Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 3616951272] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s052 geometric_solution 3.59232518 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 0 0 0 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 0 0 1 -1 2 0 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 5.554107315288 1.204805478493 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 1 1 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.309974104458 0.132754162739 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 0 2 0 -2 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 1.280921192921 0.868208128695 4 5 5 2 1302 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 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 1 -1 0 0 -2 2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992146444497 0.516472223813 5 3 2 5 2310 2031 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992146444497 0.516472223813 3 3 4 4 2031 0132 3201 0213 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 -1 0 0 1 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206979513089 0.412815120868 ==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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_3'], '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_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4823377863853/1738778515992*c_0101_5^12 - 56081855047555/3477557031984*c_0101_5^11 + 5466090703193/144898209666*c_0101_5^10 - 30087925288004/217347314499*c_0101_5^9 + 13311704709697/102281089176*c_0101_5^8 - 483156594846749/1738778515992*c_0101_5^7 + 966305302493557/3477557031984*c_0101_5^6 - 611721567545047/3477557031984*c_0101_5^5 + 61869266803975/165597953904*c_0101_5^4 + 85246024537039/3477557031984*c_0101_5^3 + 533328930003397/1738778515992*c_0101_5^2 + 103533865557601/1159185677328*c_0101_5 + 342816763702715/3477557031984, c_0011_0 - 1, c_0011_1 - 8688913/67646223*c_0101_5^12 - 62229611/67646223*c_0101_5^11 + 13578047/22548741*c_0101_5^10 - 345674305/67646223*c_0101_5^9 - 176823664/67646223*c_0101_5^8 - 732070187/67646223*c_0101_5^7 - 586118863/67646223*c_0101_5^6 - 744418796/67646223*c_0101_5^5 - 149059240/22548741*c_0101_5^4 - 415609102/67646223*c_0101_5^3 - 19972622/67646223*c_0101_5^2 + 6065768/22548741*c_0101_5 + 50485732/67646223, c_0011_3 - 1455988241/10349872119*c_0101_5^12 - 9405712789/10349872119*c_0101_5^11 + 4580038933/3449957373*c_0101_5^10 - 65211565184/10349872119*c_0101_5^9 + 925305509/608816007*c_0101_5^8 - 121339086886/10349872119*c_0101_5^7 - 7504577432/10349872119*c_0101_5^6 - 76167324202/10349872119*c_0101_5^5 - 6428532899/3449957373*c_0101_5^4 - 6622703504/10349872119*c_0101_5^3 + 509363813/10349872119*c_0101_5^2 + 5483658961/3449957373*c_0101_5 - 2345485066/10349872119, c_0101_1 - 1289835676/10349872119*c_0101_5^12 - 8445018365/10349872119*c_0101_5^11 + 3696168410/3449957373*c_0101_5^10 - 58830120085/10349872119*c_0101_5^9 + 752880493/608816007*c_0101_5^8 - 127497704144/10349872119*c_0101_5^7 + 2158754162/10349872119*c_0101_5^6 - 126508854098/10349872119*c_0101_5^5 + 1365298604/3449957373*c_0101_5^4 - 76903642228/10349872119*c_0101_5^3 + 16851298852/10349872119*c_0101_5^2 - 2017193017/3449957373*c_0101_5 + 4674195163/10349872119, c_0101_2 + 167525/7516247*c_0101_5^12 + 2603788/7516247*c_0101_5^11 + 7626022/7516247*c_0101_5^10 - 10138282/7516247*c_0101_5^9 + 77172525/7516247*c_0101_5^8 - 35773255/7516247*c_0101_5^7 + 167626060/7516247*c_0101_5^6 - 39509980/7516247*c_0101_5^5 + 154856642/7516247*c_0101_5^4 - 8508871/7516247*c_0101_5^3 + 69189303/7516247*c_0101_5^2 - 8912427/7516247*c_0101_5 + 5937992/7516247, c_0101_5^13 + 7*c_0101_5^12 - 5*c_0101_5^11 + 46*c_0101_5^10 + 6*c_0101_5^9 + 121*c_0101_5^8 + 44*c_0101_5^7 + 151*c_0101_5^6 + 55*c_0101_5^5 + 100*c_0101_5^4 + 22*c_0101_5^3 + 22*c_0101_5^2 - 4*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB