Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 3465499183] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2063 geometric_solution 5.58372787 oriented_manifold CS_known 0.0000000000000001 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.663119606262 0.281045099412 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 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 1.167421777056 0.680689419642 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 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 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 0.343289705821 0.289796185482 2 5 6 4 0132 0132 0132 0321 0 0 0 0 0 0 0 0 -1 0 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 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 0.910876927461 1.029861149658 6 3 2 5 0132 0321 0132 1023 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 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 0.910876927461 1.029861149658 5 3 5 4 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512082282010 0.767268127611 4 6 6 3 0132 3201 2310 0132 0 0 0 0 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 1 0 -1 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 0.756910510281 0.597226067073 ==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' : 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_0011_4']), 'c_1100_5' : d['c_0011_1'], '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_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), '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' : negation(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_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], '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' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0011_4']), '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_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 19*c_0101_6^5 - 20*c_0101_6^4 + 90*c_0101_6^3 + 78*c_0101_6^2 - 92*c_0101_6 - 54, c_0011_0 - 1, c_0011_1 + c_0101_6^2 - 1, c_0011_4 - c_0101_6^3 + 2*c_0101_6, c_0101_0 - c_0101_6, c_0101_3 - c_0101_6^5 + 4*c_0101_6^3 - 3*c_0101_6, c_0101_5 + c_0101_6^4 - 3*c_0101_6^2 + 1, c_0101_6^6 + c_0101_6^5 - 5*c_0101_6^4 - 4*c_0101_6^3 + 6*c_0101_6^2 + 3*c_0101_6 - 1 ], 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_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 230215217661376/73113749011*c_0101_6^16 + 2387189259856063/73113749011*c_0101_6^15 + 12999132787622755/73113749011*c_0101_6^14 + 43611107512126473/73113749011*c_0101_6^13 + 91574999813051650/73113749011*c_0101_6^12 + 113949997241601163/73113749011*c_0101_6^11 + 55162803606404921/73113749011*c_0101_6^10 - 62807798243693150/73113749011*c_0101_6^9 - 160829493322818934/73113749011*c_0101_6^8 - 221986997063649256/73113749011*c_0101_6^7 - 210370788363575027/73113749011*c_0101_6^6 - 3454243324592892/2521163759*c_0101_6^5 + 71085772998886/2521163759*c_0101_6^4 + 21125108171742404/73113749011*c_0101_6^3 + 5421349095151026/73113749011*c_0101_6^2 - 850325767630925/73113749011*c_0101_6 - 358730707973220/73113749011, c_0011_0 - 1, c_0011_1 - 6586570060/61491799*c_0101_6^16 - 68806968196/61491799*c_0101_6^15 - 376776403904/61491799*c_0101_6^14 - 1272478147181/61491799*c_0101_6^13 - 2695803265739/61491799*c_0101_6^12 - 3397937835556/61491799*c_0101_6^11 - 1707170427740/61491799*c_0101_6^10 + 1803576991765/61491799*c_0101_6^9 + 4764678220256/61491799*c_0101_6^8 + 6588171174364/61491799*c_0101_6^7 + 6301453765895/61491799*c_0101_6^6 + 3062286510209/61491799*c_0101_6^5 - 54153931064/61491799*c_0101_6^4 - 667416646390/61491799*c_0101_6^3 - 176182324062/61491799*c_0101_6^2 + 27733227647/61491799*c_0101_6 + 12133418297/61491799, c_0011_4 + 17838311304/61491799*c_0101_6^16 + 184860561432/61491799*c_0101_6^15 + 1005860461431/61491799*c_0101_6^14 + 3370849006385/61491799*c_0101_6^13 + 7064334210345/61491799*c_0101_6^12 + 8754799226993/61491799*c_0101_6^11 + 4166961547628/61491799*c_0101_6^10 - 4937778917657/61491799*c_0101_6^9 - 12423515617652/61491799*c_0101_6^8 - 17064139141923/61491799*c_0101_6^7 - 16110782010447/61491799*c_0101_6^6 - 7554121541263/61491799*c_0101_6^5 + 275410300071/61491799*c_0101_6^4 + 1637389870296/61491799*c_0101_6^3 + 399775172512/61491799*c_0101_6^2 - 68956252790/61491799*c_0101_6 - 26969595391/61491799, c_0101_0 - 28181230649/61491799*c_0101_6^16 - 290908932609/61491799*c_0101_6^15 - 1578124280134/61491799*c_0101_6^14 - 5269218363782/61491799*c_0101_6^13 - 10986474953756/61491799*c_0101_6^12 - 13507477578137/61491799*c_0101_6^11 - 6259986748727/61491799*c_0101_6^10 + 7834544194033/61491799*c_0101_6^9 + 19295128510188/61491799*c_0101_6^8 + 26416383593726/61491799*c_0101_6^7 + 24761329117616/61491799*c_0101_6^6 + 11404392693458/61491799*c_0101_6^5 - 542155285196/61491799*c_0101_6^4 - 2507423849667/61491799*c_0101_6^3 - 598026235234/61491799*c_0101_6^2 + 106673104198/61491799*c_0101_6 + 40920260368/61491799, c_0101_3 + 17202879388/61491799*c_0101_6^16 + 179298311811/61491799*c_0101_6^15 + 980160131333/61491799*c_0101_6^14 + 3303829471563/61491799*c_0101_6^13 + 6981901593214/61491799*c_0101_6^12 + 8771724273517/61491799*c_0101_6^11 + 4373688868407/61491799*c_0101_6^10 - 4679007250086/61491799*c_0101_6^9 - 12296290965424/61491799*c_0101_6^8 - 17025084732560/61491799*c_0101_6^7 - 16262115267660/61491799*c_0101_6^6 - 7886972815665/61491799*c_0101_6^5 + 94587598668/61491799*c_0101_6^4 + 1664536069549/61491799*c_0101_6^3 + 440061082960/61491799*c_0101_6^2 - 67225528999/61491799*c_0101_6 - 29482549437/61491799, c_0101_5 - 17101270332/61491799*c_0101_6^16 - 178102717801/61491799*c_0101_6^15 - 973084346371/61491799*c_0101_6^14 - 3277756140160/61491799*c_0101_6^13 - 6920305903152/61491799*c_0101_6^12 - 8681067173853/61491799*c_0101_6^11 - 4304383207926/61491799*c_0101_6^10 + 4669059286930/61491799*c_0101_6^9 + 12201033598473/61491799*c_0101_6^8 + 16863895514154/61491799*c_0101_6^7 + 16072550426891/61491799*c_0101_6^6 + 7760113396263/61491799*c_0101_6^5 - 138136306415/61491799*c_0101_6^4 - 1669272928618/61491799*c_0101_6^3 - 436112590856/61491799*c_0101_6^2 + 68940848792/61491799*c_0101_6 + 29525551224/61491799, c_0101_6^17 + 11*c_0101_6^16 + 63*c_0101_6^15 + 225*c_0101_6^14 + 517*c_0101_6^13 + 745*c_0101_6^12 + 550*c_0101_6^11 - 124*c_0101_6^10 - 872*c_0101_6^9 - 1404*c_0101_6^8 - 1519*c_0101_6^7 - 1007*c_0101_6^6 - 261*c_0101_6^5 + 100*c_0101_6^4 + 82*c_0101_6^3 + 11*c_0101_6^2 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB