Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 2985307474] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0591 geometric_solution 4.60667762 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 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 0.569052905840 0.337478841322 3 2 2 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -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 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 0.699941115642 0.771004526013 1 3 0 1 1230 3201 0132 1302 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 1 0 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 0.699941115642 0.771004526013 1 4 2 4 0132 0132 2310 1023 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 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.823280164165 1.124787911811 5 3 5 3 0132 0132 1023 1023 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727269476154 0.349997996000 4 6 4 6 0132 0132 1023 1023 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 0.810990808910 0.106251114648 6 5 6 5 2310 0132 3201 1023 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 0.852680808734 0.058149031740 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], '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_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 34806022647709/3126699638560*c_0101_6^12 - 269718880262891/3126699638560*c_0101_6^11 + 25930792439114/97709363705*c_0101_6^10 + 493410032920727/390837454820*c_0101_6^9 - 8634745078929951/3126699638560*c_0101_6^8 - 4932063207100173/1563349819280*c_0101_6^7 + 3133436564403867/390837454820*c_0101_6^6 - 1093369284923929/1563349819280*c_0101_6^5 - 1328749025831487/390837454820*c_0101_6^4 - 752695601892311/3126699638560*c_0101_6^3 + 2104622666505759/3126699638560*c_0101_6^2 + 58916393775741/390837454820*c_0101_6 - 222182159085961/3126699638560, c_0011_0 - 1, c_0011_1 + 6161038229/78167490964*c_0101_2*c_0101_6^12 + 54987751877/78167490964*c_0101_2*c_0101_6^11 - 39773530419/39083745482*c_0101_2*c_0101_6^10 - 386174990931/39083745482*c_0101_2*c_0101_6^9 + 551848383017/78167490964*c_0101_2*c_0101_6^8 + 1063594581725/39083745482*c_0101_2*c_0101_6^7 - 601964703875/39083745482*c_0101_2*c_0101_6^6 - 348874814595/39083745482*c_0101_2*c_0101_6^5 - 449272902693/39083745482*c_0101_2*c_0101_6^4 + 435093774439/78167490964*c_0101_2*c_0101_6^3 + 379296436285/78167490964*c_0101_2*c_0101_6^2 + 6606380839/39083745482*c_0101_2*c_0101_6 - 28560646019/78167490964*c_0101_2, c_0101_1 + 10958257016/19541872741*c_0101_6^12 + 108909818978/19541872741*c_0101_6^11 - 41127074924/19541872741*c_0101_6^10 - 1501561057353/19541872741*c_0101_6^9 - 378359177785/19541872741*c_0101_6^8 + 4636064629650/19541872741*c_0101_6^7 + 1178154299026/19541872741*c_0101_6^6 - 3513968779081/19541872741*c_0101_6^5 - 1383011320954/19541872741*c_0101_6^4 + 382113823179/19541872741*c_0101_6^3 + 234532828294/19541872741*c_0101_6^2 - 25750756613/19541872741*c_0101_6 - 21518205150/19541872741, c_0101_2^2 - 10958257016/19541872741*c_0101_6^12 - 108909818978/19541872741*c_0101_6^11 + 41127074924/19541872741*c_0101_6^10 + 1501561057353/19541872741*c_0101_6^9 + 378359177785/19541872741*c_0101_6^8 - 4636064629650/19541872741*c_0101_6^7 - 1178154299026/19541872741*c_0101_6^6 + 3513968779081/19541872741*c_0101_6^5 + 1383011320954/19541872741*c_0101_6^4 - 382113823179/19541872741*c_0101_6^3 - 234532828294/19541872741*c_0101_6^2 + 25750756613/19541872741*c_0101_6 + 1976332409/19541872741, c_0101_4 + 74652223751/78167490964*c_0101_6^12 + 693350837035/78167490964*c_0101_6^11 - 182596269433/19541872741*c_0101_6^10 - 2437572514628/19541872741*c_0101_6^9 + 3698512025049/78167490964*c_0101_6^8 + 7271999227608/19541872741*c_0101_6^7 - 5012864628409/39083745482*c_0101_6^6 - 4294702602863/19541872741*c_0101_6^5 - 400372909743/39083745482*c_0101_6^4 + 3386744825163/78167490964*c_0101_6^3 + 600227627351/78167490964*c_0101_6^2 - 112881377523/39083745482*c_0101_6 - 63278612187/78167490964, c_0101_5 + 7297463031/78167490964*c_0101_6^12 + 50989629419/78167490964*c_0101_6^11 - 57150316722/19541872741*c_0101_6^10 - 200265560930/19541872741*c_0101_6^9 + 2563541222609/78167490964*c_0101_6^8 + 542692542728/19541872741*c_0101_6^7 - 3781472822139/39083745482*c_0101_6^6 + 48199139254/19541872741*c_0101_6^5 + 2012949458375/39083745482*c_0101_6^4 + 586298221767/78167490964*c_0101_6^3 - 859456883185/78167490964*c_0101_6^2 - 64456550233/39083745482*c_0101_6 + 52595475389/78167490964, c_0101_6^13 + 10*c_0101_6^12 - 3*c_0101_6^11 - 136*c_0101_6^10 - 45*c_0101_6^9 + 403*c_0101_6^8 + 150*c_0101_6^7 - 262*c_0101_6^6 - 194*c_0101_6^5 + 3*c_0101_6^4 + 38*c_0101_6^3 + 7*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB