Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 2917937526] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1714 geometric_solution 5.42437828 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 1 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 0.393506472748 0.961820584155 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.031930092091 1.114960562035 1 3 0 4 1230 2310 0132 2310 0 0 0 0 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 0 -1 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 0 0 0 1.031930092091 1.114960562035 1 5 5 2 0132 0132 1023 3201 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 0 0 0 0.841059578471 0.394047555201 2 6 6 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118476963658 0.324430258930 5 3 3 5 3012 0132 1023 1230 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 0 0 0 1.491173883204 0.464992970356 4 4 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 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 1 0 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 1.854972191406 2.962132829764 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 457004019623822861882176/33186291390745431675543*c_0101_6^16 + 18788325780619959191292437/165931456953727158377715*c_0101_6^15 + 29838251331856395428557148/55310485651242386125905*c_0101_6^14 - 56518964004990297915228449/165931456953727158377715*c_0101_6^13 - 90599088547737354226400597/165931456953727158377715*c_0101_6^12 + 552838954946590619803078/55310485651242386125905*c_0101_6^11 - 304239899989368007326700907/165931456953727158377715*c_0101_6^10 + 46161697169524873549008359/55310485651242386125905*c_0101_6^9 - 49408295161791307356286067/33186291390745431675543*c_0101_6^8 + 243929148392706184972205371/55310485651242386125905*c_0101_6^7 - 19501285615888688565309104/55310485651242386125905*c_0101_6^6 + 140212727857212803096300032/165931456953727158377715*c_0101_6^5 - 5219614471210414334903681/3687365710082825741727*c_0101_6^4 + 42394508207509310367581626/165931456953727158377715*c_0101_6^3 - 22983964245131298482620157/165931456953727158377715*c_0101_6^2 + 16376119441202779959432701/165931456953727158377715*c_0101_6 - 10583386961620130498717653/165931456953727158377715, c_0011_0 - 1, c_0011_1 + 3212120693926335754/233377576587520616565*c_0101_6^16 - 6732476937903993080/46675515317504123313*c_0101_6^15 - 21851313271355909263/77792525529173538855*c_0101_6^14 + 356166638940939498787/233377576587520616565*c_0101_6^13 - 61029241041726648329/233377576587520616565*c_0101_6^12 - 13520047077694324276/15558505105834707771*c_0101_6^11 + 352892706537020705092/233377576587520616565*c_0101_6^10 - 436846802450175808906/77792525529173538855*c_0101_6^9 + 1001455180868215102916/233377576587520616565*c_0101_6^8 - 699310116755145961472/77792525529173538855*c_0101_6^7 + 891335497808573990899/77792525529173538855*c_0101_6^6 - 401651578158095088773/233377576587520616565*c_0101_6^5 + 135301411302099037778/25930841843057846285*c_0101_6^4 - 635399940737232767858/233377576587520616565*c_0101_6^3 - 89923647920980369129/46675515317504123313*c_0101_6^2 - 14205272196169070054/46675515317504123313*c_0101_6 - 97610188233384096193/233377576587520616565, c_0011_4 - 8880943673576437931/233377576587520616565*c_0101_6^16 + 11673313352630052706/46675515317504123313*c_0101_6^15 + 162231235914652630262/77792525529173538855*c_0101_6^14 + 204119969012211059092/233377576587520616565*c_0101_6^13 - 1435665754380790503404/233377576587520616565*c_0101_6^12 - 4769633190372992704/15558505105834707771*c_0101_6^11 - 265714119538407107408/233377576587520616565*c_0101_6^10 - 561374068976336271901/77792525529173538855*c_0101_6^9 + 2345375180408182404341/233377576587520616565*c_0101_6^8 + 92681104016767032748/77792525529173538855*c_0101_6^7 + 1840389150807163811749/77792525529173538855*c_0101_6^6 - 4900786570833536623628/233377576587520616565*c_0101_6^5 - 66749325093033459297/25930841843057846285*c_0101_6^4 - 445236452349384912083/233377576587520616565*c_0101_6^3 + 155288472181395777527/46675515317504123313*c_0101_6^2 + 80727727824970865125/46675515317504123313*c_0101_6 - 75831451402532201413/233377576587520616565, c_0101_0 - 126495287179733597122/233377576587520616565*c_0101_6^16 + 206489139008275029704/46675515317504123313*c_0101_6^15 + 1685643561928286721619/77792525529173538855*c_0101_6^14 - 3156389301373403160496/233377576587520616565*c_0101_6^13 - 6639429619100319840103/233377576587520616565*c_0101_6^12 + 73964687391709643578/15558505105834707771*c_0101_6^11 - 15658847084535387112666/233377576587520616565*c_0101_6^10 + 2005859023269159335563/77792525529173538855*c_0101_6^9 - 7699448026899513255368/233377576587520616565*c_0101_6^8 + 12094017260373138995261/77792525529173538855*c_0101_6^7 + 1318515870752317129658/77792525529173538855*c_0101_6^6 - 4837957825476657792781/233377576587520616565*c_0101_6^5 - 1013930640379894214959/25930841843057846285*c_0101_6^4 - 592554021333519219106/233377576587520616565*c_0101_6^3 + 199723022639425646566/46675515317504123313*c_0101_6^2 + 14004693811261103354/46675515317504123313*c_0101_6 - 181919963918905102556/233377576587520616565, c_0101_1 - 25645343353462913393/77792525529173538855*c_0101_6^16 + 45331170672105170515/15558505105834707771*c_0101_6^15 + 287974657558057890421/25930841843057846285*c_0101_6^14 - 1170043511339387964779/77792525529173538855*c_0101_6^13 - 138180258292719158582/77792525529173538855*c_0101_6^12 + 39028930788265734174/5186168368611569257*c_0101_6^11 - 4251607916537372981369/77792525529173538855*c_0101_6^10 + 1211690100688620232032/25930841843057846285*c_0101_6^9 - 4951779901501287002752/77792525529173538855*c_0101_6^8 + 3181965136277009130009/25930841843057846285*c_0101_6^7 - 1881250211629876758828/25930841843057846285*c_0101_6^6 + 4134976036090800377941/77792525529173538855*c_0101_6^5 - 362616725016198101003/25930841843057846285*c_0101_6^4 + 620067691262341186471/77792525529173538855*c_0101_6^3 - 147729024537386254168/15558505105834707771*c_0101_6^2 - 25133538256523216927/15558505105834707771*c_0101_6 + 57572433785730202871/77792525529173538855, c_0101_5 - 25247478501127611946/77792525529173538855*c_0101_6^16 + 44224038904193483972/15558505105834707771*c_0101_6^15 + 291686094209766712727/25930841843057846285*c_0101_6^14 - 1134455020000257671773/77792525529173538855*c_0101_6^13 - 528649809432869152384/77792525529173538855*c_0101_6^12 + 38339367826788445737/5186168368611569257*c_0101_6^11 - 3694267153458254646883/77792525529173538855*c_0101_6^10 + 1107151616868660669614/25930841843057846285*c_0101_6^9 - 3765591680907479455919/77792525529173538855*c_0101_6^8 + 3090543171215413473513/25930841843057846285*c_0101_6^7 - 1539776022614818146481/25930841843057846285*c_0101_6^6 + 2216323402865431555727/77792525529173538855*c_0101_6^5 - 725640096138128924351/25930841843057846285*c_0101_6^4 + 841806815161705613852/77792525529173538855*c_0101_6^3 - 109576813741812416279/15558505105834707771*c_0101_6^2 + 3611805210887762615/15558505105834707771*c_0101_6 - 5786869163576699678/77792525529173538855, c_0101_6^17 - 8*c_0101_6^16 - 41*c_0101_6^15 + 16*c_0101_6^14 + 45*c_0101_6^13 + 8*c_0101_6^12 + 133*c_0101_6^11 - 31*c_0101_6^10 + 95*c_0101_6^9 - 296*c_0101_6^8 - 45*c_0101_6^7 - 56*c_0101_6^6 + 89*c_0101_6^5 + 4*c_0101_6^4 + 6*c_0101_6^3 - 5*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB