Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 3069651603] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s292 geometric_solution 4.45721124 oriented_manifold CS_known -0.0000000000000002 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.387450890519 0.731012630458 2 3 2 0 1302 0132 1230 0132 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 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 0.673429953554 0.803667484219 3 1 0 1 0132 2031 0132 3012 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673429953554 0.803667484219 2 1 4 4 0132 0132 0132 3201 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 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 -0.384261273325 0.566462989303 5 3 5 3 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -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 -0.356343413362 2.414387901303 4 4 5 5 0132 3201 1230 3012 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 -1 0 1 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 0.190460592022 0.154548065321 ==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' : 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_0101_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), '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_0011_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_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_4, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1361191071/251469563*c_0101_4^15 + 11245089355/251469563*c_0101_4^14 - 28714864600/251469563*c_0101_4^13 + 994962187/251469563*c_0101_4^12 + 124717338800/251469563*c_0101_4^1\ 1 - 122029345749/251469563*c_0101_4^10 - 209680763610/251469563*c_0101_4^9 + 239532647445/251469563*c_0101_4^8 + 207749529055/251469563*c_0101_4^7 - 206126489821/251469563*c_0101_4^6 - 106436930026/251469563*c_0101_4^5 + 115325486966/251469563*c_0101_4^4 + 18693406980/251469563*c_0101_4^3 - 49178246049/251469563*c_0101_4^2 - 5005644831/251469563*c_0101_4 + 8117298206/251469563, c_0011_0 - 1, c_0011_1 + 247817935/251469563*c_0101_4^15 - 2372130819/251469563*c_0101_4^14 + 8306812649/251469563*c_0101_4^13 - 10808602435/251469563*c_0101_4^12 - 9279970369/251469563*c_0101_4^11 + 34774840916/251469563*c_0101_4^10 - 5074582358/251469563*c_0101_4^9 - 40446153885/251469563*c_0101_4^8 + 13097770881/251469563*c_0101_4^7 + 24965042130/251469563*c_0101_4^6 - 12045420061/251469563*c_0101_4^5 - 8174663524/251469563*c_0101_4^4 + 6621464013/251469563*c_0101_4^3 + 1887885185/251469563*c_0101_4^2 - 1129951891/251469563*c_0101_4 - 147189332/251469563, c_0011_4 - 76318463/251469563*c_0101_4^15 + 752317108/251469563*c_0101_4^14 - 2752510325/251469563*c_0101_4^13 + 3940104782/251469563*c_0101_4^12 + 2244108943/251469563*c_0101_4^11 - 11779295861/251469563*c_0101_4^10 + 3928253761/251469563*c_0101_4^9 + 12990004270/251469563*c_0101_4^8 - 6967745491/251469563*c_0101_4^7 - 7236863653/251469563*c_0101_4^6 + 5494554296/251469563*c_0101_4^5 + 1664254780/251469563*c_0101_4^4 - 2556216625/251469563*c_0101_4^3 - 156615010/251469563*c_0101_4^2 + 115839521/251469563*c_0101_4 - 171499472/251469563, c_0101_0 - 370414606/251469563*c_0101_4^15 + 3065068346/251469563*c_0101_4^14 - 7961803712/251469563*c_0101_4^13 + 1345658640/251469563*c_0101_4^12 + 30801694712/251469563*c_0101_4^11 - 30356506895/251469563*c_0101_4^10 - 51317428881/251469563*c_0101_4^9 + 53076306796/251469563*c_0101_4^8 + 54097940354/251469563*c_0101_4^7 - 42156502631/251469563*c_0101_4^6 - 29494465035/251469563*c_0101_4^5 + 23582025838/251469563*c_0101_4^4 + 7177563475/251469563*c_0101_4^3 - 10784911718/251469563*c_0101_4^2 - 2574194383/251469563*c_0101_4 + 1593367500/251469563, c_0101_3 + 372939691/251469563*c_0101_4^15 - 3312180481/251469563*c_0101_4^14 + 10102743049/251469563*c_0101_4^13 - 8273595788/251469563*c_0101_4^12 - 22997554150/251469563*c_0101_4^11 + 40016389233/251469563*c_0101_4^10 + 25501954870/251469563*c_0101_4^9 - 56764942166/251469563*c_0101_4^8 - 22497289591/251469563*c_0101_4^7 + 40274265003/251469563*c_0101_4^6 + 8641374489/251469563*c_0101_4^5 - 17445173733/251469563*c_0101_4^4 + 780256373/251469563*c_0101_4^3 + 6795501917/251469563*c_0101_4^2 + 571422940/251469563*c_0101_4 - 836530189/251469563, c_0101_4^16 - 9*c_0101_4^15 + 28*c_0101_4^14 - 24*c_0101_4^13 - 64*c_0101_4^12 + 121*c_0101_4^11 + 62*c_0101_4^10 - 183*c_0101_4^9 - 40*c_0101_4^8 + 144*c_0101_4^7 + 4*c_0101_4^6 - 70*c_0101_4^5 + 14*c_0101_4^4 + 25*c_0101_4^3 - 5*c_0101_4^2 - 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB