-3-183.w81-49.abo.wanadoo.fr. (81.49.188.183) Time: Fri Dec 12 10:59:11 2003 Input: 130475260650438030173474313895577390123 Output: 130475260650438030173474313895577390123 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE-24-164-246-39.new.rr.com. (24.164.246.39) Time: Sat Dec 13 08:27:14 2003 Input: (exp(1.92*ln(2^512)^(1/3)*ln(ln(2^512)^(2/3))))/(365*24*3600*10^6) Output: Errors (if any) and Timing Info: *** obsolete function: ...(1.92*ln(2^512)^(1/3)*ln(ln(2^512)^(2/3))))/( ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: ln(x) ===> log(x) log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0: default, or 1: calls logagm, computed using the agm. Timing: real 0m0.074s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE-24-164-246-39.new.rr.com. (24.164.246.39) Time: Sat Dec 13 08:27:53 2003 Input: (exp(1.92*log((2^512)^(1/3))*log(log((2^512)^(2/3)))))+0/(365*24*60*60*10^6) Output: 1.616876567529328272342493588 E539 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host CPE-24-164-246-39.new.rr.com. (24.164.246.39) Time: Sat Dec 13 08:28:05 2003 Input: (e^(1.92*log((2^512)^(1/3))*log(log((2^512)^(2/3)))))+0/(365*24*60*60*10^6) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host CPE-24-164-246-39.new.rr.com. (24.164.246.39) Time: Sat Dec 13 08:30:28 2003 Input: 1*1.9 Output: 1.899999999999999999999999999 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host CPE-24-164-246-39.new.rr.com. (24.164.246.39) Time: Sat Dec 13 08:43:24 2003 Input: 1*1.7 Output: 1.699999999999999999999999999 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host CPE-24-164-246-39.new.rr.com. (24.164.246.39) Time: Sat Dec 13 08:43:33 2003 Input: e Output: e Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host geo.math.u-psud.fr. (129.175.50.56) Time: Sat Dec 13 09:40:39 2003 Input: bnfinit(x^2-2).clgp Output: [1, [], []] Errors (if any) and Timing Info: Timing: real 0m0.094s user 0m0.060s sys 0m0.030s ************** PARI ***************** Host AMarseille-108-1-29-56.w81-250.abo.wanadoo.fr. (81.250.140.56) Time: Sat Dec 13 12:35:39 2003 Input: 123^12 Output: 11991163848716906297072721 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host AMarseille-108-1-29-56.w81-250.abo.wanadoo.fr. (81.250.140.56) Time: Sat Dec 13 12:35:58 2003 Input: 123^12 Output: 11991163848716906297072721 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22) Time: Sat Dec 13 20:58:55 2003 Input: 2*12314 Output: 24628 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22) Time: Sat Dec 13 20:59:11 2003 Input: 2^1231 Output: 36976403076012328632505586964512948848292460891921624029944525881332168849529865532631729656047256273305455969883869499140102612416297720117128401560355118117670263833180471897936965851491150482647751902290486509669497924148901116108456581999200310987889213568675333578065137576474283792529095762414637256110936726127890924781732577346577379376235409117641193080013979648 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22) Time: Sat Dec 13 20:59:27 2003 Input: IsPrime(123411) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: IsPrime(123411) ^--------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pcp05008313pcs.sanarb01.mi.comcast.net. (68.40.85.22) Time: Sat Dec 13 20:59:40 2003 Input: Isprime(123411) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Isprime(123411) ^--------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host px1wh.vc.shawcable.net. (24.69.255.202) Time: Sun Dec 14 00:52:18 2003 Input: N:=19; A:=SortDecomposition(NewformDecomposition(NewSubspace(CuspidalSubspace(ModularSymbols(N,2,+1))))); #A; i:=1; p:=2; rp:=[]; Include(~rp,); f1:=Factorization(Numerator(Evaluate(CharacteristicPolynomial(DualHeckeOperator(A[i],p)),+(p+1)))); for j in [1..#f1] do Include(~rp,f1[j]); end for; f2:=Factorization(Numerator(Evaluate(CharacteristicPolynomial(DualHeckeOperator(A[i],p)),-(p+1)))); for j in [1..#f2] do Include(~rp,f2[j]); end for; for j in [1..#rp] do printf "%o",rp[j]; end for; B:=SortDecomposition(NewformDecomposition(NewSubspace(CuspidalSubspace(ModularSymbols(N*p,2,+1))))); for k in [1..#B] do g:=Order(CongruenceGroupAnemic(A[i],B[k],200)); if g ge 2 and Numerator(g/2) ge 3 then print [ N*p, k, g ]; end if; end for; Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed. ************** PARI ***************** Host www.reeltwo.co.nz. (210.54.213.182) Time: Sun Dec 14 17:48:07 2003 Input: Factorization(4*(x-1)^651+1); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factorization(4*(x-1 ^-------------------- Timing: real 0m0.096s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host www.reeltwo.co.nz. (210.54.213.182) Time: Sun Dec 14 17:48:21 2003 Input: 4*(x-1)^651+1 Output: 4*x^651 - 2604*x^650 + 846300*x^649 - 183082900*x^648 + 29659429800*x^647 - 3837930216120*x^646 + 413217153268920*x^645 - 38075009122636200*x^644 + 3065038234372214100*x^643 - 218979953855703740700*x^642 + 14058513037536180152940*x^641 - 819227896096426498003140*x^640 + 43692154458476079893500800*x^639 - 2147637438382016542457462400*x^638 + 97870906120551896720561500800*x^637 - 4156251146586103880733178400640*x^636 + 165210983076797629259143841425440*x^635 - 6171116132574499681150372900303200*x^634 + 217360423780679599880518689932901600*x^633 - 7241534118587904564440438459343511200*x^632 + 228832478147377784236317855315254953920*x^631 - 6875871129095018183481741271615517901120*x^630 + 196899945969539157072431681868989830804800*x^629 - 5384785478906092599937370778069330590270400*x^628 + 140901886698042756365027868692814150445408800*x^627 - 3533819318386912329634898946815778893170852704*x^626 + 85083495896546427628901797719487599504805915104*x^625 - 1969525367975611750669023095358509247796433220000*x^624 + 43892279629170776157766800410846777522320511760000*x^623 - 942927248585289432630645401929570427462264787120000*x^622 + 19550024954001667569875381333339760196050956586288000*x^621 - 391631145046291469706213284129161002637020775486608000*x^620 + 7587853435271897225557882380002494426092277525053030000*x^619 - 142329735649494072200616036158228607568215751151752290000*x^618 + 2587052253864333429999432657228978808151686300346556330000*x^617 - 45606035446694106465989998557436569275131155637537864446000*x^616 + 780369939865654710640273308649470185374466440908981236076000*x^615 - 12971013865334531001182921211335788216359374625919552978020000*x^614 + 209584276666194790387534569046320367495912000534594882329060000*x^613 - 3294234912727625807886120277574215007051129649428375970967020000*x^612 + 50401794164732674860657640246885489607882283636254152355795406000*x^611 - 751109664259796691216141907093830101229660373213446026570512026000*x^610 + 10908973695201809086710632460172294327383162563338144671619341330000*x^609 - 154501511171579110088529655075463424311077813978440235000376252790000*x^608 + 2134929972552729521223318870133676408662166156792992338187017311280000*x^607 - 28797833185322373764056767870469812890176330159407696650655989065488000*x^606 + 379380150224029532630834811510971882857540349491327481962989768993168000*x^605 - 4883510444373146111524575765194425300613019392388364395481038515763120000*x^604 + 61450839758362088570017578378696518366047160687553585309803067990019260000*x^603 - 756221558659027334851440811476612256627070161114179835547168367305747220000*x^602 + 9104907566254689111611347370178411569789924739814725219987907142361196528800*x^601 - 107295087202334669727027838617200497126347936639777448180641807697236845368800*x^600 + 1238020236950015419927244291736928812996322345843585940545867011891194369640000*x^599 - 13991964564774702576158855297177742622354661984156754309188195096657083536120000*x^598 + 154948052032134669269314730883560927558668293824550723646195197551869184344440000*x^597 - 1681890673876079955523288987954288613682272207513759673032336962517561873702376000*x^596 + 17900122171966850955212147086084928817047039922825013662987014815365479941546716000*x^595 - 186852152496846952953530307302114607827069978141769879464513575704253694126671860000*x^594 + 1913623768674605000937879354094070293953095983038126006929673516695287832952466980000*x^593 - 19233540590237979077223092491148876005325185049857774951005023650852638727810388460000*x^592 + 189770933823681393561934512579335576585875159158596712849916233355079368781062499472000*x^591 - 1838600358849109895001693392367005340364790476438207496627876949391014868026359626032000*x^590 + 17496358253564110291145146798331179851858490017718426177587861292591915679605680312240000*x^589 - 163577063672210491452134785146302617980073819372002428866654766687883148179170566728720000*x^588 + 1502864272488433890216488338531655302691928215480272315212390668944926423896129581820115000*x^587 - 13572020430010933747031979303355102502771720961337228446610358810318027858877354838898577000*x^586 + 120503090484642532966071816238880152524609522474903270753237428224944914019729241448402517000*x^585 - 1052153849753968384853015111936490883983530905191319602845431276292429473157337406676350335000*x^584 + 9036144827298787305208247431925157003623265421054862471496056843452629592998309492632185230000*x^583 - 76348875859640478245455192069744442508874836818478040882350741155549029749536441075428463610000*x^582 + 634786367861582261983641739779875222002359357547917425621830447893279075917574410084276654586000*x^581 - 5194519432782806960739378180452218365962968827258310201215260425718241452226911721957249807246000*x^580 + 41844739875194833850400546453642870170257248886247498843122931207174722809605677760211179002815000*x^579 - 331891840927915189032628991735057833268204754864894545618742152999372116530982019495373597844245000*x^578 + 2592344379139661881903507530038694967959761463674446586049094113968068693985237936058458642621265000*x^577 - 19943769423514465411444317931097693286837098193868742402004364050127675152393097188076408490566265400*x^576 + 151152778788741211539367462214635149121291691574584152941506759116757116944452947109631727507449590400*x^575 - 1128738283162677878378393386667730009671983411108907635602160863534225223935849929714782380737448240000*x^574 + 8306356083786885925502535948042013148098954845852730549174876098315965109476639226362629314657631920000*x^573 - 60247367544428932092569026559849032074186090211058412717432962080190481110507775654503627813909153040000*x^572 + 430768677942666864461868539902920579330430545009067650929645678873361939940130595929700938869450444236000*x^571 - 3036653272904478760589221435611946306144146187656513934331205958477650218590303336739002914746372884676000*x^570 + 21108443482384791384583612418278163347587357645905035884985212150393422251176498804161361724456494442260000*x^569 - 144707281222613810817205728506027408973219355427951390585019104982817557360475033970696564111033076357180000*x^568 + 978496853981483863621105402278852003533197546227099879193938709883813959294640705897091052560318897272360000*x^567 - 6527149602441192360860785448142459835333211867185478017681920570636735469647779767572360315314127232393272000*x^566 + 42957752034671103212176797251728282172076719963104425093115895848609212509542364516813441144974372250402232000*x^565 - 278978504592979003619309085600304361232452261829356323880580243154760977791855585655167749964488739327324840000*x^564 + 1787998597618638159560117321347405224262534950815420075780082467491877175847801708062666033863314192961491020000*x^563 - 11310597870329138020588157886725720688312440194484061827687487968516032022497891703812145809719616748733926340000*x^562 + 70628400034721950750783830359331722520351015436667141635115202647844555518264612639360288278471384586538517812000*x^561 - 435412444170099059024062954193242816856229886373299631398897018521327424678532392205287051914532381901627565852000*x^560 + 2650336616687559489711687547263217146081399308359215147645460112738514758912805865597399446436284063749037357360000*x^559 - 15930517943315545749987455257205789082360238853470981371331314010976663980992026654504798823203040770276471857680000*x^558 + 94566266089043346047797872697030109659117162555710719204285885299201898950995222055464656844120178189513524431760000*x^557 - 554456949595759407880246474655218642948718521510851269439865664333215344375835144051513830128157255279568769563056000*x^556 + 3211229833075439903973094165711474640411328103750346935505888639263205536176711875965017599492244103494169123719366000*x^555 - 18373531519142980893866672803813076550807083480221057208306888606093598686371908156294688326991705952982101687260290000*x^554 + 103866698587808279746960578911351473562725757633086384626551186609957690533163644067216911562789847938286574844308170000*x^553 - 580184690091494734344133334727044089698862060314108794934169759548551544089287829991625778729523089998711877665680990000*x^552 + 3202619489305050933579616007693283375137718572933880548036617072708004523372868821553774298586967456792889564714559064800*x^551 - 17471716223832505588142261586524743957434484491946219623447287198634757350281690303724055826944743254384971783739822224800*x^550 + 94210234540273314445865136005770678201852612456572752871529489796559966104460094774982653968819694018742494912322570820000*x^549 - 502149696724369413891067569584156333328321206200567391519123202896227392149015456616169679892058369090190579678301858060000*x^548 + 2645942632739946527041394501270362217922307894210682024543072261414736643246735290631355620969692175590619592920282867470000*x^547 - 13784101143892864288491836116141791744795261125078505404048195495179628036723468609289062139718301143314942069784711700058000*x^546 + 71001124760051923599212665277485078232624646927291169345380327739321480264632206232753093663077287021226022359457099888978000*x^545 - 361641242936713068799728061460087548007293762386669974703105407644207539665650022400471364919412349781011048466393639621430000*x^544 + 1821600334792332494694926531798959501073775988318041354060086497763415755352903816535707615890373317415463058941834629204240000*x^543 - 9074577814607674721278395474925091826450095061070609681235109800784722524372722682375130600261217535381618724820332143650480000*x^542 + 44712919777430542717571730430994543363054104755457004065722086472957450983727415398612007139468908219789430444114727471441456000*x^541 - 217925131527837149641498253722234666301011447501821974770771610647477306145914700276117980742816931053207944777171779838286736000*x^540 + 1050710455580643400057223723303631426808448050455213092644791694193194154632088733474140264295724489006538305175649652791739620000*x^539 - 5011795889893511439211005193457144593360650435357166875535776311240103091563679887987270818189340704199328729997125334997766860000*x^538 + 23652159550550080300837901702455647291473946791422419114370593468834872 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.128s user 0m0.090s sys 0m0.030s ************** PARI ***************** Host www.reeltwo.co.nz. (210.54.213.182) Time: Sun Dec 14 17:48:58 2003 Input: factor(4*(x-1)^651+1) Output: Errors (if any) and Timing Info: Timing: real 0m21.163s user 0m20.850s sys 0m0.150s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:12:51 2003 Input: 12^2 Output: 144 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:13:31 2003 Input: 1766319049^2 12^2 Output: 3119882982860264401 144 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:15:07 2003 Input: 2*3119882982860264401 1766319049^2 12^2 Output: 6239765965720528802 3119882982860264401 144 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:16:43 2003 Input: 226153980^2 2*3119882982860264401 1766319049^2 12^2 Output: 51145622669840400 6239765965720528802 3119882982860264401 144 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:17:14 2003 Input: 2*51145622669840400 226153980^2 2*3119882982860264401 1766319049^2 12^2 Output: 102291245339680800 51145622669840400 6239765965720528802 3119882982860264401 144 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:19:33 2003 Input: 61*51145622669840400 226153980^2 2*3119882982860264401 1766319049^2 12^2 Output: 3119882982860264400 51145622669840400 6239765965720528802 3119882982860264401 144 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host roam143-217.student.harvard.edu. (140.247.143.217) Time: Mon Dec 15 00:19:59 2003 Input: 2*3119882982860264400 61*51145622669840400 226153980^2 2*3119882982860264401 1766319049^2 12^2 Output: 6239765965720528800 3119882982860264400 51145622669840400 6239765965720528802 3119882982860264401 144 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (220.73.165.141) Time: Mon Dec 15 04:43:52 2003 Input: er32r32r32 Output: er32r32r32 Errors (if any) and Timing Info: Timing: real 0m0.129s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (220.73.165.141) Time: Mon Dec 15 04:43:57 2003 Input: er32r32r32 Output: er32r32r32 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cd4402709.cable.wanadoo.nl. (212.64.39.9) Time: Mon Dec 15 16:56:48 2003 Input: 2^66 Output: 73786976294838206464 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host fw.math.ku.dk. (130.225.103.21) Time: Wed Dec 17 09:06:00 2003 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host fw.math.ku.dk. (130.225.103.21) Time: Wed Dec 17 09:08:39 2003 Input: print 2^5; Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fw.math.ku.dk. (130.225.103.21) Time: Wed Dec 17 09:09:03 2003 Input: print 2+6; Output: Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (208.253.20.58) Time: Wed Dec 17 17:41:02 2003 Input: (1+(2*(-(x^2)+x^8)))^24 Output: 16777216*x^192 - 402653184*x^186 + 201326592*x^184 + 4630511616*x^180 - 4630511616*x^178 + 1157627904*x^176 - 33957085184*x^174 + 50935627776*x^172 - 25467813888*x^170 + 182519332864*x^168 - 356549394432*x^166 + 267412045824*x^164 - 802236137472*x^162 + 1793889140736*x^160 - 1782746972160*x^158 + 3149519650816*x^156 - 6997281865728*x^154 + 8490332454912*x^152 - 11452026978304*x^150 + 22440327512064*x^148 - 30908375629824*x^146 + 37778583715840*x^144 - 62058695491584*x^142 + 90184712454144*x^140 - 108945471438848*x^138 + 152742417924096*x^136 - 219020015960064*x^134 + 268633705021440*x^132 - 338041456558080*x^130 + 456596965490688*x^128 - 564235943804928*x^126 + 668370940723200*x^124 - 835720741650432*x^122 + 1017119575113728*x^120 - 1166798053441536*x^118 + 1358978068512768*x^116 - 1592456085241856*x^114 + 1783787978096640*x^112 - 1966482851364864*x^110 + 2189557495234560*x^108 - 2382935202988032*x^106 + 2520614358614016*x^104 - 2661444517101568*x^102 + 2787460288217088*x^100 - 2845212445114368*x^98 + 2862395318452224*x^96 - 2864098013872128*x^94 + 2816336366665728*x^92 - 2713827304865792*x^90 + 2587918114652160*x^88 - 2438975535710208*x^86 + 2254927959916544*x^84 - 2051263211864064*x^82 + 1844191673229312*x^80 - 1632046970109952*x^78 + 1417671754481664*x^76 - 1212846823981056*x^74 + 1022742300270592*x^72 - 847087220981760*x^70 + 688754387853312*x^68 - 550961489633280*x^66 + 433239388057344*x^64 - 334024157626368*x^62 + 252537545457664*x^60 - 187414622140416*x^58 + 136323519298560*x^56 - 96994198781952*x^54 + 67501947036672*x^52 - 45955015468032*x^50 + 30548775923968*x^48 - 19786651748352*x^46 + 12479463877632*x^44 - 7659169244672*x^42 + 4563140254464*x^40 - 2631007368192*x^38 + 1465340960512*x^36 - 786945772800*x^34 + 405954571296*x^32 - 200031163392*x^30 + 93651807744*x^28 - 41462680704*x^26 + 17230429760*x^24 - 6631948800*x^22 + 2319455424*x^20 - 721175488*x^18 + 195082320*x^16 - 44981376*x^14 + 8662720*x^12 - 1362336*x^10 + 170064*x^8 - 16192*x^6 + 1104*x^4 - 48*x^2 + 1 Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host 2(SERVFAIL) (208.253.20.58) Time: Wed Dec 17 17:56:15 2003 Input: ((1+(2*(-(x^2)+x^8)))^16)*(x^2)*(2*(1+(x^2)+(x^6)+(x^12)))^8 Output: 16777216*x^226 - 134217728*x^220 + 134217728*x^218 + 134217728*x^216 + 469762048*x^214 - 939524096*x^212 - 704643072*x^210 + 3288334336*x^206 + 1811939328*x^204 - 5167382528*x^202 - 6442450944*x^200 - 905969664*x^198 + 20434649088*x^196 + 7075790848*x^194 - 13153337344*x^192 - 43687870464*x^190 - 117440512*x^188 + 63359156224*x^186 + 55062822912*x^184 - 30828134400*x^182 - 160482459648*x^180 - 27009220608*x^178 + 133395644416*x^176 + 253478567936*x^174 - 53758394368*x^172 - 365825097728*x^170 - 238932721664*x^168 + 221478125568*x^166 + 684588007424*x^164 + 66442362880*x^162 - 588477628416*x^160 - 860562128896*x^158 + 225703886848*x^156 + 1207571054592*x^154 + 671444107264*x^152 - 676063084544*x^150 - 1801246474240*x^148 - 194017886208*x^146 + 1456095625216*x^144 + 1875382370304*x^142 - 369792647168*x^140 - 2456027004928*x^138 - 1308591915008*x^136 + 1111805526016*x^134 + 3022343503872*x^132 + 533196816384*x^130 - 2179746758656*x^128 - 2656664027136*x^126 + 172436160512*x^124 + 3127479599104*x^122 + 1726455349248*x^120 - 1037446316032*x^118 - 3190836461568*x^116 - 891219746816*x^114 + 2014416273408*x^112 + 2372415094784*x^110 + 200829124608*x^108 - 2451209363456*x^106 - 1445012602880*x^104 + 575440904192*x^102 + 2029948297216*x^100 + 802023604480*x^98 - 1158674055168*x^96 - 1263743401984*x^94 - 246921558016*x^92 + 1140855324672*x^90 + 711258376192*x^88 - 241467677696*x^86 - 729543901184*x^84 - 359956072448*x^82 + 422698938368*x^80 + 378505845760*x^78 + 61765623808*x^76 - 300361037312*x^74 - 189740832768*x^72 + 100027361280*x^70 + 137251172352*x^68 + 64623127552*x^66 - 93872388096*x^64 - 61367228416*x^62 + 13980366848*x^60 + 39683241472*x^58 + 22634020864*x^56 - 25941608448*x^54 - 12094480384*x^52 + 1919378176*x^50 + 8792211456*x^48 + 4115268608*x^46 - 5696008192*x^44 - 1339649024*x^42 + 204015616*x^40 + 1848644608*x^38 + 377542656*x^36 - 1354178048*x^34 + 129239040*x^32 + 293380096*x^30 + 128708608*x^28 - 157118976*x^26 - 93206528*x^24 + 136678400*x^22 - 29667328*x^20 - 29092608*x^18 + 21626880*x^16 - 4286464*x^14 - 1548288*x^12 + 1236480*x^10 - 376832*x^8 + 64512*x^6 - 6144*x^4 + 256*x^2 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (208.253.20.58) Time: Wed Dec 17 18:00:02 2003 Input: ((1+(2*(-(x^2)+x^8)))^8)*(x^4)*(2*(1+(x^2)+(x^6)+(x^12)))^16 Output: 16777216*x^260 + 134217728*x^254 + 67108864*x^252 + 268435456*x^250 + 603979776*x^248 + 603979776*x^246 + 1996488704*x^244 + 2818572288*x^242 + 5033164800*x^240 + 8690597888*x^238 + 12096372736*x^236 + 23957864448*x^234 + 33034338304*x^232 + 52965670912*x^230 + 82818629632*x^228 + 110394081280*x^226 + 180153745408*x^224 + 245626830848*x^222 + 351293931520*x^220 + 497142464512*x^218 + 644131848192*x^216 + 925108273152*x^214 + 1184411680768*x^212 + 1580053037056*x^210 + 2065195597824*x^208 + 2509588398080*x^206 + 3304573632512*x^204 + 3981321437184*x^202 + 4922467680256*x^200 + 5990756909056*x^198 + 6843845902336*x^196 + 8305879547904*x^194 + 9314508996608*x^192 + 10790032637952*x^190 + 12222063443968*x^188 + 12909355728896*x^186 + 14603661082624*x^184 + 15070629199872*x^182 + 16189014147072*x^180 + 17109985787904*x^178 + 16453603950592*x^176 + 17211347435520*x^174 + 15835534196736*x^172 + 15742641635328*x^170 + 15360339214336*x^168 + 12673773207552*x^166 + 12470543974400*x^164 + 9030373212160*x^162 + 7880243675136*x^160 + 7377284759552*x^158 + 3946810441728*x^156 + 4043309056000*x^154 + 284401074176*x^152 - 391911571456*x^150 + 334729183232*x^148 - 1966042251264*x^146 + 257206779904*x^144 - 2871121674240*x^142 - 3025322639360*x^140 - 640799473664*x^138 - 2100005175296*x^136 + 1411866689536*x^134 - 640533397504*x^132 - 1563748728832*x^130 + 310127362048*x^128 - 1049037373440*x^126 + 2667686920192*x^124 + 1004967821312*x^122 - 721017110528*x^120 + 479113248768*x^118 - 1824808108032*x^116 + 1376422723584*x^114 + 1492359577600*x^112 - 537074335744*x^110 + 100501291008*x^108 - 1900064800768*x^106 - 17116954624*x^104 + 1055614042112*x^102 + 174572371968*x^100 + 696422236160*x^98 - 1373408067584*x^96 - 637577199616*x^94 + 738467250176*x^92 + 114702680064*x^90 + 867025551360*x^88 - 241053990912*x^86 - 890054115328*x^84 + 73503080448*x^82 + 77220806656*x^80 + 469064744960*x^78 + 183506305024*x^76 - 368587046912*x^74 - 148800798720*x^72 - 173944078336*x^70 + 202099523584*x^68 + 289659682816*x^66 - 135320305664*x^64 - 37030461440*x^62 - 74941726720*x^60 - 95041880064*x^58 + 157343023104*x^56 + 47160754176*x^54 - 57841680384*x^52 + 7160725504*x^50 - 40285765632*x^48 - 12624855040*x^46 + 43986452480*x^44 + 3288334336*x^42 - 9116319744*x^40 + 601882624*x^38 - 7608139776*x^36 - 579862528*x^34 + 5646581760*x^32 + 155189248*x^30 - 1115160576*x^28 - 19922944*x^26 - 395313152*x^24 + 1048576*x^22 + 316538880*x^20 - 96468992*x^16 + 16515072*x^12 - 1572864*x^8 + 65536*x^4 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (208.253.20.58) Time: Wed Dec 17 18:11:00 2003 Input: (x^6)*(2*(1+(x^2)+(x^6)+(x^12)))^24 Output: 16777216*x^294 + 402653184*x^288 + 402653184*x^284 + 5033164800*x^282 + 9261023232*x^278 + 43218108416*x^276 + 4630511616*x^274 + 111132278784*x^272 + 284776464384*x^270 + 101871255552*x^268 + 916841299968*x^266 + 1562025918464*x^264 + 1171519438848*x^262 + 5806661566464*x^260 + 7640344166400*x^258 + 9270284255232*x^256 + 30128423829504*x^254 + 35043711909888*x^252 + 56334804320256*x^250 + 134062572306432*x^248 + 153592140922880*x^246 + 279534725234688*x^244 + 529781464498176*x^242 + 637170746392576*x^240 + 1179108847386624*x^238 + 1908150487744512*x^236 + 2455317979856896*x^234 + 4353060620992512*x^232 + 6369423849947136*x^230 + 8671222619439104*x^228 + 14379229592420352*x^226 + 19862653665017856*x^224 + 27930731309170688*x^222 + 43211239823769600*x^220 + 57965526965551104*x^218 + 82169891867590656*x^216 + 119560855263117312*x^214 + 158098502348439552*x^212 + 221777579009376256*x^210 + 307040075366006784*x^208 + 402299106191474688*x^206 + 552134098609504256*x^204 + 735397235184893952*x^202 + 954195146340040704*x^200 + 1274396240095739904*x^198 + 1647063424435224576*x^196 + 2109896933467226112*x^194 + 2738552567221977088*x^192 + 3453992951787552768*x^190 + 4353418698455777280*x^188 + 5496169372143583232*x^186 + 6786248539996422144*x^184 + 8392953467051704320*x^182 + 10324350143364595712*x^180 + 12496769474843639808*x^178 + 15138907382945415168*x^176 + 18177110845719314432*x^174 + 21575080567193468928*x^172 + 25577738066303385600*x^170 + 30018150794629480448*x^168 + 34930022053677367296*x^166 + 40510940907023892480*x^164 + 46514703358431854592*x^162 + 53040010020180197376*x^160 + 60176260339410665472*x^158 + 67632458978572632064*x^156 + 75538622346877206528*x^154 + 83843145836166905856*x^152 + 92252288471707680768*x^150 + 100881144573931290624*x^148 + 109547220804575428608*x^146 + 117991540543157436416*x^144 + 126280145461410004992*x^142 + 134150195468480544768*x^140 + 141405178760362196992*x^138 + 148058390378657611776*x^136 + 153839672542749523968*x^134 + 158633476854539878400*x^132 + 162428043461828542464*x^130 + 165016424385318223872*x^128 + 166374220381166764032*x^126 + 166507080490640474112*x^124 + 165317022928192143360*x^122 + 162869931595534434304*x^120 + 159222208528543383552*x^118 + 154393657305974439936*x^116 + 148523911845660065792*x^114 + 141726826286259634176*x^112 + 134113074981371904000*x^110 + 125863079146634084352*x^108 + 117125929304730894336*x^106 + 108053757974431137792*x^104 + 98825463957165178880*x^102 + 89586777813877260288*x^100 + 80479046965087174656*x^98 + 71641212761912901632*x^96 + 63179709692503916544*x^94 + 55188020342839836672*x^92 + 47743190344033894400*x^90 + 40894036107709120512*x^88 + 34673548446652170240*x^86 + 29096695788715638784*x^84 + 24158155600425910272*x^82 + 19840268697587417088*x^80 + 16113163400489467904*x^78 + 12936284083926859776*x^76 + 10263481548011470848*x^74 + 8044247132867133440*x^72 + 6225811560531492864*x^70 + 4756067290196213760*x^68 + 3584626045254369280*x^66 + 2664106921706913792*x^64 + 1951360671811633152*x^62 + 1407797897163964416*x^60 + 999676638432067584*x^58 + 698201451326865408*x^56 + 479236754948227072*x^54 + 322970397098115072*x^52 + 213492002375860224*x^50 + 138264489941270528*x^48 + 87614875748007936*x^46 + 54243489315028992*x^44 + 32755735989321728*x^42 + 19254815666208768*x^40 + 10993169130848256*x^38 + 6079729010475008*x^36 + 3246655436488704*x^34 + 1667743585665024*x^32 + 820265034448896*x^30 + 384063894454272*x^28 + 169972189888512*x^26 + 70470212780032*x^24 + 27059552256000*x^22 + 9483287789568*x^20 + 2976278118400*x^18 + 814970044416*x^16 + 187535720448*x^14 + 34359738368*x^12 + 4630511616*x^10 + 402653184*x^8 + 16777216*x^6 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host amat72.us.es. (150.214.148.72) Time: Thu Dec 18 04:16:43 2003 Input: 2^35 Output: 34359738368 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host com2pc6.postech.ac.kr. (141.223.34.207) Time: Thu Dec 18 04:47:12 2003 Input: j( Output: Errors (if any) and Timing Info: *** unexpected character: j( ^ Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host koch.mat.uniroma3.it. (193.204.165.149) Time: Thu Dec 18 08:55:21 2003 Input: 2*2; Output: Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host koch.mat.uniroma3.it. (193.204.165.149) Time: Thu Dec 18 08:55:29 2003 Input: 2 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host koch.mat.uniroma3.it. (193.204.165.149) Time: Thu Dec 18 08:55:35 2003 Input: 2+1 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host koch.mat.uniroma3.it. (193.204.165.149) Time: Thu Dec 18 08:55:51 2003 Input: gcd(2,3) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host koch.mat.uniroma3.it. (193.204.165.149) Time: Thu Dec 18 08:56:00 2003 Input: gcd(24,36) Output: 12 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host koch.mat.uniroma3.it. (193.204.165.149) Time: Thu Dec 18 08:56:50 2003 Input: gcd(24,36) Output: 12 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host c-67-167-40-134.client.comcast.net. (67.167.40.134) Time: Thu Dec 18 13:12:46 2003 Input: prod(i=1,10,i^2) Output: 13168189440000 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-67-167-40-134.client.comcast.net. (67.167.40.134) Time: Thu Dec 18 13:13:21 2003 Input: hilbert(3) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: hilbert(3) ^- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host hal.reed.edu. (134.10.15.54) Time: Thu Dec 18 13:15:50 2003 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host ts23-a184.Moscow.dial.rol.ru. (212.46.254.184) Time: Thu Dec 18 19:00:52 2003 Input: 3462346256745357586784674865678456783568358656 Output: 3462346256745357586784674865678456783568358656 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ts23-a184.Moscow.dial.rol.ru. (212.46.254.184) Time: Thu Dec 18 19:02:03 2003 Input: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609 Output: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ts23-a184.Moscow.dial.rol.ru. (212.46.254.184) Time: Thu Dec 18 19:02:46 2003 Input: 31074182404900437213507500358885679300373460228427275457201619488232064405180815 Output: 31074182404900437213507500358885679300373460228427275457201619488232064405180815 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145) Time: Thu Dec 18 20:54:35 2003 Input: polgalois(x^3+x+1) Output: [6, -1, 1] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145) Time: Thu Dec 18 20:55:00 2003 Input: polgalois(x^6+x+1) Output: [720, -1, 1] Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145) Time: Thu Dec 18 20:55:08 2003 Input: polgalois(x^8+x+1) Output: Errors (if any) and Timing Info: *** sorry, galois of reducible polynomial is not yet implemented. Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host aa2003061328010.userreverse.dion.ne.jp. (61.204.35.145) Time: Thu Dec 18 20:55:16 2003 Input: polgalois(x^8+x+5) Output: [40320, -1, 50] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.244.59.106) Time: Thu Dec 18 23:53:30 2003 Input: 1/x+1/(x+y) Output: (2*x + y)/(x^2 + y*x) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.244.56.6) Time: Fri Dec 19 00:02:19 2003 Input: (x+y)^5 Output: x^5 + 5*y*x^4 + 10*y^2*x^3 + 10*y^3*x^2 + 5*y^4*x + y^5 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host charybdis.suse.de. (195.135.221.2) Time: Fri Dec 19 05:17:22 2003 Input: factor(2^30-1) Output: [3 2] [7 1] [11 1] [31 1] [151 1] [331 1] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (211.138.102.93) Time: Fri Dec 19 22:43:46 2003 Input: (x+y)^2 Output: x^2 + 2*y*x + y^2 Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ad4-m118.net.hinet.hr. (195.29.132.118) Time: Sat Dec 20 02:27:21 2003 Input: ?qflll Output: qflll(x,{flag=0}): LLL reduction of the vectors forming the matrix x (gives the unimodular transformation matrix). flag is optional, and can be 0: default, 1: lllint algorithm for integer matrices, 2: lllintpartial algorithm for integer matrices, 3: lllrat for rational matrices, 4: lllkerim giving the kernel and the LLL reduced image, 5: lllkerimgen same but if the matrix has polynomial coefficients, 7: lll1, old version of qflll, 8: lllgen, same as qflll when the coefficients are polynomials, 9: lllint algorithm for integer matrices using content. Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ad4-m118.net.hinet.hr. (195.29.132.118) Time: Sat Dec 20 02:28:56 2003 Input: x=[[2,5],[3,8]]: qflll(x) Output: Errors (if any) and Timing Info: *** incorrect type in lll_proto. Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ad4-m118.net.hinet.hr. (195.29.132.118) Time: Sat Dec 20 02:29:13 2003 Input: x=[[2,5],[3,8]] Output: [[2, 5], [3, 8]] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ad4-m118.net.hinet.hr. (195.29.132.118) Time: Sat Dec 20 02:29:34 2003 Input: x=[[2,5],[3,8]]; qflll(x,1); Output: Errors (if any) and Timing Info: *** incorrect type in lll_proto. Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (213.190.141.186) Time: Sat Dec 20 11:19:30 2003 Input: A := AffineSpace(Rationals(),2); C := Curve(A,x^2-y^3); p := Origin(A); IsCusp(C,p); IsDoublePoint(C,p); IsReduced(TangentCone(C,p)); D := Curve(A,x^2 - y^3 - y^2); IsAnalyticallyIrreducible(D,p); IsNode(D,p); Output: Errors (if any) and Timing Info: *** unused characters: A:=AffineSpace(Rat ^-------------------- *** unexpected character: C:=Curve(A,x^2-y^3); ^------------------ *** unexpected character: p:=Origin(A); ^----------- *** expected character: '=' instead of: IsCusp(C,p); ^- *** expected character: '=' instead of: IsDoublePoint(C,p); ^- *** unknown function or error in formal parameters: IsReduced( *** TangentCone(C,p)); ^------------------ *** unexpected character: D:=Curve(A,x^2-y^3-y^2 ^-------------------- *** expected character: '=' instead of: ...lyticallyIrreducible(D,p); ^- *** expected character: '=' instead of: IsNode(D,p); ^- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 61-222-31-134.HINET-IP.hinet.net. (61.222.31.134) Time: Sat Dec 20 12:21:01 2003 Input: 1/sin(Pi/3)+1 Output: 2.154700538379251529018297561 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (62.248.73.142) Time: Sat Dec 20 18:41:51 2003 Input: F:=GF(2); t:=2^201; K:=GF(NextPrime(t)); K; //SetVerbose("SEA",5); //SetVerbose("ECPointCount",5); E:=EllipticCurveFromjInvariant(K!3); Order(E); Output: Errors (if any) and Timing Info: *** unexpected character: F:=GF(2); ^------- *** unexpected character: t:=2^201; ^------- *** unexpected character: K:=GF(NextPrime(t)); ^------------------ *** unexpected character: //SetVerbose("SEA",5 ^-------------------- *** unexpected character: //SetVerbose("ECPoin ^-------------------- *** unexpected character: E:=EllipticCurveFromjI ^-------------------- *** expected character: '=' instead of: Order(E); ^- Timing: real 0m0.075s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host wbar1.sjo1-4-4-001-026.sjo1.dsl-verizon.net. (4.4.1.26) Time: Sat Dec 20 19:47:52 2003 Input: (x+1)^45 Output: x^45 + 45*x^44 + 990*x^43 + 14190*x^42 + 148995*x^41 + 1221759*x^40 + 8145060*x^39 + 45379620*x^38 + 215553195*x^37 + 886163135*x^36 + 3190187286*x^35 + 10150595910*x^34 + 28760021745*x^33 + 73006209045*x^32 + 166871334960*x^31 + 344867425584*x^30 + 646626422970*x^29 + 1103068603890*x^28 + 1715884494940*x^27 + 2438362177020*x^26 + 3169870830126*x^25 + 3773655750150*x^24 + 4116715363800*x^23 + 4116715363800*x^22 + 3773655750150*x^21 + 3169870830126*x^20 + 2438362177020*x^19 + 1715884494940*x^18 + 1103068603890*x^17 + 646626422970*x^16 + 344867425584*x^15 + 166871334960*x^14 + 73006209045*x^13 + 28760021745*x^12 + 10150595910*x^11 + 3190187286*x^10 + 886163135*x^9 + 215553195*x^8 + 45379620*x^7 + 8145060*x^6 + 1221759*x^5 + 148995*x^4 + 14190*x^3 + 990*x^2 + 45*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host wbar1.sjo1-4-4-001-026.sjo1.dsl-verizon.net. (4.4.1.26) Time: Sat Dec 20 19:48:20 2003 Input: (x+y)^100 Output: x^100 + 100*y*x^99 + 4950*y^2*x^98 + 161700*y^3*x^97 + 3921225*y^4*x^96 + 75287520*y^5*x^95 + 1192052400*y^6*x^94 + 16007560800*y^7*x^93 + 186087894300*y^8*x^92 + 1902231808400*y^9*x^91 + 17310309456440*y^10*x^90 + 141629804643600*y^11*x^89 + 1050421051106700*y^12*x^88 + 7110542499799200*y^13*x^87 + 44186942677323600*y^14*x^86 + 253338471349988640*y^15*x^85 + 1345860629046814650*y^16*x^84 + 6650134872937201800*y^17*x^83 + 30664510802988208300*y^18*x^82 + 132341572939212267400*y^19*x^81 + 535983370403809682970*y^20*x^80 + 2041841411062132125600*y^21*x^79 + 7332066885177656269200*y^22*x^78 + 24865270306254660391200*y^23*x^77 + 79776075565900368755100*y^24*x^76 + 242519269720337121015504*y^25*x^75 + 699574816500972464467800*y^26*x^74 + 1917353200780443050763600*y^27*x^73 + 4998813702034726525205100*y^28*x^72 + 12410847811948286545336800*y^29*x^71 + 29372339821610944823963760*y^30*x^70 + 66324638306863423796047200*y^31*x^69 + 143012501349174257560226775*y^32*x^68 + 294692427022540894366527900*y^33*x^67 + 580717429720889409486981450*y^34*x^66 + 1095067153187962886461165020*y^35*x^65 + 1977204582144932989443770175*y^36*x^64 + 3420029547493938143902737600*y^37*x^63 + 5670048986634686922786117600*y^38*x^62 + 9013924030034630492634340800*y^39*x^61 + 13746234145802811501267369720*y^40*x^60 + 20116440213369968050635175200*y^41*x^59 + 28258808871162574166368460400*y^42*x^58 + 38116532895986727945334202400*y^43*x^57 + 49378235797073715747364762200*y^44*x^56 + 61448471214136179596720592960*y^45*x^55 + 73470998190814997343905056800*y^46*x^54 + 84413487283064039501507937600*y^47*x^53 + 93206558875049876949581681100*y^48*x^52 + 98913082887808032681188722800*y^49*x^51 + 100891344545564193334812497256*y^50*x^50 + 98913082887808032681188722800*y^51*x^49 + 93206558875049876949581681100*y^52*x^48 + 84413487283064039501507937600*y^53*x^47 + 73470998190814997343905056800*y^54*x^46 + 61448471214136179596720592960*y^55*x^45 + 49378235797073715747364762200*y^56*x^44 + 38116532895986727945334202400*y^57*x^43 + 28258808871162574166368460400*y^58*x^42 + 20116440213369968050635175200*y^59*x^41 + 13746234145802811501267369720*y^60*x^40 + 9013924030034630492634340800*y^61*x^39 + 5670048986634686922786117600*y^62*x^38 + 3420029547493938143902737600*y^63*x^37 + 1977204582144932989443770175*y^64*x^36 + 1095067153187962886461165020*y^65*x^35 + 580717429720889409486981450*y^66*x^34 + 294692427022540894366527900*y^67*x^33 + 143012501349174257560226775*y^68*x^32 + 66324638306863423796047200*y^69*x^31 + 29372339821610944823963760*y^70*x^30 + 12410847811948286545336800*y^71*x^29 + 4998813702034726525205100*y^72*x^28 + 1917353200780443050763600*y^73*x^27 + 699574816500972464467800*y^74*x^26 + 242519269720337121015504*y^75*x^25 + 79776075565900368755100*y^76*x^24 + 24865270306254660391200*y^77*x^23 + 7332066885177656269200*y^78*x^22 + 2041841411062132125600*y^79*x^21 + 535983370403809682970*y^80*x^20 + 132341572939212267400*y^81*x^19 + 30664510802988208300*y^82*x^18 + 6650134872937201800*y^83*x^17 + 1345860629046814650*y^84*x^16 + 253338471349988640*y^85*x^15 + 44186942677323600*y^86*x^14 + 7110542499799200*y^87*x^13 + 1050421051106700*y^88*x^12 + 141629804643600*y^89*x^11 + 17310309456440*y^90*x^10 + 1902231808400*y^91*x^9 + 186087894300*y^92*x^8 + 16007560800*y^93*x^7 + 1192052400*y^94*x^6 + 75287520*y^95*x^5 + 3921225*y^96*x^4 + 161700*y^97*x^3 + 4950*y^98*x^2 + 100*y^99*x + y^100 Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host ool-182dcc14.dyn.optonline.net. (24.45.204.20) Time: Sat Dec 20 21:05:40 2003 Input: 4x=9 Output: Errors (if any) and Timing Info: *** unused characters: 4x=9 ^--- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host d66-183-107-98.bchsia.telus.net. (66.183.107.98) Time: Sat Dec 20 21:37:07 2003 Input: 2^200 Output: 1606938044258990275541962092341162602522202993782792835301376 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Sun Dec 21 02:06:59 2003 Input: P:= FunctionField(GF(5)); Q:= PolynomialRing(P); f:=x^6+x+t^2; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(5 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+x+t^2; ^----------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Sun Dec 21 02:10:55 2003 Input: P:= FunctionField(GF(5)); Q:= PolynomialRing(P); f:=x^6+3*t*x+1; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(5 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+3*t*x+1; ^------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105) Time: Sun Dec 21 02:13:37 2003 Input: P:= FunctionField(GF(5)); Q:= PolynomialRing(P); f:=x^6+4*t*x+4; print(f); G, R:= GaloisGroup(f); print(G); t1, t2:= TransitiveGroupIdentification(G); print(t1); print(t2); Output: f G t1 t2 Errors (if any) and Timing Info: *** unexpected character: P:=FunctionField(GF(5 ^-------------------- *** unexpected character: Q:=PolynomialRing(P); ^-------------------- *** unexpected character: f:=x^6+4*t*x+4; ^------------- *** unused characters: G,R:=GaloisGroup(f); ^------------------- *** unused characters: t1,t2:=TransitiveGroup ^-------------------- Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:16:36 2003 Input: contfrac(sqrt(8)) Output: [2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:17:23 2003 Input: contfrac((5+sqrt(7))/2) Output: [3, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 2, 3, 1, 1, 1, 1, 2, 6, 1, 4, 1, 3, 2] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:19:18 2003 Input: ((5+sqrt(7))/2) Output: 3.822875655532295295250807876 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:20:20 2003 Input: (2 / (sqrt(7) -1)) Output: 1.215250437021530196833871917 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:22:27 2003 Input: (3 / (sqrt(7) -2 )) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (3/(sqrt(7)-2 ^ *** unused characters: )) ^-- Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:22:30 2003 Input: (3 / (sqrt(7) -2)) Output: 4.645751311064590590501615753 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:24:02 2003 Input: contfrac((5 + sqrt(7)) 2) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: contfrac((5+sqrt(7))2) ^-- Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:24:10 2003 Input: contfrac((5 + sqrt(7))/ 2) Output: [3, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 2, 3, 1, 1, 1, 1, 2, 6, 1, 4, 1, 3, 2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:32:58 2003 Input: contfrac((5+sqrt(6))/3) Output: [2, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 41, 4, 2, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:33:16 2003 Input: contfrac((7+sqrt(6))/3) Output: [3, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 2, 1, 6, 1, 2, 14, 3, 2, 4, 4, 27, 2, 3] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:33:26 2003 Input: contfrac((7+sqrt(8))/3) Output: [3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 4, 43, 3, 71, 2] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:35:52 2003 Input: contfrac((4+sqrt(32))/8) Output: [1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:37:28 2003 Input: contfrac((6+sqrt(60))/6) Output: [2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:37:47 2003 Input: contfrac((2+sqrt(15))/19) Output: [0, 3, 4, 3, 1, 23, 1, 3, 4, 13, 6, 1, 13, 1, 6, 13, 4, 3, 1, 23, 1, 3, 4, 13] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:38:12 2003 Input: contfrac((2+sqrt(27))/19) Output: [0, 2, 1, 1, 1, 3, 1, 1, 4, 1, 3, 2, 8, 1, 1, 7, 15, 17, 1, 7, 1, 1, 1, 3, 1, 1, 4, 1, 3, 2, 8, 1, 1, 7] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:38:34 2003 Input: contfrac((5+sqrt(27))/19) Output: [0, 1, 1, 6, 3, 10, 1, 1, 1, 6, 1, 1, 1, 10, 3, 6, 1, 97, 1, 6, 3, 10, 1, 1, 1, 6, 1, 1, 1, 10] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host syr-24-59-60-208.twcny.rr.com. (24.59.60.208) Time: Sun Dec 21 18:39:08 2003 Input: contfrac((5+sqrt(27))/7) Output: [1, 2, 5, 3, 1, 5, 1, 5, 1, 3, 5, 2, 1, 35, 1, 2, 5, 3, 1, 5, 1, 5, 1, 3, 5, 2, 1, 35, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (203.77.201.104) Time: Mon Dec 22 11:36:39 2003 Input: 2*2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host core-dr00.proxy.nacamar.net. (194.162.162.68) Time: Tue Dec 23 09:09:57 2003 Input: H := HammingCode(FiniteField(4), 3); H; ParityCheckMatrix(H); Output: Errors (if any) and Timing Info: *** unexpected character: H:=HammingCode(FiniteF ^-------------------- *** expected character: '=' instead of: ParityCheckMatrix(H); ^- Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host wisdom.math.buffalo.edu. (128.205.113.113) Time: Tue Dec 23 09:39:14 2003 Input: 2^10 Output: 1024 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host wisdom.math.buffalo.edu. (128.205.113.113) Time: Tue Dec 23 09:45:11 2003 Input: cos(2 Pi / 7) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: cos(2Pi/7) ^----- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host proxy-out.netissat.net. (212.72.193.94) Time: Tue Dec 23 14:27:00 2003 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 82-35-66-245.cable.ubr01.dals.blueyonder.co.uk. (82.35.66.245) Time: Tue Dec 23 19:05:04 2003 Input: print "erdos"; for a:=1000 to 1020 do M:=ModularSymbols(a); end for; Output: Errors (if any) and Timing Info: *** unused characters: print"erdos"; ^-------- *** unexpected character: fora:=1000to1020do ^------------- *** unexpected character: M:=ModularSymbols(a); ^------------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host user-0ccetfe.cable.mindspring.com. (24.199.117.238) Time: Wed Dec 24 22:35:36 2003 Input: nextprime(10) Output: 11 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host user-0ccetfe.cable.mindspring.com. (24.199.117.238) Time: Wed Dec 24 22:35:44 2003 Input: nextprime(10^100) Output: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000267 Errors (if any) and Timing Info: Timing: real 0m0.179s user 0m0.160s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (62.167.239.81) Time: Sun Dec 28 05:40:13 2003 Input: e=ellinit([1,0,0,0,1]); P=[0,1];Q=[1,1]; matdet(ellheightmatrix(e,[P,Q])) Output: 0.2246941634181667416120711340 Errors (if any) and Timing Info: Timing: real 0m0.075s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host as5800-90-236.access.naxs.com. (216.98.90.236) Time: Tue Dec 30 10:47:39 2003 Input: GYCBJJYVFTBJFT Output: GYCBJJYVFTBJFT Errors (if any) and Timing Info: Timing: real 0m0.075s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.161) Time: Wed Dec 31 15:41:51 2003 Input: PrintBinaryPrimitivePentanomials(521,0); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: PrintBinaryPrimitive ^-------------------- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.161) Time: Wed Dec 31 15:42:56 2003 Input: 31 Output: 31 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.161) Time: Wed Dec 31 15:43:17 2003 Input: trinomial 31 Output: trinomial31 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.161) Time: Wed Dec 31 15:46:29 2003 Input: trinomial 31 Output: trinomial31 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.156) Time: Thu Jan 1 10:04:20 2004 Input: PrintBinaryPrimitivePentanomials(521,0); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: PrintBinaryPrimitive ^-------------------- Timing: real 0m0.068s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.156) Time: Thu Jan 1 10:04:39 2004 Input: PrintBinaryPrimitivePentanomials(21,0); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: PrintBinaryPrimitive ^-------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pi.wien.rhno.columbia.edu. (160.39.208.120) Time: Thu Jan 1 22:15:54 2004 Input: Pi Output: 3.141592653589793238462643383 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pi.wien.rhno.columbia.edu. (160.39.208.120) Time: Thu Jan 1 22:16:05 2004 Input: /p27 Output: Errors (if any) and Timing Info: *** unexpected character: /p27 ^---- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ds10.internetdsl.tpnet.pl. (80.53.254.10) Time: Fri Jan 2 06:20:44 2004 Input: http://www.frenchfries.net/paul/factoring/theory/index.html Output: Errors (if any) and Timing Info: *** unexpected character: http://www.frenchfries.ne ^-------------------- Timing: real 0m0.113s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host h68-147-114-138.cg.shawcable.net. (68.147.114.138) Time: Fri Jan 2 21:01:41 2004 Input: isPrime(51); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: isPrime(51); ^------------ Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h68-147-114-138.cg.shawcable.net. (68.147.114.138) Time: Fri Jan 2 21:02:18 2004 Input: NextPrime(12); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: NextPrime(12); ^-------------- Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ppp-62-10-141-79.dialup.tiscali.it. (62.10.141.79) Time: Fri Jan 2 21:08:18 2004 Input: (100+10)/10 Output: 11 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host R1.softjoys.com. (212.113.101.45) Time: Sat Jan 3 07:00:39 2004 Input: R := FunctionField(GF(5)); Output: Errors (if any) and Timing Info: *** unexpected character: R:=FunctionField(GF(5 ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pcp486497pcs.howard01.md.comcast.net. (68.55.18.94) Time: Sat Jan 3 08:18:48 2004 Input: 2 + 3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pcp486497pcs.howard01.md.comcast.net. (68.55.18.94) Time: Sat Jan 3 08:19:13 2004 Input: 2 + 3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host kar2-t1-1.mcbone.net. (62.104.221.64) Time: Sat Jan 3 16:15:31 2004 Input: nextprime(499999999999999999711) Output: 499999999999999999727 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dialup-67.72.215.69.Dial1.Detroit1.Level3.net. (67.72.215.69) Time: Sun Jan 4 03:55:25 2004 Input: 10! Output: 3628800 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host R1.softjoys.com. (212.113.101.45) Time: Mon Jan 5 05:58:27 2004 Input: > A := AffineSpace(FiniteField(5),2); > f:=x^3*y+y^3+x; > C:=Curve(A,f); > C; Curve over GF(5) defined by x^3*y + x + y^3 > D := ProjectiveClosure(C); > > D; Curve over GF(5) defined by X^3*Y + X*Z^3 + Y^3*Z Output: y*x^3 + x + y^3 Y*X^3 + Z^3*X + Z*Y^3 Errors (if any) and Timing Info: *** unexpected character: >A:=AffineSpace ^-------------------- *** unexpected character: >f:=x^3*y+y^3+x; ^---------------- *** unexpected character: >C:=Curve(A,f); ^--------------- *** unexpected character: >C; ^--- *** unused characters: CurveoverGF(5)definedby ^--------- *** unexpected character: >D:=Projectiv ^-------------------- *** unexpected character: > ^- *** unexpected character: >D; ^--- *** unused characters: CurveoverGF(5)definedby ^--------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (199.111.119.60) Time: Mon Jan 5 12:06:56 2004 Input: EllipticCurve(1,2,3,1,1); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: EllipticCurve(1,2,3, ^-------------------- Timing: real 0m0.074s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ip-64-139-40-66.dsl.sjc.megapath.net. (64.139.40.66) Time: Mon Jan 5 13:39:25 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9EC1782.dip.t-dialin.net. (217.236.23.130) Time: Mon Jan 5 16:06:01 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host aybabtu.matrox.com. (138.11.254.204) Time: Tue Jan 6 10:23:38 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host aybabtu.matrox.com. (138.11.254.204) Time: Tue Jan 6 10:23:57 2004 Input: f(x) = x^2 f(2) Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 16:57:39 2004 Input: e=ellinit(2,123,5345,1232,212); elltors(e) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: e=ellinit(2,123,5345,1232,212); ^---------------- *** not a rational curve in ellintegralmodel. Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 16:57:57 2004 Input: e=ellinit([2,123,5345,1232,212]); elltors(e) Output: [1, [], []] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 16:58:58 2004 Input: e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000] elltors(e) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ...118411284184511350250000] ^ *** not a rational curve in ellintegralmodel. Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 16:59:28 2004 Input: e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]); elltors(e) Output: Errors (if any) and Timing Info: *** precision too low in torselldoud. Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 16:59:44 2004 Input: p 100 e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]); elltors(e) Output: p100 Errors (if any) and Timing Info: *** precision too low in torselldoud. Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 17:00:03 2004 Input: p100 e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]); elltors(e) Output: p100 Errors (if any) and Timing Info: *** precision too low in torselldoud. Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ad14-m35.net.hinet.hr. (195.29.49.35) Time: Tue Jan 6 17:00:16 2004 Input: p 100; e=ellinit([1,0,0,-3531474678706925407855636725500,2548317483638211729406118411284184511350250000]); elltors(e) Output: Errors (if any) and Timing Info: *** precision too low in torselldoud. Timing: real 0m0.061s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 82-35-62-113.cable.ubr04.camd.blueyonder.co.uk. (82.35.62.113) Time: Tue Jan 6 22:02:56 2004 Input: zeta(1.5) Output: 2.612375348685488343348567567 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host mcmail.muzo.com. (194.228.69.30) Time: Wed Jan 7 04:27:57 2004 Input: 321654*54654 Output: 17579677716 Errors (if any) and Timing Info: Timing: real 0m0.102s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host mcmail.muzo.com. (194.228.69.30) Time: Wed Jan 7 04:28:03 2004 Input: 321654*54654 Output: 17579677716 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host194-236.pool80207.interbusiness.it. (80.207.236.194) Time: Wed Jan 7 06:12:18 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host webcache02.mas.optusnet.com.au. (211.29.136.12) Time: Wed Jan 7 06:25:39 2004 Input: x**3; x=3: Output: Errors (if any) and Timing Info: *** unexpected character: x**3;x=3: ^------- Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host webcache02.mas.optusnet.com.au. (211.29.136.12) Time: Wed Jan 7 06:27:22 2004 Input: x*x*x; x=3; Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host webcache02.mas.optusnet.com.au. (211.29.136.12) Time: Wed Jan 7 06:27:52 2004 Input: 3+4 Output: 7 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (68.222.35.14) Time: Wed Jan 7 06:37:52 2004 Input: expand((x/y+y/x)*(x/y-y/x)) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: expand((x/y+y/x)*(x/ ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (68.222.35.14) Time: Wed Jan 7 06:38:07 2004 Input: (x/y+y/x)*(x/y-y/x) Output: (1/y^2*x^4 - y^2)/x^2 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (68.222.35.14) Time: Wed Jan 7 06:38:21 2004 Input: (x/y+y/x)^3*(x/y-y/x)^3 Output: (1/y^6*x^12 - 3/y^2*x^8 + 3*y^2*x^4 - y^6)/x^6 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host hilbert.math.ubc.ca. (137.82.36.63) Time: Wed Jan 7 14:47:25 2004 Input: e=ellinit([0,0,0,0,1]); elltors(e) Output: [6, [6], [[2, 3]]] Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:12:02 2004 Input: prime(100) Output: 541 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:12:20 2004 Input: prime(100) Output: 541 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:12:44 2004 Input: prime(99) Output: 523 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:16:59 2004 Input: /p500 Output: Errors (if any) and Timing Info: *** unexpected character: /p500 ^----- Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:17:39 2004 Input: p500 Output: p500 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:18:00 2004 Input: p 100 Output: p100 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:18:12 2004 Input: p100 Output: p100 Errors (if any) and Timing Info: Timing: real 0m0.098s user 0m0.040s sys 0m0.000s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:18:46 2004 Input: primes500 Output: primes500 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:19:01 2004 Input: primes500 Output: primes500 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:19:10 2004 Input: primes500 Output: primes500 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:19:32 2004 Input: primes(500) Output: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:21:46 2004 Input: p 100 Output: p100 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:21:56 2004 Input: p100 Output: p100 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:22:09 2004 Input: p(100) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: p(100) ^------ Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:22:58 2004 Input: nextprime(100000) Output: 100003 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:24:08 2004 Input: precprime(100000) Output: 99991 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:25:22 2004 Input: isprime(1345691) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:26:44 2004 Input: 5^989 Output: 19113238906945922641717033875943775633758032821692580344252709679021402336783884993626937898964604976324505393773040488943933184437330583446354346336336501887680730442512899077611419156191269509347338051507509516661565696303020724035690050992648501326043102798938654333326741795402976444866921736405868512382350313208780114493569604985910219351282275577143353204639528829073773581591935817020207217269107431845884822037339219992846942819727404943659210838315185528038293359657673254187369634343240651162950377247574792106436984116798372999750538729991936350778466238086273974348080694922586109038429578556199403698421220857891837186594626504637696733264473625268919931841082870960235595703125 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:28:29 2004 Input: ploth(n=1, 1000, pi(n)) Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:30:46 2004 Input: ploth(n=1, 1000, pi(n)) Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:31:26 2004 Input: plot(n=1, 1000, pi(n)) Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:32:18 2004 Input: ploth(n=1, 1000, pi(n)) Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:32:42 2004 Input: p (100) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: p(100) ^------ Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:32:56 2004 Input: p100 Output: p100 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:33:11 2004 Input: p(100) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: p(100) ^------ Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:33:32 2004 Input: pi 100 Output: pi100 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:33:41 2004 Input: pi (100) Output: Errors (if any) and Timing Info: *** obsolete function: pi(100) ^------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: pi ===> Pi Pi=Pi(): the constant pi, with current precision. Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:34:12 2004 Input: Pi=pi(100) Output: Errors (if any) and Timing Info: *** unexpected character: Pi=pi(100) ^-------- Timing: real 0m0.052s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:34:29 2004 Input: pi Output: pi Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:34:34 2004 Input: p Output: p Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:35:15 2004 Input: Pi=Pi(4) Output: Errors (if any) and Timing Info: *** unexpected character: Pi=Pi(4) ^------ Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:37:33 2004 Input: pi Output: pi Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:37:52 2004 Input: /p 500 Output: Errors (if any) and Timing Info: *** unexpected character: /p500 ^----- Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:37:59 2004 Input: p 500 Output: p500 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:39:34 2004 Input: pi=pi(500) Output: pi Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:41:40 2004 Input: ploth(n=1,100,pi(n)) Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed. ************** PARI ***************** Host 3(NXDOMAIN) (156.143.48.248) Time: Wed Jan 7 19:41:57 2004 Input: p Output: p Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:07:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:07:52 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:09:16 2004 Input: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593 Output: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.060s sys 0m0.000s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:09:38 2004 Input: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593; x Output: x Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:09:49 2004 Input: 2128245233564302430031257366421789228461921574720348824230534873351057826634639406085210237850202689401059544319634381003558581942932777252866846328396297244168328657083779803779797654869537888149433467615447598882384704569742040063816717170031287867397604260842241736216226346589861493563966240818826933840042195824519661986789174744524503954557571555351040239280816375415084324384230664256178017480910566727138190486286260099025384679609762680986437903034406112891014859593140379746842759991019033745717179143625002473133762706521092552409059764611127717630359411528975913795267991072529709660786249171207222515984659223760474087910129984123580008418743739434698357432298665072251061102964621400758709006604528074539482145617778162510391134189939578554473770921270219026739903184116833978004600421893880894326544295514776702296705922091524031721642309216206698915491994281297677291769939950769906972258855521277707940656999541288527121943245321152578562231091628364344535054527475834746758410162172769286483491727586708845938231966223783871439969977641887517315456090930539771141965767373805970434590836375963754830593; x Output: x Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:11:35 2004 Input: x Output: x Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:11:47 2004 Input: x=3 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:11:48 2004 Input: x=3 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:11:56 2004 Input: x=3; x+2 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:13:00 2004 Input: voir(123) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: voir(123) ^--------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:13:11 2004 Input: voir(123); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: voir(123); ^---------- Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:23:20 2004 Input: a Output: a Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:23:38 2004 Input: hex(30) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: hex(30) ^------- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:23:51 2004 Input: 30 Output: 30 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:23:56 2004 Input: x=30 Output: 30 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:24:01 2004 Input: x-2 Output: x - 2 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:27:30 2004 Input: s Output: s Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:27:36 2004 Input: s Output: s Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host h00055debf0ab.ne.client2.attbi.com. (24.128.50.6) Time: Thu Jan 8 01:27:45 2004 Input: vori Output: vori Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host banjo.cs.iitm.ernet.in. (202.141.24.2) Time: Thu Jan 8 03:09:08 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (61.11.88.232) Time: Thu Jan 8 04:59:56 2004 Input: 2*8; Output: Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (61.11.88.232) Time: Thu Jan 8 05:00:25 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host siec.sulechow.net. (195.116.20.202) Time: Thu Jan 8 09:44:32 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host nat-75-164.casaccia.enea.it. (192.107.75.164) Time: Thu Jan 8 10:01:40 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host adsl-68-78-137-53.dsl.emhril.ameritech.net. (68.78.137.53) Time: Thu Jan 8 13:29:10 2004 Input: elltors(ellinit([0,0,0,-25,0])); Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-68-78-137-53.dsl.emhril.ameritech.net. (68.78.137.53) Time: Thu Jan 8 13:29:32 2004 Input: 5+2 Output: 7 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host adsl-68-78-137-53.dsl.emhril.ameritech.net. (68.78.137.53) Time: Thu Jan 8 13:30:27 2004 Input: elltors(ellinit([0,0,0,-25,0])) Output: [4, [2, 2], [[5, 0], [0, 0]]] Errors (if any) and Timing Info: Timing: real 0m0.083s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (193.50.63.49) Time: Fri Jan 9 08:48:42 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:11:55 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:12:38 2004 Input: Prime(10) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Prime(10) ^--------- Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:14:35 2004 Input: Prime? Output: Errors (if any) and Timing Info: *** unused characters: Prime? ^- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:14:47 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 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 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:15:16 2004 Input: 4? Output: Errors (if any) and Timing Info: *** unused characters: 4? ^- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:15:20 2004 Input: 4? Output: Errors (if any) and Timing Info: *** unused characters: 4? ^- Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:15:32 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 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 0m0.074s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:15:48 2004 Input: ?4 Output: 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 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:16:35 2004 Input: factor(64) Output: [2 6] Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 24-205-67-29.pas-mres.charterpipeline.net. (24.205.67.29) Time: Fri Jan 9 16:16:57 2004 Input: factor(68) Output: [2 2] [17 1] Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host dial062077219039.vnet.hu. (62.77.219.39) Time: Fri Jan 9 18:27:31 2004 Input: 1000! Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host dial062077219039.vnet.hu. (62.77.219.39) Time: Fri Jan 9 18:28:05 2004 Input: 10000! Output: 28462596809170545189064132121198688901480514017027992307941799942744113400037644437729907867577847758158840621423175288300423399401535187390524211613827161748198241998275924182892597878981242531205946599625986706560161572036032397926328736717055741975962099479720346153698119897092611277500484198845410475544642442136573303076703628825803548967461117097369578603670191071512730587281041158640561281165385325968425825995584688146430425589836649317059251717204276597407446133400054194052462303436869154059404066227828248371512038322178644627183822923899638992827221879702459387693803094627332292570555459690027875282242544348021127559019169425429028916907219097083690539873747452483372899521802363282741217040268086769210451555840567172555372015852132829034279989818449313610640381489304499621599999359670892980190336998484404665419236258424947163178961192041233108268651071354516845540936033009607210346944377982349430780626069422302681885227592057029230843126188497606560742586279448827155956831533440534425446648416894580425709461673613187605234982286326452921529423479870603344290737158688499178932580691483168854251956006172372636323974420786924642956012306288720122652952964091508301336630982733806353972901506581822574295475894399765113865541208125788683704239208764484761569001264889271590706306409661628038784044485191643790807186112370622133415415065991843875961023926713276546986163657706626438638029848051952769536195259240930908614471907390768585755934786981720734372093104825475628567777694081564074962275254993384112809289637516990219870492405617531786346939798024619737079041868329931016554150742308393176878366923694849025999607729684293977427536263119825416681531891763234839190821000147178932184227805135181734921901146246875769835373441456013122615221391178759688367364087207937002992038279198038702372078039140312368997608152840306051116709484722224870389199993442071395836983063962232079115624044250808919914319837120445598344047556759489212101498152454543594285414390843564419984224855478532163624030098442855331829253154206551237079705816393460296247697010388742206441536626733715428700789122749340684336442889847100840641600093623935261248037975293343928764398316390312776450722479267851700826669598389526150759007349215197592659192708873202594066382118801988854748266048342256457705743973122259700671936061763513579529821794290797705327283267501488024443528681645026165662837546519006171873442260438919298506071515390031106684727360135816706437861756757439184376479658136100599638689552334648781746143243573224864326798481981458432703035895508420534788493364582482592033288089025782388233265770205248970937047210214248413342465268206806732314214483854074182139621846870108359582946965235632764870475718351616879235068366271743711915723361143070121120767608697851559721846485985918643641716850899625516820910793570231118518174775010804622585521314764897490660752877082897667514951009682329689732000622392888056658036140311285465929084078033974900664953205873164948093883816198658850827382468034897864757116679890423568018303504133875731972630897909435710687797301633918087868474943633533893373586906405848417828065196275826434429258058422212947649402948622670761832988229004072390403733168207417413251656688443079339447019208905620788387585342512820957359307018197708340163817638278562539516825426644614941044711579533262372815468794080423718587423026200264221822694188626212107297776657401018376182280136857586442185863011539843712299107010094061929413223202773193959467006713695377097897778118288242442920864816134179562017471831609687661043140497958198236445807368209404022211181530051433387076607063149616107771117448059552764348333385744040212757031851527298377435921878558552795591028664457917362007221858143309977294778923720717942857756271300923982397921957581197264742642878266682353915687857271620146192244266266708400765665625807109474398740110772811669918806268726626565583345665007890309050656074633078027158530817691223772813510584527326591626219647620571434880215630815259005343721141000303039242866457207328473481712034168186328968865048287367933398443971236735084527340196309427697652684170174990756947982757825835229994315633322107439131550124459005324702680312912392297979030417587823398622373535054642646913502503951009239286585108682088070662734733200354995720397086488066040929854607006339409885836349865466136727880748764700702458790118046518296111277090609016152022111461543158317669957060974618085359390400067892878548827850938637353703904049412684618991272871562655001270833039950257879931705431882752659225814948950746639976007316927310831735883056612614782997663188070063044632429112260691931278881566221591523270457695867512821990938942686601963904489718918597472925310322480210543841044325828472830584297804162405108110326914001900568784396341502696521048920272140232160234898588827371428695339681755106287470907473718188014223487248498558198439094651708364368994306189650243288353279667190184527620551085707626204244509623323204744707831190434499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 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.527s user 0m0.440s sys 0m0.090s ************** PARI ***************** Host dial062077219039.vnet.hu. (62.77.219.39) Time: Fri Jan 9 18:29:19 2004 Input: a=3^200:d=2^200:b=1:forstep(n=1,100001,200,c=b:t=1:for(l=n,n+199,t*=l):y=c-shift(shift(ct,-199-n)*t,199+n):x=shift(y,201-n)/d:for(k=n,n+199,x*=3:if(floor(shift(x,n-k-1))%k==0,print1(k,","))):b*=a) Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:07:55 2004 Input: gp > sum(n=1,10,1/n^2) Output: Errors (if any) and Timing Info: *** incorrect type in comparison. Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:08:11 2004 Input: sum(n=1,10,1/n^2) Output: 1968329/1270080 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:08:23 2004 Input: sum(n=1,3,1/n^2) Output: 49/36 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:09:43 2004 Input: sum(n=1,1000,1/n^12) Output: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.253s user 0m0.230s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:10:24 2004 Input: sum(n=1,3,1/n^12) Output: 2177317873/2176782336 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:10:36 2004 Input: sum(n=1,1000,1/n^12) Output: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.247s user 0m0.230s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:13:18 2004 Input: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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 + 0.0 Output: 1.000246086553308048298637998 E391 Errors (if any) and Timing Info: Timing: real 0m0.111s user 0m0.090s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:16:18 2004 Input: 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 + 0.0 3/Pi Output: 1.000246086553308048298637998 E391 0.9549296585513720146133025802 Errors (if any) and Timing Info: Timing: real 0m0.108s user 0m0.090s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:16:50 2004 Input: 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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 + 0.0 3/Pi 1.000246086553308048298637998/(Pi^12) Output: 1.000246086553308048298637998 E391 0.9549296585513720146133025802 0.000001082202140403198604256805315 Errors (if any) and Timing Info: Timing: real 0m0.110s user 0m0.100s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:19:15 2004 Input: 1.000246086553308048298637998/(Pi^12) Output: 0.000001082202140403198604256805315 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:19:45 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:20:39 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:20:55 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:21:16 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:21:33 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:22:58 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.340909090909090909076275322 1/.427184466019417475730825806 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.933333333333333333459248784 2.340909090909090909076275322 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:23:14 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.340909090909090909076275322 1/.340909090909090909076275322 1/.427184466019417475730825806 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.933333333333333333459248784 2.933333333333333333459248784 2.340909090909090909076275322 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:23:40 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:24:04 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:24:20 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 Errors (if any) and Timing Info: Timing: real 0m0.099s user 0m0.060s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:24:33 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 1/.933333333333333333459248784 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 1.071428571428571428426882773 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:24:59 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 1/.933333333333333333459248784 1/.071428571428571428426882773 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 1.071428571428571428426882773 14.00000000000000002833097649 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:25:37 2004 Input: 1.000246086553308048298637998/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 1/.933333333333333333459248784 1/.071428571428571428426882773 1/.00000000000000002833097649 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 1.071428571428571428426882773 14.00000000000000002833097649 35297053751499548.11882306567 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:31:21 2004 Input: Pi^12*(456/421363049) Output: 1.000246100779137443818658388 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:31:43 2004 Input: Pi^12*(456/421363049) sum(n=1,1000,1/n^12) Output: 1.000246100779137443818658388 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.249s user 0m0.220s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Fri Jan 9 23:32:08 2004 Input: Pi^12*(456/421363049) 17232637318153398638590050579399889574443320115177907185548221027734506038828594438189000011840951977737568875663455912790131317603398104460456679820127394103595303035294331188974518312248981671646304374349056669679347758571603134361015151136577768798725572876125143996931494461825462377388132250256081310504481838771291812463557142350670517423206056824701182612808478270958606928992607523845425718095907504064209196927423407493419159396632819709015512210088499607877556790741473806528529773863701841368269696735202749668486846813668063671703822628062408200425384081490968439484698499802897007354976207632813199196338283410002753624994246732573779179754771012193226290272242761220592982273486314553994301871307438132731736564254415718980490974088627025045005905087314357102513215227324795406223879753864738497013652161365172408824858007843002374504087113658510996256476883606115199206628070160806739897444892511875411089479538212297304955020359248148807660417714925405446911077765490459161520442215927852347092613473989593886182871655423524774159887646901484731827222162384856962298992182096109252514348981966646612812260707317568303375839504766691900419863587568317647732042385647042761037980472494921924673927575029458593152046282726703204158363432008250215760992223530585972261152410164169672378373438933983518527429504278917179927563609216804346187323389417851729252276879266842334337094837900693039691189325216660420980943080378442968750252524426669203752846350774271309105208989233503939415722073112172967968285153343684209500641428343478281257008683899891166722021299416177744697478151524540117739647022461224245822064871619655152328712461365232791210639227582442525631787318595790824052462558610546644477918663877880278527177861861176512744902690438991972203326417536560679346370297215129128220075810652535172088751726725295102729468823853566378360602858401566434978010669002109288299258859660056459756968042858127091856796416056910013536031625556535287888300395818657910048709809381088837580160343625696862260222819996546957534654542160966251600522915955587057803326598914921982912147338131755319772794547939166722734744975718366968853937446276109139068305449959624025113349409562712823866277988417658765992560301869359378863833600651599496789115875711517198618118661235847898755541976659702619849051066520614863662321483907420106867038356027901221777485127214430317657377170300336685048820890575522914025414217554280372361513713211673500015575305959438443562104835866874111812091069046368523644178682915697161976428797184429415579610917137444981913331476563437718027075723940565186703658891477002106013249718592958045934587477626045164201731756077654154179328283961071407181956019571696172260676904601003307419644989328416673440831155606292364606567410412807727215063419355136242576403575527878874185465274003540945997237375448842604050744583387135510825178859022724947303471988468909254941552317631065526134213705458730054152318146951513272970558765767984510171069178855474067046206988756871032881668616949561954662545697796676035912392251676247842933539120775501360636293065133779712745287595990242514237577914106459801258777296833038647985808009215483565369667678655303878138337712072320154921058559785384121010168601564596873736830883469026861497349364422255111864487792331699309319219868396274329222052439249908920521836762485939392781461885107418912524013837755147479977649012898117972513666839988572802243720648248713304566639241062337321776955121057734372785822896468148038482363143048651102944098201500204770514386992126965276170933577905069638934794887881706488467580463067677192210400864534485021732450090986380157678158409944530895221070939785611864306790056014556318031569329536055091919981236427848814618372895187920579623713845515616773120231000174441266924602283773823564588927563701116038282198109533131822359546472553646743886765288556150731633735461623708254280069153816579671168859816049077516029452401262446285424146790491851648585248008618825880407158400407675750944908741636041490664779895400362254955589782469052585951515976295475947708962408974736957075021067189675786609820505391832151248350879258837941821932674075760313910616375626913845335325030772375203543852827752718134930139261914869526190225330245514607422187146518137213162734137217769274679704139241676186128583929101347237158441969114979689223765358600791182596523167764961187689083227592579004333752193994717292079631666398898510662625873871624047728455867620353760397884407333849899424247110685583342541534056761241172852583783788457728630960673542385896796099442685634346805331205241797537017659571232662752865295272407758707876625432903201556939302153978776884764133303725812658277150610426117613347854009720432254571130560300884702755805751767158683309915660506160344499655955447682014608331641820838959831763979479670315314713647899973315868204684623113408382685970310898374937516359108459042795024050039099171922600798379494823828544127040072142540902044344283379496152961850468078176117976810665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+0.0 Output: 1.000246100779137443818658388 1.000246086553308048298637998 E421 Errors (if any) and Timing Info: Timing: real 0m0.111s user 0m0.080s sys 0m0.040s ************** PARI ***************** Host host-65-199-137-206.link.com.eg. (65.199.137.206) Time: Sat Jan 10 02:05:14 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host f03v-10-160.d1.club-internet.fr. (212.194.45.160) Time: Sat Jan 10 08:31:25 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host webcacheW05b.cache.pol.co.uk. (195.92.198.75) Time: Sat Jan 10 11:15:10 2004 Input: 4583945634756+56878674564 Output: 4640824309320 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:38:18 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) Output: 0.000001082202140403198604256805315 Errors (if any) and Timing Info: Timing: real 0m0.240s user 0m0.200s sys 0m0.040s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:44:22 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 Errors (if any) and Timing Info: Timing: real 0m0.240s user 0m0.200s sys 0m0.040s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:45:08 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 Errors (if any) and Timing Info: Timing: real 0m0.244s user 0m0.220s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:46:05 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 Errors (if any) and Timing Info: Timing: real 0m0.237s user 0m0.220s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:46:50 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 Errors (if any) and Timing Info: Timing: real 0m0.239s user 0m0.220s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:47:57 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 Errors (if any) and Timing Info: Timing: real 0m0.235s user 0m0.220s sys 0m0.010s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:48:50 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 Errors (if any) and Timing Info: Timing: real 0m0.233s user 0m0.200s sys 0m0.030s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:49:32 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 1/.933333333333333333459248784 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 1.071428571428571428426882773 Errors (if any) and Timing Info: Timing: real 0m0.234s user 0m0.210s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 13:50:17 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 1/.933333333333333333459248784 1/.071428571428571428426882773 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 1.071428571428571428426882773 14.00000000000000002833097649 Errors (if any) and Timing Info: Timing: real 0m0.239s user 0m0.210s sys 0m0.020s ************** PARI ***************** Host roam129-165.student.harvard.edu. (140.247.129.165) Time: Sat Jan 10 14:13:06 2004 Input: sum(n=1,1000,1/n^12)/(Pi^12) 1/0.000001082202140403198604256805315 1/.7872648335745296671490 1/.270220588235294117647154557 1/.700680272108843537413654913 1/.427184466019417475730825806 1/.340909090909090909076275322 1/.933333333333333333459248784 1/.071428571428571428426882773 1/.00000000000000002833097649 Output: 0.000001082202140403198604256805315 924041.7872648335745296671490 1.270220588235294117647154557 3.700680272108843537413654913 1.427184466019417475730825806 2.340909090909090909076275322 2.933333333333333333459248784 1.071428571428571428426882773 14.00000000000000002833097649 35297053751499548.11882306567 Errors (if any) and Timing Info: Timing: real 0m0.238s user 0m0.210s sys 0m0.030s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:28:29 2004 Input: x³+2x²+7x+3 Output: Errors (if any) and Timing Info: *** unused characters: x³+2x²+7x+3 ^---------- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:29:34 2004 Input: 2*x^2=3 + 6*x^2 + 22*x + 12 Output: Errors (if any) and Timing Info: *** unexpected character: 2*x^2=3+6*x^2+22*x+12 ^---------------- Timing: real 0m0.055s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:44:41 2004 Input: solve 2*x^2=3 + 6*x^2 + 22*x + 12 Output: Errors (if any) and Timing Info: *** unexpected character: solve2*x^2=3+6*x^2+22*x+12 ^---------------- Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:44:52 2004 Input: solve( 2*x^2=3 + 6*x^2 + 22*x + 12) Output: Errors (if any) and Timing Info: *** variable name expected: solve(2*x^2=3+6*x^2+22*x+1 ^-------------------- Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:49:02 2004 Input: solve( 2*x^2=3 + 6*x^2 + 22*x + 12=0) Output: Errors (if any) and Timing Info: *** variable name expected: solve(2*x^2=3+6*x^2+22*x+1 ^-------------------- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:49:20 2004 Input: polroots( 2*x^2=3 + 6*x^2 + 22*x + 12=0) Output: Errors (if any) and Timing Info: *** unexpected character: polroots(2*x^2=3+6*x^2+22*x+12=0) ^------------------- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:49:50 2004 Input: polroots(2*x^3+ 6*x^2 + 22*x + 12=0) Output: Errors (if any) and Timing Info: *** unexpected character: ...roots(2*x^3+6*x^2+22*x+12=0) ^--- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:50:07 2004 Input: polroots(2*x^3+ 6*x^2 + 22*x + 12 = 0) Output: Errors (if any) and Timing Info: *** unexpected character: ...roots(2*x^3+6*x^2+22*x+12=0) ^--- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:50:22 2004 Input: polroots(2*x^3+ 6*x^2 + 22*x + 12 = 0) Output: Errors (if any) and Timing Info: *** unexpected character: ...roots(2*x^3+6*x^2+22*x+12=0) ^--- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:51:20 2004 Input: polroots(2*x^3+ 6*x^2 + 22*x + 12 ) Output: [-0.6312668124306237503913420546 + 0.E-28*I, -1.184366593784688124804328972 - 2.846396515370145088611555674*I, -1.184366593784688124804328972 + 2.846396515370145088611555674*I]~ Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:51:31 2004 Input: polroots(x^5+2*x^2+1) Output: [-1.363964602100452054561577732 + 0.E-28*I, -0.05277415108645189611947896053 - 0.6881474094065561301686882036*I, -0.05277415108645189611947896053 + 0.6881474094065561301686882036*I, 0.7347564521366779234002678265 - 0.9996524475026016762328186936*I, 0.7347564521366779234002678265 + 0.9996524475026016762328186936*I]~ Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:53:05 2004 Input: polroots(x^2+10*x+39) Output: [-5.000000000000000000000000000 - 3.741657386773941385583748732*I, -5.000000000000000000000000000 + 3.741657386773941385583748732*I]~ Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:53:42 2004 Input: polroots(x^2+10*x-39) Output: [-13.00000000000000000000000000 + 0.E-28*I, 3.000000000000000000000000000 + 0.E-28*I]~ Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:54:47 2004 Input: polroots(2x^2+4*x+2) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: polroots(2x^2+4*x+2) ^---------- Timing: real 0m0.054s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:54:56 2004 Input: polroots(2*x^2+4*x+2) Output: [-1.000000000000000000000000000 + 0.E-28*I, -1.000000000000000000000000000 + 0.E-28*I]~ Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host modemcable030.42-200-24.mc.videotron.ca. (24.200.42.30) Time: Sat Jan 10 14:58:08 2004 Input: polroots(10*x^2+15*x+5) Output: [-1.000000000000000000000000000 + 0.E-28*I, -0.5000000000000000000000000000 + 0.E-28*I]~ Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host lns-vlq-1-82-65-162-47.adsl.proxad.net. (82.65.162.47) Time: Sat Jan 10 16:14:54 2004 Input: 6941372044925487738675387152189111745732039847701504273612536130666996402409750124783895966530170647511075085147439137214921516137540516588371707169957057 Output: 6941372044925487738675387152189111745732039847701504273612536130666996402409750124783895966530170647511075085147439137214921516137540516588371707169957057 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host SYDNEYPACIFIC-SIXTY-SIX.MIT.EDU. (18.95.5.66) Time: Sun Jan 11 00:02:36 2004 Input: pi^12/(691*sum(n=1,1000,1/n^12)) Output: 24932558091402120613474035576295654044830511585592529926762323944896290073503446726474907069478277065730849424498430339906855296180403956697849730453322890066305472323481846201124302832695950850842427499168726955218287223316180776781004350914269374386222906007686688497338193761612028452947907265215258898026306694909491362879228731868916058197182340169858093341413517247324891108689446719076883442502050439635638220730269281741983791578905351793015639869149071057124260557288064056987703489206781567883187463829738564006899305612541015310273628518103704231011406892975237949380623397995326110431625042066661255234504763737008305066679308068714053963398588925874250972327006592669065047852042631543256814664209580578797481887838912468119767525643619538326398781085033461984276538986636698461070864046743695353753184045691144807739574702184852215378603332239264550683429833929837996045938823348231945412855507038295390329319460136883937919315731678030462712114256996074853238025562159346946915190757260229793677836103401271643731168866708990248105726334771565400104893219219509341119041769080040161513796149222442816523190857259818346909625466726052572707093864955642787005534436118716252013771762075706977817501746730737059169107265219980402734019800443613872656833865329354362549403073050719427647921129660292942478531376646729328420098890210808930774651583424922499278845278113416533886893071572975873385162969608842346809444909083870169392188274079442642270194640329885133865733589286986769631760843599799639318106179056482104626089496753384816101983528983189838197170611449892418020781841582285541762842979813599408131377009721986857483585908670289422987594895890999221349553262526504234877158469210283551938062782492186306518295241023338966749600071257321468949304628216888381223765973249645198292648359048414186845700047559172857403792101113992097133787355226623775005969663142867413984893785956423396391513277562536044469569546419462658929905694152051197653840718018821817205312360871444108153066729912947339519406338759748750142046585457285534845559846070081567365120843815462669714225154184957232498052757119151793393643943559871424691346254023584865308702169520177285975006474656312984135871290863096741963495783572041607546609207905044490863496208223757194574614354084509961619518791376230434095565115490772084751863795579759247841946535903310462930221614167886919818010413057803805715409582641388879444461278023964295570575900214661907614385658314368904360090310262838945163161536687005929480244258978683516334316544489174814718519259180280791323849631611082504210525014710111893110761722141400654937734555176630520797858889652756962340279319820336121947988827139703700212672336354915721603789769288160409532936183839468148752093173667015978627964516579506748026502036252956711495191423606557500602511737142731513465472375880145611697933728751745193640086482674038660415873551766955260434851187916680071844837556670581055115456474293856154175708008823723901295020626828663235056061917766130953276253260535177138358006343620946878432866791781883645545616746067922043382647602017940756156071718684957109675136033553972214396306449624183785689064368842663286868358958812784364486472519006645077821810813305779363683918789154527759119258997839030351198486727635481506499216815678599574051194357443303148494668701895110195422530275651183856970870940075788066843381533616261954432265526102173200346354611479597843296019869079287521784773738550903958102422349456606060609713556070362448394400574543008669975054286279293683619385540970052612206715856518952824713760283886670218162860593696829064798021270654886391737501259150176552125088155748293672156513472057834630595218547917489738187809812263379788301096392992626181830948528252832706926633858349291872691294649833103194259867425332383516934928566100668363527820165155451531937011758429749517009227788781578757138364897060253981833142546163754230778481144232601699762823902402822465139947582829245266127035307388832799829713185168089071236318051112485140027785318614562929372727571480881383014001931867650340428761876800220131519934828575004852776713714470441073315946617447976061569100024605688769191694664757774707290152971588957278462611401545001180365891212163925368991528934511736399221660988883201624049369863332039939851427132067513163752137126728047588514450386823577849010896570013025128135648606414789539092730419467626535987865588512052727417531291417478149582620635379116035484446577955537407166731872555458590267568317064556288331299562434877422141219969161022161548440829223868369825055529005066227891041190381744071990694121738583471584801783570767811032511642175178797304337102308885614776251720797296786650534860596656821613381630336269946802487780437100811538165991348051926124606830730525851824315640488025368960913478530185183110276278352693912920285798080262283475496725181628653483314561731599041300917469610952918103104261706399616292213529982017761088583625180727031559260256433606013735832440224051608134045460091922733434165841224746278644370110138779837634690738031114418647422843333241779825534819331147190970277729517289713641066136338336192224382792237056000000000000000000000000000000000000000000000000/1723263731815339863859005057939988957444332011517790718554822102773450603882859443818900001184095197773756887566345591279013131760339810446045667982012739410359530303529433118897451831224898167164630437434905666967934775857160313436101515113657776879872557287612514399693149446182546237738813225025608131050448183877129181246355714235067051742320605682470118261280847827095860692899260752384542571809590750406420919692742340749341915939663281970901551221008849960787755679074147380652852977386370184136826969673520274966848684681366806367170382262806240820042538408149096843948469849980289700735497620763281319919633828341000275362499424673257377917975477101219322629027224276122059298227348631455399430187130743813273173656425441571898049097408862702504500590508731435710251321522732479540622387975386473849701365216136517240882485800784300237450408711365851099625647688360611519920662807016080673989744489251187541108947953821229730495502035924814880766041771492540544691107776549045916152044221592785234709261347398959388618287165542352477415988764690148473182722216238485696229899218209610925251434898196664661281226070731756830337583950476669190041986358756831764773204238564704276103798047249492192467392757502945859315204628272670320415836343200825021576099222353058597226115241016416967237837343893398351852742950427891717992756360921680434618732338941785172925227687926684233433709483790069303969118932521666042098094308037844296875025252442666920375284635077427130910520898923350393941572207311217296796828515334368420950064142834347828125700868389989116672202129941617774469747815152454011773964702246122424582206487161965515232871246136523279121063922758244252563178731859579082405246255861054664447791866387788027852717786186117651274490269043899197220332641753656067934637029721512912822007581065253517208875172672529510272946882385356637836060285840156643497801066900210928829925885966005645975696804285812709185679641605691001353603162555653528788830039581865791004870980938108883758016034362569686226022281999654695753465454216096625160052291595558705780332659891492198291214733813175531977279454793916672273474497571836696885393744627610913906830544995962402511334940956271282386627798841765876599256030186935937886383360065159949678911587571151719861811866123584789875554197665970261984905106652061486366232148390742010686703835602790122177748512721443031765737717030033668504882089057552291402541421755428037236151371321167350001557530595943844356210483586687411181209106904636852364417868291569716197642879718442941557961091713744498191333147656343771802707572394056518670365889147700210601324971859295804593458747762604516420173175607765415417932828396107140718195601957169617226067690460100330741964498932841667344083115560629236460656741041280772721506341935513624257640357552787887418546527400354094599723737544884260405074458338713551082517885902272494730347198846890925494155231763106552613421370545873005415231814695151327297055876576798451017106917885547406704620698875687103288166861694956195466254569779667603591239225167624784293353912077550136063629306513377971274528759599024251423757791410645980125877729683303864798580800921548356536966767865530387813833771207232015492105855978538412101016860156459687373683088346902686149734936442225511186448779233169930931921986839627432922205243924990892052183676248593939278146188510741891252401383775514747997764901289811797251366683998857280224372064824871330456663924106233732177695512105773437278582289646814803848236314304865110294409820150020477051438699212696527617093357790506963893479488788170648846758046306767719221040086453448502173245009098638015767815840994453089522107093978561186430679005601455631803156932953605509191998123642784881461837289518792057962371384551561677312023100017444126692460228377382356458892756370111603828219810953313182235954647255364674388676528855615073163373546162370825428006915381657967116885981604907751602945240126244628542414679049185164858524800861882588040715840040767575094490874163604149066477989540036225495558978246905258595151597629547594770896240897473695707502106718967578660982050539183215124835087925883794182193267407576031391061637562691384533532503077237520354385282775271813493013926191486952619022533024551460742218714651813721316273413721776927467970413924167618612858392910134723715844196911497968922376535860079118259652316776496118768908322759257900433375219399471729207963166639889851066262587387162404772845586762035376039788440733384989942424711068558334254153405676124117285258378378845772863096067354238589679609944268563434680533120524179753701765957123266275286529527240775870787662543290320155693930215397877688476413330372581265827715061042611761334785400972043225457113056030088470275580575176715868330991566050616034449965595544768201460833164182083895983 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.253s user 0m0.240s sys 0m0.010s ************** PARI ***************** Host SYDNEYPACIFIC-SIXTY-SIX.MIT.EDU. (18.95.5.66) Time: Sun Jan 11 00:03:00 2004 Input: Pi^12/(691*sum(n=1,1000,1/n^12)) Output: 1337.252948284853219290401083 Errors (if any) and Timing Info: Timing: real 0m0.240s user 0m0.220s sys 0m0.020s ************** PARI ***************** Host 80-218-55-124.dclient.hispeed.ch. (80.218.55.124) Time: Sun Jan 11 01:55:58 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (200.97.135.80) Time: Sun Jan 11 18:11:33 2004 Input: 5! Output: 120 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host n137.ryd.student.liu.se. (130.236.215.137) Time: Mon Jan 12 17:10:22 2004 Input: 2^23478098734 mod 65537 Output: Errors (if any) and Timing Info: *** unused characters: 2^23478098734mod65537 ^-------- Timing: real 0m0.273s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host host64.200-117-134.telecom.net.ar. (200.117.134.64) Time: Mon Jan 12 20:46:24 2004 Input: for (i=1; i<=3; i++) printf("%d",2*i+pow(2,i)); Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host host64.200-117-134.telecom.net.ar. (200.117.134.64) Time: Mon Jan 12 20:46:37 2004 Input: for (i=1; i<=3; i++) i++; Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: for(i=1;i<=3;i++)i++; ^-------------- Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:25:34 2004 Input: 2*2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:26:00 2004 Input: 2*2*7 Output: 28 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:28:43 2004 Input: 1./7 Output: 0.1428571428571428571428571428 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:31:26 2004 Input: exp(1) Output: 2.718281828459045235360287471 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:31:43 2004 Input: log(exp(1)) Output: 0.9999999999999999999999999999 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:33:05 2004 Input: Pi Output: 3.141592653589793238462643383 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:35:53 2004 Input: p 50 Output: p50 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:36:13 2004 Input: 1/7. Output: 0.1428571428571428571428571428 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:36:35 2004 Input: p 50 ,1/7. Output: Errors (if any) and Timing Info: *** unused characters: p50,1/7. ^----- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:37:47 2004 Input: p 50 1./7 Output: p50 0.1428571428571428571428571428 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:38:02 2004 Input: /p 50 1./7 Output: 0.1428571428571428571428571428 Errors (if any) and Timing Info: *** unexpected character: /p50 ^---- Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:42:38 2004 Input: 1/0. Output: Errors (if any) and Timing Info: *** division by zero in S/R Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.76.74) Time: Tue Jan 13 02:44:03 2004 Input: sqrt(-1) Output: 1.000000000000000000000000000*I Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.3) Time: Tue Jan 13 09:28:33 2004 Input: K :=GF(2); for i in [1 .. 10] do C := PrimitivePolynomial(K,521); C; end for; Output: Errors (if any) and Timing Info: *** unexpected character: K:=GF(2); ^------- *** unused characters: foriin[1..10]do ^-- *** unexpected character: C:=PrimitivePolynomia ^-------------------- Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host fenfak84063.fenfak.ege.edu.tr. (155.223.84.63) Time: Tue Jan 13 11:37:26 2004 Input: 2^10 Output: 1024 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host fenfak84063.fenfak.ege.edu.tr. (155.223.84.63) Time: Tue Jan 13 11:37:38 2004 Input: 2^10000 Output: 19950631168807583848837421626835850838234968318861924548520089498529438830221946631919961684036194597899331129423209124271556491349413781117593785932096323957855730046793794526765246551266059895520550086918193311542508608460618104685509074866089624888090489894838009253941633257850621568309473902556912388065225096643874441046759871626985453222868538161694315775629640762836880760732228535091641476183956381458969463899410840960536267821064621427333394036525565649530603142680234969400335934316651459297773279665775606172582031407994198179607378245683762280037302885487251900834464581454650557929601414833921615734588139257095379769119277800826957735674444123062018757836325502728323789270710373802866393031428133241401624195671690574061419654342324638801248856147305207431992259611796250130992860241708340807605932320161268492288496255841312844061536738951487114256315111089745514203313820202931640957596464756010405845841566072044962867016515061920631004186422275908670900574606417856951911456055068251250406007519842261898059237118054444788072906395242548339221982707404473162376760846613033778706039803413197133493654622700563169937455508241780972810983291314403571877524768509857276937926433221599399876886660808368837838027643282775172273657572744784112294389733810861607423253291974813120197604178281965697475898164531258434135959862784130128185406283476649088690521047580882615823961985770122407044330583075869039319604603404973156583208672105913300903752823415539745394397715257455290510212310947321610753474825740775273986348298498340756937955646638621874569499279016572103701364433135817214311791398222983845847334440270964182851005072927748364550578634501100852987812389473928699540834346158807043959118985815145779177143619698728131459483783202081474982171858011389071228250905826817436220577475921417653715687725614904582904992461028630081535583308130101987675856234343538955409175623400844887526162643568648833519463720377293240094456246923254350400678027273837755376406726898636241037491410966718557050759098100246789880178271925953381282421954028302759408448955014676668389697996886241636313376393903373455801407636741877711055384225739499110186468219696581651485130494222369947714763069155468217682876200362777257723781365331611196811280792669481887201298643660768551639860534602297871557517947385246369446923087894265948217008051120322365496288169035739121368338393591756418733850510970271613915439590991598154654417336311656936031122249937969999226781732358023111862644575299135758175008199839236284615249881088960232244362173771618086357015468484058622329792853875623486556440536962622018963571028812361567512543338303270029097668650568557157505516727518899194129711337690149916181315171544007728650573189557450920330185304847113818315407324053319038462084036421763703911550639789000742853672196280903477974533320468368795868580237952218629120080742819551317948157624448298518461509704888027274721574688131594750409732115080498190455803416826949787141316063210686391511681774304792596709376 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (210.77.19.20) Time: Tue Jan 13 20:47:57 2004 Input: F := EllipticCurve([0, 17]); F; Output: Errors (if any) and Timing Info: *** unexpected character: F:=EllipticCurve([0,17 ^-------------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (210.77.19.20) Time: Tue Jan 13 21:42:33 2004 Input: E := EllipticCurve([-25, 0]); E; M := MinimalModel(E); M; G, h := TorsionSubgroup(E); torsion_pts_E := [ h(g) : g in G ]; torsion_pts_E; G2, h2 := TorsionSubgroup(M); torsion_pts_M := [ h2(g) : g in G2 ]; torsion_pts_M; Output: Errors (if any) and Timing Info: *** unexpected character: E:=EllipticCurve([-25, ^-------------------- *** unexpected character: M:=MinimalModel(E); ^----------------- *** unused characters: G,h:=TorsionSubgroup( ^-------------------- *** unexpected character: torsion_pts_E:=[h(g):ginG]; ^------------- *** unused characters: G2,h2:=TorsionSubgroup ^-------------------- *** unexpected character: torsion_pts_M:=[h2(g):ginG2]; ^--------------- Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (149.123.131.77) Time: Wed Jan 14 13:05:15 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.069s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhip-066.classrooms.lovejoy.colby.edu. (137.146.170.130) Time: Wed Jan 14 21:08:10 2004 Input: 6543+65 Output: 6608 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ade-ce4.chariot.net.au. (203.87.94.182) Time: Thu Jan 15 00:24:16 2004 Input: " 121! " Output: " 121! " Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host web-cache-3.ocs.mq.edu.au. (137.111.13.34) Time: Thu Jan 15 00:55:13 2004 Input: x := 5 Output: Errors (if any) and Timing Info: *** unexpected character: x:=5 ^-- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host RAS1-PRI-Async31.iservice.bg. (213.91.182.95) Time: Thu Jan 15 05:57:46 2004 Input: ? a=2+0(7^30) Output: Errors (if any) and Timing Info: *** a=2+0(7^30): unknown identifier. Timing: real 0m0.072s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host RAS1-PRI-Async31.iservice.bg. (213.91.182.95) Time: Thu Jan 15 05:59:12 2004 Input: 2+0(7^30) Output: Errors (if any) and Timing Info: *** unused characters: 2+0(7^30) ^------ Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host blaubaer.rz.tu-clausthal.de. (139.174.3.65) Time: Thu Jan 15 11:33:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host blaubaer.rz.tu-clausthal.de. (139.174.3.65) Time: Thu Jan 15 11:34:03 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:01:04 2004 Input: s=0;for(i=1,100,s+=1/i);s Output: 14466636279520351160221518043104131447711/2788815009188499086581352357412492142272 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:15:08 2004 Input: factor(x^8 - 1); Output: Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:15:51 2004 Input: print factor(x^8 - 1); Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: printfactor(x^8-1); ^------ Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:17:01 2004 Input: 18! Output: 6402373705728000 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.010s sys 0m0.050s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:18:31 2004 Input: factor(100) Output: [2 2] [5 2] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:18:49 2004 Input: factor(x^8-1,x); Output: Errors (if any) and Timing Info: *** this should be an integer: factor(x^8-1,x); ^--- Timing: real 0m0.069s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 203-195-199-244.now-india.net.in. (203.195.199.244) Time: Thu Jan 15 12:19:24 2004 Input: factor(x^8-1) Output: [x - 1 1] [x + 1 1] [x^2 + 1 1] [x^4 + 1 1] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host septsix.celar.fr. (192.134.105.76) Time: Fri Jan 16 02:59:37 2004 Input: 34*89; Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host linux141.ma.utexas.edu. (146.6.139.116) Time: Fri Jan 16 16:06:20 2004 Input: ellinit([1,0,1,0,0]) Output: [1, 0, 1, 0, 0, 1, 1, 1, 0, -23, -181, -26, 12167/26, [-0.4320408003330957893895126561, 0.09102040016654789469475632806 - 0.7552246949237753066260830871*I, 0.09102040016654789469475632806 + 0.7552246949237753066260830871*I]~, 4.640189861495650057890915681, -2.320094930747825028945457840 + 1.739671741715756628817769267*I, -0.9563088804809468342233388917 + 1.96780548 E-29*I, 0.4781544402404734171116694458 - 1.035573184017404034122867776*I, 8.072407178239933052476358260] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host AC80648A.ipt.aol.com. (172.128.100.138) Time: Fri Jan 16 17:17:36 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host ppp-111-169.26-151.libero.it. (151.26.169.111) Time: Fri Jan 16 19:31:29 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ppp-111-169.26-151.libero.it. (151.26.169.111) Time: Fri Jan 16 19:32:11 2004 Input: 121! Output: 809429852527344373968162284544935082997082306309701607045776233628497660426640521713391773997910182738287074185078904956856663439318382745047716214841147650721760223072092160000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host p3143-adsan11honb1-acca.tokyo.ocn.ne.jp. (61.208.239.143) Time: Sat Jan 17 01:20:51 2004 Input: k=nfinit(x^3+x^2-10*x-8); nfdisc(k); Output: Errors (if any) and Timing Info: *** incorrect type in nfbasis00. Timing: real 0m0.063s user 0m0.020s sys 0m0.050s ************** PARI ***************** Host p3143-adsan11honb1-acca.tokyo.ocn.ne.jp. (61.208.239.143) Time: Sat Jan 17 01:21:12 2004 Input: k=nfinit(x^3+x^2-10*x-8); Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host p3143-adsan11honb1-acca.tokyo.ocn.ne.jp. (61.208.239.143) Time: Sat Jan 17 01:21:36 2004 Input: nfdisc(x^3+x^2-10*x-8); Output: Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ipc3795f41.dial.planet.nl. (195.121.95.65) Time: Sat Jan 17 11:08:20 2004 Input: 23*45 Output: 1035 Errors (if any) and Timing Info: Timing: real 0m0.078s user 0m0.030s sys 0m0.050s ************** PARI ***************** Host AVelizy-112-1-13-31.w81-50.abo.wanadoo.fr. (81.50.186.31) Time: Sat Jan 17 15:17:20 2004 Input: e Output: e Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host DSL217-132-173-125.bb.netvision.net.il. (217.132.173.125) Time: Sat Jan 17 17:17:19 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 202-177-146-27.sify.net. (202.177.146.27) Time: Sun Jan 18 07:06:41 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 202-177-146-27.sify.net. (202.177.146.27) Time: Sun Jan 18 07:06:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host cache-dl09.proxy.aol.com. (205.188.209.45) Time: Sun Jan 18 19:02:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host cache-dl09.proxy.aol.com. (205.188.209.45) Time: Sun Jan 18 19:08:13 2004 Input: def ulalm(n): u=[1,2] k=3 n-=2 while 0k/2] for y n d: if u.count(y)>0: c+=1 if c>1 break if c==l: u.append(k) n-=1 return u Output: [1, 2] 3 n - 2 0 1 n - 3 returnu Errors (if any) and Timing Info: *** expected character: '=' instead of: defulalm(n): ^- *** incorrect type in comparison. *** incorrect type in comparison. *** unused characters: ifu.count(y)>0: ^------ *** incorrect type in comparison. *** unused characters: u.append(k) ^--- Timing: real 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host cache-dl09.proxy.aol.com. (205.188.209.45) Time: Sun Jan 18 19:09:55 2004 Input: def ulam(n): u=[1,2] k=3 n-=2 while 0k/2] for y n d: if u.count(y)>0: c+=1 if c>1 break if c==l: u.append(k) n-=1 return u Output: [1, 2] 3 n - 2 0 1 n - 3 returnu Errors (if any) and Timing Info: *** expected character: '=' instead of: defulam(n): ^- *** incorrect type in comparison. *** incorrect type in comparison. *** unused characters: ifu.count(y)>0: ^------ *** incorrect type in comparison. *** unused characters: u.append(k) ^--- Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host cache-dl09.proxy.aol.com. (205.188.209.45) Time: Sun Jan 18 19:13:56 2004 Input: def ulam(n): u=[1,2] k=3 n-=2 while 0k/2] for y n d: if u.count(y)>0: c+=1 if c>1: break if c==l: u.append(k) n-=1 k+=1 return u Output: [1, 2] 3 n - 2 0 1 n - 3 4 returnu Errors (if any) and Timing Info: *** expected character: '=' instead of: defulam(n): ^- *** incorrect type in comparison. *** incorrect type in comparison. *** unused characters: ifu.count(y)>0: ^------ *** incorrect type in comparison. *** unused characters: u.append(k) ^--- Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host cache-dl09.proxy.aol.com. (205.188.209.45) Time: Sun Jan 18 19:16:32 2004 Input: def ulam(n): u = [1,2] k = 3 n -= 2 while 0k/2] for y n d: if u.count(y)>0: c += 1 if c > 1: break if c == l: u.append(k) n -= 1 k += 1 return u Output: [1, 2] 3 n - 2 0 1 n - 3 4 returnu Errors (if any) and Timing Info: *** expected character: '=' instead of: defulam(n): ^- *** incorrect type in comparison. *** incorrect type in comparison. *** unused characters: ifu.count(y)>0: ^------ *** incorrect type in comparison. *** unused characters: u.append(k) ^--- Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (193.219.169.234) Time: Mon Jan 19 06:50:56 2004 Input: (a-b)*(a+b)+b^2 Output: a^2 Errors (if any) and Timing Info: Timing: real 0m0.094s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (193.219.169.234) Time: Mon Jan 19 06:51:33 2004 Input: (a-b)*(a+b)+b^2 Output: a^2 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host L0123P15.dipool.highway.telekom.at. (62.46.79.79) Time: Mon Jan 19 14:33:04 2004 Input: znstar(60); Output: Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host L0123P15.dipool.highway.telekom.at. (62.46.79.79) Time: Mon Jan 19 14:33:12 2004 Input: znstar(60) Output: [16, [4, 2, 2], [Mod(47, 60), Mod(31, 60), Mod(41, 60)]] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host l-ml411-08.cavern.carleton.ca. (134.117.82.95) Time: Mon Jan 19 20:28:35 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (143.235.219.2) Time: Tue Jan 20 06:44:56 2004 Input: (x+y)^3 Output: x^3 + 3*y*x^2 + 3*y^2*x + y^3 Errors (if any) and Timing Info: Timing: real 0m0.364s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 1-1-5-46b.orby.sth.bostream.se. (82.182.86.197) Time: Tue Jan 20 06:55:26 2004 Input: factorint((10^43-1)/9) Output: [173 1] [1527791 1] [1963506722254397 1] [2140992015395526641 1] Errors (if any) and Timing Info: Timing: real 0m0.348s user 0m0.260s sys 0m0.030s ************** PARI ***************** Host 1-1-5-46b.orby.sth.bostream.se. (82.182.86.197) Time: Tue Jan 20 06:56:04 2004 Input: factorint((10^43-1)/9) Output: [173 1] [1527791 1] [1963506722254397 1] [2140992015395526641 1] Errors (if any) and Timing Info: Timing: real 0m0.292s user 0m0.280s sys 0m0.010s ************** PARI ***************** Host 1-1-5-46b.orby.sth.bostream.se. (82.182.86.197) Time: Tue Jan 20 06:56:46 2004 Input: factorint((10^71-1)/9) Output: Errors (if any) and Timing Info: Timing: real 0m21.249s user 0m20.900s sys 0m0.100s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:10:09 2004 Input: E=ellinit(1,0,1,4,-6) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: E=ellinit(1,0,1,4,-6) ^-------- Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:10:32 2004 Input: ellinit(1,0,1,4,-6) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ellinit(1,0,1,4,-6) ^-------- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:13:56 2004 Input: ellinit(1,0,1,4,-6); Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ellinit(1,0,1,4,-6); ^--------- Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:14:13 2004 Input: Ellinit(1,0,1,4,-6); Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Ellinit(1,0,1,4,-6); ^-------------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:16:30 2004 Input: E=ellinit([1,0,1,4,-6]) Output: [1, 0, 1, 4, -6, 1, 9, -23, -26, -215, 5291, -21952, 9938375/21952, [1.000000000000000000000000000, -0.6250000000000000000000000000 + 2.315032397181516766688913784*I, -0.6250000000000000000000000000 - 2.315032397181516766688913784*I]~, 1.981341956066883234169571676, 0.9906709780334416170847858383 + 1.325491239682486714334966291*I, -1.114903922580357283178519645 + 0.E-38*I, -0.5574519612901786415892598226 - 2.331444111357506469354477179*I, 2.626251405582016186497854968] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:16:37 2004 Input: E=ellinit([1,0,1,4,-6]); Output: Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:17:33 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] Output: 14 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:19:22 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] ellak(E,3) Output: 14 -2 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:20:48 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) Output: 14 4 6 6 7 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:20:53 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) Output: 14 4 6 6 7 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:42:58 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 09:48:43 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) ellpower(E,[9,23],3) Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: *** unknown function or error in formal parameters: ellpower(E,[9,23],3) ^-------------------- Timing: real 0m0.061s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.100) Time: Tue Jan 20 09:59:27 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 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 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (194.165.15.100) Time: Tue Jan 20 09:59:44 2004 Input: ?7 Output: 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 0m0.055s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:05:55 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] disc(E) 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: *** obsolete function: disc(E) ^------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: disc(x) ===> poldisc(x) poldisc(x,{v}): discriminant of the polynomial x, with respect to main variable if v is omitted, with respect to v otherwise. Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:06:09 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] discrim(E) 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: *** expected character: '=' instead of: discrim(E) ^ Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:06:38 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] elldisc(E) 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: *** expected character: '=' instead of: elldisc(E) ^ Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:07:06 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) ??? ellglobalred Output: 14 4 6 6 7 [6, [6], [[9, 23]]] ellak ellglobalred elltaniyama See also: Functions related to elliptic curves  Errors (if any) and Timing Info: Timing: real 0m0.359s user 0m0.250s sys 0m0.050s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:07:19 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) ? ellglobalred Output: 14 4 6 6 7 [6, [6], [[9, 23]]] ellglobalred(e): e being an elliptic curve, returns [N,[u,r,s,t],c], where N is the conductor of e, [u,r,s,t] leads to the standard model for e, and c is the product of the local Tamagawa numbers c_p. Errors (if any) and Timing Info: Timing: real 0m0.078s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:08:22 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) delta(E) Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: *** expected character: '=' instead of: delta(E) ^ Timing: real 0m0.062s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:09:08 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) ellglobalred(E)[3] Output: 14 4 6 6 7 [6, [6], [[9, 23]]] 6 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:11:13 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) help disc Output: 14 4 6 6 7 [6, [6], [[9, 23]]] helpdisc Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:11:19 2004 Input: E=ellinit([1,0,1,4,-6]); ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) ? disc Output: 14 4 6 6 7 [6, [6], [[9, 23]]] Errors (if any) and Timing Info: *** obsolete function: disc ^---- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: disc(x) ===> poldisc(x) poldisc(x,{v}): discriminant of the polynomial x, with respect to main variable if v is omitted, with respect to v otherwise. Timing: real 0m0.064s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:12:30 2004 Input: E=ellinit([0,-1,0,-4,4]); poldisc(x^3-x^2-4x+4) ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E); Output: 24 3 5 8 8 Errors (if any) and Timing Info: *** expected character: ',' instead of: poldisc(x^3-x^2-4x+4) ^---- Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:12:52 2004 Input: E=ellinit([0,-1,0,-4,4]); poldisc(x^3-x^2-4x+4,x) ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E); Output: 24 3 5 8 8 Errors (if any) and Timing Info: *** expected character: ',' instead of: poldisc(x^3-x^2-4x+4,x) ^------ Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:13:21 2004 Input: E=ellinit([0,-1,0,-4,4]); poldisc(x^3-x^2-4*x+4) ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E); Output: 144 24 3 5 8 8 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:40:51 2004 Input: E=ellinit([0,-1,0,-4,4]); poldisc(x^3-x^2-4*x+4) ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E); j(E) Output: 144 24 3 5 8 8 Errors (if any) and Timing Info: *** expected character: '=' instead of: j(E) ^ Timing: real 0m0.063s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 10:41:06 2004 Input: E=ellinit([0,-1,0,-4,4]); poldisc(x^3-x^2-4*x+4) ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E); ellj(E) Output: 144 24 3 5 8 8 Errors (if any) and Timing Info: *** bad argument for modular function. Timing: real 0m0.063s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Tue Jan 20 11:05:28 2004 Input: E=ellinit([0,-1,0,-4,4]); poldisc(x^3-x^2-4*x+4) ellglobalred(E)[1] 3-ellak(E,2) 4-ellak(E,3) 6-ellak(E,5) 8-ellak(E,7) elltors(E) Output: 144 24 3 5 8 8 [8, [4, 2], [[4, 6], [1, 0]]] Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dialup-67.75.105.117.Dial1.Stamford1.Level3.net. (67.75.105.117) Time: Tue Jan 20 20:58:03 2004 Input: > X := Matrix(IntegerRing(), 2, 2, [1,2, 3,4]); > X; Output: Errors (if any) and Timing Info: *** unexpected character: >X:=Matrix(IntegerRi ^-------------------- *** unexpected character: >X; ^--- Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host web-cache-3.ocs.mq.edu.au. (137.111.13.34) Time: Tue Jan 20 21:09:40 2004 Input: p 1000;ps 1000 classnum = 7 h(a,b,c)=a^(-1/4)*sqrt(norm(eta((b+sqrt(b^2-4*a*c))/(2*a),1))) z=exp(2*Pi*I/classnum) co(a,d)=local(r);bnf=bnfinit(polred(polcompositum(x^2-d,quadhilbert(d))[1])[7]);aut=nfgaloisconj(bnf);r=polroots(bnf.pol)[1];return(lindep([a,r^13,r^12,r^11,r^10,r^9,r^8,r^7,r^6,r^5,r^4,r^3,r^2,r,1])); pol(a,d)=local(c);c=co(a,d);return(Mod(Pol(c)/(-c[1])+x^(2*classnum),bnf.pol)); s=vector(classnum) sig(a,d)=local(p);p=pol(a,d);s[1]=p;for(y=1,classnum-1,s[y+1]=nfgaloisapply(bnf,aut[2],s[y]));return(s); t=vector(classnum) seval(a,d)=local(r);sig(a,d);r=polroots(bnf.pol)[1];x=r;for(y2=1,classnum,t[y2]=eval(s[y2].pol));return(t); initconjugates(a,d)=seval(a,d);kill(x); l(y)=log(sqrt(norm(y))) res(i)=sum(yval=1,classnum,z^((yval-1)*i)*l(t[yval])) m1 = h(1,1,18)^2/h(2,1,9)^2 m2 = h(2,1,9)^2/h(3,1,6)^2 m3 = h(3,1,6)^2/h(4,3,5)^2 L0X(j)=-log(m1)-(1+z^(j)+z^(6*j))*log(m2)+(z^(3*j)+z^(4*j))*log(m3) initconjugates(m1,-71) Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed. ************** PARI ***************** Host web-cache-3.ocs.mq.edu.au. (137.111.13.34) Time: Tue Jan 20 21:10:44 2004 Input: p 1000;ps 1000 classnum = 7 h(a,b,c)=a^(-1/4)*sqrt(norm(eta((b+sqrt(b^2-4*a*c))/(2*a),1))) z=exp(2*Pi*I/classnum) co(a,d)=local(r);bnf=bnfinit(polred(polcompositum(x^2-d,quadhilbert(d))[1])[7]);aut=nfgaloisconj(bnf);r=polroots(bnf.pol)[1];return(lindep([a,r^13,r^12,r^11,r^10,r^9,r^8,r^7,r^6,r^5,r^4,r^3,r^2,r,1])); pol(a,d)=local(c);c=co(a,d);return(Mod(Pol(c)/(-c[1])+x^(2*classnum),bnf.pol)); s=vector(classnum) sig(a,d)=local(p);p=pol(a,d);s[1]=p;for(y=1,classnum-1,s[y+1]=nfgaloisapply(bnf,aut[2],s[y]));return(s); t=vector(classnum) seval(a,d)=local(r);sig(a,d);r=polroots(bnf.pol)[1];x=r;for(y2=1,classnum,t[y2]=eval(s[y2].pol));return(t); initconjugates(a,d)=seval(a,d);kill(x); l(y)=log(sqrt(norm(y))) res(i)=sum(yval=1,classnum,z^((yval-1)*i)*l(t[yval])) m1 = h(1,1,18)^2/h(2,1,9)^2 m2 = h(2,1,9)^2/h(3,1,6)^2 m3 = h(3,1,6)^2/h(4,3,5)^2 L0X(j)=-log(m1)-(1+z^(j)+z^(6*j))*log(m2)+(z^(3*j)+z^(4*j))*log(m3) initconjugates(m1,-71) Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed. ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:23:55 2004 Input: E=ellinit([0,-1,0,-4,4]); ellak(E,5) Output: -2 Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:25:26 2004 Input: E=ellinit([0,-1,0,-4,4]); for(n=1,10,p=3*n+2,if(isprime(p),ellak(E,p),)) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: for(n=1,10,p=3*n+2 *** ,if(isprime(p),ellak ^-------------------- Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:25:40 2004 Input: E=ellinit([0,-1,0,-4,4]); for(n=1,10,p=3*n+2;if(isprime(p),ellak(E,p),)) Output: Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:25:53 2004 Input: E=ellinit([0,-1,0,-4,4]); for(n=1,10,p=3*n+2;if(isprime(p),print(ellak(E,p)),)) Output: -2 4 2 -8 6 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:26:05 2004 Input: E=ellinit([0,-1,0,-4,4]); for(n=1,30,p=3*n+2;if(isprime(p),print(ellak(E,p)),)) Output: -2 4 2 -8 6 -6 0 -2 4 8 -4 -6 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:27:14 2004 Input: E=ellinit([0,-1,0,-4,4]); for(n=1,50,p=3*n+2;if(isprime(p),print(ellak(E,p)),)) Output: -2 4 2 -8 6 -6 0 -2 4 8 -4 -6 -18 -12 18 -4 -6 14 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:33:14 2004 Input: E=ellinit([0,-1,0,-4,4]);ellj(E) for(n=1,50,p=3*n+2;if(isprime(p),print(ellak(E,p)),)); Output: Errors (if any) and Timing Info: *** bad argument for modular function. *** bad argument for an elliptic curve related function Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 04:45:18 2004 Input: E:=EllipticCurve([0,-1,0,-4,4]) jInvariant(E) Output: Errors (if any) and Timing Info: *** unexpected character: E:=EllipticCurve([0,-1 ^-------------------- *** expected character: '=' instead of: jInvariant(E) ^ Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host fw-gw-atm.mimuw.edu.pl. (193.0.96.15) Time: Wed Jan 21 07:57:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 09:47:51 2004 Input: E=ellinit([1,1,1,-30,-76]) for(n=1,10,p=3*n+2;if(isprime(p),print(p,ellak(E,p)),)); Output: [1, 1, 1, -30, -76, 5, -59, -303, -1249, 1441, 54703, -121, -24729001, [5.910108859108164430749262377, -3.580054429554082215374631188 + 0.01526701752830331222597821170*I, -3.580054429554082215374631188 - 0.01526701752830331222597821170*I]~, 1.019794861782916556837117278, 0.5098974308914582784185586391 + 2.763008673400832787307062166*I, -1.613006424023573219926624190 + 0.E-28*I, -0.8065032120117866099633120954 - 7.450854753409852605074951432*I, 2.817702048195801906706119140] 51 110 175 232 29-9 Errors (if any) and Timing Info: Timing: real 0m0.067s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 09:47:56 2004 Input: E=ellinit([1,1,1,-30,-76]); for(n=1,10,p=3*n+2;if(isprime(p),print(p,ellak(E,p)),)); Output: 51 110 175 232 29-9 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Wed Jan 21 09:48:24 2004 Input: E=ellinit([1,1,1,-30,-76]); for(n=1,10,p=3*n+2;if(isprime(p),print([p,ellak(E,p)]),)); Output: [5, 1] [11, 0] [17, 5] [23, 2] [29, -9] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host love314-mcbane.me.gatech.edu. (128.61.141.157) Time: Wed Jan 21 10:04:38 2004 Input: a=10 b=5 a/b Output: 10 5 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host love314-mcbane.me.gatech.edu. (128.61.141.157) Time: Wed Jan 21 10:04:58 2004 Input: a=[10 5;4 5] b=5 a/b Output: [105] [45] 5 [21] [9] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host love314-mcbane.me.gatech.edu. (128.61.141.157) Time: Wed Jan 21 10:05:10 2004 Input: a=[10, 5;4, 5] b=5 a/b Output: [10 5] [4 5] 5 [2 1] [4/5 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host love314-mcbane.me.gatech.edu. (128.61.141.157) Time: Wed Jan 21 10:05:38 2004 Input: a=[10, 5;4, 5] b=5 a/b inv(a) Output: [10 5] [4 5] 5 [2 1] [4/5 1] Errors (if any) and Timing Info: *** expected character: '=' instead of: inv(a) ^ Timing: real 0m0.067s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host love314-mcbane.me.gatech.edu. (128.61.141.157) Time: Wed Jan 21 10:05:52 2004 Input: a=[10, 5;4, 5] b=5 a/b inverse(a) Output: [10 5] [4 5] 5 [2 1] [4/5 1] Errors (if any) and Timing Info: *** expected character: '=' instead of: inverse(a) ^ Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host s02a.gnmipr.gm.com. (198.208.223.35) Time: Wed Jan 21 14:49:45 2004 Input: 2*2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host s02a.gnmipr.gm.com. (198.208.223.35) Time: Wed Jan 21 14:49:55 2004 Input: 2789*972 Output: 2710908 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host s02a.gnmipr.gm.com. (198.208.223.35) Time: Wed Jan 21 14:49:57 2004 Input: 2789*972 Output: 2710908 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host s02a.gnmipr.gm.com. (198.208.223.35) Time: Wed Jan 21 14:50:16 2004 Input: 123456789*123456789 Output: 15241578750190521 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gauss02.uni-math.gwdg.de. (134.76.82.92) Time: Wed Jan 21 15:18:00 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.115s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gauss02.uni-math.gwdg.de. (134.76.82.92) Time: Wed Jan 21 15:18:07 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host gauss02.uni-math.gwdg.de. (134.76.82.92) Time: Wed Jan 21 15:18:28 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host pub-708c-9.Math.Berkeley.EDU. (169.229.58.104) Time: Wed Jan 21 16:21:54 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:33:30 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),); ^ Timing: real 0m0.089s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:34:14 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),); ^ Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:34:21 2004 Input: E:=ellinit([1,1,1,-30,-76]); for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: Errors (if any) and Timing Info: *** unexpected character: E:=ellinit([1,1,1,-30, ^-------------------- *** expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),); ^ Timing: real 0m0.076s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:34:48 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3); for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: ...rint(ellak(E,l)^2-4*l),); ^ Timing: real 0m0.074s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:35:09 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3); % for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:35:17 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3); & for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: Errors (if any) and Timing Info: *** unused characters: &for(l=3,10,if(isprime(l ^-------------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:35:23 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3); // for(l=3,10, if( isprime(l) , print(ellak(E,l)^2-4*l) , ); Output: Errors (if any) and Timing Info: *** unexpected character: //for(l=3,10,if(ispr ^-------------------- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:35:48 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3); Output: Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:35:53 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3) Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:36:02 2004 Input: E=ellinit([1,1,1,-30,-76]); ellak(E,3) ellak(E,3) Output: 2 2 Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.030s sys 0m0.050s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:37:22 2004 Input: E=ellinit([1,1,1,-30,-76]); print(ellak(E,3)); for(l=3,11, if( isprime(l) , print(ellak Output: 2 Errors (if any) and Timing Info: *** expected character: '(' instead of: ...if(isprime(l),print(ellak ^ Timing: real 0m0.062s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:37:47 2004 Input: E=ellinit([1,1,1,-30,-76]); print(ellak(E,3)); for(l=3,11, if( isprime(l) , print(ellak(E,l)^2-4*l) )) Output: 2 -8 -19 -24 -44 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:38:03 2004 Input: E=ellinit([1,1,1,-30,-76]); print(ellak(E,3)); for(l=3,11, if( isprime(l) , print(ellak(E,l)^2-4*l mod 11) )) Output: 2 -4*lmod11 + 4 -4*lmod11 + 1 -4*lmod11 + 4 -4*lmod11 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:38:14 2004 Input: E=ellinit([1,1,1,-30,-76]); print(ellak(E,3)); for(l=3,11, if( isprime(l) , print(ellak(E,l)^2-4*l ) )) Output: 2 -8 -19 -24 -44 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:39:06 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2-4*l ) )); Output: -8 -19 -24 -44 Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:39:47 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2-4*l ) )); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); Output: -8 -19 -24 -44 4/3 1/5 4/7 0 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.010s sys 0m0.040s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:40:54 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( legendre(ellak(E,l)^2-4*l,11) ) )); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); Output: 4/3 1/5 4/7 0 Errors (if any) and Timing Info: *** obsolete function: if(isprime(l),print(legendre(ellak(E,l)^ ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: legendre(n) ===> pollegendre(n) pollegendre(n,{v=x}): legendre polynomial of degree n (n C-integer), in variable v. Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:42:57 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2-4*l ) )); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); Output: -8 -19 -24 -44 4/3 1/5 4/7 0 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:43:17 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2-4*l ) )); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); Output: -8 -19 -24 -44 4/3 1/5 4/7 0 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:43:37 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l)^2-4*l ) )); /* for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); */ Output: -8 -19 -24 -44 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:44:32 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l),ellak(E,l)^2-4*l ) )); /* for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); */ Output: 2-8 1-19 2-24 0-44 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:44:49 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=3,11, if( isprime(l) , print( ellak(E,l)," ",ellak(E,l)^2-4*l ) )); /* for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); */ Output: 2 -8 1 -19 2 -24 0 -44 Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Donnelly.iuhb02.iu-bremen.de. (212.201.48.249) Time: Thu Jan 22 06:45:48 2004 Input: E=ellinit([1,1,1,-30,-76]); for(l=13,50, if( isprime(l) , print( ellak(E,l)," ",ellak(E,l)^2-4*l ) )); /* for(l=3,11, if( isprime(l) , print( ellak(E,l)^2/l ) )); */ Output: -1 -51 5 -43 -6 -40 2 -88 -9 -35 -2 -120 -3 -139 5 -139 0 -172 2 -184 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host penduick28.etu.univ-rennes1.fr. (148.60.40.28) Time: Thu Jan 22 11:58:06 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.080s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 80-218-10-211.dclient.hispeed.ch. (80.218.10.211) Time: Thu Jan 22 17:53:15 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 80-218-10-211.dclient.hispeed.ch. (80.218.10.211) Time: Thu Jan 22 17:53:34 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host v157.tekom.odessa.ua. (195.138.81.157) Time: Thu Jan 22 23:49:32 2004 Input: 2*2-0.23 Output: 3.770000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host v157.tekom.odessa.ua. (195.138.81.157) Time: Thu Jan 22 23:50:10 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 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 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host v157.tekom.odessa.ua. (195.138.81.157) Time: Thu Jan 22 23:51:28 2004 Input: factorial(80)/factorial(160) Output: 1.517998987255682940315520747 E-166 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host v157.tekom.odessa.ua. (195.138.81.157) Time: Thu Jan 22 23:52:24 2004 Input: ?12 Output: The standard distribution of GP/PARI includes a reference manual, a tutorial, a reference card and quite a few examples. They should have been installed in the directory '/usr/local/lib/pari'. If not you should ask the person who installed PARI on your system where they can be found. You can also download them from the PARI WWW site 'http://www.parigp-home.de/'. Three mailing lists are devoted to PARI: - pari-announce (moderated) to announce major version changes. - pari-dev for everything related to the development of PARI, including suggestions, technical questions, bug reports and patch submissions. - pari-users for everything else! To subscribe, send an empty message to -subscribe@list.cr.yp.to. You can only send messages to the lists you have subscribed to! An archive is kept at the WWW site mentioned above. You can also reach the authors directly by email: pari@math.u-bordeaux.fr (answer not guaranteed). Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Fri Jan 23 01:30:48 2004 Input: d=(20^eulerphi(20))/((2^(eulerphi(20)))*(5^(eulerphi(20)/4))) Output: 4000000 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host c-24-6-87-110.client.comcast.net. (24.6.87.110) Time: Fri Jan 23 01:32:35 2004 Input: ((20)!/20^20)*(4/Pi)^4*sqrt(4000000) Output: 0.0001219537541178089335610464218 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roc-66-67-200-73.rochester.rr.com. (66.67.200.73) Time: Fri Jan 23 10:03:19 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:55:07 2004 Input: contfrac(sqrt(2)) Output: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:55:25 2004 Input: contfrac(sqrt(3)) Output: [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:55:43 2004 Input: contfrac(sqrt(5)) Output: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:55:53 2004 Input: contfrac(sqrt(6)) Output: [2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2] Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:56:05 2004 Input: contfrac(sqrt(7)) Output: [2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:56:58 2004 Input: contfrac(sqrt(8)) Output: [2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 10:59:45 2004 Input: contfrac(sqrt(8)) Output: [2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 5] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 11:00:59 2004 Input: contfrac(sqrt(10)) Output: [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 11:01:09 2004 Input: contfrac(sqrt(11)) Output: [3, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 11:01:19 2004 Input: contfrac(sqrt(12)) Output: [3, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 11:01:31 2004 Input: contfrac(sqrt(13)) Output: [3, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 7] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 11:01:52 2004 Input: contfrac(sqrt(14)) Output: [3, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Fri Jan 23 11:02:03 2004 Input: contfrac(sqrt(15)) Output: [3, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (65.241.52.198) Time: Fri Jan 23 14:30:10 2004 Input: 52! Output: 80658175170943878571660636856403766975289505440883277824000000000000 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (65.241.52.198) Time: Fri Jan 23 14:30:45 2004 Input: 52!/60/60/24/365.25 Output: 2.555903337736199158733890944 E60 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (65.241.52.198) Time: Fri Jan 23 14:31:11 2004 Input: floor(52!/60/60/24/365.25) Output: Errors (if any) and Timing Info: *** precision loss in truncation Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (65.241.52.198) Time: Fri Jan 23 14:32:04 2004 Input: floor(52!/(60*60*24*365.2425)) Output: Errors (if any) and Timing Info: *** precision loss in truncation Timing: real 0m0.067s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (65.241.52.198) Time: Fri Jan 23 14:33:13 2004 Input: 52!/(60*60*24*3652425) Output: 197575384996433173064032522184018633586345055459737600000000/773 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ip-221.net-81-220-87.toulouse.rev.numericable.fr. (81.220.87.221) Time: Fri Jan 23 16:04:46 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ip-221.net-81-220-87.toulouse.rev.numericable.fr. (81.220.87.221) Time: Fri Jan 23 16:05:18 2004 Input: 1+1 Output: 2 Errors (if any) and Timing Info: Timing: real 0m0.062s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host tow25dhcp183.towson01.md.comcast.net. (68.33.25.183) Time: Fri Jan 23 16:13:46 2004 Input: AHAH Output: AHAH Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host tow25dhcp183.towson01.md.comcast.net. (68.33.25.183) Time: Fri Jan 23 16:13:46 2004 Input: AHAH Output: AHAH Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 62-237-72-80.hpna.wlannet.com. (62.237.72.80) Time: Fri Jan 23 16:14:12 2004 Input: sdfasdfasdf Output: sdfasdfasdf Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (217.76.104.138) Time: Fri Jan 23 16:14:23 2004 Input: 123 Output: 123 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host pcp486497pcs.howard01.md.comcast.net. (68.55.18.94) Time: Fri Jan 23 18:20:58 2004 Input: 2 + 2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host du-011-0088.freeuk.com. (212.126.154.88) Time: Sun Jan 25 13:03:34 2004 Input: 44^44 Output: 2050773823560610053645205609172376035486179836520607547294916966189367296 Errors (if any) and Timing Info: Timing: real 0m0.102s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host du-011-0088.freeuk.com. (212.126.154.88) Time: Sun Jan 25 13:03:57 2004 Input: 44^44 Output: 2050773823560610053645205609172376035486179836520607547294916966189367296 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host du-011-0088.freeuk.com. (212.126.154.88) Time: Sun Jan 25 13:04:08 2004 Input: 444^444 Output: 274181867963021452236233098115415899720776205798649755793667915961236790274589588340150992768838522033181214516284285332773163064469482041901003908126050422955612888919193934414520264211619150516791746766169089527422112735455691316517219258451182646508224779320212392542987483229069236254216598092621103632551390087850968989089099464497128935323467029182130683400149701073650091196852136571107489847564227504319046561398518922741929687815408469723169188873887882230322166952158753390120554531578647460220302381245259634634469767947795755147705092032914527384068630183109187993236769944866212774292942582416757317197927837501391362584057134071021551533313131406893521078023657100146103388103428321685173807760191113376709657657395886097014206038723956927777772422903690643103118361188528532331570074306316944892941075080102793904295150057658633501250162034388403842338437258226367135375352848005596082763545270786578951069417785335762883852191304642416990955392728403464665816357313934692154694224918478621155151771588457206018359592714202916841031166217552839560214893121104836629359007910041332262083007051081312403504450964912888379989399053705177940430208243717095550877696 Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host du-011-0088.freeuk.com. (212.126.154.88) Time: Sun Jan 25 13:04:21 2004 Input: 4444^4444 Output: 51036325037255080482040250195524395924782475482284514747828975986739479076862531615833001864027197875434172496782212810360936998814871028023280409517604289704232997250059817651452033902564981053474342143982434477010055077902971385879578097026795047013927210448069737612599735362894194645352399692361078824902286318374845566910211826792995098340076750261275207380564696757508258866109492489008027054745680387374032086494559412870696129709065543691586334825135439896393158947581127115655037247166912914512319390738590640498634195625879446208894955914635034539916382798196213477934038238442489518643389819322763837231638995434876736816619770138446121390713888522791536946903634459632202283685832172716842435855510281455739906068471774207538472233042602654906987502020125355985174905073230021003332170469140247237244791060151179276706887404173003683055711061565810462576130616749856799781002110356843640353389697516105223217210103014498528306981517615490248684606667345224474348209121691273006311131751894943803682584935085740780294725135881300910139685500678650664234655503263565369409930765042230344332922608368160388778788884646783931717914556412663681132017810017876756080237495986180628149778075630681683591162326934481582867517270565879385831508832179085202869797913623439391361789109534083973333868667373983317982638572836694588790263878531057321976457926706035794868607608000143128674258835749966110713648807550164642010195262398183937258284226451876181050405347824263231418489797089530605962873018298377904732924409245273472327709725894372282581058105524768663834139458191519630744589334410903481777861176889172389729459938914093278379923249077505369097142894400504292204972847535451294121869487522728274420380832944409608875582828867828954197345766989736271752262574052524120907677713841267414723824130389733862221839461701104193136612118363646182343780367533924798552314345440639416532935766910365326476064001062650439978986012613987836953446823328289018854743984831229989513368552344528366528946668277450956579664476698698885070608528868908111446990296036082707295422437498210126018245317186940472025919131910253989876920575814124256871659639320221224077385578352633571849429475276431189292090749302555041209922023332951651543444331299226763535432904707263476043787719983745748717480573667954495246311916624921943890202395518185431320767988580847947776915325464644299195013041220210205633708318303125892843920543505189879552980904823153381789682321967075253543745292851858094342413804502283186371602546057238458117043544418057384120943532580155301403058643552474493180342399235704855733869062287425023484735796769739544602182545742884488193642040911298424695109308187173595023672783492809262968798087358959434038837430012625131591133659217967823611347405958524526761075933856486406418498051232221083011321212500132046393237242013712920493373344264333908560825994557724645284878202710188644471617856313308716424505617800507511537779281500711830120905910660921253482993943955008380295422529597530517295272711434751373008436807762561135017027186247688032009272581704436132546155134721473880825079177160955223780677219678433502729700278074401926182830254603399513829993142929857388403374970772760874169394709868564511659882097055434991242192905557305121043626131448358657169258733625263781589882596980551044501739635559777554180414767408625727263397938235392611846506923430547435639632653715759798163299353598450502659980053847341549979536485533374417981344585777831913637495528436408273284344143251860794994623002364275788357898174586933809803529995199669549788973653323309952532823803289549965974624000722832093785514980924652516482515851200807081969699906466651892169655557373657152851157852684704918682011477489156069723781227666168420881320735023475233908968720310190825736586213239037243220048657578805360944016440781006626608828743161303712574375577649933225532651050545140041874017741023508427656767689065668130401769027151944649429611356508622419636497843616839733378873568423125359771873606835205422792731727757560994851502223732734474706040309843864498501849591435827118166412237796262100139892025690084293327010312257645197663545951270607774391829880728221106093312903241196615084223406747347511355606911250776846847504818687953378149563999211135192267588652390035544532377329198071915314030957493059007692692874887653124427108176927564311114294162352327908126401618689986841523872090872302734801513886689193125816660511991658004864418535953189435072045784455379328488152720292135875359370818523073632235999955560096920959353029918712650480503579008169962642053112282387206511169150739976823577289086369441166995256367827923437835419123223095040378846316251345016228949289846720433174619937560455378596315532968385243164693560657516484944148695965324488849710057293245594493054144125301383618793154325438553456395029494822177859020897215350982592844274046353318091605614965118200898804114383826069406964847820436615643622261068438963617832290603017594755753950537202287361798424395102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 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.145s user 0m0.090s sys 0m0.050s ************** PARI ***************** Host p2182-adsau04yokonib2-acca.kanagawa.ocn.ne.jp. (220.104.197.182) Time: Mon Jan 26 08:43:58 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.050s sys 0m0.000s ************** PARI ***************** Host p2182-adsau04yokonib2-acca.kanagawa.ocn.ne.jp. (220.104.197.182) Time: Mon Jan 26 08:45:20 2004 Input: prime element Output: primeelement Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host p2182-adsau04yokonib2-acca.kanagawa.ocn.ne.jp. (220.104.197.182) Time: Mon Jan 26 08:45:57 2004 Input: prime element Output: primeelement Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host naifmac.jpl.nasa.gov. (137.78.102.97) Time: Mon Jan 26 20:35:55 2004 Input: sin(x) Output: x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.075s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host naifmac.jpl.nasa.gov. (137.78.102.97) Time: Mon Jan 26 20:36:14 2004 Input: sin(x) + cos(x) Output: 1 + x - 1/2*x^2 - 1/6*x^3 + 1/24*x^4 + 1/120*x^5 - 1/720*x^6 - 1/5040*x^7 + 1/40320*x^8 + 1/362880*x^9 - 1/3628800*x^10 - 1/39916800*x^11 + 1/479001600*x^12 + 1/6227020800*x^13 - 1/87178291200*x^14 - 1/1307674368000*x^15 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host naifmac.jpl.nasa.gov. (137.78.102.97) Time: Mon Jan 26 20:36:30 2004 Input: sin(x)*cos(x) Output: x - 2/3*x^3 + 2/15*x^5 - 4/315*x^7 + 2/2835*x^9 - 4/155925*x^11 + 4/6081075*x^13 - 8/638512875*x^15 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host naifmac.jpl.nasa.gov. (137.78.102.97) Time: Mon Jan 26 20:36:50 2004 Input: 12! Output: 479001600 Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-24-17-30-82.client.comcast.net. (24.17.30.82) Time: Tue Jan 27 11:34:59 2004 Input: IsPrime(7) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: IsPrime(7) ^---------- Timing: real 0m0.096s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host du-003-0053.freeuk.com. (212.126.145.53) Time: Tue Jan 27 15:28:11 2004 Input: 4444^4444 Output: 5103632503725508048204025019552439592478247548228451474782897598673947907686253161583300186402719787543417249678221281036093699881487102802328040951760428970423299725005981765145203390256498105347434214398243447701005507790297138587957809702679504701392721044806973761259973536289419464535239969236107882490228631837484556691021182679299509834007675026127520738056469675750825886610949248900802705474568038737403208649455941287069612970906554369158633482513543989639315894758112711565503724716691291451231939073859064049863419562587944620889495591463503453991638279819621347793403823844248951864338981932276383723163899543487673681661977013844612139071388852279153694690363445963220228368583217271684243585551028145573990606847177420753847223304260265490698750202012535598517490507323002100333217046914024723724479106015117927670688740417300368305571106156581046257613061674985679978100211035684364035338969751610522321721010301449852830698151761549024868460666734522447434820912169127300631113175189494380368258493508574078029472513588130091013968550067865066423465550326356536940993076504223034433292260836816038877878888464678393171791455641266368113201781001787675608023749598618062814977807563068168359116232693448158286751727056587938583150883217908520286979791362343939136178910953408397333386866737398331798263857283669458879026387853105732197645792670603579486860760800014312867425883574996611071364880755016464201019526239818393725828422645187618105040534782426323141848979708953060596287301829837790473292440924527347232770972589437228258105810552476866383413945819151963074458933441090348177786117688917238972945993891409327837992324907750536909714289440050429220497284753545129412186948752272827442038083294440960887558282886782895419734576698973627175226257405252412090767771384126741472382413038973386222183946170110419313661211836364618234378036753392479855231434544063941653293576691036532647606400106265043997898601261398783695344682332828901885474398483122998951336855234452836652894666827745095657966447669869888507060852886890811144699029603608270729542243749821012601824531718694047202591913191025398987692057581412425687165963932022122407738557835263357184942947527643118929209074930255504120992202333295165154344433129922676353543290470726347604378771998374574871748057366795449524631191662492194389020239551818543132076798858084794777691532546464429919501304122021020563370831830312589284392054350518987955298090482315338178968232196707525354374529285185809434241380450228318637160254605723845811704354441805738412094353258015530140305864355247449318034239923570485573386906228742502348473579676973954460218254574288448819364204091129842469510930818717359502367278349280926296879808735895943403883743001262513159113365921796782361134740595852452676107593385648640641849805123222108301132121250013204639323724201371292049337334426433390856082599455772464528487820271018864447161785631330871642450561780050751153777928150071183012090591066092125348299394395500838029542252959753051729527271143475137300843680776256113501702718624768803200927258170443613254615513472147388082507917716095522378067721967843350272970027807440192618283025460339951382999314292985738840337497077276087416939470986856451165988209705543499124219290555730512104362613144835865716925873362526378158988259698055104450173963555977755418041476740862572726339793823539261184650692343054743563963265371575979816329935359845050265998005384734154997953648553337441798134458577783191363749552843640827328434414325186079499462300236427578835789817458693380980352999519966954978897365332330995253282380328954996597462400072283209378551498092465251648251585120080708196969990646665189216965555737365715285115785268470491868201147748915606972378122766616842088132073502347523390896872031019082573658621323903724322004865757880536094401644078100662660882874316130371257437557764993322553265105054514004187401774102350842765676768906566813040176902715194464942961135650862241963649784361683973337887356842312535977187360683520542279273172775756099485150222373273447470604030984386449850184959143582711816641223779626210013989202569008429332701031225764519766354595127060777439182988072822110609331290324119661508422340674734751135560691125077684684750481868795337814956399921113519226758865239003554453237732919807191531403095749305900769269287488765312442710817692756431111429416235232790812640161868998684152387209087230273480151388668919312581666051199165800486441853595318943507204578445537932848815272029213587535937081852307363223599995556009692095935302991871265048050357900816996264205311228238720651116915073997682357728908636944116699525636782792343783541912322309504037884631625134501622894928984672043317461993756045537859631553296838524316469356065751648494414869596532448884971005729324559449305414412530138361879315432543855345639502949482217785902089721535098259284427404635331809160561496511820089880411438382606940696484782043661564362226106843896361783229060301759475575395053720228736179842439510276132562874051149340010817121271870900538251197889890806112689893305888021955543957697473838211321643734213536267226323153592219663624263296626761779778234962076654951909120587740700304612400650030922203405373437185708555406200484092683265246792108020875074340363564691479018798533498495287512351177800185710306124538624908276346171684319237848961831794499812003633131809265200601265513068237247598729136246677949103639240665201143412590830017220107545930141396706406379312681280708386422117719450505613665258084474495255089381662647651993632286219270721897068113223937716814718380121189692674846495176959745099855186807071863571180666691557991007019889742565299934958746240453163112046422973837930092020111165780496459962995272470154232339198534096867286006066963303427522567415561858818264102457439106286574658901754967121024213569232027690919235644900114042933242401016870472823232021092971693772467674980038137617059600306942677185824529032560790108152636810931666876309699712636318124581350724428036646664893228127812637378539504360178643276370903070205024013382898639088038527398692956972045807251709679502730547108593866880765469894801562257354604681818348357421007647642431412697116868939267412150910191824650495599388431520928200130171902196632101339597649699169214242522353508791756559650743592499115866749752816161713263445978738445945062241172330248066415406556053193408520093501247929286780453750433057879694015330586585777847021100588208730401112190351695709917616759211778948894685301304552737512486706568604303842632285781336680301578629414563224800133745968848369125734466775680881076395169758929151508917847123374639130844372368251827997933771835930906060269369033056012127425470105867434809142393247347139809050284303855233598544330321844412827316844546154452587584730154906749663345496641028982920703923713119949632098286432311475827768707958948212730701883890947308636147017442515560541609861079308261066688265774188255309318804848617643450161495549550819622829958383583967550253233252376269646380412967827885908248264227274222209752388892149494363575365908334005440623724567528250163243316691081914000483567266462625465694510019817760972676179393874499876413225560983684128123190188925572062763243152456341433579485538794063898392157866857282062636536933248629871066383835278632615674946872658381712677383814077586686885475041016455346246966010947424390327216541945623743108518544899586638918932868402607914610120955885411151278442351365384604942184431570679447301750871929933126244277478021560416421493578168080081211305485503973969553588968922298314517655337893181347680818018179774617512736265726317285853252744533079545363081731335380594744527260227285975512816535024569990928279081235014238973953200166526410614520349431506071407757237765114611578731230702251206444934024143706471442881146162766129614838362421724589185290046088836410040684215782177934284279935593151231471848019934128498980619206424501373180294032016931492146509899643960756782709129924388627683238297554375807096311778949062465846167758183047054719858165271416391798180316103986938124744099620521384317907136599718524484951570932446599358003982558877937640382619629537673398091803476018659432786896430016307207099366760813719843974589462283096467057735706814098791301647286933270174519472835441434398724077519718387218455099757571179328376524834569679854418775134261204508085262832202116797713191261303862500811984940542984669420488718317223624286228833679094771214906190122069146305465508936400689876628070011103408510606919594269999638625770005626017492523797890236162873818398973726653672765659018643008643410406689955598497043062669911339342775938753574968256548576873344197688401257294059685610888708449303272982623847661005981228784153168185774299866462325859291903485003475620155889277543198895554594051171715895055495486034595904571029634647547706308688813658431163710054789832041512428426505068161105150988954540112065162443912214976496396858657466135999045514311035191321652192323842998006078647072708181697496966241035548875930875115568893160317567583836193538432689661991040144993512953812281767287128400206927365767492414875971554590152094779911485765636540451731821671575236506524336798074887068255342495799418247247771372142841234850010132319343743177056148129377153581570970068560101898874969988379653338032155192597040421193070372281487014738304302435089907612783934505587181870491500702277462307958352729456951928138016614788565512000480852367431082772590887435500254665714845790505371032347103281992340947593930321523400969614546891287784544415742870572532426984511887330746475043270212236339570840281380926695444517641695405068039063440421072166927014811035974591317906062301218379603424144217986461663769539858127810044325151369019018160832019727795761861858610306584353690362458575272112307285748440700188469576310414185227778797233157800767597454753457305195167590628776623200907747700954629944611426614847085390898512300958755541697242022190375735995080872111971894520284073146272 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.150s user 0m0.090s sys 0m0.060s ************** PARI ***************** Host user-vc8frgq.biz.mindspring.com. (216.135.238.26) Time: Tue Jan 27 16:38:56 2004 Input: 36!^1/4) Output: Errors (if any) and Timing Info: *** unused characters: 36!^1/4) ^- Timing: real 0m0.064s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host hecate.telcordia.com. (192.4.209.5) Time: Tue Jan 27 18:49:27 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.072s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host 39.220.27.24.cfl.rr.com. (24.27.220.39) Time: Tue Jan 27 19:13:18 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (202.128.229.42) Time: Tue Jan 27 22:17:33 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:54:15 2004 Input: contfrac(sqrt(433)) Output: [20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40, 1, 4, 4, 2, 2, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:55:21 2004 Input: pnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1]) Output: Errors (if any) and Timing Info: *** obsolete function: pnqn([20,1,4,4,2,2,1 ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: pnqn(x) ===> contfracpnqn(x) contfracpnqn(x): [p_n,p_{n-1}; q_n,q_{n-1}] corresponding to the continued fraction x. Timing: real 0m0.093s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:55:37 2004 Input: pnqn{[20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1]} Output: Errors (if any) and Timing Info: *** unused characters: pnqn{[20,1,4,4,2,2,1,3,1 ^-------------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:55:58 2004 Input: pnqn({20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1}) Output: Errors (if any) and Timing Info: *** unexpected character: pnqn({20,1,4,4,2,2,1,3,13 ^-------------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:56:07 2004 Input: pnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1]) Output: Errors (if any) and Timing Info: *** obsolete function: pnqn([20,1,4,4,2,2,1 ^-------------------- For full compatibility with GP 1.39, type "default(compatible,3)" (you can also set "compatible = 3" in your GPRC file). New syntax: pnqn(x) ===> contfracpnqn(x) contfracpnqn(x): [p_n,p_{n-1}; q_n,q_{n-1}] corresponding to the continued fraction x. Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:56:27 2004 Input: contfracpnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1]) Output: [7230660684 5847088561] [347483377 280993144] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:57:30 2004 Input: (7230660684)^2 - 433(347483377^2) Output: Errors (if any) and Timing Info: *** unused characters: (7230660684)^2-433(347483377^2) ^------------- Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Tue Jan 27 23:57:51 2004 Input: 7230660684^2 - 433*(347483377^2) Output: -1 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Wed Jan 28 00:08:12 2004 Input: contfrac(sqrt(433)) Output: [20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40, 1, 4, 4, 2, 2, 1, 3] Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Wed Jan 28 00:08:39 2004 Input: contfracpnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40]) Output: [295073515921 7230660684] [14180328224 347483377] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Wed Jan 28 00:09:09 2004 Input: 295073515921^2 - 433*(14180328224^2) Output: 33 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Wed Jan 28 00:09:56 2004 Input: contfracpnqn([20, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40, 1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1]) Output: [104564907854286695713 84556626747777671428] [5025068784834899736 4063532157588700993] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Wed Jan 28 00:10:29 2004 Input: 104564907854286695713^2 - 433*(5025068784834899736^2) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host spc-14.csse.uwa.edu.au. (130.95.1.14) Time: Wed Jan 28 03:57:37 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.064s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (218.52.49.253) Time: Wed Jan 28 07:25:21 2004 Input: 1/7 Output: 1/7 Errors (if any) and Timing Info: Timing: real 0m0.128s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.52.49.253) Time: Wed Jan 28 07:25:53 2004 Input: 1./7 Output: 0.1428571428571428571428571428 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.39.19.105) Time: Wed Jan 28 07:26:04 2004 Input: 1./7. Output: 0.1428571428571428571428571428 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (218.52.49.253) Time: Wed Jan 28 07:27:37 2004 Input: cos(30) Output: 0.1542514498875840507186621468 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.39.19.104) Time: Wed Jan 28 07:28:00 2004 Input: cos(60) Output: -0.9524129804151562926938165958 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.39.19.104) Time: Wed Jan 28 07:28:14 2004 Input: cos(3.14) Output: -0.9999987317275395452851143063 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host sub5-03.stud.uni-goettingen.de. (134.76.60.136) Time: Wed Jan 28 14:00:57 2004 Input: ?2 Output: List Mat Mod Pol Polrev Qfb Ser Set Str Vec binary bitand bitneg bitnegimply bitor bittest bitxor ceil centerlift changevar component conj conjvec denominator floor frac imag length lift norm norml2 numerator numtoperm padicprec permtonum precision random real round simplify sizebyte sizedigit truncate valuation variable Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host sub5-03.stud.uni-goettingen.de. (134.76.60.136) Time: Wed Jan 28 14:01:17 2004 Input: ? Output: Help topics: 0: list of user-defined identifiers (variable, alias, function) 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 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host sub5-03.stud.uni-goettingen.de. (134.76.60.136) Time: Wed Jan 28 14:01:32 2004 Input: ?4 Output: 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 0m0.074s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host sub5-03.stud.uni-goettingen.de. (134.76.60.136) Time: Wed Jan 28 14:02:25 2004 Input: q Output: q Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host sub5-03.stud.uni-goettingen.de. (134.76.60.136) Time: Wed Jan 28 14:02:35 2004 Input: q Output: q Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host sub5-03.stud.uni-goettingen.de. (134.76.60.136) Time: Wed Jan 28 14:02:48 2004 Input: p100 Output: p100 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host ade-ce4.chariot.net.au. (203.87.94.182) Time: Thu Jan 29 04:21:47 2004 Input: sun + fun = swim Output: sun + swim Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:08:03 2004 Input: ifactor(25) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: ifactor(25) ^----------- Timing: real 0m0.281s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:08:45 2004 Input: factor(25) Output: [5 2] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:08:54 2004 Input: factor(250) Output: [2 1] [5 3] Errors (if any) and Timing Info: Timing: real 0m0.092s user 0m0.030s sys 0m0.010s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:10:12 2004 Input: factor(250002454) Output: [2 1] [13 1] [9615479 1] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:10:22 2004 Input: factor(250002454455424513216854) Output: [2 1] [3 2] [211 1] [65824764206272910273 1] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:10:52 2004 Input: factor(25000245445542451321685465345345435454542) Output: [2 1] [11 2] [577 1] [37489 1] [98561 1] [25072337 1] [1932632682625324831 1] Errors (if any) and Timing Info: Timing: real 0m0.160s user 0m0.090s sys 0m0.020s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:11:29 2004 Input: factor(250002454455424513216854653453454354545421545248534548534546545345) Output: Errors (if any) and Timing Info: Timing: real 0m21.049s user 0m20.980s sys 0m0.020s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:11:43 2004 Input: factor(25000245445542451321685465345345435445248534548534546545345) Output: [3 1] [5 1] [12305779 1] [343002977 1] [394862610799814046656924330134503086808181 1] Errors (if any) and Timing Info: Timing: real 0m0.257s user 0m0.240s sys 0m0.010s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:11:57 2004 Input: factor(250002454455424513216854653453454354452565638534548534546545345) Output: [3 1] [5 1] [197591189 1] [1967507429 1] [42871537410379677915586797717246201629363383 1] Errors (if any) and Timing Info: Timing: real 0m3.130s user 0m3.120s sys 0m0.010s ************** PARI ***************** Host massena-2-81-57-129-182.fbx.proxad.net. (81.57.129.182) Time: Thu Jan 29 10:12:26 2004 Input: factor(25000245445542451321685465345345435445256563853454853454654534511) Output: [139 1] [163 2] [127399 1] [53135924886781103035009438989032042556028971767548979 1] Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (80.232.193.34) Time: Thu Jan 29 16:03:33 2004 Input: (1+xy)/(1-xy-xyy-xxyyy) Output: (xy + 1)/(-xy + (-xyy + (-xxyyy + 1))) Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 3(NXDOMAIN) (80.232.193.34) Time: Thu Jan 29 16:05:20 2004 Input: (1+x*y)/(1-x*y-x*y*y-x*x*y*y*y) Output: (y*x + 1)/(-y^3*x^2 + (-y^2 - y)*x + 1) Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (80.232.193.34) Time: Thu Jan 29 16:06:03 2004 Input: Integer x Integer y (1+x*y)/(1-x*y-x*y*y-x*x*y*y*y) Output: Integerx Integery (y*x + 1)/(-y^3*x^2 + (-y^2 - y)*x + 1) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (80.232.193.34) Time: Thu Jan 29 16:06:31 2004 Input: Int x Int y (1+x*y)/(1-x*y-x*y*y-x*x*y*y*y) Output: Intx Inty (y*x + 1)/(-y^3*x^2 + (-y^2 - y)*x + 1) Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Thu Jan 29 22:14:13 2004 Input: contfrac(e) Output: [e] Errors (if any) and Timing Info: Timing: real 0m0.075s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host student-04kfl.williams.edu. (137.165.217.233) Time: Thu Jan 29 22:14:19 2004 Input: contfrac(e) Output: [e] Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host 24-117-220-66.cpe.cableone.net. (24.117.220.66) Time: Fri Jan 30 00:07:48 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pxy-2a.kyoto-u.ac.jp. (130.54.130.227) Time: Fri Jan 30 01:56:33 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host dsl-200-67-231-235.prod-infinitum.com.mx. (200.67.231.235) Time: Fri Jan 30 11:43:37 2004 Input: 54365346546395436 * 957495749754354354 Output: 52054588252096197116993824152328344 Errors (if any) and Timing Info: Timing: real 0m0.075s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host a2x1.math.u-bordeaux.fr. (147.210.17.31) Time: Fri Jan 30 12:35:41 2004 Input: Li(2) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Li(2) ^----- Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host a2x1.math.u-bordeaux.fr. (147.210.17.31) Time: Fri Jan 30 12:35:55 2004 Input: ? Li Output: Errors (if any) and Timing Info: *** Li: unknown identifier. Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host a2x1.math.u-bordeaux.fr. (147.210.17.31) Time: Fri Jan 30 12:36:08 2004 Input: ? Li Output: Errors (if any) and Timing Info: *** Li: unknown identifier. Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host a2x1.math.u-bordeaux.fr. (147.210.17.31) Time: Fri Jan 30 12:36:22 2004 Input: li(2) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: li(2) ^----- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host adsl-64-161-26-182.dsl.sntc01.pacbell.net. (64.161.26.182) Time: Sat Jan 31 06:03:38 2004 Input: factor((Mod(1,2)*(x^1279-1))) Output: [Mod(1, 2)*x + Mod(1, 2) 1] [Mod(1, 2)*x^639 + Mod(1, 2)*x^636 + Mod(1, 2)*x^630 + Mod(1, 2)*x^628 + Mod(1, 2)*x^626 + Mod(1, 2)*x^625 + Mod(1, 2)*x^624 + Mod(1, 2)*x^623 + Mod(1, 2)*x^620 + Mod(1, 2)*x^619 + Mod(1, 2)*x^618 + Mod(1, 2)*x^608 + Mod(1, 2)*x^607 + Mod(1, 2)*x^605 + Mod(1, 2)*x^604 + Mod(1, 2)*x^603 + Mod(1, 2)*x^600 + Mod(1, 2)*x^599 + Mod(1, 2)*x^598 + Mod(1, 2)*x^595 + Mod(1, 2)*x^594 + Mod(1, 2)*x^592 + Mod(1, 2)*x^590 + Mod(1, 2)*x^588 + Mod(1, 2)*x^587 + Mod(1, 2)*x^586 + Mod(1, 2)*x^584 + Mod(1, 2)*x^583 + Mod(1, 2)*x^582 + Mod(1, 2)*x^579 + Mod(1, 2)*x^578 + Mod(1, 2)*x^570 + Mod(1, 2)*x^567 + Mod(1, 2)*x^565 + Mod(1, 2)*x^563 + Mod(1, 2)*x^557 + Mod(1, 2)*x^556 + Mod(1, 2)*x^553 + Mod(1, 2)*x^552 + Mod(1, 2)*x^551 + Mod(1, 2)*x^548 + Mod(1, 2)*x^547 + Mod(1, 2)*x^544 + Mod(1, 2)*x^543 + Mod(1, 2)*x^540 + Mod(1, 2)*x^537 + Mod(1, 2)*x^534 + Mod(1, 2)*x^533 + Mod(1, 2)*x^531 + Mod(1, 2)*x^529 + Mod(1, 2)*x^528 + Mod(1, 2)*x^527 + Mod(1, 2)*x^524 + Mod(1, 2)*x^523 + Mod(1, 2)*x^522 + Mod(1, 2)*x^521 + Mod(1, 2)*x^519 + Mod(1, 2)*x^518 + Mod(1, 2)*x^517 + Mod(1, 2)*x^516 + Mod(1, 2)*x^510 + Mod(1, 2)*x^507 + Mod(1, 2)*x^501 + Mod(1, 2)*x^499 + Mod(1, 2)*x^498 + Mod(1, 2)*x^497 + Mod(1, 2)*x^494 + Mod(1, 2)*x^491 + Mod(1, 2)*x^486 + Mod(1, 2)*x^483 + Mod(1, 2)*x^480 + Mod(1, 2)*x^479 + Mod(1, 2)*x^478 + Mod(1, 2)*x^477 + Mod(1, 2)*x^476 + Mod(1, 2)*x^474 + Mod(1, 2)*x^472 + Mod(1, 2)*x^471 + Mod(1, 2)*x^470 + Mod(1, 2)*x^465 + Mod(1, 2)*x^464 + Mod(1, 2)*x^463 + Mod(1, 2)*x^460 + Mod(1, 2)*x^456 + Mod(1, 2)*x^455 + Mod(1, 2)*x^452 + Mod(1, 2)*x^451 + Mod(1, 2)*x^450 + Mod(1, 2)*x^449 + Mod(1, 2)*x^447 + Mod(1, 2)*x^446 + Mod(1, 2)*x^445 + Mod(1, 2)*x^443 + Mod(1, 2)*x^440 + Mod(1, 2)*x^438 + Mod(1, 2)*x^436 + Mod(1, 2)*x^434 + Mod(1, 2)*x^433 + Mod(1, 2)*x^431 + Mod(1, 2)*x^430 + Mod(1, 2)*x^428 + Mod(1, 2)*x^427 + Mod(1, 2)*x^426 + Mod(1, 2)*x^423 + Mod(1, 2)*x^422 + Mod(1, 2)*x^420 + Mod(1, 2)*x^417 + Mod(1, 2)*x^415 + Mod(1, 2)*x^404 + Mod(1, 2)*x^403 + Mod(1, 2)*x^402 + Mod(1, 2)*x^401 + Mod(1, 2)*x^400 + Mod(1, 2)*x^399 + Mod(1, 2)*x^398 + Mod(1, 2)*x^396 + Mod(1, 2)*x^394 + Mod(1, 2)*x^393 + Mod(1, 2)*x^386 + Mod(1, 2)*x^383 + Mod(1, 2)*x^382 + Mod(1, 2)*x^380 + Mod(1, 2)*x^379 + Mod(1, 2)*x^378 + Mod(1, 2)*x^377 + Mod(1, 2)*x^376 + Mod(1, 2)*x^374 + Mod(1, 2)*x^373 + Mod(1, 2)*x^372 + Mod(1, 2)*x^371 + Mod(1, 2)*x^370 + Mod(1, 2)*x^369 + Mod(1, 2)*x^368 + Mod(1, 2)*x^367 + Mod(1, 2)*x^360 + Mod(1, 2)*x^357 + Mod(1, 2)*x^354 + Mod(1, 2)*x^353 + Mod(1, 2)*x^350 + Mod(1, 2)*x^347 + Mod(1, 2)*x^345 + Mod(1, 2)*x^344 + Mod(1, 2)*x^341 + Mod(1, 2)*x^340 + Mod(1, 2)*x^338 + Mod(1, 2)*x^336 + Mod(1, 2)*x^335 + Mod(1, 2)*x^333 + Mod(1, 2)*x^329 + Mod(1, 2)*x^327 + Mod(1, 2)*x^326 + Mod(1, 2)*x^324 + Mod(1, 2)*x^323 + Mod(1, 2)*x^319 + Mod(1, 2)*x^317 + Mod(1, 2)*x^315 + Mod(1, 2)*x^313 + Mod(1, 2)*x^310 + Mod(1, 2)*x^309 + Mod(1, 2)*x^308 + Mod(1, 2)*x^304 + Mod(1, 2)*x^303 + Mod(1, 2)*x^302 + Mod(1, 2)*x^301 + Mod(1, 2)*x^300 + Mod(1, 2)*x^299 + Mod(1, 2)*x^298 + Mod(1, 2)*x^297 + Mod(1, 2)*x^296 + Mod(1, 2)*x^294 + Mod(1, 2)*x^293 + Mod(1, 2)*x^291 + Mod(1, 2)*x^290 + Mod(1, 2)*x^287 + Mod(1, 2)*x^282 + Mod(1, 2)*x^281 + Mod(1, 2)*x^280 + Mod(1, 2)*x^278 + Mod(1, 2)*x^277 + Mod(1, 2)*x^276 + Mod(1, 2)*x^273 + Mod(1, 2)*x^268 + Mod(1, 2)*x^266 + Mod(1, 2)*x^263 + Mod(1, 2)*x^262 + Mod(1, 2)*x^260 + Mod(1, 2)*x^259 + Mod(1, 2)*x^254 + Mod(1, 2)*x^253 + Mod(1, 2)*x^252 + Mod(1, 2)*x^248 + Mod(1, 2)*x^247 + Mod(1, 2)*x^246 + Mod(1, 2)*x^245 + Mod(1, 2)*x^243 + Mod(1, 2)*x^242 + Mod(1, 2)*x^240 + Mod(1, 2)*x^238 + Mod(1, 2)*x^236 + Mod(1, 2)*x^230 + Mod(1, 2)*x^226 + Mod(1, 2)*x^224 + Mod(1, 2)*x^223 + Mod(1, 2)*x^219 + Mod(1, 2)*x^218 + Mod(1, 2)*x^217 + Mod(1, 2)*x^215 + Mod(1, 2)*x^209 + Mod(1, 2)*x^208 + Mod(1, 2)*x^205 + Mod(1, 2)*x^203 + Mod(1, 2)*x^200 + Mod(1, 2)*x^199 + Mod(1, 2)*x^197 + Mod(1, 2)*x^196 + Mod(1, 2)*x^194 + Mod(1, 2)*x^192 + Mod(1, 2)*x^190 + Mod(1, 2)*x^188 + Mod(1, 2)*x^187 + Mod(1, 2)*x^186 + Mod(1, 2)*x^180 + Mod(1, 2)*x^178 + Mod(1, 2)*x^177 + Mod(1, 2)*x^173 + Mod(1, 2)*x^169 + Mod(1, 2)*x^168 + Mod(1, 2)*x^167 + Mod(1, 2)*x^164 + Mod(1, 2)*x^163 + Mod(1, 2)*x^162 + Mod(1, 2)*x^160 + Mod(1, 2)*x^158 + Mod(1, 2)*x^151 + Mod(1, 2)*x^148 + Mod(1, 2)*x^146 + Mod(1, 2)*x^145 + Mod(1, 2)*x^143 + Mod(1, 2)*x^142 + Mod(1, 2)*x^140 + Mod(1, 2)*x^139 + Mod(1, 2)*x^137 + Mod(1, 2)*x^136 + Mod(1, 2)*x^135 + Mod(1, 2)*x^133 + Mod(1, 2)*x^131 + Mod(1, 2)*x^127 + Mod(1, 2)*x^125 + Mod(1, 2)*x^124 + Mod(1, 2)*x^123 + Mod(1, 2)*x^122 + Mod(1, 2)*x^121 + Mod(1, 2)*x^120 + Mod(1, 2)*x^119 + Mod(1, 2)*x^117 + Mod(1, 2)*x^116 + Mod(1, 2)*x^115 + Mod(1, 2)*x^114 + Mod(1, 2)*x^112 + Mod(1, 2)*x^111 + Mod(1, 2)*x^100 + Mod(1, 2)*x^98 + Mod(1, 2)*x^97 + Mod(1, 2)*x^95 + Mod(1, 2)*x^93 + Mod(1, 2)*x^92 + Mod(1, 2)*x^88 + Mod(1, 2)*x^80 + Mod(1, 2)*x^78 + Mod(1, 2)*x^70 + Mod(1, 2)*x^69 + Mod(1, 2)*x^68 + Mod(1, 2)*x^67 + Mod(1, 2)*x^66 + Mod(1, 2)*x^64 + Mod(1, 2)*x^63 + Mod(1, 2)*x^62 + Mod(1, 2)*x^61 + Mod(1, 2)*x^60 + Mod(1, 2)*x^59 + Mod(1, 2)*x^56 + Mod(1, 2)*x^54 + Mod(1, 2)*x^50 + Mod(1, 2)*x^49 + Mod(1, 2)*x^47 + Mod(1, 2)*x^43 + Mod(1, 2)*x^41 + Mod(1, 2)*x^38 + Mod(1, 2)*x^34 + Mod(1, 2)*x^33 + Mod(1, 2)*x^32 + Mod(1, 2)*x^29 + Mod(1, 2)*x^26 + Mod(1, 2)*x^24 + Mod(1, 2)*x^22 + Mod(1, 2)*x^21 + Mod(1, 2)*x^16 + Mod(1, 2)*x^14 + Mod(1, 2)*x^12 + Mod(1, 2)*x^10 + Mod(1, 2)*x^9 + Mod(1, 2)*x^8 + Mod(1, 2)*x^7 + Mod(1, 2)*x^6 + Mod(1, 2)*x^2 + Mod(1, 2)*x + Mod(1, 2) 1] [Mod(1, 2)*x^639 + Mod(1, 2)*x^638 + Mod(1, 2)*x^637 + Mod(1, 2)*x^633 + Mod(1, 2)*x^632 + Mod(1, 2)*x^631 + Mod(1, 2)*x^630 + Mod(1, 2)*x^629 + Mod(1, 2)*x^627 + Mod(1, 2)*x^625 + Mod(1, 2)*x^623 + Mod(1, 2)*x^618 + Mod(1, 2)*x^617 + Mod(1, 2)*x^615 + Mod(1, 2)*x^613 + Mod(1, 2)*x^610 + Mod(1, 2)*x^607 + Mod(1, 2)*x^606 + Mod(1, 2)*x^605 + Mod(1, 2)*x^601 + Mod(1, 2)*x^598 + Mod(1, 2)*x^596 + Mod(1, 2)*x^592 + Mod(1, 2)*x^590 + Mod(1, 2)*x^589 + Mod(1, 2)*x^585 + Mod(1, 2)*x^583 + Mod(1, 2)*x^580 + Mod(1, 2)*x^579 + Mod(1, 2)*x^578 + Mod(1, 2)*x^577 + Mod(1, 2)*x^576 + Mod(1, 2)*x^575 + Mod(1, 2)*x^573 + Mod(1, 2)*x^572 + Mod(1, 2)*x^571 + Mod(1, 2)*x^570 + Mod(1, 2)*x^569 + Mod(1, 2)*x^561 + Mod(1, 2)*x^559 + Mod(1, 2)*x^551 + Mod(1, 2)*x^547 + Mod(1, 2)*x^546 + Mod(1, 2)*x^544 + Mod(1, 2)*x^542 + Mod(1, 2)*x^541 + Mod(1, 2)*x^539 + Mod(1, 2)*x^528 + Mod(1, 2)*x^527 + Mod(1, 2)*x^525 + Mod(1, 2)*x^524 + Mod(1, 2)*x^523 + Mod(1, 2)*x^522 + Mod(1, 2)*x^520 + Mod(1, 2)*x^519 + Mod(1, 2)*x^518 + Mod(1, 2)*x^517 + Mod(1, 2)*x^516 + Mod(1, 2)*x^515 + Mod(1, 2)*x^514 + Mod(1, 2)*x^512 + Mod(1, 2)*x^508 + Mod(1, 2)*x^506 + Mod(1, 2)*x^504 + Mod(1, 2)*x^503 + Mod(1, 2)*x^502 + Mod(1, 2)*x^500 + Mod(1, 2)*x^499 + Mod(1, 2)*x^497 + Mod(1, 2)*x^496 + Mod(1, 2)*x^494 + Mod(1, 2)*x^493 + Mod(1, 2)*x^491 + Mod(1, 2)*x^488 + Mod(1, 2)*x^481 + Mod(1, 2)*x^479 + Mod(1, 2)*x^477 + Mod(1, 2)*x^476 + Mod(1, 2)*x^475 + Mod(1, 2)*x^472 + Mod(1, 2)*x^471 + Mod(1, 2)*x^470 + Mod(1, 2)*x^466 + Mod(1, 2)*x^462 + Mod(1, 2)*x^461 + Mod(1, 2)*x^459 + Mod(1, 2)*x^453 + Mod(1, 2)*x^452 + Mod(1, 2)*x^451 + Mod(1, 2)*x^449 + Mod(1, 2)*x^447 + Mod(1, 2)*x^445 + Mod(1, 2)*x^443 + Mod(1, 2)*x^442 + Mod(1, 2)*x^440 + Mod(1, 2)*x^439 + Mod(1, 2)*x^436 + Mod(1, 2)*x^434 + Mod(1, 2)*x^431 + Mod(1, 2)*x^430 + Mod(1, 2)*x^424 + Mod(1, 2)*x^422 + Mod(1, 2)*x^421 + Mod(1, 2)*x^420 + Mod(1, 2)*x^416 + Mod(1, 2)*x^415 + Mod(1, 2)*x^413 + Mod(1, 2)*x^409 + Mod(1, 2)*x^403 + Mod(1, 2)*x^401 + Mod(1, 2)*x^399 + Mod(1, 2)*x^397 + Mod(1, 2)*x^396 + Mod(1, 2)*x^394 + Mod(1, 2)*x^393 + Mod(1, 2)*x^392 + Mod(1, 2)*x^391 + Mod(1, 2)*x^387 + Mod(1, 2)*x^386 + Mod(1, 2)*x^385 + Mod(1, 2)*x^380 + Mod(1, 2)*x^379 + Mod(1, 2)*x^377 + Mod(1, 2)*x^376 + Mod(1, 2)*x^373 + Mod(1, 2)*x^371 + Mod(1, 2)*x^366 + Mod(1, 2)*x^363 + Mod(1, 2)*x^362 + Mod(1, 2)*x^361 + Mod(1, 2)*x^359 + Mod(1, 2)*x^358 + Mod(1, 2)*x^357 + Mod(1, 2)*x^352 + Mod(1, 2)*x^349 + Mod(1, 2)*x^348 + Mod(1, 2)*x^346 + Mod(1, 2)*x^345 + Mod(1, 2)*x^343 + Mod(1, 2)*x^342 + Mod(1, 2)*x^341 + Mod(1, 2)*x^340 + Mod(1, 2)*x^339 + Mod(1, 2)*x^338 + Mod(1, 2)*x^337 + Mod(1, 2)*x^336 + Mod(1, 2)*x^335 + Mod(1, 2)*x^331 + Mod(1, 2)*x^330 + Mod(1, 2)*x^329 + Mod(1, 2)*x^326 + Mod(1, 2)*x^324 + Mod(1, 2)*x^322 + Mod(1, 2)*x^320 + Mod(1, 2)*x^316 + Mod(1, 2)*x^315 + Mod(1, 2)*x^313 + Mod(1, 2)*x^312 + Mod(1, 2)*x^310 + Mod(1, 2)*x^306 + Mod(1, 2)*x^304 + Mod(1, 2)*x^303 + Mod(1, 2)*x^301 + Mod(1, 2)*x^299 + Mod(1, 2)*x^298 + Mod(1, 2)*x^295 + Mod(1, 2)*x^294 + Mod(1, 2)*x^292 + Mod(1, 2)*x^289 + Mod(1, 2)*x^286 + Mod(1, 2)*x^285 + Mod(1, 2)*x^282 + Mod(1, 2)*x^279 + Mod(1, 2)*x^272 + Mod(1, 2)*x^271 + Mod(1, 2)*x^270 + Mod(1, 2)*x^269 + Mod(1, 2)*x^268 + Mod(1, 2)*x^267 + Mod(1, 2)*x^266 + Mod(1, 2)*x^265 + Mod(1, 2)*x^263 + Mod(1, 2)*x^262 + Mod(1, 2)*x^261 + Mod(1, 2)*x^260 + Mod(1, 2)*x^259 + Mod(1, 2)*x^257 + Mod(1, 2)*x^256 + Mod(1, 2)*x^253 + Mod(1, 2)*x^246 + Mod(1, 2)*x^245 + Mod(1, 2)*x^243 + Mod(1, 2)*x^241 + Mod(1, 2)*x^240 + Mod(1, 2)*x^239 + Mod(1, 2)*x^238 + Mod(1, 2)*x^237 + Mod(1, 2)*x^236 + Mod(1, 2)*x^235 + Mod(1, 2)*x^224 + Mod(1, 2)*x^222 + Mod(1, 2)*x^219 + Mod(1, 2)*x^217 + Mod(1, 2)*x^216 + Mod(1, 2)*x^213 + Mod(1, 2)*x^212 + Mod(1, 2)*x^211 + Mod(1, 2)*x^209 + Mod(1, 2)*x^208 + Mod(1, 2)*x^206 + Mod(1, 2)*x^205 + Mod(1, 2)*x^203 + Mod(1, 2)*x^201 + Mod(1, 2)*x^199 + Mod(1, 2)*x^196 + Mod(1, 2)*x^194 + Mod(1, 2)*x^193 + Mod(1, 2)*x^192 + Mod(1, 2)*x^190 + Mod(1, 2)*x^189 + Mod(1, 2)*x^188 + Mod(1, 2)*x^187 + Mod(1, 2)*x^184 + Mod(1, 2)*x^183 + Mod(1, 2)*x^179 + Mod(1, 2)*x^176 + Mod(1, 2)*x^175 + Mod(1, 2)*x^174 + Mod(1, 2)*x^169 + Mod(1, 2)*x^168 + Mod(1, 2)*x^167 + Mod(1, 2)*x^165 + Mod(1, 2)*x^163 + Mod(1, 2)*x^162 + Mod(1, 2)*x^161 + Mod(1, 2)*x^160 + Mod(1, 2)*x^159 + Mod(1, 2)*x^156 + Mod(1, 2)*x^153 + Mod(1, 2)*x^148 + Mod(1, 2)*x^145 + Mod(1, 2)*x^142 + Mod(1, 2)*x^141 + Mod(1, 2)*x^140 + Mod(1, 2)*x^138 + Mod(1, 2)*x^132 + Mod(1, 2)*x^129 + Mod(1, 2)*x^123 + Mod(1, 2)*x^122 + Mod(1, 2)*x^121 + ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m1.319s user 0m1.230s sys 0m0.080s ************** PARI ***************** Host p508B2E97.dip.t-dialin.net. (80.139.46.151) Time: Sat Jan 31 08:29:42 2004 Input: 2^8 + 2^8 Output: 512 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host AMontpellier-205-1-9-219.w217-128.abo.wanadoo.fr. (217.128.46.219) Time: Sat Jan 31 11:39:33 2004 Input: djhsteu Output: djhsteu Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (211.98.28.172) Time: Sun Feb 1 01:10:43 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host mail.provigent.com. (62.219.165.202) Time: Mon Feb 2 02:21:12 2004 Input: sin(x) Output: x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.090s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host p3E9B9DBB.dip0.t-ipconnect.de. (62.155.157.187) Time: Mon Feb 2 03:11:39 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host s-suthah.uncg.edu. (152.13.199.96) Time: Mon Feb 2 16:24:50 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host genoa.ucc.usyd.edu.au. (129.78.228.114) Time: Mon Feb 2 23:20:06 2004 Input: cos^2 + sin^2 = Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: cos^2+sin^2= ^--------- Timing: real 0m0.057s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host genoa.ucc.usyd.edu.au. (129.78.228.114) Time: Mon Feb 2 23:20:18 2004 Input: cos^2 + sin^2 Output: Errors (if any) and Timing Info: *** expected character: '(' instead of: cos^2+sin^2 ^-------- Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host c-24-17-30-82.client.comcast.net. (24.17.30.82) Time: Tue Feb 3 06:23:12 2004 Input: 2^((2^64 - 258)/2) mod (2^64 - 257) Output: Errors (if any) and Timing Info: *** unused characters: 2^((2^64-258)/2)mod(2^64-257) ^------------- Timing: real 0m0.224s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host c-24-17-30-82.client.comcast.net. (24.17.30.82) Time: Tue Feb 3 06:23:12 2004 Input: 2^((2^64 - 258)/2) mod (2^64 - 257) Output: Errors (if any) and Timing Info: *** unused characters: 2^((2^64-258)/2)mod(2^64-257) ^------------- Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host zmd1.math3.us.edu.pl. (155.158.26.81) Time: Tue Feb 3 07:17:04 2004 Input: 1+a Output: a + 1 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host zmd1.math3.us.edu.pl. (155.158.26.81) Time: Tue Feb 3 07:17:19 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host zmd1.math3.us.edu.pl. (155.158.26.81) Time: Tue Feb 3 07:19:20 2004 Input: Solve(x^2-3*x+2=0) Output: Errors (if any) and Timing Info: *** unexpected character: Solve(x^2-3*x+2=0) ^--- Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host CPE0020188e89e7-CM400026065536.cpe.net.cable.rogers.com. (24.100.224.195) Time: Tue Feb 3 20:05:30 2004 Input: 2x + 3x Output: Errors (if any) and Timing Info: *** unused characters: 2x+3x ^---- Timing: real 0m0.059s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host i-195-137-81-190.freedom2surf.net. (195.137.81.190) Time: Tue Feb 3 20:26:51 2004 Input: 3+4 Output: 7 Errors (if any) and Timing Info: Timing: real 0m0.069s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host i-195-137-81-190.freedom2surf.net. (195.137.81.190) Time: Tue Feb 3 20:27:04 2004 Input: 3+4 Output: 7 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (61.0.200.221) Time: Wed Feb 4 03:22:45 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (63.197.170.253) Time: Wed Feb 4 11:47:00 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.162s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (63.197.170.253) Time: Wed Feb 4 11:47:29 2004 Input: ihfhcalstop Output: ihfhcalstop Errors (if any) and Timing Info: Timing: real 0m0.051s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (63.197.170.253) Time: Wed Feb 4 11:48:17 2004 Input: bkdjgluyo,tioheitfg ghfgjhkgug55327323.8731 Output: Errors (if any) and Timing Info: *** unused characters: bkdjgluyo,tioheitfg ^---------- *** unknown member function: ghfgjhkgug55327323.8731 ^---- Timing: real 0m0.073s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host 2(SERVFAIL) (63.197.170.253) Time: Wed Feb 4 11:54:56 2004 Input: bkdjgluyo,tioheitfg ghfgjhkgug55327323.8731 Output: Errors (if any) and Timing Info: *** unused characters: bkdjgluyo,tioheitfg ^---------- *** unknown member function: ghfgjhkgug55327323.8731 ^---- Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 2(SERVFAIL) (63.197.170.253) Time: Wed Feb 4 11:54:57 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host nat01-pel-ext.Rutgers.EDU. (204.52.215.107) Time: Wed Feb 4 15:01:44 2004 Input: getcycle(x^3-6, 10, 20) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: getcycle(x^3-6,10,20) ^----------- Timing: real 0m0.071s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host wwwcache.lanl.gov. (128.165.156.80) Time: Wed Feb 4 17:07:36 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host wwwcache.lanl.gov. (128.165.156.80) Time: Wed Feb 4 17:07:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host wwwcache4.ic.ac.uk. (155.198.17.122) Time: Thu Feb 5 07:30:31 2004 Input: factor (12386) Output: [2 1] [11 1] [563 1] Errors (if any) and Timing Info: Timing: real 0m0.275s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host wwwcache4.ic.ac.uk. (155.198.17.122) Time: Thu Feb 5 07:30:45 2004 Input: factor (123867777777777777) Output: [3 1] [5290933 1] [7803776623 1] Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.020s sys 0m0.050s ************** PARI ***************** Host wwwcache4.ic.ac.uk. (155.198.17.122) Time: Thu Feb 5 07:31:16 2004 Input: factor (123867777777777777777777777777777777777777777777777777777777777777777777777777777777777777) Output: Errors (if any) and Timing Info: Timing: real 0m21.180s user 0m20.890s sys 0m0.110s ************** PARI ***************** Host wwwcache4.ic.ac.uk. (155.198.17.122) Time: Thu Feb 5 07:31:32 2004 Input: factor (123867777777777777777777777777777777777777777777777777777777777777777777777777777777777) Output: [3 2] [11 1] [31 1] [379 1] [4093 1] [1149302443 1] [22638423152541178048446939513078377259934518895281941125832891983873 1] Errors (if any) and Timing Info: Timing: real 0m0.564s user 0m0.510s sys 0m0.050s ************** PARI ***************** Host roam27-53.fas.harvard.edu. (140.247.27.53) Time: Thu Feb 5 10:12:37 2004 Input: factor(2004) Output: [2 2] [3 1] [167 1] Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host reached (12.146.247.3) Time: Thu Feb 5 10:59:54 2004 Input: 52+53 1982 Output: 105 1982 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:16:23 2004 Input: (x^2+1)*(x+3) Output: x^3 + 3*x^2 + x + 3 Errors (if any) and Timing Info: Timing: real 0m0.104s user 0m0.040s sys 0m0.040s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:17:02 2004 Input: x*(x+1)*(x+5)*(x+10) Output: x^4 + 16*x^3 + 65*x^2 + 50*x Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:24:21 2004 Input: (x^2+8x+12)*(4x^3+48x^2+130x+50)-(x^4+16x^3+65x^2+50x)*(2x+8) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (x^2+8x+12)*(4x^3+48x^2+13 ^-------------------- Timing: real 0m0.053s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:24:49 2004 Input: (x^2+8x+12)*(4x^3+48x^2+130x+50)-(x^4+16x^3+65x^2+50x)*(2x+8) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (x^2+8x+12)*(4x^3+48x^2+13 ^-------------------- Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:25:40 2004 Input: (x^2+8*x+12)*(4*x^3+48*x^2+130*x+50)-(x^4+16*x^3+65*x^2+50*x)*(2*x+8) Output: 2*x^5 + 40*x^4 + 304*x^3 + 1046*x^2 + 1560*x + 600 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:31:42 2004 Input: (x+2)*(x+6) Output: x^2 + 8*x + 12 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pa-murraysville-3e-1-10.pittpa.adelphia.net. (68.232.212.10) Time: Thu Feb 5 20:31:46 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pa-murraysville-3e-1-10.pittpa.adelphia.net. (68.232.212.10) Time: Thu Feb 5 20:32:19 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" a*(b+c) Output: "Replace this by some code, then click [PARI] or [MAGMA]!" (b + c)*a Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:32:45 2004 Input: (x^2+8*x+12)*(4*x^3+48*x^2+130*x+50) Output: 4*x^5 + 80*x^4 + 562*x^3 + 1666*x^2 + 1960*x + 600 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host dhcp9536062.columbus.rr.com. (24.95.36.62) Time: Thu Feb 5 20:33:53 2004 Input: ((x^2+8*x+12)*(4*x^3+48*x^2+130*x+50))-((x^4+16*x^3+65*x^2+50*x)*(2*x+8)) Output: 2*x^5 + 40*x^4 + 304*x^3 + 1046*x^2 + 1560*x + 600 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host rrcs-central-204-210-164-209.biz.rr.com. (204.210.164.209) Time: Fri Feb 6 00:03:22 2004 Input: ((x^2+4*x+4)*(5*x^4+64*x^3+255*x^2+500*x))-((x^5+16*x^4+85*x^3+250*x^2)*(2*x+4)) Output: 3*x^6 + 48*x^5 + 297*x^4 + 936*x^3 + 2020*x^2 + 2000*x Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:01:46 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:03:53 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:04:06 2004 Input: 7! Output: 5040 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:12:32 2004 Input: 15! Output: 1307674368000 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:12:39 2004 Input: 25! Output: 15511210043330985984000000 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:12:47 2004 Input: 50! Output: 30414093201713378043612608166064768844377641568960512000000000000 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host ns.lhsystemsas.de. (213.191.83.2) Time: Fri Feb 6 03:13:27 2004 Input: 1./7 Output: 0.1428571428571428571428571428 Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (219.237.59.57) Time: Fri Feb 6 11:05:39 2004 Input: (x+y)^5 Output: x^5 + 5*y*x^4 + 10*y^2*x^3 + 10*y^3*x^2 + 5*y^4*x + y^5 Errors (if any) and Timing Info: Timing: real 0m0.077s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (219.237.59.57) Time: Fri Feb 6 11:06:12 2004 Input: (x+y)^100 Output: x^100 + 100*y*x^99 + 4950*y^2*x^98 + 161700*y^3*x^97 + 3921225*y^4*x^96 + 75287520*y^5*x^95 + 1192052400*y^6*x^94 + 16007560800*y^7*x^93 + 186087894300*y^8*x^92 + 1902231808400*y^9*x^91 + 17310309456440*y^10*x^90 + 141629804643600*y^11*x^89 + 1050421051106700*y^12*x^88 + 7110542499799200*y^13*x^87 + 44186942677323600*y^14*x^86 + 253338471349988640*y^15*x^85 + 1345860629046814650*y^16*x^84 + 6650134872937201800*y^17*x^83 + 30664510802988208300*y^18*x^82 + 132341572939212267400*y^19*x^81 + 535983370403809682970*y^20*x^80 + 2041841411062132125600*y^21*x^79 + 7332066885177656269200*y^22*x^78 + 24865270306254660391200*y^23*x^77 + 79776075565900368755100*y^24*x^76 + 242519269720337121015504*y^25*x^75 + 699574816500972464467800*y^26*x^74 + 1917353200780443050763600*y^27*x^73 + 4998813702034726525205100*y^28*x^72 + 12410847811948286545336800*y^29*x^71 + 29372339821610944823963760*y^30*x^70 + 66324638306863423796047200*y^31*x^69 + 143012501349174257560226775*y^32*x^68 + 294692427022540894366527900*y^33*x^67 + 580717429720889409486981450*y^34*x^66 + 1095067153187962886461165020*y^35*x^65 + 1977204582144932989443770175*y^36*x^64 + 3420029547493938143902737600*y^37*x^63 + 5670048986634686922786117600*y^38*x^62 + 9013924030034630492634340800*y^39*x^61 + 13746234145802811501267369720*y^40*x^60 + 20116440213369968050635175200*y^41*x^59 + 28258808871162574166368460400*y^42*x^58 + 38116532895986727945334202400*y^43*x^57 + 49378235797073715747364762200*y^44*x^56 + 61448471214136179596720592960*y^45*x^55 + 73470998190814997343905056800*y^46*x^54 + 84413487283064039501507937600*y^47*x^53 + 93206558875049876949581681100*y^48*x^52 + 98913082887808032681188722800*y^49*x^51 + 100891344545564193334812497256*y^50*x^50 + 98913082887808032681188722800*y^51*x^49 + 93206558875049876949581681100*y^52*x^48 + 84413487283064039501507937600*y^53*x^47 + 73470998190814997343905056800*y^54*x^46 + 61448471214136179596720592960*y^55*x^45 + 49378235797073715747364762200*y^56*x^44 + 38116532895986727945334202400*y^57*x^43 + 28258808871162574166368460400*y^58*x^42 + 20116440213369968050635175200*y^59*x^41 + 13746234145802811501267369720*y^60*x^40 + 9013924030034630492634340800*y^61*x^39 + 5670048986634686922786117600*y^62*x^38 + 3420029547493938143902737600*y^63*x^37 + 1977204582144932989443770175*y^64*x^36 + 1095067153187962886461165020*y^65*x^35 + 580717429720889409486981450*y^66*x^34 + 294692427022540894366527900*y^67*x^33 + 143012501349174257560226775*y^68*x^32 + 66324638306863423796047200*y^69*x^31 + 29372339821610944823963760*y^70*x^30 + 12410847811948286545336800*y^71*x^29 + 4998813702034726525205100*y^72*x^28 + 1917353200780443050763600*y^73*x^27 + 699574816500972464467800*y^74*x^26 + 242519269720337121015504*y^75*x^25 + 79776075565900368755100*y^76*x^24 + 24865270306254660391200*y^77*x^23 + 7332066885177656269200*y^78*x^22 + 2041841411062132125600*y^79*x^21 + 535983370403809682970*y^80*x^20 + 132341572939212267400*y^81*x^19 + 30664510802988208300*y^82*x^18 + 6650134872937201800*y^83*x^17 + 1345860629046814650*y^84*x^16 + 253338471349988640*y^85*x^15 + 44186942677323600*y^86*x^14 + 7110542499799200*y^87*x^13 + 1050421051106700*y^88*x^12 + 141629804643600*y^89*x^11 + 17310309456440*y^90*x^10 + 1902231808400*y^91*x^9 + 186087894300*y^92*x^8 + 16007560800*y^93*x^7 + 1192052400*y^94*x^6 + 75287520*y^95*x^5 + 3921225*y^96*x^4 + 161700*y^97*x^3 + 4950*y^98*x^2 + 100*y^99*x + y^100 Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (219.237.59.57) Time: Fri Feb 6 11:06:44 2004 Input: (x+y)^100000 Output: Errors (if any) and Timing Info: Timing: real 0m21.047s user 0m20.900s sys 0m0.100s ************** PARI ***************** Host dhcp65-157.ureg.ohio-state.edu. (128.146.65.157) Time: Fri Feb 6 12:52:09 2004 Input: (x+2)*(3*x^2+20*x-1)-(x^3+10*x^2-x-10) Output: 2*x^3 + 16*x^2 + 40*x + 8 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:47:29 2004 Input: deriv(1/(x^(r/y)), x) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:53:54 2004 Input: deriv(log(x), x) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.051s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:54:01 2004 Input: (log(x) Output: Errors (if any) and Timing Info: *** expected character: ')' instead of: (log(x) ^ Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:54:06 2004 Input: log(x) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.063s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:54:12 2004 Input: log(-2) Output: 0.6931471805599453094172321214 + 3.141592653589793238462643383*I Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:54:30 2004 Input: deriv(log(-x),x) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:55:23 2004 Input: Ser(log(-x)) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.053s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:55:38 2004 Input: Ser(log(-x)) Output: Errors (if any) and Timing Info: *** negative exponent in glog. Timing: real 0m0.052s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:56:10 2004 Input: taylor(1/x, x) Output: x^-1 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:56:40 2004 Input: ps 40 taylor(1/x, x) Output: ps40 x^-1 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:56:45 2004 Input: ps 40 taylor(1/x, x) Output: ps40 x^-1 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:56:58 2004 Input: default(seriesprecision, 40) taylor(1/x, x) Output: WARNING: PARI command contains unsafe command 'default', so it will not be executed. ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:58:32 2004 Input: seriesprecision:=5 taylor(1/x, x) Output: x^-1 + O(x^16) Errors (if any) and Timing Info: *** unexpected character: seriesprecision:=5 ^-- Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host Buttercup.EGR.UH.EDU. (129.7.202.153) Time: Fri Feb 6 13:58:40 2004 Input: seriesprecision=5 taylor(1/x, x) Output: 5 x^-1 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.052s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host 3(NXDOMAIN) (61.136.9.23) Time: Sat Feb 7 02:27:03 2004 Input: 1745264755423825474573924809951949066708882319246693921995410289 Output: 1745264755423825474573924809951949066708882319246693921995410289 Errors (if any) and Timing Info: Timing: real 0m0.078s user 0m0.050s sys 0m0.030s ************** PARI ***************** Host AOrleans-103-1-1-96.w80-11.abo.wanadoo.fr. (80.11.24.96) Time: Sat Feb 7 14:02:06 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.020s sys 0m0.030s ************** PARI ***************** Host AOrleans-103-1-1-96.w80-11.abo.wanadoo.fr. (80.11.24.96) Time: Sat Feb 7 14:02:12 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host resnet-229-94.resnet.umbc.edu. (130.85.229.94) Time: Sun Feb 8 01:22:04 2004 Input: 3+2 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.000s ************** PARI ***************** Host c-180-200-120.n.dial.de.ignite.net. (62.180.200.120) Time: Sun Feb 8 01:40:53 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:52:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:53:14 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:53:52 2004 Input: foolr(4688/12346788) Output: Errors (if any) and Timing Info: *** unknown function or error in formal parameters: foolr(4688/12346788) ^-------------------- Timing: real 0m0.054s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host eaoska076081.adsl.ppp.infoweb.ne.jp. (218.217.183.81) Time: Sun Feb 8 07:54:16 2004 Input: factor(4688/12346788) Output: [2 2] [3 -1] [293 1] [691 -1] [1489 -1] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host p50861DDB.dip.t-dialin.net. (80.134.29.219) Time: Sun Feb 8 11:50:57 2004 Input: solve(y=x^3-3*x^2-9*x+30,x); Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: ...olve(y=x^3-3*x^2-9*x+30,x); ^-- Timing: real 0m0.067s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host c-b41f72d5.07-114-6c6b701.cust.bredbandsbolaget.se. (213.114.31.180) Time: Mon Feb 9 08:28:01 2004 Input: a := 2+3; print a; Output: Errors (if any) and Timing Info: *** unexpected character: a:=2+3; ^----- Timing: real 0m0.074s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host qn-212-127-199-12.quicknet.nl. (212.127.199.12) Time: Wed Feb 11 13:32:36 2004 Input: 2+3 Output: 5 Errors (if any) and Timing Info: Timing: real 0m0.089s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host qn-212-127-199-12.quicknet.nl. (212.127.199.12) Time: Wed Feb 11 13:33:10 2004 Input: 2+3 log1000 Output: 5 log1000 Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host qn-212-127-199-12.quicknet.nl. (212.127.199.12) Time: Wed Feb 11 13:33:36 2004 Input: 2+3 log1000+log10 Output: 5 log1000 + log10 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host cae168-252-126.sc.rr.com. (24.168.252.126) Time: Wed Feb 11 23:33:35 2004 Input: 9+6+6 Output: 21 Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (193.63.160.251) Time: Thu Feb 12 04:47:04 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host dl-nas1-gyn-C89A386D.p001.terra.com.br. (200.154.56.109) Time: Thu Feb 12 07:11:38 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam27-47.fas.harvard.edu. (140.247.27.47) Time: Thu Feb 12 10:00:13 2004 Input: 2+2 Output: 4 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 84e5e4e4.math.leidenuniv.nl. (132.229.228.228) Time: Thu Feb 12 10:52:58 2004 Input: ?BetterPolynomial Output: Errors (if any) and Timing Info: *** BetterPolynomial: unknown identifier. Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 84e5e4e4.math.leidenuniv.nl. (132.229.228.228) Time: Thu Feb 12 10:53:04 2004 Input: ?Better Output: Errors (if any) and Timing Info: *** Better: unknown identifier. Timing: real 0m0.080s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host cache1.nottingham.ac.uk. (128.243.220.21) Time: Thu Feb 12 11:42:30 2004 Input: F:=FiniteField(8); F; E:=EllipticCurve([F|0,0,1,F.1^3,1]); E; Points(E); V:=ProjectiveSpace(F,1); V; Points(V); Output: Errors (if any) and Timing Info: *** unexpected character: F:=FiniteField(8); ^---------------- *** unexpected character: E:=EllipticCurve([F|0, ^-------------------- *** expected character: '=' instead of: Points(E); ^- *** unexpected character: V:=ProjectiveSpace(F,1 ^-------------------- *** expected character: '=' instead of: Points(V); ^- Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 241.Red-217-126-124.pooles.rima-tde.net. (217.126.124.241) Time: Thu Feb 12 15:06:00 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host barax3.su.lt. (193.219.168.14) Time: Fri Feb 13 01:54:16 2004 Input: 10+202 Output: 212 Errors (if any) and Timing Info: Timing: real 0m0.138s user 0m0.050s sys 0m0.050s ************** PARI ***************** Host janssons.medic.chalmers.se. (129.16.32.56) Time: Fri Feb 13 08:50:27 2004 Input: 1+2 Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host cacheng.unige.ch. (129.194.8.73) Time: Fri Feb 13 09:08:00 2004 Input: xxx Output: xxx Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host mathl30.sogang.ac.kr. (163.239.42.230) Time: Fri Feb 13 20:36:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.109s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host host87-9.pool80182.interbusiness.it. (80.182.9.87) Time: Sun Feb 15 05:52:06 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.085s user 0m0.030s sys 0m0.040s ************** PARI ***************** Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162) Time: Sun Feb 15 16:58:17 2004 Input: p = 250 P = 3490529510847650949147849619903898133417764638493387843990820577 b P Q = 32769132993266709549961988190834461413177642967992942539798288533 b Q N=P*Q b N E = 9007 b E D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 b D M = 200805001301070903002315180419000118050019172105011309190800151919090618010705 b M C = Mod(M^E,N) b C X = Mod(C^D,N) b X b M Output: 250 3490529510847650949147849619903898133417764638493387843990820577 bP 32769132993266709549961988190834461413177642967992942539798288533 bQ 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541 bN 9007 bE 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 bD 200805001301070903002315180419000118050019172105011309190800151919090618010705 bM Mod(96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154, 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541) bC bX bM Errors (if any) and Timing Info: *** forbidden division t_INTMOD % t_INT. Timing: real 0m1.479s user 0m1.400s sys 0m0.040s ************** PARI ***************** Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162) Time: Sun Feb 15 17:04:08 2004 Input: p = 250 P = 3490529510847650949147849619903898133417764638493387843990820577 Q = 32769132993266709549961988190834461413177642967992942539798288533 N=P*Q D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 C = 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 X = Mod(C^D,N) Output: 250 3490529510847650949147849619903898133417764638493387843990820577 32769132993266709549961988190834461413177642967992942539798288533 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 Errors (if any) and Timing Info: Timing: real 0m21.073s user 0m20.930s sys 0m0.070s ************** PARI ***************** Host ca-cmrilo-docsis-cmtsj-b-162.vnnyca.adelphia.net. (68.64.125.162) Time: Sun Feb 15 17:07:02 2004 Input: p = 250 P = 3490529510847650949147849619903898133417764638493387843990820577 Q = 32769132993266709549961988190834461413177642967992942539798288533 N=P*Q D = 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 C = 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 X = Mod(C^D,N) Output: 250 3490529510847650949147849619903898133417764638493387843990820577 32769132993266709549961988190834461413177642967992942539798288533 114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541 106698614368578024442868771328920154780709906633937862801226224496631063125911774470873340168597462306553968544513277109053606095 96869613754622061477140922254355882905759991124574319874695120930816298225145708356931476622883989628013391990551829945157815154 Errors (if any) and Timing Info: Timing: real 0m21.030s user 0m20.940s sys 0m0.060s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:53:09 2004 Input: cos(x) Output: 1 - 1/2*x^2 + 1/24*x^4 - 1/720*x^6 + 1/40320*x^8 - 1/3628800*x^10 + 1/479001600*x^12 - 1/87178291200*x^14 + 1/20922789888000*x^16 + O(x^17) Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:53:40 2004 Input: (1+x)^3 Output: x^3 + 3*x^2 + 3*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:58:18 2004 Input: n=3+I-I Output: 3 Errors (if any) and Timing Info: Timing: real 0m0.054s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:58:27 2004 Input: n=3+I-I type(n) Output: 3 "t_COMPLEX" Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 19:58:48 2004 Input: n=3+I-I type(n) (1+x)^n Output: 3 "t_COMPLEX" 1 + 3*x + 3*x^2 + x^3 + O(x^16) Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:29:31 2004 Input: m=[a,b,c; d,e,f] m[1,2] Output: [a b c] [d e f] b Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:33:51 2004 Input: h=mathilbert(20) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:35:17 2004 Input: h=mathilbert(20) d=matdet(h) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 Errors (if any) and Timing Info: Timing: real 0m0.084s user 0m0.060s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:36:22 2004 Input: h=mathilbert(20) d=matdet(h) 1.*d sizedigit(1/d) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 Errors (if any) and Timing Info: Timing: real 0m0.081s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:37:25 2004 Input: h=mathilbert(20) d=matdet(h) 1.*d sizedigit(1/d) hr=1.*h dr=matdet(hr) Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 [1.000000000000000000000000000 0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999] [0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761] [0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545] [0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782] [0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666] [0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999] [0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846] [0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703] [0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571] [0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310] [0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333] [0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333 0.03225806451612903225806451612] [0.07692307692307692307692307692 0.07142857142 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.082s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:38:05 2004 Input: h=mathilbert(20) d=matdet(h) 1.*d sizedigit(1/d) hr=1.*h dr=matdet(hr); Output: [1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20] [1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21] [1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22] [1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23] [1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24] [1/6 1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25] [1/7 1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26] [1/8 1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27] [1/9 1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28] [1/10 1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29] [1/11 1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30] [1/12 1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31] [1/13 1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32] [1/14 1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33] [1/15 1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34] [1/16 1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35] [1/17 1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36] [1/18 1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37] [1/19 1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38] [1/20 1/21 1/22 1/23 1/24 1/25 1/26 1/27 1/28 1/29 1/30 1/31 1/32 1/33 1/34 1/35 1/36 1/37 1/38 1/39] 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 [1.000000000000000000000000000 0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999] [0.5000000000000000000000000000 0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761] [0.3333333333333333333333333333 0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545] [0.2500000000000000000000000000 0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782] [0.1999999999999999999999999999 0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666] [0.1666666666666666666666666666 0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999] [0.1428571428571428571428571428 0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846] [0.1250000000000000000000000000 0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703] [0.1111111111111111111111111111 0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571] [0.09999999999999999999999999999 0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310] [0.09090909090909090909090909090 0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333] [0.08333333333333333333333333333 0.07692307692307692307692307692 0.07142857142857142857142857142 0.06666666666666666666666666666 0.06250000000000000000000000000 0.05882352941176470588235294117 0.05555555555555555555555555555 0.05263157894736842105263157894 0.04999999999999999999999999999 0.04761904761904761904761904761 0.04545454545454545454545454545 0.04347826086956521739130434782 0.04166666666666666666666666666 0.03999999999999999999999999999 0.03846153846153846153846153846 0.03703703703703703703703703703 0.03571428571428571428571428571 0.03448275862068965517241379310 0.03333333333333333333333333333 0.03225806451612903225806451612] [0.07692307692307692307692307692 0.07142857142 ** WARNING: Output too long, hence truncated. Errors (if any) and Timing Info: Timing: real 0m0.089s user 0m0.070s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:38:29 2004 Input: h=mathilbert(20); d=matdet(h) 1.*d sizedigit(1/d) hr=1.*h; dr=matdet(hr) Output: 1/2377454716768534509091644243427616440175419837753486493033185331234419759310644585187585766816573773440565759867265558971765638419710793303386582324149811241023554489166154717809635257797836800000000000000000000000000000000000 4.206178956624722655882045573 E-226 226 4.214994460011957212043903530 E-226 Errors (if any) and Timing Info: Timing: real 0m0.081s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:40:01 2004 Input: m=[a,b,c;d,e,f;g,h,i] n=[1,2,3;4,5,6;7,8,9] m*n Output: [a b c] [d e f] [g h i] [1 2 3] [4 5 6] [7 8 9] [a + (4*b + 7*c) 2*a + (5*b + 8*c) 3*a + (6*b + 9*c)] [d + (4*e + 7*f) 2*d + (5*e + 8*f) 3*d + (6*e + 9*f)] [g + (4*h + 7*i) 2*g + (5*h + 8*i) 3*g + (6*h + 9*i)] Errors (if any) and Timing Info: Timing: real 0m0.056s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:41:15 2004 Input: vector(10,i,i^2) Output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:43:36 2004 Input: n=10^15+3 Output: 1000000000000003 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:44:31 2004 Input: n=10^15+3 factor(n,200000) Output: 1000000000000003 [1000000000000003 1] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:46:38 2004 Input: n=10^15+3 factor(n,200000) a=Mod(2,n) a^(n-1) Output: 1000000000000003 [1000000000000003 1] Mod(2, 1000000000000003) Mod(70605991389233, 1000000000000003) Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:47:04 2004 Input: n=10^15+3 factor(n,200000) a=Mod(2,n) a^(n-1) factor(n) Output: 1000000000000003 [1000000000000003 1] Mod(2, 1000000000000003) Mod(70605991389233, 1000000000000003) [14902357 1] [67103479 1] Errors (if any) and Timing Info: Timing: real 0m0.076s user 0m0.060s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:55:21 2004 Input: nfint(x^2+1) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: nfint(x^2+1) ^----- Timing: real 0m0.053s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:55:48 2004 Input: k=nfinit(x^2+1) Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]] Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:55:54 2004 Input: k=nfinit(x^2+1); Output: Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 20:56:09 2004 Input: k=nfinit(x^2+5); k.disc Output: -20 Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 21:10:07 2004 Input: k=nfinit(x^2-5); k.disc k.fu Output: 5 Errors (if any) and Timing Info: *** incorrect type in .fu: k.fu ^-- Timing: real 0m0.058s user 0m0.020s sys 0m0.040s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:07:06 2004 Input: k=bnfinit(x^2-5); k.disc k.fu Output: 5 [1/2*x - 1/2] Errors (if any) and Timing Info: Timing: real 0m0.095s user 0m0.080s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:11:13 2004 Input: n=[-2,1,17;1,0,-10;0,0,1] m=[4,7,2;2,4,6;0,0,0] m*n Output: [-2 1 17] [1 0 -10] [0 0 1] [4 7 2] [2 4 6] [0 0 0] [-1 4 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.057s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:12:32 2004 Input: k=nfinit(x^2-5); k.disc k.fu Output: 5 Errors (if any) and Timing Info: *** incorrect type in .fu: k.fu ^-- Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:12:38 2004 Input: m=[a,b,c; d,e,f] m[1,2] Output: [a b c] [d e f] b Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:16:50 2004 Input: m=[4,7,2; 2,4,6; 0,0,0] n=[-2,1,17; 1,0,-10; 0,0,1] a=m*n Output: [4 7 2] [2 4 6] [0 0 0] [-2 1 17] [1 0 -10] [0 0 1] [-1 4 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:19:40 2004 Input: m=[4,7,2; 2,4,6; ,,] n=[-2,1,17; 1,0,-10; 0,0,1] a=m*n Output: [-2 1 17] [1 0 -10] [0 0 1] [-2*m m 17*m] [m 0 -10*m] [0 0 m] Errors (if any) and Timing Info: *** unexpected character: m=[4,7,2;2,4,6;,,] ^--- Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:19:59 2004 Input: m=[4,7,2; 2,4,6; 0, 0, 0] n=[-2,1,17; 1,0,-10; 0,0,1] a=m*n Output: [4 7 2] [2 4 6] [0 0 0] [-2 1 17] [1 0 -10] [0 0 1] [-1 4 0] [0 2 0] [0 0 0] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:28:11 2004 Input: k=bnfinit(x^3-2); k.fu Output: [x - 1] Errors (if any) and Timing Info: Timing: real 0m0.107s user 0m0.100s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:29:15 2004 Input: k=bnfinit(x^3-2); k.fu k.roots Output: [x - 1] [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I] Errors (if any) and Timing Info: Timing: real 0m0.109s user 0m0.090s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:31:07 2004 Input: k=nfinit(x^3-2); k.disc k.zk Output: -108 [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:47:10 2004 Input: polcompositum(x^3-2,x^3-2) Output: [x^3 + 2, x^6 + 40*x^3 + 1372]~ Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:47:57 2004 Input: k=nfinit(x^6 + 40*x^3 + 1372) Output: [x^6 + 40*x^3 + 1372, [0, 3], -34992, 48009024, [[1, 2.519842099789746329534421214 + 2.182247271943442807120145228*I, 1.587401051968199474751705639 + 10.99783709598882101106783357*I, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I, 0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -1.923661050931536319759458123 - 5.115708079723970549004873536*I; 1, 0.6299605249474365823836053036 + 3.273370907915164210680217842*I, -10.31810683779329658588608665 + 4.124188910995807879150437590*I, -0.5000000000000000000000000000 - 0.8660254037844386467637231707*I, 0.6299605249474365823836053036 + 1.091123635971721403560072614*I, 4.262203155904598424255116917 - 2.849063741240763986472595062*I; 1, -3.149802624737182911918026518 + 1.091123635971721403560072614*I, 8.730705785825097111134381016 - 6.873648184993013131917395984*I, -0.5000000000000000000000000000 + 0.8660254037844386467637231707*I, -1.259921049894873164767210607 + 0.E-77*I, -3.838542104973062104495658794 + 3.132669742267645209296001644*I], [2, 2, 2; 5.039684199579492659068842429 - 4.364494543886885614240290456*I, 1.259921049894873164767210607 - 6.546741815830328421360435685*I, -6.299605249474365823836053036 - 2.182247271943442807120145228*I; 3.174802103936398949503411278 - 21.99567419197764202213566715*I, -20.63621367558659317177217331 - 8.248377821991615758300875181*I, 17.46141157165019422226876203 + 13.74729636998602626383479196*I; -1.000000000000000000000000000 - 1.732050807568877293527446341*I, -1.000000000000000000000000000 + 1.732050807568877293527446341*I, -1.000000000000000000000000000 - 1.732050807568877293527446341*I; 1.259921049894873164767210607 - 2.182247271943442807120145228*I, 1.259921049894873164767210607 - 2.182247271943442807120145228*I, -2.519842099789746329534421214 + 0.E-77*I; -3.847322101863072639518916246 + 10.23141615944794109800974707*I, 8.524406311809196848510233835 + 5.698127482481527972945190124*I, -7.677084209946124208991317589 - 6.265339484535290418592003290*I], [6, 0.E-76, 2.76357393 E-76, -3.000000000000000000000000000, 1.03634022 E-76, -3.000000000000000000000000000; 0.E-76, 66.67084418266437793957163685, 0.E-75, 4.83625438 E-76, 23.81101577952299212127558458, -14.28660946771379527276535075; 2.76357393 E-76, 0.E-75, 740.8335773381854208831198370, -2.76357393 E-76, 1.10542957 E-75, -340.1786834716157544871468639; -3.000000000000000000000000000, 4.83625438 E-76, -2.76357393 E-76, 6.000000000000000000000000000, 1.03634022 E-76, 3.000000000000000000000000000; 1.03634022 E-76, 23.81101577952299212127558458, 1.10542957 E-75, 1.03634022 E-76, 9.524406311809196848510233835, -4.762203155904598424255116917; -3.000000000000000000000000000, -14.28660946771379527276535075, -340.1786834716157544871468639, 3.000000000000000000000000000, -4.762203155904598424255116917, 161.4050122909006713806375265], [6, 0, 0, -3, 0, -3; 0, 0, -120, 0, 0, 54; 0, -120, 0, 0, -66, 18; -3, 0, 0, -3, 0, 0; 0, 0, -66, 0, 0, 30; -3, 54, 18, 0, 30, -15], [-18, -12, -6, -12, -12, -15; 0, -6, 0, 0, 0, -3; 0, 0, -3, 0, 0, 0; 0, 0, 0, -6, 0, -3; 0, 0, 0, 0, -6, -3; 0, 0, 0, 0, 0, -3], [-3888, 21384, 0, 3888, -38880, 0; 21384, 42768, 29160, -21384, -60264, 64152; 0, 29160, 0, 0, -52488, 0; 3888, -21384, 0, 7776, 38880, 0; -38880, -60264, -52488, 38880, 77760, -116640; 0, 64152, 0, 0, -116640, 0], [11664, [-3888, 3888, 0, 3888, 1944, 0]~]], [2.519842099789746329534421214 + 2.182247271943442807120145228*I, 0.6299605249474365823836053036 + 3.273370907915164210680217842*I, -3.149802624737182911918026518 + 1.091123635971721403560072614*I], [1, x, x^2, 1/36*x^3 + 1/18, 1/252*x^4 + 55/126*x, 1/5292*x^5 + 1/756*x^4 + 1/108*x^3 - 1205/2646*x^2 - 71/378*x - 17/54], [1, 0, 0, -2, 0, 1764; 0, 1, 0, 0, -110, 1764; 0, 0, 1, 0, 0, 2410; 0, 0, 0, 36, 0, -1764; 0, 0, 0, 0, 252, -1764; 0, 0, 0, 0, 0, 5292], [1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 7, 3, 0, -2, 0, 49, -6, 15, 0, 0, 49, -1, 0, -23, 0, 7, -6, 0, 5, 2, 0, 3, 15, -23, 2, -15; 0, 1, 0, 0, 0, 0, 1, 0, 0, -3, 7, 1, 0, 0, -110, 49, 0, 67, 0, -3, 49, 0, -1, -22, 0, 7, 0, -1, 5, -1, 0, 1, 67, -22, -1, -39; 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 10, 3, 1, 0, 0, 67, 0, 22, 0, 0, 67, 0, 0, -31, 0, 10, 0, 0, 7, -1, 0, 3, 22, -31, -1, -22; 0, 0, 0, 1, 0, 0, 0, 0, 36, 0, -7, -19, 0, 36, 0, -49, 10, -25, 1, 0, -49, -1, 0, 22, 0, -7, 10, 0, -5, -4, 0, -19, -25, 22, -4, 24; 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, -7, 0, 0, 0, 252, -49, 0, -133, 0, 7, -49, 0, 2, 21, 1, -7, 0, 2, -5, 1, 0, 0, -133, 21, 1, 69; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 21, 7, 0, 0, 0, 147, 0, 49, 0, 0, 147, 0, 0, -68, 0, 21, 0, 0, 15, -2, 1, 7, 49, -68, -2, -49]] Errors (if any) and Timing Info: Timing: real 0m0.079s user 0m0.060s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:48:08 2004 Input: k=nfinit(x^6 + 40*x^3 + 1372); k.zk Output: [1, x, x^2, 1/36*x^3 + 1/18, 1/252*x^4 + 55/126*x, 1/5292*x^5 + 1/756*x^4 + 1/108*x^3 - 1205/2646*x^2 - 71/378*x - 17/54] Errors (if any) and Timing Info: Timing: real 0m0.086s user 0m0.060s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:49:18 2004 Input: polyredabs(x^6 + 40*x^3 + 1372) Output: Errors (if any) and Timing Info: *** expected character: ',' instead of: polyredabs(x^6+40*x^3+1372) ^--------------- Timing: real 0m0.059s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:49:41 2004 Input: polredabs(x^6 + 40*x^3 + 1372) Output: x^6 - 3*x^5 + 5*x^3 - 3*x + 1 Errors (if any) and Timing Info: Timing: real 0m0.087s user 0m0.070s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:50:06 2004 Input: polisirreducible(x^6 + 40*x^3 + 1372) Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:50:26 2004 Input: polisirreducible(x^2-1) Output: 0 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:50:56 2004 Input: k=nfinit(x^3-2) k.zk Output: [x^3 - 2, [1, 1], -108, 1, [[1, 1.259921049894873164767210607, 1.587401051968199474751705639; 1, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I, -0.7937005259840997373758528196 - 1.374729636998602626383479196*I], [1, 2; 1.259921049894873164767210607, -1.259921049894873164767210607 - 2.182247271943442807120145228*I; 1.587401051968199474751705639, -1.587401051968199474751705639 + 2.749459273997205252766958393*I], [3, 0.E-67, -1.48368246 E-67; 0.E-67, 4.762203155904598424255116917, -2.22552368 E-67; -1.48368246 E-67, -2.22552368 E-67, 7.559526299369238988603263643], [3, 0, 0; 0, 0, 6; 0, 6, 0], [6, 0, 0; 0, 6, 0; 0, 0, 3], [-36, 0, 0; 0, 0, -18; 0, -18, 0], [36, [0, 18, 0]~]], [1.259921049894873164767210607, -0.6299605249474365823836053036 + 1.091123635971721403560072614*I], [1, x, x^2], [1, 0, 0; 0, 1, 0; 0, 0, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0; 0, 1, 0, 1, 0, 0, 0, 0, 2; 0, 0, 1, 0, 1, 0, 1, 0, 0]] [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:51:16 2004 Input: k=nfinit(x^3-2); k.zk Output: [1, x, x^2] Errors (if any) and Timing Info: Timing: real 0m0.059s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:51:26 2004 Input: k=nfinit(x^3-2); k.zk w=x Output: [1, x, x^2] x Errors (if any) and Timing Info: Timing: real 0m0.063s user 0m0.040s sys 0m0.030s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:51:50 2004 Input: k=nfinit(x^3-2); k.zk w=x w1=1 w2=x w3=x^2 Output: [1, x, x^2] x 1 x x^2 Errors (if any) and Timing Info: Timing: real 0m0.073s user 0m0.050s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Sun Feb 15 22:53:56 2004 Input: k=nfinit(x^3-2); k.zk w=x w1=1 w2=x w3=x^2 trace(w3) Output: [1, x, x^2] x 1 x x^2 2*x^2 Errors (if any) and Timing Info: Timing: real 0m0.068s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (218.79.220.21) Time: Mon Feb 16 00:18:33 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host 2(SERVFAIL) (195.198.73.254) Time: Mon Feb 16 04:48:46 2004 Input: factor(4080) Output: [2 4] [3 1] [5 1] [17 1] Errors (if any) and Timing Info: Timing: real 0m0.092s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host 3(NXDOMAIN) (212.205.10.10) Time: Mon Feb 16 07:56:49 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.074s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host nat-b.acn.pl. (212.76.39.249) Time: Mon Feb 16 12:57:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.083s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host 2(SERVFAIL) (140.115.25.8) Time: Mon Feb 16 20:07:09 2004 Input: 1 Output: 1 Errors (if any) and Timing Info: Timing: real 0m0.071s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host roam169-183.student.harvard.edu. (140.247.169.183) Time: Mon Feb 16 21:17:00 2004 Input: k=nfinit(x^2+3) k.zk Output: [x^2 + 3, [0, 1], -3, 2, [Mat([1, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]), [2; 1.000000000000000000000000000 - 1.732050807568877293527446341*I], [2, 1.000000000000000000000000000; 1.000000000000000000000000000, 2.000000000000000000000000000], [2, 1; 1, -1], [-3, -1; 0, -1], [-1, -1; -1, 2], [3, [1, 1]~]], [0.E-67 + 1.732050807568877293527446341*I], [1, 1/2*x + 1/2], [1, -1; 0, 2], [1, 0, 0, -1; 0, 1, 1, 1]] [1, 1/2*x + 1/2] Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host 3(NXDOMAIN) (203.162.3.146) Time: Tue Feb 17 03:08:15 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ZWLEE.ECE.CMU.EDU. (128.2.132.182) Time: Tue Feb 17 10:35:28 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.065s user 0m0.030s sys 0m0.020s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:14 2004 Input: prime(7) Output: 17 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:24 2004 Input: prime(71) Output: 353 Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:30 2004 Input: prime(71111) Output: Errors (if any) and Timing Info: *** not enough precalculated primes Timing: real 0m0.057s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:38 2004 Input: prime(111) Output: 607 Errors (if any) and Timing Info: Timing: real 0m0.053s user 0m0.050s sys 0m0.010s ************** PARI ***************** Host pD9E0C8D5.dip.t-dialin.net. (217.224.200.213) Time: Tue Feb 17 12:46:46 2004 Input: prime(1111) Output: 8933 Errors (if any) and Timing Info: Timing: real 0m0.061s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host net-29067.fas.harvard.edu. (140.247.28.233) Time: Tue Feb 17 15:12:47 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.060s user 0m0.040s sys 0m0.020s ************** PARI ***************** Host net-29067.fas.harvard.edu. (140.247.28.233) Time: Tue Feb 17 15:12:59 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.055s user 0m0.030s sys 0m0.030s ************** PARI ***************** Host ar3-m13.net.hinet.hr. (195.29.66.13) Time: Tue Feb 17 17:16:18 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.058s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam149-32.student.harvard.edu. (140.247.149.32) Time: Tue Feb 17 18:39:58 2004 Input: "Replace this by some code, then click [PARI] or [MAGMA]!" Output: "Replace this by some code, then click [PARI] or [MAGMA]!" Errors (if any) and Timing Info: Timing: real 0m0.066s user 0m0.040s sys 0m0.010s ************** PARI ***************** Host roam149-32.student.harvard.edu. (140.247.149.32) Time: Tue Feb 17 20:06:30 2004 Input: Q := 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