Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 2968595574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0290 geometric_solution 4.33440491 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.452066513589 0.099830819077 0 2 2 0 3201 0132 1023 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 -1 0 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 1.225918508653 0.137352953450 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251149141313 0.611528866219 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260110524880 0.290290555835 6 3 5 5 0132 0132 3201 2031 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 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 0.131516969286 0.831823517966 4 4 6 3 2310 1302 2310 0132 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 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 0.131516969286 0.831823517966 4 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 0 -1 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 1.814562961118 1.172859220233 ==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' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2141338599738843/98083669114105*c_0101_6^18 - 83988858868275401/98083669114105*c_0101_6^16 + 421218313485191793/98083669114105*c_0101_6^14 + 783954314762033259/98083669114105*c_0101_6^12 - 412830835381871339/98083669114105*c_0101_6^10 - 422020918578684519/19616733822821*c_0101_6^8 - 1218994804426694761/98083669114105*c_0101_6^6 - 194863542258588979/98083669114105*c_0101_6^4 + 89543835584399932/98083669114105*c_0101_6^2 + 15376275505263869/98083669114105, c_0011_0 - 1, c_0011_1 + 6681762356624/98083669114105*c_0101_6^18 - 53154843362873/19616733822821*c_0101_6^16 + 1460349489221887/98083669114105*c_0101_6^14 + 1681401070696114/98083669114105*c_0101_6^12 - 2441019617179632/98083669114105*c_0101_6^10 - 5610621581200169/98083669114105*c_0101_6^8 - 88990402315693/19616733822821*c_0101_6^6 + 676601643334161/98083669114105*c_0101_6^4 + 320362393600506/98083669114105*c_0101_6^2 - 32461313832981/98083669114105, c_0011_5 - 58443288500728/98083669114105*c_0101_6^19 + 457088728363798/19616733822821*c_0101_6^17 - 11229044777529604/98083669114105*c_0101_6^15 - 22680545033194048/98083669114105*c_0101_6^13 + 8408234530822504/98083669114105*c_0101_6^11 + 58512523537783773/98083669114105*c_0101_6^9 + 8093589743124036/19616733822821*c_0101_6^7 + 10512059795018313/98083669114105*c_0101_6^5 - 1457229212248877/98083669114105*c_0101_6^3 - 433521136824483/98083669114105*c_0101_6, c_0101_0 + 93888338716969/98083669114105*c_0101_6^19 - 735019424570693/19616733822821*c_0101_6^17 + 18179401935492397/98083669114105*c_0101_6^15 + 35722836153928969/98083669114105*c_0101_6^13 - 14779329592471262/98083669114105*c_0101_6^11 - 93001756678588509/98083669114105*c_0101_6^9 - 12292454347845762/19616733822821*c_0101_6^7 - 15372822045130519/98083669114105*c_0101_6^5 + 1903390208195291/98083669114105*c_0101_6^3 + 491127751326024/98083669114105*c_0101_6, c_0101_2 + 169067379264383/98083669114105*c_0101_6^19 - 1324398850679150/19616733822821*c_0101_6^17 + 32896285439999234/98083669114105*c_0101_6^15 + 63607025597367998/98083669114105*c_0101_6^13 - 28654731260813474/98083669114105*c_0101_6^11 - 167247171246041303/98083669114105*c_0101_6^9 - 21144723375438388/19616733822821*c_0101_6^7 - 23618717428827428/98083669114105*c_0101_6^5 + 4053927185524187/98083669114105*c_0101_6^3 + 911750949677908/98083669114105*c_0101_6, c_0101_3 + 10995895299669/98083669114105*c_0101_6^18 - 85558476970084/19616733822821*c_0101_6^16 + 2024847436468082/98083669114105*c_0101_6^14 + 4754541752120874/98083669114105*c_0101_6^12 - 1063930560718142/98083669114105*c_0101_6^10 - 11789675835243924/98083669114105*c_0101_6^8 - 1877313340067298/19616733822821*c_0101_6^6 - 2103209218415344/98083669114105*c_0101_6^4 + 347173299788306/98083669114105*c_0101_6^2 + 119301197122799/98083669114105, c_0101_6^20 - 39*c_0101_6^18 + 188*c_0101_6^16 + 409*c_0101_6^14 - 107*c_0101_6^12 - 1019*c_0101_6^10 - 791*c_0101_6^8 - 241*c_0101_6^6 + 3*c_0101_6^4 + 10*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB