Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 3347471105] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0278 geometric_solution 4.32285476 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 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 0.392531872046 0.558035676883 0 4 4 0 0132 0132 3201 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 -0.481545896363 0.328293132251 3 5 5 0 1302 0132 3201 0132 0 0 0 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 0 0 0 0 -1 0 1 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 0.697512409528 0.219658953997 6 2 0 6 0132 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 1 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 0.697512409528 0.219658953997 1 1 4 4 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.192562491503 1.021377990661 2 2 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123410063020 0.837260101332 3 3 5 5 0132 2310 2031 1302 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 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123410063020 0.837260101332 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 7421226562021/27904077234*c_0101_6^12 + 1929245422982/1550226513*c_0101_6^11 - 131543548860572/41856115851*c_0101_6^10 + 411111179874233/83712231702*c_0101_6^9 - 32325145674089/3100453026*c_0101_6^8 + 126425194132045/13952038617*c_0101_6^7 - 623309411465933/83712231702*c_0101_6^6 - 92150343591565/27904077234*c_0101_6^5 - 131641848496811/83712231702*c_0101_6^4 - 49216237172713/27904077234*c_0101_6^3 + 26139570749393/13952038617*c_0101_6^2 + 8817606211972/13952038617*c_0101_6 - 23449090803173/83712231702, c_0011_0 - 1, c_0011_2 - 168568195/1268367147*c_0101_6^12 + 109122199/140929683*c_0101_6^11 - 8428558147/3805101441*c_0101_6^10 + 15205960745/3805101441*c_0101_6^9 - 3174629942/422789049*c_0101_6^8 + 12697466693/1268367147*c_0101_6^7 - 28418759186/3805101441*c_0101_6^6 + 3666045827/1268367147*c_0101_6^5 + 2079498886/3805101441*c_0101_6^4 + 4389507173/1268367147*c_0101_6^3 + 3949398937/1268367147*c_0101_6^2 + 1037542757/1268367147*c_0101_6 - 1838797136/3805101441, c_0101_0 - 1886171909/1268367147*c_0101_6^12 + 2776090393/422789049*c_0101_6^11 - 60327492995/3805101441*c_0101_6^10 + 88676798800/3805101441*c_0101_6^9 - 22054150978/422789049*c_0101_6^8 + 46664996233/1268367147*c_0101_6^7 - 121220071771/3805101441*c_0101_6^6 - 3942425957/140929683*c_0101_6^5 - 59264197339/3805101441*c_0101_6^4 - 20095841737/1268367147*c_0101_6^3 + 8149029805/1268367147*c_0101_6^2 + 6014110868/1268367147*c_0101_6 - 3541119070/3805101441, c_0101_1 + 881850004/1268367147*c_0101_6^12 - 1414789001/422789049*c_0101_6^11 + 33154234903/3805101441*c_0101_6^10 - 54212580389/3805101441*c_0101_6^9 + 12587032420/422789049*c_0101_6^8 - 36271535642/1268367147*c_0101_6^7 + 95750328899/3805101441*c_0101_6^6 + 1527487952/422789049*c_0101_6^5 + 16340248469/3805101441*c_0101_6^4 + 6551125721/1268367147*c_0101_6^3 - 7680950570/1268367147*c_0101_6^2 + 89105504/1268367147*c_0101_6 + 3300345794/3805101441, c_0101_4 - 65443937/140929683*c_0101_6^12 + 737309174/422789049*c_0101_6^11 - 1522975834/422789049*c_0101_6^10 + 5150666900/1268367147*c_0101_6^9 - 4921939153/422789049*c_0101_6^8 + 438137659/422789049*c_0101_6^7 - 132801941/46976561*c_0101_6^6 - 18169009514/1268367147*c_0101_6^5 - 13585413289/1268367147*c_0101_6^4 - 9533021116/1268367147*c_0101_6^3 - 1121291498/1268367147*c_0101_6^2 + 3746211551/1268367147*c_0101_6 + 778268377/1268367147, c_0101_5 - c_0101_6, c_0101_6^13 - 5*c_0101_6^12 + 40/3*c_0101_6^11 - 67/3*c_0101_6^10 + 136/3*c_0101_6^9 - 47*c_0101_6^8 + 119/3*c_0101_6^7 + 8/3*c_0101_6^6 + 8/3*c_0101_6^5 + 14/3*c_0101_6^4 - 9*c_0101_6^3 + 5/3*c_0101_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB