Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 391547702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s333 geometric_solution 4.52370401 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.520480750142 0.517191098667 3 2 2 0 0132 3012 2031 0132 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 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 0.712645286237 0.771589767264 1 3 0 1 1230 2310 0132 1302 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 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 0.712645286237 0.771589767264 1 4 4 2 0132 0132 1023 3201 0 0 0 0 0 0 1 -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 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 0.602736012440 0.569876093215 5 3 3 5 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.401248524091 0.404460152787 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.604926861362 0.157165761563 ==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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_1']), 'c_0011_4' : 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_0011_1'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], '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_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : 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_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 22156196067/6495513520*c_0101_5^12 + 32552753593/6495513520*c_0101_5^11 + 548685237937/6495513520*c_0101_5^10 + 691113497947/6495513520*c_0101_5^9 - 200593062397/3247756760*c_0101_5^8 - 141283269491/649551352*c_0101_5^7 - 1457777361147/6495513520*c_0101_5^6 + 2130867549/81193919*c_0101_5^5 - 2353824897/1299102704*c_0101_5^4 - 156711022991/6495513520*c_0101_5^3 + 71015865579/1623878380*c_0101_5^2 + 36861400133/1299102704*c_0101_5 + 5607891333/405969595, c_0011_0 - 1, c_0011_1 + 296663933/1299102704*c_0101_5^12 - 397506571/1299102704*c_0101_5^11 - 7464783129/1299102704*c_0101_5^10 - 10047034781/1299102704*c_0101_5^9 + 348198353/81193919*c_0101_5^8 + 9986824111/649551352*c_0101_5^7 + 19630511565/1299102704*c_0101_5^6 - 126228828/81193919*c_0101_5^5 - 1599500519/1299102704*c_0101_5^4 + 4959294531/1299102704*c_0101_5^3 - 1264451307/324775676*c_0101_5^2 - 1513841257/1299102704*c_0101_5 - 110559639/649551352, c_0101_0 - 61537331/324775676*c_0101_5^12 + 154068593/649551352*c_0101_5^11 + 1544799443/324775676*c_0101_5^10 + 4493817775/649551352*c_0101_5^9 - 368552303/162387838*c_0101_5^8 - 1030568026/81193919*c_0101_5^7 - 1124343353/81193919*c_0101_5^6 - 298193935/649551352*c_0101_5^5 - 785813679/649551352*c_0101_5^4 - 1225195885/324775676*c_0101_5^3 + 422122729/649551352*c_0101_5^2 + 1984019161/649551352*c_0101_5 + 168381201/324775676, c_0101_1 + 114227319/1299102704*c_0101_5^12 - 250549523/1299102704*c_0101_5^11 - 2724040671/1299102704*c_0101_5^10 - 1409806345/1299102704*c_0101_5^9 + 614332331/162387838*c_0101_5^8 + 2193289465/649551352*c_0101_5^7 + 216143715/1299102704*c_0101_5^6 - 2548116979/649551352*c_0101_5^5 + 4226058133/1299102704*c_0101_5^4 + 4229677185/1299102704*c_0101_5^3 - 2640047021/649551352*c_0101_5^2 - 36854265/1299102704*c_0101_5 + 565468605/649551352, c_0101_4 - 4228863/324775676*c_0101_5^12 + 20464875/649551352*c_0101_5^11 + 58108989/162387838*c_0101_5^10 - 10712289/649551352*c_0101_5^9 - 301978213/162387838*c_0101_5^8 - 114018736/81193919*c_0101_5^7 + 206810615/162387838*c_0101_5^6 + 1724381363/649551352*c_0101_5^5 + 795563289/649551352*c_0101_5^4 - 323709969/324775676*c_0101_5^3 + 1795881719/649551352*c_0101_5^2 - 113386003/649551352*c_0101_5 - 217275451/324775676, c_0101_5^13 - 2*c_0101_5^12 - 24*c_0101_5^11 - 18*c_0101_5^10 + 35*c_0101_5^9 + 54*c_0101_5^8 + 31*c_0101_5^7 - 43*c_0101_5^6 + 5*c_0101_5^5 + 8*c_0101_5^4 - 17*c_0101_5^3 - c_0101_5^2 + c_0101_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB