Magma V2.19-8 Tue Aug 20 2013 23:53:33 on localhost [Seed = 2160520062] Type ? for help. Type -D to quit. Loading file "L13n6573__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6573 geometric_solution 10.84801330 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554948106307 0.674048457190 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 1 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 2 -2 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842146634742 0.651879511278 3 0 9 8 1023 0132 0132 0132 0 0 1 1 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 1 0 -1 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196084507940 1.423954557368 10 2 7 0 0132 1023 3012 0132 0 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 -1 0 1 2 0 -2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416411084892 0.271391618561 11 5 0 6 0132 0213 0132 0213 0 0 0 1 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 -1 2 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 0.720373964968 0.839866797585 10 1 4 8 1023 0132 0213 2031 0 0 1 1 0 0 -1 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 0 1 -1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985302396431 1.284560307662 10 9 1 4 2103 0132 0132 0213 0 0 0 1 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 0 0 0 0 2 -2 -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 0.766569965560 0.713525759449 11 3 9 1 3120 1230 3120 0132 0 0 1 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 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 0.581956087920 0.497815401976 10 5 2 11 3012 1302 0132 0132 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083541527092 0.584087759783 11 6 7 2 1023 0132 3120 0132 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 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 0.083541527092 0.584087759783 3 5 6 8 0132 1023 2103 1230 0 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 0 0 0 -2 0 1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027949301332 0.929406940200 4 9 8 7 0132 1023 0132 3120 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 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 0.861443400445 0.972351697034 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_0_11' : 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_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_9'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_11, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0101_9, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 27405991559394088933/511700842617790912*c_1001_7^9 - 50343265552194352007/511700842617790912*c_1001_7^8 + 4169405311403308944327/511700842617790912*c_1001_7^7 - 14215040927848771775149/511700842617790912*c_1001_7^6 + 16394004962986719726553/511700842617790912*c_1001_7^5 + 4771923977728004053661/511700842617790912*c_1001_7^4 - 4512503758019043187571/511700842617790912*c_1001_7^3 - 3059593685182947998307/511700842617790912*c_1001_7^2 + 1757464955934734546685/255850421308895456*c_1001_7 - 3386075334559802294967/511700842617790912, c_0011_0 - 1, c_0011_11 + 1628986910385/170113312040489*c_1001_7^9 + 2980133845792/170113312040489*c_1001_7^8 - 248276646261494/170113312040489*c_1001_7^7 + 847467672868292/170113312040489*c_1001_7^6 - 913398539659679/170113312040489*c_1001_7^5 - 722230529320168/170113312040489*c_1001_7^4 + 1364116742543873/170113312040489*c_1001_7^3 - 959993954295592/170113312040489*c_1001_7^2 + 161485680883888/170113312040489*c_1001_7 + 95903909969271/170113312040489, c_0011_7 - 2698433483022/170113312040489*c_1001_7^9 - 2994432139193/170113312040489*c_1001_7^8 + 412645357494264/170113312040489*c_1001_7^7 - 1700600995537564/170113312040489*c_1001_7^6 + 2858363674869892/170113312040489*c_1001_7^5 - 1525015190837490/170113312040489*c_1001_7^4 + 295475477267609/170113312040489*c_1001_7^3 + 295029798643364/170113312040489*c_1001_7^2 - 413361600459352/170113312040489*c_1001_7 - 41485920913277/170113312040489, c_0011_8 + 8958055324707/170113312040489*c_1001_7^9 + 9672677839644/170113312040489*c_1001_7^8 - 1370534694948098/170113312040489*c_1001_7^7 + 5685726060316833/170113312040489*c_1001_7^6 - 9602696403896756/170113312040489*c_1001_7^5 + 5166327902347570/170113312040489*c_1001_7^4 - 880424194519803/170113312040489*c_1001_7^3 - 511308200385698/170113312040489*c_1001_7^2 + 576994410442406/170113312040489*c_1001_7 - 48359679994103/170113312040489, c_0101_0 - 1, c_0101_1 - 14230966614324/170113312040489*c_1001_7^9 - 13695975839609/170113312040489*c_1001_7^8 + 2177208719354091/170113312040489*c_1001_7^7 - 9290812630058294/170113312040489*c_1001_7^6 + 16598604519554430/170113312040489*c_1001_7^5 - 11053309020869663/170113312040489*c_1001_7^4 + 3816149795836056/170113312040489*c_1001_7^3 + 413231616962699/170113312040489*c_1001_7^2 - 862335939849121/170113312040489*c_1001_7 - 37934511779297/170113312040489, c_0101_11 - 2607573725182/170113312040489*c_1001_7^9 - 3980181874768/170113312040489*c_1001_7^8 + 397016482577978/170113312040489*c_1001_7^7 - 1477728595659404/170113312040489*c_1001_7^6 + 2157541567688996/170113312040489*c_1001_7^5 - 662706326387225/170113312040489*c_1001_7^4 + 366856283615365/170113312040489*c_1001_7^3 - 331059219499313/170113312040489*c_1001_7^2 + 113977333016982/170113312040489*c_1001_7 - 22839100674554/170113312040489, c_0101_7 + 4748893397304/170113312040489*c_1001_7^9 + 4228469827546/170113312040489*c_1001_7^8 - 728521506016184/170113312040489*c_1001_7^7 + 3149998495053905/170113312040489*c_1001_7^6 - 5508774908667394/170113312040489*c_1001_7^5 + 3178773268968500/170113312040489*c_1001_7^4 - 479309805314606/170113312040489*c_1001_7^3 - 210892940964206/170113312040489*c_1001_7^2 + 228010003189288/170113312040489*c_1001_7 - 9494211628898/170113312040489, c_0101_8 + 4456755128925/170113312040489*c_1001_7^9 + 2935774335073/170113312040489*c_1001_7^8 - 683564396845856/170113312040489*c_1001_7^7 + 3116042378410855/170113312040489*c_1001_7^6 - 6018839744089652/170113312040489*c_1001_7^5 + 4802244535804169/170113312040489*c_1001_7^4 - 1800399332928597/170113312040489*c_1001_7^3 - 37587639926306/170113312040489*c_1001_7^2 + 475869778214416/170113312040489*c_1001_7 - 52099213217671/170113312040489, c_0101_9 - 3662722004418/170113312040489*c_1001_7^9 - 4723567494077/170113312040489*c_1001_7^8 + 558217872751111/170113312040489*c_1001_7^7 - 2208871870926622/170113312040489*c_1001_7^6 + 3642271881556473/170113312040489*c_1001_7^5 - 2083811960500656/170113312040489*c_1001_7^4 + 1047862137857148/170113312040489*c_1001_7^3 - 139072307991521/170113312040489*c_1001_7^2 - 109484521506864/170113312040489*c_1001_7 - 24977993819828/170113312040489, c_1001_2 + 4193852391341/170113312040489*c_1001_7^9 + 5672124940967/170113312040489*c_1001_7^8 - 641266744534435/170113312040489*c_1001_7^7 + 2484927071506284/170113312040489*c_1001_7^6 - 3639868988433670/170113312040489*c_1001_7^5 + 796709745060494/170113312040489*c_1001_7^4 + 727547803902716/170113312040489*c_1001_7^3 - 361884127903476/170113312040489*c_1001_7^2 + 275614849813283/170113312040489*c_1001_7 + 101441795603293/170113312040489, c_1001_7^10 + c_1001_7^9 - 153*c_1001_7^8 + 647*c_1001_7^7 - 1135*c_1001_7^6 + 713*c_1001_7^5 - 223*c_1001_7^4 - 15*c_1001_7^3 + 56*c_1001_7^2 - c_1001_7 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB