Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 1680210045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s716 geometric_solution 5.22600590 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381223683872 0.215523785414 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630979310079 0.908271911189 1 4 5 3 0132 0132 0132 2310 0 0 0 0 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 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 0.040608969903 0.999560110908 2 5 4 1 3201 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 0 0 0 -1 0 0 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 0.040608969903 0.999560110908 3 2 4 4 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.324940680365 1.313293780935 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474477176382 0.906646083375 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), '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_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 329440530724779/7726897666462*c_0101_4^21 + 16309282311657/3863448833231*c_0101_4^19 + 8067112568052877/3863448833231*c_0101_4^17 + 24897554309378323/3863448833231*c_0101_4^15 - 20821601898215787/7726897666462*c_0101_4^13 - 100692295822948639/3863448833231*c_0101_4^11 - 49935845116048204/3863448833231*c_0101_4^9 + 4161140430034171/297188371787*c_0101_4^7 - 26096843537979197/3863448833231*c_0101_4^5 - 6888749593294963/7726897666462*c_0101_4^3 + 683162572745403/3863448833231*c_0101_4, c_0011_0 - 1, c_0011_1 - 15682200626/297188371787*c_0101_4^20 + 4952744450/297188371787*c_0101_4^18 + 770356924987/297188371787*c_0101_4^16 + 2202542768423/297188371787*c_0101_4^14 - 1631443033947/297188371787*c_0101_4^12 - 9733748560550/297188371787*c_0101_4^10 - 2512941128005/297188371787*c_0101_4^8 + 7586466723548/297188371787*c_0101_4^6 - 2810693526943/297188371787*c_0101_4^4 - 507073201514/297188371787*c_0101_4^2 + 289404803037/297188371787, c_0011_3 + 5691432410017/7726897666462*c_0101_4^21 - 805621756417/7726897666462*c_0101_4^19 - 139388048587119/3863448833231*c_0101_4^17 - 424208479063324/3863448833231*c_0101_4^15 + 399428990482577/7726897666462*c_0101_4^13 + 3474499580423109/7726897666462*c_0101_4^11 + 788583475003708/3863448833231*c_0101_4^9 - 76238730749990/297188371787*c_0101_4^7 + 472816697281992/3863448833231*c_0101_4^5 + 95578719770549/7726897666462*c_0101_4^3 - 27690770476327/7726897666462*c_0101_4, c_0101_0 + 2504049216503/3863448833231*c_0101_4^21 - 610781881811/3863448833231*c_0101_4^19 - 122652522219397/3863448833231*c_0101_4^17 - 360734936126241/3863448833231*c_0101_4^15 + 215757539923175/3863448833231*c_0101_4^13 + 1516917768610417/3863448833231*c_0101_4^11 + 536374952612019/3863448833231*c_0101_4^9 - 74461465458218/297188371787*c_0101_4^7 + 488160230332238/3863448833231*c_0101_4^5 + 9144171411663/3863448833231*c_0101_4^3 - 18672160572855/3863448833231*c_0101_4, c_0101_1 - 44966472757/297188371787*c_0101_4^20 + 7414750706/297188371787*c_0101_4^18 + 2204639156272/297188371787*c_0101_4^16 + 6649351746942/297188371787*c_0101_4^14 - 3419091976227/297188371787*c_0101_4^12 - 27620219839939/297188371787*c_0101_4^10 - 11515181945270/297188371787*c_0101_4^8 + 16999416969166/297188371787*c_0101_4^6 - 7653420521705/297188371787*c_0101_4^4 - 1158490447560/297188371787*c_0101_4^2 + 293095682761/297188371787, c_0101_4^22 - 49*c_0101_4^18 - 156*c_0101_4^16 + 49*c_0101_4^14 + 620*c_0101_4^12 + 363*c_0101_4^10 - 308*c_0101_4^8 + 120*c_0101_4^6 + 41*c_0101_4^4 - 4*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB