'72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Wed Aug 23 14:46:53 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.056s user 0m0.007s sys 0m0.009s '69.125.' ************** PARI ***************** Host 69.125.40.37 (69.125.40.37) Time: Wed Aug 23 13:30:35 2006 Input: 9*10^9 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 9000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.008s sys 0m0.009s '69.125.' ************** PARI ***************** Host 69.125.40.37 (69.125.40.37) Time: Wed Aug 23 13:30:18 2006 Input: 9*10^9 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 9000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.287s user 0m0.005s sys 0m0.012s '67.182.' ************** PARI ***************** Host 67.182.44.233 (67.182.44.233) Time: Tue Aug 22 18:02:14 2006 Input: -2.4 + 0.11 - 3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = -5.2900000000000000000000000000000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '69.208.' ************** PARI ***************** Host 69.208.163.19 (69.208.163.19) Time: Tue Aug 22 17:57:06 2006 Input: 2^4*4-2/8 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 255/4 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.009s sys 0m0.006s '69.208.' ************** PARI ***************** Host 69.208.163.19 (69.208.163.19) Time: Tue Aug 22 17:56:14 2006 Input: 6+4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 10 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '69.208.' ************** PARI ***************** Host 69.208.163.19 (69.208.163.19) Time: Tue Aug 22 17:55:49 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '68.225.' ************** PARI ***************** Host 68.225.63.159 (68.225.63.159) Time: Tue Aug 22 17:42:20 2006 Input: 16.5*6 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 99.000000000000000000000000000000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.008s '24.252.' ************** PARI ***************** Host 24.252.118.249 (24.252.118.249) Time: Tue Aug 22 17:27:16 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.009s '131.111' ************** PARI ***************** Host 131.111.200.200 (131.111.200.200) Time: Tue Aug 22 17:07:25 2006 Input: sqrt(2*3.99E+14*(1/6678000-1/6678001)/(1-6678000^2/6678001^2)) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 7729.7110001915802113615387877878229188 ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.011s sys 0m0.006s '131.111' ************** PARI ***************** Host 131.111.200.200 (131.111.200.200) Time: Tue Aug 22 17:07:16 2006 Input: sqrt(2*3.99E+14*(1/6678000-1/6678000)/(1-6678000^2/6678000^2)) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** division by zero Timing: real 0m0.015s user 0m0.008s sys 0m0.006s '131.111' ************** PARI ***************** Host 131.111.200.200 (131.111.200.200) Time: Tue Aug 22 17:06:57 2006 Input: sqrt(2*3.99E+14*(1/6678000-1/6778000)/(1-6678000^2/6778000^2)) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 7758.3797162510811541316832269815493887 ? Goodbye! Errors/timing (if any): Timing: real 0m0.092s user 0m0.008s sys 0m0.009s '69.238.' ************** PARI ***************** Host 69.238.128.170 (69.238.128.170) Time: Tue Aug 22 16:46:25 2006 Input: 3x-4(x+11)=-2(x+8)-43 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x-4(x+11)=-2(x+8)-43. *** unexpected character: 3x-4(x+11)=-2(x+8)-43 ^----------- Timing: real 0m0.038s user 0m0.008s sys 0m0.007s '66.27.2' ************** PARI ***************** Host 66.27.234.197 (66.27.234.197) Time: Tue Aug 22 16:24:51 2006 Input: -3*3= Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** unexpected character: -3*3= ^- Timing: real 0m0.014s user 0m0.006s sys 0m0.007s '72.30.9' ************** PARI ***************** Host 72.30.98.136 (72.30.98.136) Time: Tue Aug 22 05:47:23 2006 Input: factor(2^(2^5)+1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [641 1] [6700417 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '71.65.2' ************** PARI ***************** Host 71.65.241.42 (71.65.241.42) Time: Mon Aug 21 20:24:17 2006 Input: collatzlength(x0)= { local(x,i); x=x0; i=0; while(x-1, x=if(Mod(x,2)==Mod(0,2), x/2, (3*x+1)/2);i=i++ ); i } collatzlength(299) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = 75 ? Goodbye! Errors/timing (if any): Timing: real 0m0.048s user 0m0.006s sys 0m0.012s '72.30.1' ************** PARI ***************** Host 72.30.111.31 (72.30.111.31) Time: Mon Aug 21 19:25:39 2006 Input: factor(x^6-1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [x - 1 1] [x + 1 1] [x^2 - x + 1 1] [x^2 + x + 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.182s user 0m0.006s sys 0m0.011s '69.154.' ************** PARI ***************** Host 69.154.89.104 (69.154.89.104) Time: Mon Aug 21 18:15:53 2006 Input: t-(-16)=9 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** unexpected character: t-(-16)=9 ^-- Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '69.154.' ************** PARI ***************** Host 69.154.89.104 (69.154.89.104) Time: Mon Aug 21 18:08:00 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.007s '68.88.2' ************** PARI ***************** Host 68.88.200.203 (68.88.200.203) Time: Mon Aug 21 16:58:11 2006 Input: 99 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 99 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.004s sys 0m0.010s '24.110.' ************** PARI ***************** Host 24.110.168.190 (24.110.168.190) Time: Mon Aug 21 15:24:21 2006 Input: 3y/x-2cx/3y Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = y ? Goodbye! Errors/timing (if any): *** Warning: unused characters: y/x-2cx/3y. Timing: real 0m0.062s user 0m0.006s sys 0m0.011s '24.45.7' ************** PARI ***************** Host 24.45.76.206 (24.45.76.206) Time: Mon Aug 21 14:07:55 2006 Input: 5=5 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** unexpected character: 5=5 ^-- Timing: real 0m0.015s user 0m0.006s sys 0m0.009s '24.21.1' ************** PARI ***************** Host 24.21.126.54 (24.21.126.54) Time: Mon Aug 21 13:16:03 2006 Input: 2000000000 x .01 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x.01. *** unknown member function: 2000000000x.01 ^-- Timing: real 0m0.023s user 0m0.008s sys 0m0.008s '24.21.1' ************** PARI ***************** Host 24.21.126.54 (24.21.126.54) Time: Mon Aug 21 13:15:46 2006 Input: 2000000000 x .01% Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. '209.99.' ************** PARI ***************** Host 209.99.19.8 (209.99.19.8) Time: Mon Aug 21 12:42:23 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.006s sys 0m0.009s '128.112' ************** PARI ***************** Host 128.112.33.159 (128.112.33.159) Time: Mon Aug 21 12:38:51 2006 Input: (1+x)^20 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x^20 + 20*x^19 + 190*x^18 + 1140*x^17 + 4845*x^16 + 15504*x^15 + 38760*x^14 + 77520*x^13 + 125970*x^12 + 167960*x^11 + 184756*x^10 + 167960*x^9 + 125970*x^8 + 77520*x^7 + 38760*x^6 + 15504*x^5 + 4845*x^4 + 1140*x^3 + 190*x^2 + 20*x + 1 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.010s '199.172' ************** PARI ***************** Host 199.172.169.21 (199.172.169.21) Time: Mon Aug 21 10:47:03 2006 Input: a=(x^2+y^2+z^2)^15 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x^30 + (15*y^2 + 15*z^2)*x^28 + (105*y^4 + 210*z^2*y^2 + 105*z^4)*x^26 + (455*y^6 + 1365*z^2*y^4 + 1365*z^4*y^2 + 455*z^6)*x^24 + (1365*y^8 + 5460*z^2*y^6 + 8190*z^4*y^4 + 5460*z^6*y^2 + 1365*z^8)*x^22 + (3003*y^10 + 15015*z^2*y^8 + 30030*z^4*y^6 + 30030*z^6*y^4 + 15015*z^8*y^2 + 3003*z^10)*x^20 + (5005*y^12 + 30030*z^2*y^10 + 75075*z^4*y^8 + 100100*z^6*y^6 + 75075*z^8*y^4 + 30030*z^10*y^2 + 5005*z^12)*x^18 + (6435*y^14 + 45045*z^2*y^12 + 135135*z^4*y^10 + 225225*z^6*y^8 + 225225*z^8*y^6 + 135135*z^10*y^4 + 45045*z^12*y^2 + 6435*z^14)*x^16 + (6435*y^16 + 51480*z^2*y^14 + 180180*z^4*y^12 + 360360*z^6*y^10 + 450450*z^8*y^8 + 360360*z^10*y^6 + 180180*z^12*y^4 + 51480*z^14*y^2 + 6435*z^16)*x^14 + (5005*y^18 + 45045*z^2*y^16 + 180180*z^4*y^14 + 420420*z^6*y^12 + 630630*z^8*y^10 + 630630*z^10*y^8 + 420420*z^12*y^6 + 180180*z^14*y^4 + 45045*z^16*y^2 + 5005*z^18)*x^12 + (3003*y^20 + 30030*z^2*y^18 + 135135*z^4*y^16 + 360360*z^6*y^14 + 630630*z^8*y^12 + 756756*z^10*y^10 + 630630*z^12*y^8 + 360360*z^14*y^6 + 135135*z^16*y^4 + 30030*z^18*y^2 + 3003*z^20)*x^10 + (1365*y^22 + 15015*z^2*y^20 + 75075*z^4*y^18 + 225225*z^6*y^16 + 450450*z^8*y^14 + 630630*z^10*y^12 + 630630*z^12*y^10 + 450450*z^14*y^8 + 225225*z^16*y^6 + 75075*z^18*y^4 + 15015*z^20*y^2 + 1365*z^22)*x^8 + (455*y^24 + 5460*z^2*y^22 + 30030*z^4*y^20 + 100100*z^6*y^18 + 225225*z^8*y^16 + 360360*z^10*y^14 + 420420*z^12*y^12 + 360360*z^14*y^10 + 225225*z^16*y^8 + 100100*z^18*y^6 + 30030*z^20*y^4 + 5460*z^22*y^2 + 455*z^24)*x^6 + (105*y^26 + 1365*z^2*y^24 + 8190*z^4*y^22 + 30030*z^6*y^20 + 75075*z^8*y^18 + 135135*z^10*y^16 + 180180*z^12*y^14 + 180180*z^14*y^12 + 135135*z^16*y^10 + 75075*z^18*y^8 + 30030*z^20*y^6 + 8190*z^22*y^4 + 1365*z^24*y^2 + 105*z^26)*x^4 + (15*y^28 + 210*z^2*y^26 + 1365*z^4*y^24 + 5460*z^6*y^22 + 15015*z^8*y^20 + 30030*z^10*y^18 + 45045*z^12*y^16 + 51480*z^14*y^14 + 45045*z^16*y^12 + 30030*z^18*y^10 + 15015*z^20*y^8 + 5460*z^22*y^6 + 1365*z^24*y^4 + 210*z^26*y^2 + 15*z^28)*x^2 + (y^30 + 15*z^2*y^28 + 105*z^4*y^26 + 455*z^6*y^24 + 1365*z^8*y^22 + 3003*z^10*y^20 + 5005*z^12*y^18 + 6435*z^14*y^16 + 6435*z^16*y^14 + 5005*z^18*y^12 + 3003*z^20*y^10 + 1365*z^22*y^8 + 455*z^24*y^6 + 105*z^26*y^4 + 15*z^28*y^2 + z^30) ? Goodbye! Errors/timing (if any): Timing: real 0m0.036s user 0m0.010s sys 0m0.006s '199.172' ************** PARI ***************** Host 199.172.169.21 (199.172.169.21) Time: Mon Aug 21 10:46:32 2006 Input: mathilbert(10)^6 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [263861986074337682866598658066009962404513/18649941184431547105657600263389184000000 13916370422793057333854366486049233/1615247488573530944210078128128000 1132808775826053882967916900817043/176710836356762359708452991795200 24306250143189146865512352124950371843/4703600686726122109539747509108736000 780103421152595930763738081883394069/179184788065757032744371333680332800 63384164058838773376695119747773621031/16798573881164721819784812532531200000 134484051734565974845476800893928668937/40316577314795332367483550078074880000 16751637651306080958810077336996036063503/5597284817204085310352299535839395840000 52124191622632203761874981966328598359259/19190690801842578206922169837163642880000 3061393286661591565778580253259078356057763/1230603047668155327518884140808118599680000] [13916370422793057333854366486049233/1615247488573530944210078128128000 11840379415335103201377327521948705289858073/2256642883316217199784569631870091264000000 55035378377643639919549615899225827/14096705354823542785833409118208000 158324062652739908328394405227714059/50305889697605584059248636461056000 161971341824575226703589824385007579/61085723204235352071944772845568000 8422710658006760389428689385022798463/3665143392254121124316686370734080000 6205166512214915030771199527921026267/3054286160211767603597238642278400000 265006409219960616588529810873289648591/145384021226080137931228559372451840000 7575974009714317550266532292857727630707/4579596668621524344833699620232232960000 150674131239185450763823212432663729243433/99442670518638814344960334610757058560000] [1132808775826053882967916900817043/176710836356762359708452991795200 55035378377643639919549615899225827/14096705354823542785833409118208000 1638916057345975270846712552176757609602237/564160720829054299946142407967522816000000 93879719799953779837361780013085211/40087505852779449797213757179904000 1291337285445316726449750534452741/654489891473950200770836851916800 5995675212562349517590607409299157/3506195847181876075558054563840000 11081736910412758574165904753340618801/7330286784508242248633372741468160000 1478980742917064920881610957377939577319/1090380159195601034484214195293388800000 4832123093840029670999888975777570318207/3925368573104163724143171103056199680000 98105701915581517196594234375593138105933/87012336703808962551840292784412426240000] [24306250143189146865512352124950371843/4703600686726122109539747509108736000 158324062652739908328394405227714059/50305889697605584059248636461056000 93879719799953779837361780013085211/40087505852779449797213757179904000 179996672339190542936701642710042941995274053/95343161820110176690898066946511355904000000 3269833830457647737239392928750157/2055769530911766656267372163072000 85018584791429059906299888426749777/61673085927352999688021164892160000 4008657153739045932[+++] ? Goodbye! Errors/timing (if any): Timing: real 0m0.022s user 0m0.016s sys 0m0.006s '149.169' ************** PARI ***************** Host 149.169.59.48 (149.169.59.48) Time: Mon Aug 21 10:11:37 2006 Input: log(x) + log(10^ x) - x Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** log: log is not meromorphic at 0. Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '88.70.5' ************** PARI ***************** Host 88.70.5.73 (88.70.5.73) Time: Mon Aug 21 09:58:36 2006 Input: print gap('SubgroupsSolvableGroup(SymmetricGroup(5));') Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: ...p('SubgroupsSolvableGroup *** (SymmetricGroup(5)); ^-------------------- Timing: real 0m0.014s user 0m0.004s sys 0m0.011s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Mon Aug 21 09:53:31 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.008s sys 0m0.007s '132.227' ************** PARI ***************** Host 132.227.205.230 (132.227.205.230) Time: Mon Aug 21 09:48:49 2006 Input: factor(1543542) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 1] [3 1] [7 1] [11 1] [13 1] [257 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.053s user 0m0.006s sys 0m0.007s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 05:19:01 2006 Input: E = ellinit([0,0,0,5,10]); ellidentify(E) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): *** ellidentify: Elliptic curves files not available for conductor 400 [missing /home/was/sage/sage-0.7.5-2005-09-29/source/../local/share/pari/elldata/ell0]. Timing: real 0m0.101s user 0m0.008s sys 0m0.010s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 05:04:34 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) P3 = elladd(E,P2,P) P4 = elladd(E,P2,P2) P1 = [6,16]; ellbil(E,P1,P1) ellbil(E, P,P1) e1 = exp(H1) e2 = exp(H2) e2/e1 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? ? %10 = 2.0540010071368139049948147805342830835 ? %11 = 0.51350025178420347624870369513357077103 ? %12 = 1.1369793615653033564803326240516575848 ? %13 = 7.7990427915805383425320575762755536977 ? %14 = 6.8594409496082957922222546031236954267 ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.007s sys 0m0.010s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 05:03:27 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) P3 = elladd(E,P2,P) P4 = elladd(E,P2,P2) P1 = [6,16]; ellbil(E,P1,P1) ellbil(E, P,P1) exp(H1) exp(H2) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? ? %10 = 2.0540010071368139049948147805342830835 ? %11 = 0.51350025178420347624870369513357077103 ? %12 = 1.1369793615653033564803326240516575848 ? %13 = 7.7990427915805383425320575762755536977 ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.009s sys 0m0.008s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:18:58 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) P3 = elladd(E,P2,P) P4 = elladd(E,P2,P2) P1 = [6,16]; ellbil(E,P1,P1) ellbil(E, P,P1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? ? %10 = 2.0540010071368139049948147805342830835 ? %11 = 0.51350025178420347624870369513357077103 ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.010s sys 0m0.006s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:14:10 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) P3 = elladd(E,P2,P) P4 = elladd(E,P2,P2) P1 = [6,16]; ellbil(E,P1,P1) ellbil[E, P,P1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? ? %10 = 2.0540010071368139049948147805342830835 ? ? Goodbye! Errors/timing (if any): *** expected character: ']' instead of: ellbil[E,P,P1) ^---- Timing: real 0m0.017s user 0m0.006s sys 0m0.011s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:13:04 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) P3 = elladd(E,P2,P) P4 = elladd(E,P2,P2) ellheight(E, P2) ellheight(E,P3) ellheight(E, P4) P1 = [6,16]; ellbil(E,P1,P1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? %9 = 0.51350025178420347624870369513357077067 ? %10 = 1.1553755665144578215595833140505342343 ? %11 = 2.0540010071368139049948147805342830833 ? ? %13 = 2.0540010071368139049948147805342830835 ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.009s sys 0m0.009s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:11:53 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) P3 = elladd(E,P2,P) P4 = elladd(E,P2,P2) ellheight(E, P2) ellheight(E,P3) ellheight(E, P4) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? %9 = 0.51350025178420347624870369513357077067 ? %10 = 1.1553755665144578215595833140505342343 ? %11 = 2.0540010071368139049948147805342830833 ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.008s sys 0m0.009s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:10:50 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P2 = elladd(E,P,P) elladd(E,P2,P) elladd(E,P2,P2) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? %7 = [9, -28] ? %8 = [6, 16] ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.005s sys 0m0.011s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:10:17 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; elladd(E,P,P) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? %6 = [-1, -2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.007s sys 0m0.008s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:09:52 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) P = [1,4]; P*P Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? ? ? Goodbye! Errors/timing (if any): *** forbidden multiplication t_VEC * t_VEC. Timing: real 0m0.017s user 0m0.008s sys 0m0.009s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:09:15 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellheight(E, [1,-4]) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? %4 = 0.12837506294605086906217592378339269243 ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.007s sys 0m0.010s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:08:49 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) ellbill(E,[1,4], [6,-16]) ellheight(E, [1,-4]) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? ? %4 = 0.12837506294605086906217592378339269243 ? Goodbye! Errors/timing (if any): *** unknown function or error in formal parameters: ellbill(E,[1,4],[6,- ^-------------------- Timing: real 0m0.017s user 0m0.010s sys 0m0.006s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:07:20 2006 Input: E = ellinit([0,0,0,5,10]); H1 = ellheight(E,[1,4]) H2 = ellheight(E,[6,-16]) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 0.12837506294605086906217592378339269243 ? %3 = 2.0540010071368139049948147805342830833 ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.036s user 0m0.007s sys 0m0.011s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:06:49 2006 Input: E = ellinit([0,0,0,0,5]); E.a6 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %2 = 5 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.011s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:06:18 2006 Input: E = ellinit([0,0,0,0,5]); E.a6; Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.010s sys 0m0.006s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:06:05 2006 Input: E = ellinit([0,0,0,0,5]); E.a6; Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.009s sys 0m0.007s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:05:18 2006 Input: 3+4; Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.009s sys 0m0.007s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:04:53 2006 Input: E = ellinit([0,0,0,5,10]); E; 3+4; Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.008s sys 0m0.008s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:04:24 2006 Input: E = ellinit([0,0,0,5,10]); E; Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.008s sys 0m0.007s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:03:58 2006 Input: E = ellinit([0,0,0,5,10]); E; H1 = ellheight(E,[1,4]); H2 = ellheight(E,[6,-16]); H1; H2; Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.006s sys 0m0.009s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:03:22 2006 Input: E = ellinit([0,0,0,5,10]); Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.008s sys 0m0.008s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:02:29 2006 Input: E = ellinit([0,0,0,5,10]); ellheight(E,[1,4]); ellheight(E,[6,-16]); Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.007s sys 0m0.009s '141.20.' ************** PARI ***************** Host 141.20.50.154 (141.20.50.154) Time: Mon Aug 21 04:02:07 2006 Input: E = ellinit([0,0,0,5,10]); P = [1,4]; ellheight(E,P); ellheight(E,[6,-16]); Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.139s user 0m0.006s sys 0m0.014s '129.26.' ************** PARI ***************** Host 129.26.133.101 (129.26.133.101) Time: Mon Aug 21 02:34:30 2006 Input: (x+4)^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x^3 + 12*x^2 + 48*x + 64 ? Goodbye! Errors/timing (if any): Timing: real 0m0.076s user 0m0.006s sys 0m0.009s '24.166.' ************** PARI ***************** Host 24.166.28.255 (24.166.28.255) Time: Sun Aug 20 20:24:44 2006 Input: log 15 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = log15 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.007s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:54:18 2006 Input: for(n=1,1000,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96,102,103,110,115,119,120,124,130,138,140,146,148,152,155,158,159,160,161,163,167,168,175,177,178,179,187,193,195,196,197,198,202,213,215,217,229,230,234,235,240,245,248,253,254,263,265,267,275,280,282,283,285,292,294,297,302,305,307,311,312,315,317,321,324,325,329,333,335,338,340,341,342,345,358,362,363,365,378,381,383,393,410,412,413,421,423,428,430,434,436,437,443,450,455,457,458,459,470,473,477,478,479,483,485,490,492,494,498,500,510,518,519,522,524,528,535,543,549,553,564,567,569,572,577,578,581,582,584,590,598,609,615,616,617,621,624,628,630,636,637,638,640,643,645,647,653,657,658,660,662,665,677,679,686,694,696,700,705,707,713,714,716,721,723,726,732,733,738,741,742,750,752,755,756,761,770,776,777,783,789,794,796,797,808,813,815,819,821,828,833,840,845,849,852,854,856,864,866,869,874,882,885,886,889,892,897,899,901,902,904,907,910,914,920,924,927,928,931,933,940,942,945,957,960,963,967,970,979,984,988,993,994,998,1000, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.023s user 0m0.016s sys 0m0.007s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:54:03 2006 Input: for(n=1,700,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96,102,103,110,115,119,120,124,130,138,140,146,148,152,155,158,159,160,161,163,167,168,175,177,178,179,187,193,195,196,197,198,202,213,215,217,229,230,234,235,240,245,248,253,254,263,265,267,275,280,282,283,285,292,294,297,302,305,307,311,312,315,317,321,324,325,329,333,335,338,340,341,342,345,358,362,363,365,378,381,383,393,410,412,413,421,423,428,430,434,436,437,443,450,455,457,458,459,470,473,477,478,479,483,485,490,492,494,498,500,510,518,519,522,524,528,535,543,549,553,564,567,569,572,577,578,581,582,584,590,598,609,615,616,617,621,624,628,630,636,637,638,640,643,645,647,653,657,658,660,662,665,677,679,686,694,696,700, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.022s user 0m0.016s sys 0m0.007s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:53:47 2006 Input: for(n=1,500,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96,102,103,110,115,119,120,124,130,138,140,146,148,152,155,158,159,160,161,163,167,168,175,177,178,179,187,193,195,196,197,198,202,213,215,217,229,230,234,235,240,245,248,253,254,263,265,267,275,280,282,283,285,292,294,297,302,305,307,311,312,315,317,321,324,325,329,333,335,338,340,341,342,345,358,362,363,365,378,381,383,393,410,412,413,421,423,428,430,434,436,437,443,450,455,457,458,459,470,473,477,478,479,483,485,490,492,494,498,500, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.019s user 0m0.008s sys 0m0.010s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:53:27 2006 Input: for(n=1,400,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96,102,103,110,115,119,120,124,130,138,140,146,148,152,155,158,159,160,161,163,167,168,175,177,178,179,187,193,195,196,197,198,202,213,215,217,229,230,234,235,240,245,248,253,254,263,265,267,275,280,282,283,285,292,294,297,302,305,307,311,312,315,317,321,324,325,329,333,335,338,340,341,342,345,358,362,363,365,378,381,383,393, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.018s user 0m0.013s sys 0m0.005s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:51:58 2006 Input: for(n=1,300,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96,102,103,110,115,119,120,124,130,138,140,146,148,152,155,158,159,160,161,163,167,168,175,177,178,179,187,193,195,196,197,198,202,213,215,217,229,230,234,235,240,245,248,253,254,263,265,267,275,280,282,283,285,292,294,297, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.010s sys 0m0.006s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:51:31 2006 Input: for(n=1,200,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96,102,103,110,115,119,120,124,130,138,140,146,148,152,155,158,159,160,161,163,167,168,175,177,178,179,187,193,195,196,197,198, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.009s sys 0m0.007s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:46:16 2006 Input: for(n=1,100,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39,57,59,63,64,69,70,82,86,88,93,96, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.016s user 0m0.009s sys 0m0.007s '69.27.6' ************** PARI ***************** Host 69.27.68.214 (69.27.68.214) Time: Sun Aug 20 18:45:30 2006 Input: for(n=1,50,if(isprime(n^2+n+1712329866165608771),print1(n","))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 3,14,19,21,27,38,39, ? ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.092s user 0m0.008s sys 0m0.007s '72.30.9' ************** PARI ***************** Host 72.30.98.145 (72.30.98.145) Time: Sun Aug 20 16:02:25 2006 Input: for(n=1,20, print1(n,": ",valuation(n!,2),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 4, 7: 4, 8: 7, 9: 7, 10: 8, 11: 8, 12: 10, 13: 10, 14: 11, 15: 11, 16: 15, 17: 15, 18: 16, 19: 16, 20: 18, ? Goodbye! Errors/timing (if any): Timing: real 0m0.024s user 0m0.006s sys 0m0.008s '72.30.2' ************** PARI ***************** Host 72.30.226.160 (72.30.226.160) Time: Sun Aug 20 15:36:49 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.009s '68.40.2' ************** PARI ***************** Host 68.40.228.245 (68.40.228.245) Time: Sun Aug 20 15:10:29 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.008s '72.30.2' ************** PARI ***************** Host 72.30.226.223 (72.30.226.223) Time: Sun Aug 20 15:08:25 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.021s user 0m0.005s sys 0m0.011s '72.30.9' ************** PARI ***************** Host 72.30.98.35 (72.30.98.35) Time: Sun Aug 20 11:29:05 2006 Input: for(b=1,100, for(a=1,b, if( frac((a^2+b^2+1)/(a*b))==0 , print(a,",",b), ) ) ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1,1 1,2 2,5 5,13 13,34 34,89 ? Goodbye! Errors/timing (if any): Timing: real 0m0.355s user 0m0.024s sys 0m0.011s '86.194.' ************** PARI ***************** Host 86.194.40.94 (86.194.40.94) Time: Sun Aug 20 00:09:14 2006 Input: 45! Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 119622220865480194561963161495657715064383733760000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.079s user 0m0.007s sys 0m0.008s '207.111' ************** PARI ***************** Host 207.111.73.50 (207.111.73.50) Time: Sat Aug 19 23:34:00 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.073s user 0m0.011s sys 0m0.005s '69.154.' ************** PARI ***************** Host 69.154.191.237 (69.154.191.237) Time: Sat Aug 19 22:11:45 2006 Input: 15+5[5+3(8/4+2)] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ']' instead of: 15+5[5+3(8/4+2)] ^-------- Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '83.129.' ************** PARI ***************** Host 83.129.176.28 (83.129.176.28) Time: Sat Aug 19 08:02:43 2006 Input: nfroots(x*x*x+4*x*x-35,) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): *** unexpected character: nfroots(x*x*x+4*x*x-35,) ^- Timing: real 0m0.048s user 0m0.005s sys 0m0.009s '83.129.' ************** PARI ***************** Host 83.129.176.28 (83.129.176.28) Time: Sat Aug 19 08:02:24 2006 Input: nfroots(x*x*x+4*x*x-35) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: nfroots(x*x*x+4*x*x-35) ^- Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '83.129.' ************** PARI ***************** Host 83.129.176.28 (83.129.176.28) Time: Sat Aug 19 08:02:06 2006 Input: nfroots(x*x*x+4*x*x-35); Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: nfroots(x*x*x+4*x*x-35); ^-- Timing: real 0m0.071s user 0m0.007s sys 0m0.008s '130.161' ************** PARI ***************** Host 130.161.135.32 (130.161.135.32) Time: Sat Aug 19 05:54:03 2006 Input: sin(3.1415) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 0.000092653589660671440566174108604596853276 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '130.161' ************** PARI ***************** Host 130.161.135.32 (130.161.135.32) Time: Sat Aug 19 05:53:50 2006 Input: tan(3.1415) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = -0.000092653590058372507822043460533803485629 ? Goodbye! Errors/timing (if any): Timing: real 0m0.059s user 0m0.005s sys 0m0.010s '72.30.1' ************** PARI ***************** Host 72.30.107.151 (72.30.107.151) Time: Sat Aug 19 00:52:33 2006 Input: vector(20,x,floor((x+1)*sqrt(2))-floor(x*sqrt(2))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.074s user 0m0.007s sys 0m0.008s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Fri Aug 18 23:36:56 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.008s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:39:59 2006 Input: [0,1,1;1,1,0;1,0,1]^4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [6 5 5] [5 6 5] [5 5 6] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:39:05 2006 Input: [0,1,1;1,1,0;1,0,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 3 3] [3 3 2] [3 2 3] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:38:00 2006 Input: [0,1,1;1,1,0;1,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 1 1] [1 2 1] [1 1 2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:37:51 2006 Input: [0,1,1;1,1,0;1,0,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 1] [1 1 0] [1 0 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:37:00 2006 Input: [1,0,1;1,1,0;0,1,1]^6 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [22 21 21] [21 22 21] [21 21 22] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:35:42 2006 Input: [1,0,1;1,1,0;0,1,1]^5 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [11 11 10] [10 11 11] [11 10 11] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:35:28 2006 Input: [1,0,1;1,1,0;0,1,1]^4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [5 6 5] [5 5 6] [6 5 5] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:35:18 2006 Input: [1,0,1;1,1,0;0,1,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 3 3] [3 2 3] [3 3 2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:34:53 2006 Input: [1,0,1;1,1,0;0,1,1]^4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [5 6 5] [5 5 6] [6 5 5] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:34:20 2006 Input: [1,0,1;1,1,0;0,1,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 3 3] [3 2 3] [3 3 2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.009s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:33:48 2006 Input: [1,0,1;1,1,0;0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 2] [2 1 1] [1 2 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.005s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:33:03 2006 Input: [1,0,1;1,1,0;0,1,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 1] [1 1 0] [0 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:32:46 2006 Input: [1,0,1;1,1,0;0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 2] [2 1 1] [1 2 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.004s sys 0m0.011s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:31:56 2006 Input: [1,0,0;0,1,0;0,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 0] [0 1 0] [0 0 1] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:31:39 2006 Input: [1,0,0;0,1,0;0,0,1]^m Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** gpow: 0 to a forbidden power. Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:31:27 2006 Input: [1,0,0;0,1,0;0,0,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 0] [0 1 0] [0 0 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.003s sys 0m0.011s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Fri Aug 18 20:31:13 2006 Input: [1,0,0;0,1,0;0,0,1]^m Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** gpow: 0 to a forbidden power. Timing: real 0m0.014s user 0m0.006s sys 0m0.009s '72.30.9' ************** PARI ***************** Host 72.30.98.26 (72.30.98.26) Time: Fri Aug 18 19:37:26 2006 Input: factor(2^(2^5)+1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [641 1] [6700417 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '72.30.1' ************** PARI ***************** Host 72.30.131.199 (72.30.131.199) Time: Fri Aug 18 18:24:00 2006 Input: {ss(n)=sum(x=1,n,n/gcd(n,x))} ss(60) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = 1617 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.009s '72.30.9' ************** PARI ***************** Host 72.30.99.77 (72.30.99.77) Time: Fri Aug 18 17:10:16 2006 Input: factor(x^6-1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [x - 1 1] [x + 1 1] [x^2 - x + 1 1] [x^2 + x + 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.091s user 0m0.007s sys 0m0.008s '70.126.' ************** PARI ***************** Host 70.126.58.233 (70.126.58.233) Time: Fri Aug 18 16:39:16 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '70.229.' ************** PARI ***************** Host 70.229.26.148 (70.229.26.148) Time: Fri Aug 18 15:50:18 2006 Input: 1.609344 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 1.6093440000000000000000000000000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '69.213.' ************** PARI ***************** Host 69.213.205.32 (69.213.205.32) Time: Fri Aug 18 14:48:29 2006 Input: 21.60/5% Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. '66.91.5' ************** PARI ***************** Host 66.91.53.79 (66.91.53.79) Time: Fri Aug 18 14:24:32 2006 Input: 820.26-11.33 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 808.93000000000000000000000000000000000 ? Goodbye! Errors/timing (if any): Timing: real 0m0.365s user 0m0.006s sys 0m0.011s '65.54.1' ************** PARI ***************** Host 65.54.188.53 (65.54.188.53) Time: Fri Aug 18 04:40:39 2006 Input: {ss(n)=sum(x=1,n,n/gcd(n,x))} ss(60) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = 1617 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '72.30.9' ************** PARI ***************** Host 72.30.97.221 (72.30.97.221) Time: Fri Aug 18 02:29:18 2006 Input: for(n=1,20, print1(n,": ",valuation(n!,2),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 4, 7: 4, 8: 7, 9: 7, 10: 8, 11: 8, 12: 10, 13: 10, 14: 11, 15: 11, 16: 15, 17: 15, 18: 16, 19: 16, 20: 18, ? Goodbye! Errors/timing (if any): Timing: real 0m0.069s user 0m0.008s sys 0m0.007s '72.30.1' ************** PARI ***************** Host 72.30.102.206 (72.30.102.206) Time: Thu Aug 17 23:13:49 2006 Input: vector(20,x,floor((x+1)*sqrt(2))-floor(x*sqrt(2))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.064s user 0m0.009s sys 0m0.007s '66.249.' ************** PARI ***************** Host 66.249.65.113 (66.249.65.113) Time: Thu Aug 17 21:31:47 2006 Input: {ss(n)=sum(x=1,n,n/gcd(n,x))} ss(60) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = 1617 ? Goodbye! Errors/timing (if any): Timing: real 0m0.107s user 0m0.005s sys 0m0.011s '71.93.1' ************** PARI ***************** Host 71.93.172.203 (71.93.172.203) Time: Thu Aug 17 18:47:00 2006 Input: 6<2x<8 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x<8. *** incorrect type in comparison. Timing: real 0m0.014s user 0m0.007s sys 0m0.006s '66.68.1' ************** PARI ***************** Host 66.68.12.46 (66.68.12.46) Time: Thu Aug 17 18:30:19 2006 Input: 3+5 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 8 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '71.154.' ************** PARI ***************** Host 71.154.245.24 (71.154.245.24) Time: Thu Aug 17 17:28:25 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.019s user 0m0.005s sys 0m0.009s '24.116.' ************** PARI ***************** Host 24.116.250.166 (24.116.250.166) Time: Thu Aug 17 16:54:11 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.003s sys 0m0.011s '24.116.' ************** PARI ***************** Host 24.116.250.166 (24.116.250.166) Time: Thu Aug 17 16:54:10 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '83.92.5' ************** PARI ***************** Host 83.92.51.114 (83.92.51.114) Time: Thu Aug 17 16:22:55 2006 Input: print kash(256^512) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** unknown function or error in formal parameters: printkash(256^512) ^------------------ Timing: real 0m0.033s user 0m0.009s sys 0m0.005s '70.180.' ************** PARI ***************** Host 70.180.62.77 (70.180.62.77) Time: Thu Aug 17 15:26:46 2006 Input: 2.5(x-3)+17x=10.8(x+15) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 25.800000000000000000000000000000000000 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: (x-3)+17x=10.8(x+15). Timing: real 0m0.014s user 0m0.008s sys 0m0.007s '85.182.' ************** PARI ***************** Host 85.182.66.38 (85.182.66.38) Time: Thu Aug 17 11:32:28 2006 Input: print(gap('LatticeSubgroups(SymmetricGroup(4));') Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: ...int(gap('LatticeSubgroups *** (SymmetricGroup(4)); ^-------------------- Timing: real 0m0.015s user 0m0.007s sys 0m0.007s '85.182.' ************** PARI ***************** Host 85.182.66.38 (85.182.66.38) Time: Thu Aug 17 11:31:40 2006 Input: print(gap('SubgroupsSolvableGroup(S4)') Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: ...p('SubgroupsSolvableGroup(S4)') ^------ Timing: real 0m0.014s user 0m0.005s sys 0m0.008s '85.182.' ************** PARI ***************** Host 85.182.66.38 (85.182.66.38) Time: Thu Aug 17 11:31:24 2006 Input: print(gap('SubgroupsSolvableGroup(SymmetricGroup(4))') Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: ...p('SubgroupsSolvableGroup *** (SymmetricGroup(4))' ^-------------------- Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '69.236.' ************** PARI ***************** Host 69.236.179.102 (69.236.179.102) Time: Thu Aug 17 11:29:45 2006 Input: 4x^3+8x^2>0 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x^3+8x^2>0. *** incorrect type in comparison. Timing: real 0m0.299s user 0m0.005s sys 0m0.011s '72.30.2' ************** PARI ***************** Host 72.30.226.160 (72.30.226.160) Time: Thu Aug 17 06:27:31 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '75.4.16' ************** PARI ***************** Host 75.4.167.188 (75.4.167.188) Time: Thu Aug 17 02:10:42 2006 Input: 5%/1,897 Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. '75.4.16' ************** PARI ***************** Host 75.4.167.188 (75.4.167.188) Time: Thu Aug 17 02:10:16 2006 Input: 5% of 1,897 Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. '218.45.' ************** PARI ***************** Host 218.45.172.241 (218.45.172.241) Time: Thu Aug 17 01:48:07 2006 Input: (1.01)^35 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 1.4166027560312678260004629407847590686 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.008s '218.45.' ************** PARI ***************** Host 218.45.172.241 (218.45.172.241) Time: Thu Aug 17 01:47:58 2006 Input: (1.1)^35 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 28.102436848064247850612139033534048511 ? Goodbye! Errors/timing (if any): Timing: real 0m0.065s user 0m0.008s sys 0m0.007s '72.30.2' ************** PARI ***************** Host 72.30.226.223 (72.30.226.223) Time: Thu Aug 17 01:43:14 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.067s user 0m0.008s sys 0m0.006s '219.95.' ************** PARI ***************** Host 219.95.235.147 (219.95.235.147) Time: Thu Aug 17 01:24:56 2006 Input: for( k=1, 12, print(k,": ",Mod(2^k,13)) ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: Mod(2, 13) 2: Mod(4, 13) 3: Mod(8, 13) 4: Mod(3, 13) 5: Mod(6, 13) 6: Mod(12, 13) 7: Mod(11, 13) 8: Mod(9, 13) 9: Mod(5, 13) 10: Mod(10, 13) 11: Mod(7, 13) 12: Mod(1, 13) ? Goodbye! Errors/timing (if any): Timing: real 0m0.057s user 0m0.008s sys 0m0.008s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Wed Aug 16 22:59:55 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.109s user 0m0.009s sys 0m0.005s '59.140.' ************** PARI ***************** Host 59.140.3.12 (59.140.3.12) Time: Wed Aug 16 20:51:28 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.027s user 0m0.005s sys 0m0.009s '213.114' ************** PARI ***************** Host 213.114.87.142 (213.114.87.142) Time: Wed Aug 16 15:41:29 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.545s user 0m0.007s sys 0m0.009s '65.188.' ************** PARI ***************** Host 65.188.208.165 (65.188.208.165) Time: Wed Aug 16 05:03:46 2006 Input: factor(2^(2^5)+1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [641 1] [6700417 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '72.30.1' ************** PARI ***************** Host 72.30.103.19 (72.30.103.19) Time: Wed Aug 16 01:34:00 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.005s '71.141.' ************** PARI ***************** Host 71.141.253.153 (71.141.253.153) Time: Tue Aug 15 23:42:30 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Tue Aug 15 22:13:02 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.008s sys 0m0.007s '24.64.2' ************** PARI ***************** Host 24.64.223.203 (24.64.223.203) Time: Tue Aug 15 17:22:28 2006 Input: factor(597543644043339483) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 1] [7 1] [1019 1] [1736939 1] [16076503 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.115s user 0m0.007s sys 0m0.008s '24.64.2' ************** PARI ***************** Host 24.64.223.203 (24.64.223.203) Time: Tue Aug 15 17:18:59 2006 Input: 52 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 52 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '24.64.2' ************** PARI ***************** Host 24.64.223.203 (24.64.223.203) Time: Tue Aug 15 17:18:42 2006 Input: 57 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 57 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '72.128.' ************** PARI ***************** Host 72.128.44.217 (72.128.44.217) Time: Tue Aug 15 16:24:48 2006 Input: (1/3)(9)³= Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** Warning: unused characters: (9)===. *** unexpected character: (1/3)(9)=== ^- Timing: real 0m0.014s user 0m0.004s sys 0m0.010s '72.128.' ************** PARI ***************** Host 72.128.44.217 (72.128.44.217) Time: Tue Aug 15 16:24:13 2006 Input: (1/3)(9)³= Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** Warning: unused characters: (9)===. *** unexpected character: (1/3)(9)=== ^- Timing: real 0m0.028s user 0m0.007s sys 0m0.008s '70.247.' ************** PARI ***************** Host 70.247.113.187 (70.247.113.187) Time: Tue Aug 15 15:15:36 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.005s sys 0m0.010s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 11:55:56 2006 Input: Mod(7,30)^(7^7^7) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = Mod(13, 30) ? Goodbye! Errors/timing (if any): *** Warning: multiword exponent in Fl_pow. Timing: real 0m0.268s user 0m0.215s sys 0m0.013s '72.30.1' ************** PARI ***************** Host 72.30.129.138 (72.30.129.138) Time: Tue Aug 15 11:21:13 2006 Input: for( k=1, 12, print(k,": ",Mod(2^k,13)) ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: Mod(2, 13) 2: Mod(4, 13) 3: Mod(8, 13) 4: Mod(3, 13) 5: Mod(6, 13) 6: Mod(12, 13) 7: Mod(11, 13) 8: Mod(9, 13) 9: Mod(5, 13) 10: Mod(10, 13) 11: Mod(7, 13) 12: Mod(1, 13) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 11:19:38 2006 Input: Mod(3,1000)^(83) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = Mod(227, 1000) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 11:12:55 2006 Input: Mod(3,400)^(2003) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = Mod(27, 400) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 10:55:13 2006 Input: Mod(3,400)^(83) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = Mod(27, 400) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.008s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 10:28:54 2006 Input: 3^83 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 3990838394187339929534246675572349035227 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 10:28:33 2006 Input: 3^20 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 3486784401 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 10:19:00 2006 Input: 3^83 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 3990838394187339929534246675572349035227 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 10:18:46 2006 Input: 3^400 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 10:13:15 2006 Input: Mod(3,1000)^(2003^2003) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = Mod(987, 1000) ? Goodbye! Errors/timing (if any): *** Warning: multiword exponent in Fl_pow. Timing: real 0m0.016s user 0m0.008s sys 0m0.009s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:48:20 2006 Input: Mod(3,100)^(2003^2003) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = Mod(87, 100) ? Goodbye! Errors/timing (if any): *** Warning: multiword exponent in Fl_pow. Timing: real 0m0.049s user 0m0.008s sys 0m0.009s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:45:41 2006 Input: 3^(2003^2003) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** length (lg) overflow Timing: real 0m0.015s user 0m0.005s sys 0m0.010s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:45:01 2006 Input: 3^2003 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 47192523796511593460819314717445835404284687160750089980920976318888529188136438210870134686346389999041441668795922467896826947768638733482889183456528239010568634262429383843301299968914654135021616852400619449604094035791513517490976267110993951445870348070649724838442950877697281464105603387943746139280208780890973452976589061955333899720134617153262713286486800459846999808593157946089834398450393914138264834193475885957005425265572728480321922372718342943042880916739731170887479399462363014861982530234203725804474544039577325916627591757941754987079099118539866954821154972250974284998342253129564298697533991303605099243743998763493165069920824491545486353467536460616499651953399236100304728302468297087043095519255193036095675710613231999201256180837163220902716746235182201529062324435884453986670695008281249641444785221286768136955402601273270121405513124724415388652516643729635832196015310268380966177525262817036149775193114460981880027 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.007s sys 0m0.009s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:44:39 2006 Input: 2003^2003 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 1849019260402709591286946172272940395303112445168867902383112555669571680764331263129330914652274495344312361794223854136737235628975718111135048790603351966051089751801492286418588902467028553504583229077928836304421158684528741674751413584648058844055647193516177071717162896188397649366593550136210318645392352569990645096972351505408767255782003625775433472017371179730547137478287893507333560277638389093691937015829221890068050469248634486703551127690968842230454015685132969837483003553059495828232089447828335373623978090541832251404561839854204124893294475642540010052397603804262506936563543122526936967047474058883448638286320846501903634081589405217621172604680678266257943264554652140453584775304923366347265361889863651409967357350610120370545343116444163083489140070777265080161473074590584338930415700500346333630578065794337339456800772435468402349571596298898714975383243864935535636134581337583186012822632640943109188841366090566003571671616355255066629545340775357546670343012710596231482375467743311249226696302796942829058327257509806942696109036650762242172624273154718478553514815075003175820338775199237589617467645726633551827062674809808821496907148128685454048876323643882165409382905436659884016880864706115534311275854858879482590439605638014513404114965161328132476890310946700527095556057226375889945939398114414530519086388011842145370813116466116933677781283418754185176308541744851367722022538010448557111987710967293795913750778380493693364942128158609647913299867196028991715761098664736737689726033022049768616498578659743306410989634574595752793197774095598026370816536578149768457163093990891659686173217641139200667442352618661018059985367747557369405138674119976901185838232734027098311705631317918930369382581576149049468721347552491182500222194663605206043936720336781866516862682519809693874713689647661086241945324543523536693944148087374805375384267176609436513867966084736897671968946642626981894686304621598541991524231414384141282558288006355975293005476137974561143445115105779797830936073546368454667098115241359316617104258762436468188728754333143356008113347748174553932050079642183234048683147769732123261465567836710684328110031873160964530586628853340849483016910719803320336003623157812793587485942907628960069171712069941546144521254605696368192772610846565381585445513891947386210269254508355475189422639476055636015982352067475607003031996183489799837437930982672410956753059148884164506367316219442600996483386809306833003557091114903316063583559200044640197860848036956391379905814413562503411001844090155223225441144384859621030897061479811658231861008612105849597548707170382390239878149382462392451454760982084364281414125014558498298153586644143512342948560725715692468080071277962250555090930040064361149899149864222030853686276876495951900958363725547749789103291905846544642388789885806597704471784458460481220648107198384132908599908344227320292109752815908406413867624583806294047610747554301474744086100782707611290662006703157494157162044337566623400061356300491066346464547827504101349366387203053910739342132649163101380906928003626736950801017814100310095468922280959188145785275380839397906917702194975501151197[+++] ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.005s sys 0m0.013s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:44:14 2006 Input: 3^20 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 3486784401 ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.007s sys 0m0.008s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:42:08 2006 Input: 3^1024 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 373391848741020043532959754184866588225409776783734007750636931722079040617265251229993688938803977220468765065431475158108727054592160858581351336982809187314191748594262580938807019951956404285571818041046681288797402925517668012340617298396574731619152386723046235125934896058590588284654793540505936202376547807442730582144527058988756251452817793413352141920744623027518729185432862375737063985485319476416926263819972887006907013899256524297198527698749274196276811060702333710356481 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.007s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:35:44 2006 Input: 2003^2003 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 1849019260402709591286946172272940395303112445168867902383112555669571680764331263129330914652274495344312361794223854136737235628975718111135048790603351966051089751801492286418588902467028553504583229077928836304421158684528741674751413584648058844055647193516177071717162896188397649366593550136210318645392352569990645096972351505408767255782003625775433472017371179730547137478287893507333560277638389093691937015829221890068050469248634486703551127690968842230454015685132969837483003553059495828232089447828335373623978090541832251404561839854204124893294475642540010052397603804262506936563543122526936967047474058883448638286320846501903634081589405217621172604680678266257943264554652140453584775304923366347265361889863651409967357350610120370545343116444163083489140070777265080161473074590584338930415700500346333630578065794337339456800772435468402349571596298898714975383243864935535636134581337583186012822632640943109188841366090566003571671616355255066629545340775357546670343012710596231482375467743311249226696302796942829058327257509806942696109036650762242172624273154718478553514815075003175820338775199237589617467645726633551827062674809808821496907148128685454048876323643882165409382905436659884016880864706115534311275854858879482590439605638014513404114965161328132476890310946700527095556057226375889945939398114414530519086388011842145370813116466116933677781283418754185176308541744851367722022538010448557111987710967293795913750778380493693364942128158609647913299867196028991715761098664736737689726033022049768616498578659743306410989634574595752793197774095598026370816536578149768457163093990891659686173217641139200667442352618661018059985367747557369405138674119976901185838232734027098311705631317918930369382581576149049468721347552491182500222194663605206043936720336781866516862682519809693874713689647661086241945324543523536693944148087374805375384267176609436513867966084736897671968946642626981894686304621598541991524231414384141282558288006355975293005476137974561143445115105779797830936073546368454667098115241359316617104258762436468188728754333143356008113347748174553932050079642183234048683147769732123261465567836710684328110031873160964530586628853340849483016910719803320336003623157812793587485942907628960069171712069941546144521254605696368192772610846565381585445513891947386210269254508355475189422639476055636015982352067475607003031996183489799837437930982672410956753059148884164506367316219442600996483386809306833003557091114903316063583559200044640197860848036956391379905814413562503411001844090155223225441144384859621030897061479811658231861008612105849597548707170382390239878149382462392451454760982084364281414125014558498298153586644143512342948560725715692468080071277962250555090930040064361149899149864222030853686276876495951900958363725547749789103291905846544642388789885806597704471784458460481220648107198384132908599908344227320292109752815908406413867624583806294047610747554301474744086100782707611290662006703157494157162044337566623400061356300491066346464547827504101349366387203053910739342132649163101380906928003626736950801017814100310095468922280959188145785275380839397906917702194975501151197[+++] ? Goodbye! Errors/timing (if any): Timing: real 0m0.017s user 0m0.008s sys 0m0.010s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:35:30 2006 Input: 3^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 27 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '84.107.' ************** PARI ***************** Host 84.107.150.174 (84.107.150.174) Time: Tue Aug 15 09:29:37 2006 Input: 2003^2003 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 1849019260402709591286946172272940395303112445168867902383112555669571680764331263129330914652274495344312361794223854136737235628975718111135048790603351966051089751801492286418588902467028553504583229077928836304421158684528741674751413584648058844055647193516177071717162896188397649366593550136210318645392352569990645096972351505408767255782003625775433472017371179730547137478287893507333560277638389093691937015829221890068050469248634486703551127690968842230454015685132969837483003553059495828232089447828335373623978090541832251404561839854204124893294475642540010052397603804262506936563543122526936967047474058883448638286320846501903634081589405217621172604680678266257943264554652140453584775304923366347265361889863651409967357350610120370545343116444163083489140070777265080161473074590584338930415700500346333630578065794337339456800772435468402349571596298898714975383243864935535636134581337583186012822632640943109188841366090566003571671616355255066629545340775357546670343012710596231482375467743311249226696302796942829058327257509806942696109036650762242172624273154718478553514815075003175820338775199237589617467645726633551827062674809808821496907148128685454048876323643882165409382905436659884016880864706115534311275854858879482590439605638014513404114965161328132476890310946700527095556057226375889945939398114414530519086388011842145370813116466116933677781283418754185176308541744851367722022538010448557111987710967293795913750778380493693364942128158609647913299867196028991715761098664736737689726033022049768616498578659743306410989634574595752793197774095598026370816536578149768457163093990891659686173217641139200667442352618661018059985367747557369405138674119976901185838232734027098311705631317918930369382581576149049468721347552491182500222194663605206043936720336781866516862682519809693874713689647661086241945324543523536693944148087374805375384267176609436513867966084736897671968946642626981894686304621598541991524231414384141282558288006355975293005476137974561143445115105779797830936073546368454667098115241359316617104258762436468188728754333143356008113347748174553932050079642183234048683147769732123261465567836710684328110031873160964530586628853340849483016910719803320336003623157812793587485942907628960069171712069941546144521254605696368192772610846565381585445513891947386210269254508355475189422639476055636015982352067475607003031996183489799837437930982672410956753059148884164506367316219442600996483386809306833003557091114903316063583559200044640197860848036956391379905814413562503411001844090155223225441144384859621030897061479811658231861008612105849597548707170382390239878149382462392451454760982084364281414125014558498298153586644143512342948560725715692468080071277962250555090930040064361149899149864222030853686276876495951900958363725547749789103291905846544642388789885806597704471784458460481220648107198384132908599908344227320292109752815908406413867624583806294047610747554301474744086100782707611290662006703157494157162044337566623400061356300491066346464547827504101349366387203053910739342132649163101380906928003626736950801017814100310095468922280959188145785275380839397906917702194975501151197[+++] ? Goodbye! Errors/timing (if any): Timing: real 0m0.084s user 0m0.010s sys 0m0.010s '72.30.1' ************** PARI ***************** Host 72.30.110.15 (72.30.110.15) Time: Tue Aug 15 08:13:30 2006 Input: for(x=1,50,print1("d(",x,")=",numdiv(x),", ")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? d(1)=1, d(2)=2, d(3)=2, d(4)=3, d(5)=2, d(6)=4, d(7)=2, d(8)=4, d(9)=3, d(10)=4, d(11)=2, d(12)=6, d(13)=2, d(14)=4, d(15)=4, d(16)=5, d(17)=2, d(18)=6, d(19)=2, d(20)=6, d(21)=4, d(22)=4, d(23)=2, d(24)=8, d(25)=3, d(26)=4, d(27)=4, d(28)=6, d(29)=2, d(30)=8, d(31)=2, d(32)=6, d(33)=4, d(34)=4, d(35)=4, d(36)=9, d(37)=2, d(38)=4, d(39)=4, d(40)=8, d(41)=2, d(42)=8, d(43)=2, d(44)=6, d(45)=6, d(46)=4, d(47)=2, d(48)=10, d(49)=3, d(50)=6, ? Goodbye! Errors/timing (if any): Timing: real 0m0.255s user 0m0.009s sys 0m0.008s '72.30.2' ************** PARI ***************** Host 72.30.226.160 (72.30.226.160) Time: Tue Aug 15 03:09:45 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.009s '72.30.2' ************** PARI ***************** Host 72.30.226.223 (72.30.226.223) Time: Tue Aug 15 02:42:02 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.021s user 0m0.006s sys 0m0.010s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 23:56:53 2006 Input: [1,0,1,0;0,1,0,1;1,1,0,0;0,0,1,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 2 2 1] [1 2 2 3] [2 2 2 2] [2 2 2 2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 23:56:45 2006 Input: [1,0,1,0;0,1,0,1;1,1,0,0;0,0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 1 1 0] [0 1 1 2] [1 1 1 1] [1 1 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 23:56:30 2006 Input: [1,0,1,0;0,1,0,1;1,1,0,0;0,0,1,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 1 0] [0 1 0 1] [1 1 0 0] [0 0 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 23:55:38 2006 Input: [1,1,1,0;0,1,1,1;1,1,0,1;1,0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 3 2 2] [2 2 2 3] [2 2 3 2] [3 2 2 2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 23:55:18 2006 Input: [1,1,1,0;0,1,1,1;1,1,0,1;1,0,1,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 1 0] [0 1 1 1] [1 1 0 1] [1 0 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.008s '203.5.3' ************** PARI ***************** Host 203.5.3.200 (203.5.3.200) Time: Mon Aug 14 23:04:49 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:47:40 2006 Input: [0,1,0;1,0,0;0,0,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 0] [1 0 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:46:31 2006 Input: [0,1,0;1,0,0;0,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 0] [0 1 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:46:18 2006 Input: [0,1,0;1,0,0;0,0,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 0] [1 0 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:46:02 2006 Input: [0,1,0;1,0,0;0,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 0] [0 1 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:42:57 2006 Input: [0,1,0;1,0,0;0,0,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 0] [1 0 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:42:46 2006 Input: [0,1,0;1,0,0;0,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 0] [0 1 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.004s sys 0m0.011s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:42:37 2006 Input: [0,1,0;1,0,0;0,0,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 0] [1 0 0] [0 0 1] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.007s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:41:36 2006 Input: [1,1,0;1,0,1;0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 1 1] [1 2 1] [1 1 2] ? ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:41:00 2006 Input: [1,1,0;1,0,1;0,1,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 0] [1 0 1] [0 1 1] ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:33:08 2006 Input: [0,1,1;1,0,1;1,1,0]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 1 1] [1 2 1] [1 1 2] ? ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:32:53 2006 Input: [0,1,1;1,0,1;1,1,0] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 1] [1 0 1] [1 1 0] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:32:38 2006 Input: [0,1,;1,0,1;1,1,0] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): *** unexpected character: [0,1,;1,0,1;1,1,0] ^------------- Timing: real 0m0.014s user 0m0.009s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:30:21 2006 Input: [1,1,0;0,1,1;1,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 2 1] [1 1 2] [2 1 1] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Mon Aug 14 22:30:09 2006 Input: [1,1,0;0,1,1;1,0,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 0] [0 1 1] [1 0 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.009s '72.30.1' ************** PARI ***************** Host 72.30.111.28 (72.30.111.28) Time: Mon Aug 14 22:18:27 2006 Input: for( k=1, 12, print(k,": ",Mod(2^k,13)) ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: Mod(2, 13) 2: Mod(4, 13) 3: Mod(8, 13) 4: Mod(3, 13) 5: Mod(6, 13) 6: Mod(12, 13) 7: Mod(11, 13) 8: Mod(9, 13) 9: Mod(5, 13) 10: Mod(10, 13) 11: Mod(7, 13) 12: Mod(1, 13) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Mon Aug 14 20:42:02 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '203.57.' ************** PARI ***************** Host 203.57.240.95 (203.57.240.95) Time: Mon Aug 14 20:11:05 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.007s '72.30.1' ************** PARI ***************** Host 72.30.107.8 (72.30.107.8) Time: Mon Aug 14 19:27:20 2006 Input: for(b=1,100, for(a=1,b, if( frac((a^2+b^2)/(a*b))==0 , print(a,",",b), ) ) ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1,1 2,2 3,3 4,4 5,5 6,6 7,7 8,8 9,9 10,10 11,11 12,12 13,13 14,14 15,15 16,16 17,17 18,18 19,19 20,20 21,21 22,22 23,23 24,24 25,25 26,26 27,27 28,28 29,29 30,30 31,31 32,32 33,33 34,34 35,35 36,36 37,37 38,38 39,39 40,40 41,41 42,42 43,43 44,44 45,45 46,46 47,47 48,48 49,49 50,50 51,51 52,52 53,53 54,54 55,55 56,56 57,57 58,58 59,59 60,60 61,61 62,62 63,63 64,64 65,65 66,66 67,67 68,68 69,69 70,70 71,71 72,72 73,73 74,74 75,75 76,76 77,77 78,78 79,79 80,80 81,81 82,82 83,83 84,84 85,85 86,86 87,87 88,88 89,89 90,90 91,91 92,92 93,93 94,94 95,95 96,96 97,97 98,98 99,99 100,100 ? Goodbye! Errors/timing (if any): Timing: real 0m0.078s user 0m0.027s sys 0m0.006s '69.230.' ************** PARI ***************** Host 69.230.18.219 (69.230.18.219) Time: Mon Aug 14 19:02:14 2006 Input: (4-3)(x+1) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x + 1 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: (x+1). Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '69.208.' ************** PARI ***************** Host 69.208.186.15 (69.208.186.15) Time: Mon Aug 14 18:56:45 2006 Input: 9.72+14.88+10.88+10.88+14.88+10.88 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 72.119999999999999999999999999999999999 ? Goodbye! Errors/timing (if any): Timing: real 0m0.056s user 0m0.005s sys 0m0.009s '208.19.' ************** PARI ***************** Host 208.19.62.11 (208.19.62.11) Time: Mon Aug 14 16:27:35 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.009s '80.55.1' ************** PARI ***************** Host 80.55.14.2 (80.55.14.2) Time: Mon Aug 14 15:30:17 2006 Input: a(n)=2*n-n^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.007s '80.55.1' ************** PARI ***************** Host 80.55.14.2 (80.55.14.2) Time: Mon Aug 14 15:30:02 2006 Input: a(n)=2*n-n%2 Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. '80.55.1' ************** PARI ***************** Host 80.55.14.2 (80.55.14.2) Time: Mon Aug 14 15:17:49 2006 Input: print kash('NumberField(X^3 + 15*X^2 - 15*X + 15)') Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: printkash('NumberField *** (X^3+15*X^2-15*X+15) ^-------------------- Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '80.55.1' ************** PARI ***************** Host 80.55.14.2 (80.55.14.2) Time: Mon Aug 14 15:09:10 2006 Input: f=x^5-x^4-x^3-x^2-x-1; Galois(f); Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? Goodbye! Errors/timing (if any): *** expected character: '=' instead of: Galois(f); ^- Timing: real 0m0.068s user 0m0.010s sys 0m0.005s '80.55.1' ************** PARI ***************** Host 80.55.14.2 (80.55.14.2) Time: Mon Aug 14 15:07:33 2006 Input: Zx:=PolynomialRing(Integers()); f:=x^5-x^4-x^3-x^2-x-1; G:=GaloisGroup(f); a,b:=TransitiveGroupIdentification(G); "Number of group is", a; TransitiveGroupDescription(a,b); Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? ? ? ? ? ? Goodbye! Errors/timing (if any): *** unexpected character: Zx:=PolynomialRing(Int ^-------------------- *** Warning: unused characters: :=x^5-x^4-x^3-x^2-x-1;. *** unexpected character: f:=x^5-x^4-x^3-x^2-x- ^-------------------- *** Warning: unused characters: :=GaloisGroup(f);. *** unexpected character: G:=GaloisGroup(f); ^----------------- *** Warning: unused characters: ,b:=TransitiveGroupIdentification(G);. *** Warning: unused characters: ,a;. *** expected character: '=' instead of: ...tiveGroupDescription(a,b); ^- Timing: real 0m0.284s user 0m0.006s sys 0m0.010s '72.30.1' ************** PARI ***************** Host 72.30.132.102 (72.30.132.102) Time: Mon Aug 14 02:33:30 2006 Input: for( k=1, 12, print(k,": ",Mod(2^k,13)) ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: Mod(2, 13) 2: Mod(4, 13) 3: Mod(8, 13) 4: Mod(3, 13) 5: Mod(6, 13) 6: Mod(12, 13) 7: Mod(11, 13) 8: Mod(9, 13) 9: Mod(5, 13) 10: Mod(10, 13) 11: Mod(7, 13) 12: Mod(1, 13) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '71.105.' ************** PARI ***************** Host 71.105.149.13 (71.105.149.13) Time: Sun Aug 13 22:07:23 2006 Input: x+7=15 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** unexpected character: x+7=15 ^--- Timing: real 0m0.015s user 0m0.007s sys 0m0.009s '72.30.1' ************** PARI ***************** Host 72.30.129.123 (72.30.129.123) Time: Sun Aug 13 20:32:01 2006 Input: collatzlength(x0)= { local(x,i); x=x0; i=0; while(x-1, x=if(Mod(x,2)==Mod(0,2), x/2, (3*x+1)/2);i=i++ ); i } collatzlength(299) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = 75 ? Goodbye! Errors/timing (if any): Timing: real 0m0.072s user 0m0.007s sys 0m0.008s '68.47.1' ************** PARI ***************** Host 68.47.182.155 (68.47.182.155) Time: Sun Aug 13 14:59:35 2006 Input: print kash('NumberField(X^3 + 15*X^2 - 15*X + 15)') Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? Goodbye! Errors/timing (if any): *** expected character: ',' instead of: printkash('NumberField *** (X^3+15*X^2-15*X+15) ^-------------------- Timing: real 0m0.021s user 0m0.007s sys 0m0.009s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:08:46 2006 Input: [0,1,1,1;1,0,1,1;1,1,0,1;1,1,1,0]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 2 2 2] [2 3 2 2] [2 2 3 2] [2 2 2 3] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:08:36 2006 Input: [0,1,1,1;1,0,1,1;1,1,0,1;1,1,1,0] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 1 1] [1 0 1 1] [1 1 0 1] [1 1 1 0] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:07:58 2006 Input: [1,1,0,0;1,1,0,0;0,0,1,1;0,0,1,1]^12 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2048 2048 0 0] [2048 2048 0 0] [0 0 2048 2048] [0 0 2048 2048] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:07:04 2006 Input: [1,1,0,0;1,1,0,0;0,0,1,1;0,0,1,1]^4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [8 8 0 0] [8 8 0 0] [0 0 8 8] [0 0 8 8] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:06:59 2006 Input: [1,1,0,0;1,1,0,0;0,0,1,1;0,0,1,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [4 4 0 0] [4 4 0 0] [0 0 4 4] [0 0 4 4] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.010s sys 0m0.005s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:06:52 2006 Input: [1,1,0,0;1,1,0,0;0,0,1,1;0,0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 2 0 0] [2 2 0 0] [0 0 2 2] [0 0 2 2] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.009s sys 0m0.005s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:06:43 2006 Input: [1,1,0,0;1,1,0,0;0,0,1,1;0,0,1,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 0 0] [1 1 0 0] [0 0 1 1] [0 0 1 1] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:06:02 2006 Input: [0,1,0,1;0,0,1,1;1,1,0,0;1,0,1,0]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 3 1 1] [1 3 1 3] [3 1 3 1] [1 1 3 3] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:05:49 2006 Input: [0,1,0,1;0,0,1,1;1,1,0,0;1,0,1,0]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 3 1 1] [1 3 1 3] [3 1 3 1] [1 1 3 3] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.008s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:05:42 2006 Input: [0,1,0,1;0,0,1,1;1,1,0,0;1,0,1,0]^4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 4 4 6] [4 2 6 4] [4 6 2 4] [6 4 4 2] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.006s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:05:35 2006 Input: [0,1,0,1;0,0,1,1;1,1,0,0;1,0,1,0]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 3 1 1] [1 3 1 3] [3 1 3 1] [1 1 3 3] ? ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.006s sys 0m0.009s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:05:24 2006 Input: [0,1,0,1;0,0,1,1;1,1,0,0;1,0,1,0]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 2 1] [2 1 1 0] [0 1 1 2] [1 2 0 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:05:11 2006 Input: [0,1,0,1;0,0,1,1;1,1,0,0;1,0,1,0] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1 0 1] [0 0 1 1] [1 1 0 0] [1 0 1 0] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:04:27 2006 Input: [1,0,0,1;1,1,0,0;0,1,1,0;0,0,1,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 1 3 3] [3 1 1 3] [3 3 1 1] [1 3 3 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:04:22 2006 Input: [1,0,0,1;1,1,0,0;0,1,1,0;0,0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 1 2] [2 1 0 1] [1 2 1 0] [0 1 2 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 14:04:11 2006 Input: [1,0,0,1;1,1,0,0;0,1,1,0;0,0,1,1] Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 0 0 1] [1 1 0 0] [0 1 1 0] [0 0 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 13:58:40 2006 Input: [0,1,1,1;1,0,1,1;1,1,1,0;1,1,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 2 2 2] [2 3 2 2] [2 2 3 2] [2 2 2 3] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 13:58:40 2006 Input: [0,1,1,1;1,0,1,1;1,1,1,0;1,1,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [3 2 2 2] [2 3 2 2] [2 2 3 2] [2 2 2 3] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.005s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 13:53:53 2006 Input: [0,1,1,0;1,1,0,0;1,0,0,1;0,0,1,1]^3 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 3 3 1] [3 3 1 1] [3 1 1 3] [1 1 3 3] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '169.231' ************** PARI ***************** Host 169.231.33.177 (169.231.33.177) Time: Sun Aug 13 13:53:14 2006 Input: [0,1,1,0;1,1,0,0;1,0,0,1;0,0,1,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 1 0 1] [1 2 1 0] [0 1 2 1] [1 0 1 2] ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.009s '67.10.1' ************** PARI ***************** Host 67.10.132.208 (67.10.132.208) Time: Sun Aug 13 13:52:08 2006 Input: 2^85 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 38685626227668133590597632 ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.007s '68.199.' ************** PARI ***************** Host 68.199.60.254 (68.199.60.254) Time: Sun Aug 13 13:36:13 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.007s sys 0m0.008s '194.165' ************** PARI ***************** Host 194.165.182.38 (194.165.182.38) Time: Sun Aug 13 13:17:25 2006 Input: 47/3000.001 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 0.015666661444446185184604938465020511660 ? Goodbye! Errors/timing (if any): Timing: real 0m0.052s user 0m0.005s sys 0m0.009s '72.30.1' ************** PARI ***************** Host 72.30.111.93 (72.30.111.93) Time: Sun Aug 13 12:26:48 2006 Input: {ss(n)=sum(x=1,n,n/gcd(n,x))} ss(60) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = 1617 ? Goodbye! Errors/timing (if any): Timing: real 0m0.080s user 0m0.008s sys 0m0.008s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Sun Aug 13 10:46:05 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.266s user 0m0.007s sys 0m0.010s '193.171' ************** PARI ***************** Host 193.171.131.247 (193.171.131.247) Time: Sat Aug 12 04:07:02 2006 Input: 1/2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = 1/2 ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.008s sys 0m0.006s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Sat Aug 12 00:17:00 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.006s sys 0m0.007s '72.30.2' ************** PARI ***************** Host 72.30.226.223 (72.30.226.223) Time: Fri Aug 11 17:41:28 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.115s user 0m0.006s sys 0m0.009s '220.239' ************** PARI ***************** Host 220.239.147.13 (220.239.147.13) Time: Fri Aug 11 03:04:58 2006 Input: "Replace this by some code, then click [SAGE] or [PARI]!" Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = "Replace this by some code, then click [SAGE] or [PARI]!" ? Goodbye! Errors/timing (if any): Timing: real 0m0.015s user 0m0.006s sys 0m0.006s '220.239' ************** PARI ***************** Host 220.239.147.13 (220.239.147.13) Time: Fri Aug 11 03:02:22 2006 Input: collatz(x0,n)= { local(x,i,ans); x=x0; ans=[x]; for(i=1,n, x=if(Mod(x,2)==Mod(0,2), x/2, (3*x+1)/2); ans =concat(ans,x) ); ans } collatz(19,16) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? ? %1 = [19, 29, 44, 22, 11, 17, 26, 13, 20, 10, 5, 8, 4, 2, 1, 2, 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.089s user 0m0.005s sys 0m0.007s '169.231' ************** PARI ***************** Host 169.231.35.225 (169.231.35.225) Time: Fri Aug 11 01:28:29 2006 Input: [1,1,0;0,1,1;1,0,1]^2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1 2 1] [1 1 2] [2 1 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.069s user 0m0.006s sys 0m0.009s '66.249.' ************** PARI ***************** Host 66.249.66.144 (66.249.66.144) Time: Thu Aug 10 21:18:19 2006 Input: vector(20,x,floor((x+1)*sqrt(2))-floor(x*sqrt(2))) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1] ? Goodbye! Errors/timing (if any): Timing: real 0m0.101s user 0m0.007s sys 0m0.008s '66.249.' ************** PARI ***************** Host 66.249.66.144 (66.249.66.144) Time: Thu Aug 10 19:43:53 2006 Input: for(n=1,7, print1(n,": ",sum(x=1,n,1/x),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 1, 2: 3/2, 3: 11/6, 4: 25/12, 5: 137/60, 6: 49/20, 7: 363/140, ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.004s sys 0m0.009s '66.249.' ************** PARI ***************** Host 66.249.66.144 (66.249.66.144) Time: Thu Aug 10 19:43:51 2006 Input: for(x=1,50,print1("d(",x,")=",numdiv(x),", ")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? d(1)=1, d(2)=2, d(3)=2, d(4)=3, d(5)=2, d(6)=4, d(7)=2, d(8)=4, d(9)=3, d(10)=4, d(11)=2, d(12)=6, d(13)=2, d(14)=4, d(15)=4, d(16)=5, d(17)=2, d(18)=6, d(19)=2, d(20)=6, d(21)=4, d(22)=4, d(23)=2, d(24)=8, d(25)=3, d(26)=4, d(27)=4, d(28)=6, d(29)=2, d(30)=8, d(31)=2, d(32)=6, d(33)=4, d(34)=4, d(35)=4, d(36)=9, d(37)=2, d(38)=4, d(39)=4, d(40)=8, d(41)=2, d(42)=8, d(43)=2, d(44)=6, d(45)=6, d(46)=4, d(47)=2, d(48)=10, d(49)=3, d(50)=6, ? Goodbye! Errors/timing (if any): Timing: real 0m0.020s user 0m0.005s sys 0m0.011s '68.13.2' ************** PARI ***************** Host 68.13.201.86 (68.13.201.86) Time: Thu Aug 10 19:29:54 2006 Input: 3.35 x 10 - 3 + 4.5 x 10 - 4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x10 - 4 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x10-3+4.5x10-4. Timing: real 0m0.013s user 0m0.006s sys 0m0.008s '68.13.2' ************** PARI ***************** Host 68.13.201.86 (68.13.201.86) Time: Thu Aug 10 19:29:30 2006 Input: 3.35x10-3 + 4.5x10-4 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x10 - 4 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x10-3+4.5x10-4. Timing: real 0m0.216s user 0m0.004s sys 0m0.010s '66.249.' ************** PARI ***************** Host 66.249.72.66 (66.249.72.66) Time: Thu Aug 10 17:59:00 2006 Input: for(n=1,20, print1(n,": ",valuation(n!,2),", ") ) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 4, 7: 4, 8: 7, 9: 7, 10: 8, 11: 8, 12: 10, 13: 10, 14: 11, 15: 11, 16: 15, 17: 15, 18: 16, 19: 16, 20: 18, ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.005s sys 0m0.010s '68.207.' ************** PARI ***************** Host 68.207.106.75 (68.207.106.75) Time: Thu Aug 10 16:06:26 2006 Input: 3x5-2x3+5x2-2x+7, if x=-2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x + 7 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x5-2x3+5x2-2x+7,ifx=-2. Timing: real 0m0.014s user 0m0.005s sys 0m0.007s '68.207.' ************** PARI ***************** Host 68.207.106.75 (68.207.106.75) Time: Thu Aug 10 16:06:09 2006 Input: 3x5-2x3+5x2-2x+7, if x=-2 Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = x + 7 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: x5-2x3+5x2-2x+7,ifx=-2. Timing: real 0m0.068s user 0m0.007s sys 0m0.006s '72.30.1' ************** PARI ***************** Host 72.30.129.106 (72.30.129.106) Time: Thu Aug 10 13:08:03 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.072s user 0m0.008s sys 0m0.007s '60.49.1' ************** PARI ***************** Host 60.49.128.6 (60.49.128.6) Time: Thu Aug 10 13:07:03 2006 Input: 328310094-10% Output: WARNING: PARI command contains unsafe command '%', so it will not be executed. '199.9.6' ************** PARI ***************** Host 199.9.64.2 (199.9.64.2) Time: Thu Aug 10 09:24:43 2006 Input: (-1/2)(-6/7) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = -6/7 ? Goodbye! Errors/timing (if any): *** Warning: unused characters: (-6/7). Timing: real 0m0.283s user 0m0.005s sys 0m0.008s '72.30.2' ************** PARI ***************** Host 72.30.252.149 (72.30.252.149) Time: Thu Aug 10 05:41:19 2006 Input: y=210; for(x=1,8,y=sumdiv(y,x,x)-y;print1(y,",")) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? 366,378,582,594,846,1026,1374,1386, ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.007s sys 0m0.006s '193.171' ************** PARI ***************** Host 193.171.131.248 (193.171.131.248) Time: Thu Aug 10 05:03:02 2006 Input: matrix(3,4,X,Y,-X+Y^20) a = exp(x) a Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 1048575 3486784400 1099511627775] [-1 1048574 3486784399 1099511627774] [-2 1048573 3486784398 1099511627773] ? %2 = 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 + 1/20922789888000*x^16 + O(x^17) ? %3 = 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 + 1/20922789888000*x^16 + O(x^17) ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.008s sys 0m0.005s '193.171' ************** PARI ***************** Host 193.171.131.248 (193.171.131.248) Time: Thu Aug 10 04:58:32 2006 Input: matrix(3,4,X,Y,X-Y^20) a = exp(x) a Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 -1048575 -3486784400 -1099511627775] [1 -1048574 -3486784399 -1099511627774] [2 -1048573 -3486784398 -1099511627773] ? %2 = 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 + 1/20922789888000*x^16 + O(x^17) ? %3 = 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 + 1/20922789888000*x^16 + O(x^17) ? Goodbye! Errors/timing (if any): Timing: real 0m0.014s user 0m0.008s sys 0m0.007s '193.171' ************** PARI ***************** Host 193.171.131.248 (193.171.131.248) Time: Thu Aug 10 04:58:15 2006 Input: matrix(3,4,X,Y,X-Y^3) a = exp(x) a Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [0 -7 -26 -63] [1 -6 -25 -62] [2 -5 -24 -61] ? %2 = 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 + 1/20922789888000*x^16 + O(x^17) ? %3 = 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 + 1/20922789888000*x^16 + O(x^17) ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.007s sys 0m0.006s '193.171' ************** PARI ***************** Host 193.171.131.248 (193.171.131.248) Time: Thu Aug 10 04:57:04 2006 Input: matrix(3,4,X,Y,X+Y) a = exp(x) a Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 3 4 5] [3 4 5 6] [4 5 6 7] ? %2 = 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 + 1/20922789888000*x^16 + O(x^17) ? %3 = 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 + 1/20922789888000*x^16 + O(x^17) ? Goodbye! Errors/timing (if any): Timing: real 0m0.013s user 0m0.006s sys 0m0.007s '193.171' ************** PARI ***************** Host 193.171.131.248 (193.171.131.248) Time: Thu Aug 10 04:56:55 2006 Input: matrix(3,4,X,Y,X+Y) a = exp(x) Output: GP/PARI CALCULATOR Version 2.2.11 (development CHANGES-1.1327) parisize = 256000000, primelimit = 500000 ? %1 = [2 3 4 5] [3 4 5 6] [4 5 6 7] ? %2 = 1 + x + 1/2*x^2 + 1/6*x^3 + 1/24*x^4 + 1/120*x^5 + 1/720*