Magma V2.19-8 Tue Aug 20 2013 23:56:55 on localhost [Seed = 324369389] Type ? for help. Type -D to quit. Loading file "L14n25102__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25102 geometric_solution 11.51834015 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661191239438 0.546533990672 0 4 0 5 0132 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790428859277 0.498636854156 6 0 7 3 0132 0132 0132 1230 1 0 1 1 0 0 0 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656417358977 0.869151501071 2 8 0 9 3012 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 0 -1 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443010849538 0.961935647707 7 1 10 5 1023 0132 0132 1230 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037861865194 0.751316322117 4 8 1 6 3012 1302 0132 2031 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534950421440 0.513038864834 2 5 9 11 0132 1302 1302 0132 1 0 1 1 0 0 0 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728276497726 0.878556473168 8 4 11 2 2310 1023 0132 0132 1 0 1 1 0 0 0 0 1 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452970942661 0.631341680453 10 3 7 5 1023 0132 3201 2031 1 1 1 0 0 0 -1 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477413688672 0.509187546378 6 10 3 11 2031 1023 0132 0321 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740170525582 1.094436876761 9 8 11 4 1023 1023 3201 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540196767916 0.955151888458 10 9 6 7 2310 0321 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362519996895 1.048793758513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0110_8'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0110_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : d['c_0101_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_9, c_0110_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5884665024956186791/74771586629299248*c_1001_11^13 + 5315474904116682803/74771586629299248*c_1001_11^12 + 81544977111342373387/74771586629299248*c_1001_11^11 + 15516398603931420947/74771586629299248*c_1001_11^10 + 170627528700432404009/24923862209766416*c_1001_11^9 - 2654925943912662335/958610084991016*c_1001_11^8 + 219146140060671419633/12461931104883208*c_1001_11^7 - 125407252619519737445/18692896657324812*c_1001_11^6 + 509149626312966915565/74771586629299248*c_1001_11^5 + 8779110046864257741/1557741388110401*c_1001_11^4 - 70798322601696395469/24923862209766416*c_1001_11^3 + 1361631506563714877/859443524474704*c_1001_11^2 + 147319220809162314833/74771586629299248*c_1001_11 + 14513740093870481221/37385793314649624, c_0011_0 - 1, c_0011_10 - 561187762/42984873*c_1001_11^13 - 869885353/85969746*c_1001_11^12 - 15501259079/85969746*c_1001_11^11 - 497139602/42984873*c_1001_11^10 - 10924826383/9552194*c_1001_11^9 + 5819251335/9552194*c_1001_11^8 - 29209296747/9552194*c_1001_11^7 + 67145345684/42984873*c_1001_11^6 - 130479754445/85969746*c_1001_11^5 - 8348093008/14328291*c_1001_11^4 + 5711088005/14328291*c_1001_11^3 - 94750741/329386*c_1001_11^2 - 23952316729/85969746*c_1001_11 - 2133806636/42984873, c_0011_11 + 144434554/42984873*c_1001_11^13 + 63552809/42984873*c_1001_11^12 + 1976984779/42984873*c_1001_11^11 - 533214007/42984873*c_1001_11^10 + 1430919129/4776097*c_1001_11^9 - 1230054631/4776097*c_1001_11^8 + 4204713854/4776097*c_1001_11^7 - 30239805311/42984873*c_1001_11^6 + 27795289969/42984873*c_1001_11^5 - 1192140385/14328291*c_1001_11^4 - 896490655/14328291*c_1001_11^3 + 47010398/494079*c_1001_11^2 + 1603995377/42984873*c_1001_11 + 118309526/42984873, c_0011_5 - 958765901/85969746*c_1001_11^13 - 317915354/42984873*c_1001_11^12 - 6599527420/42984873*c_1001_11^11 + 307142467/42984873*c_1001_11^10 - 4691635893/4776097*c_1001_11^9 + 6032168289/9552194*c_1001_11^8 - 12953573943/4776097*c_1001_11^7 + 71487763928/42984873*c_1001_11^6 - 134832128843/85969746*c_1001_11^5 - 7272428749/28656582*c_1001_11^4 + 8808221537/28656582*c_1001_11^3 - 135991955/494079*c_1001_11^2 - 8583498149/42984873*c_1001_11 - 2593276981/85969746, c_0101_0 + 463000739/85969746*c_1001_11^13 + 156741902/42984873*c_1001_11^12 + 3189369451/42984873*c_1001_11^11 - 104181076/42984873*c_1001_11^10 + 2265620010/4776097*c_1001_11^9 - 2850801409/9552194*c_1001_11^8 + 6236533633/4776097*c_1001_11^7 - 33753978215/42984873*c_1001_11^6 + 64197210407/85969746*c_1001_11^5 + 1276898891/9552194*c_1001_11^4 - 1405886773/9552194*c_1001_11^3 + 64449838/494079*c_1001_11^2 + 4265817101/42984873*c_1001_11 + 1299912607/85969746, c_0101_1 - 245290573/42984873*c_1001_11^13 - 176851301/42984873*c_1001_11^12 - 3381406882/42984873*c_1001_11^11 - 36186665/42984873*c_1001_11^10 - 2392231527/4776097*c_1001_11^9 + 1402050510/4776097*c_1001_11^8 - 6490673279/4776097*c_1001_11^7 + 32728603334/42984873*c_1001_11^6 - 31078825210/42984873*c_1001_11^5 - 965309956/4776097*c_1001_11^4 + 831170282/4776097*c_1001_11^3 - 67261303/494079*c_1001_11^2 - 4781276114/42984873*c_1001_11 - 796449512/42984873, c_0101_10 - 517946507/85969746*c_1001_11^13 - 518369005/85969746*c_1001_11^12 - 7200110189/85969746*c_1001_11^11 - 1028344451/42984873*c_1001_11^10 - 4986082221/9552194*c_1001_11^9 + 763163343/4776097*c_1001_11^8 - 12433900743/9552194*c_1001_11^7 + 15522711959/42984873*c_1001_11^6 - 17204431831/42984873*c_1001_11^5 - 15479838613/28656582*c_1001_11^4 + 6575438783/28656582*c_1001_11^3 - 106599223/988158*c_1001_11^2 - 14402586067/85969746*c_1001_11 - 3037188523/85969746, c_0101_11 - 1, c_0101_4 + 82528576/42984873*c_1001_11^13 + 94578071/42984873*c_1001_11^12 + 1150470904/42984873*c_1001_11^11 + 490753175/42984873*c_1001_11^10 + 786451159/4776097*c_1001_11^9 - 123709142/4776097*c_1001_11^8 + 1859164443/4776097*c_1001_11^7 - 1651394330/42984873*c_1001_11^6 + 2461487881/42984873*c_1001_11^5 + 3376994899/14328291*c_1001_11^4 - 1261665125/14328291*c_1001_11^3 + 5008027/164693*c_1001_11^2 + 2632541906/42984873*c_1001_11 + 582630509/42984873, c_0101_9 + 36378937/85969746*c_1001_11^13 - 84892639/85969746*c_1001_11^12 + 229373333/42984873*c_1001_11^11 - 1512036679/85969746*c_1001_11^10 + 409713495/9552194*c_1001_11^9 - 1310200615/9552194*c_1001_11^8 + 984205202/4776097*c_1001_11^7 - 34380779909/85969746*c_1001_11^6 + 14678801177/42984873*c_1001_11^5 - 1178700606/4776097*c_1001_11^4 + 279485179/9552194*c_1001_11^3 + 33912211/988158*c_1001_11^2 - 1312887845/42984873*c_1001_11 - 442878236/42984873, c_0110_8 + 577297738/42984873*c_1001_11^13 + 411295409/42984873*c_1001_11^12 + 7958169133/42984873*c_1001_11^11 + 19016738/42984873*c_1001_11^10 + 5635403026/4776097*c_1001_11^9 - 3348879698/4776097*c_1001_11^8 + 15338635526/4776097*c_1001_11^7 - 78444285089/42984873*c_1001_11^6 + 74708142790/42984873*c_1001_11^5 + 6386051156/14328291*c_1001_11^4 - 5695600828/14328291*c_1001_11^3 + 157818071/494079*c_1001_11^2 + 11178912296/42984873*c_1001_11 + 1802146469/42984873, c_1001_11^14 + c_1001_11^13 + 14*c_1001_11^12 + 4*c_1001_11^11 + 88*c_1001_11^10 - 27*c_1001_11^9 + 225*c_1001_11^8 - 68*c_1001_11^7 + 93*c_1001_11^6 + 68*c_1001_11^5 - 18*c_1001_11^4 + 15*c_1001_11^3 + 26*c_1001_11^2 + 9*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.420 seconds, Total memory usage: 32.09MB