Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 2345277268] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1147 geometric_solution 5.02355287 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.492071902962 0.140965861228 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -1 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 1 1 -2 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246132251622 0.222281901064 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 -1 0 1 0 0 -1 1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918662639083 0.736208347437 2 5 4 6 0132 0132 3201 0132 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090328654958 0.690659356828 3 6 2 5 2310 1023 0132 2310 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 -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 -0.090328654958 0.690659356828 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.290215624398 0.547104050794 4 6 3 6 1023 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186179539119 1.423542073138 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : 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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), '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_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2087803705539663/490418345570525*c_0110_5^18 - 81352449012347244/490418345570525*c_0110_5^16 + 77936110109775844/98083669114105*c_0110_5^14 + 868319814971360357/490418345570525*c_0110_5^12 - 198616878204272679/490418345570525*c_0110_5^10 - 2142495018820631451/490418345570525*c_0110_5^8 - 1719001943083979319/490418345570525*c_0110_5^6 - 539476440136742357/490418345570525*c_0110_5^4 - 4169882392024348/490418345570525*c_0110_5^2 + 18836600043252382/490418345570525, c_0011_0 - 1, c_0011_1 - 6681762356624/98083669114105*c_0110_5^18 + 53154843362873/19616733822821*c_0110_5^16 - 1460349489221887/98083669114105*c_0110_5^14 - 1681401070696114/98083669114105*c_0110_5^12 + 2441019617179632/98083669114105*c_0110_5^10 + 5610621581200169/98083669114105*c_0110_5^8 + 88990402315693/19616733822821*c_0110_5^6 - 676601643334161/98083669114105*c_0110_5^4 - 320362393600506/98083669114105*c_0110_5^2 + 32461313832981/98083669114105, c_0011_4 + 52802740326757/98083669114105*c_0110_5^19 - 414313762570333/19616733822821*c_0110_5^17 + 10407172624775836/98083669114105*c_0110_5^15 + 19210981753410817/98083669114105*c_0110_5^13 - 10262918277718976/98083669114105*c_0110_5^11 - 51751068731241642/98083669114105*c_0110_5^9 - 5931363142524490/19616733822821*c_0110_5^7 - 5018588501236442/98083669114105*c_0110_5^5 + 2023464465523713/98083669114105*c_0110_5^3 + 233164269263017/98083669114105*c_0110_5, c_0101_0 - 93888338716969/98083669114105*c_0110_5^19 + 735019424570693/19616733822821*c_0110_5^17 - 18179401935492397/98083669114105*c_0110_5^15 - 35722836153928969/98083669114105*c_0110_5^13 + 14779329592471262/98083669114105*c_0110_5^11 + 93001756678588509/98083669114105*c_0110_5^9 + 12292454347845762/19616733822821*c_0110_5^7 + 15372822045130519/98083669114105*c_0110_5^5 - 1903390208195291/98083669114105*c_0110_5^3 - 491127751326024/98083669114105*c_0110_5, c_0101_2 - 169067379264383/98083669114105*c_0110_5^19 + 1324398850679150/19616733822821*c_0110_5^17 - 32896285439999234/98083669114105*c_0110_5^15 - 63607025597367998/98083669114105*c_0110_5^13 + 28654731260813474/98083669114105*c_0110_5^11 + 167247171246041303/98083669114105*c_0110_5^9 + 21144723375438388/19616733822821*c_0110_5^7 + 23618717428827428/98083669114105*c_0110_5^5 - 4053927185524187/98083669114105*c_0110_5^3 - 911750949677908/98083669114105*c_0110_5, c_0101_3 + 10995895299669/98083669114105*c_0110_5^18 - 85558476970084/19616733822821*c_0110_5^16 + 2024847436468082/98083669114105*c_0110_5^14 + 4754541752120874/98083669114105*c_0110_5^12 - 1063930560718142/98083669114105*c_0110_5^10 - 11789675835243924/98083669114105*c_0110_5^8 - 1877313340067298/19616733822821*c_0110_5^6 - 2103209218415344/98083669114105*c_0110_5^4 + 347173299788306/98083669114105*c_0110_5^2 + 119301197122799/98083669114105, c_0110_5^20 - 39*c_0110_5^18 + 188*c_0110_5^16 + 409*c_0110_5^14 - 107*c_0110_5^12 - 1019*c_0110_5^10 - 791*c_0110_5^8 - 241*c_0110_5^6 + 3*c_0110_5^4 + 10*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB