Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 2134827955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1604 geometric_solution 5.36642424 oriented_manifold CS_known 0.0000000000000003 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 1.521369165798 0.244272023900 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 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 1.149171627579 0.371530332050 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 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 0.631694288327 0.439285969804 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 0 0 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736692893071 1.058100145251 6 5 2 3 1023 2310 0132 0321 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 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736692893071 1.058100145251 5 5 3 4 1302 2031 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 0.465217251796 0.389649071868 6 4 6 3 2310 1023 3201 0132 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 0 0 0 -1 0 1 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 -0.255563624272 0.962298974417 ==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_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), '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' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), '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' : 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' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), '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_5']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_5']), '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_0011_5, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 989660103576190/772295757419*c_0110_5^22 - 21170348131177079/772295757419*c_0110_5^20 + 179113618650231335/772295757419*c_0110_5^18 - 1464596153018554110/772295757419*c_0110_5^16 + 6019817725044487533/772295757419*c_0110_5^14 - 12628406913055587710/772295757419*c_0110_5^12 + 14953538947049919569/772295757419*c_0110_5^10 - 10477314172358330358/772295757419*c_0110_5^8 + 4321154465459899503/772295757419*c_0110_5^6 - 976857359039884838/772295757419*c_0110_5^4 + 98093640504487679/772295757419*c_0110_5^2 - 1826475865445144/772295757419, c_0011_0 - 1, c_0011_1 - 18019269515276/772295757419*c_0110_5^22 + 387138030171508/772295757419*c_0110_5^20 - 3296232576309827/772295757419*c_0110_5^18 + 26951938449129415/772295757419*c_0110_5^16 - 111938738224922706/772295757419*c_0110_5^14 + 238906668506884846/772295757419*c_0110_5^12 - 288915420996384620/772295757419*c_0110_5^10 + 207217371928772623/772295757419*c_0110_5^8 - 87561886190532538/772295757419*c_0110_5^6 + 20258439084996837/772295757419*c_0110_5^4 - 2064226037371702/772295757419*c_0110_5^2 + 35458960326279/772295757419, c_0011_4 + 17522034404066/772295757419*c_0110_5^23 - 375856986295984/772295757419*c_0110_5^21 + 3192767466303843/772295757419*c_0110_5^19 - 26106023373407257/772295757419*c_0110_5^17 + 108014758772143965/772295757419*c_0110_5^15 - 229084602349667602/772295757419*c_0110_5^13 + 274921213785615502/772295757419*c_0110_5^11 - 195545189541028768/772295757419*c_0110_5^9 + 81934813457625905/772295757419*c_0110_5^7 - 18800526500167578/772295757419*c_0110_5^5 + 1903440364657953/772295757419*c_0110_5^3 - 34408089385585/772295757419*c_0110_5, c_0011_5 + 33323706807503/772295757419*c_0110_5^23 - 714352477245267/772295757419*c_0110_5^21 + 6062478328270734/772295757419*c_0110_5^19 - 49570646746446610/772295757419*c_0110_5^17 + 204783780518609071/772295757419*c_0110_5^15 - 433201738331977741/772295757419*c_0110_5^13 + 518172498882553014/772295757419*c_0110_5^11 - 367067188648015129/772295757419*c_0110_5^9 + 153033440618941154/772295757419*c_0110_5^7 - 34900817008302798/772295757419*c_0110_5^5 + 3507262559608042/772295757419*c_0110_5^3 - 61685525658902/772295757419*c_0110_5, c_0101_0 + 9584559579301/772295757419*c_0110_5^23 - 206490409463897/772295757419*c_0110_5^21 + 1765026447462785/772295757419*c_0110_5^19 - 14429882022670430/772295757419*c_0110_5^17 + 60310733361465975/772295757419*c_0110_5^15 - 129943274594240645/772295757419*c_0110_5^13 + 158710001475212016/772295757419*c_0110_5^11 - 114853857049964939/772295757419*c_0110_5^9 + 48840493922708359/772295757419*c_0110_5^7 - 11291415421024618/772295757419*c_0110_5^5 + 1116492889862211/772295757419*c_0110_5^3 - 11921556492418/772295757419*c_0110_5, c_0101_3 + 10857764280176/772295757419*c_0110_5^22 - 232373834969713/772295757419*c_0110_5^20 + 1967465384900241/772295757419*c_0110_5^18 - 16088766072453166/772295757419*c_0110_5^16 + 66210664993485001/772295757419*c_0110_5^14 - 139247134843202302/772295757419*c_0110_5^12 + 165542880303330807/772295757419*c_0110_5^10 - 116653670409901458/772295757419*c_0110_5^8 + 48479674985760180/772295757419*c_0110_5^6 - 11055938202909447/772295757419*c_0110_5^4 + 1113917018531123/772295757419*c_0110_5^2 - 18979645867922/772295757419, c_0110_5^24 - 22*c_0110_5^22 + 194*c_0110_5^20 - 1590*c_0110_5^18 + 6983*c_0110_5^16 - 16460*c_0110_5^14 + 22868*c_0110_5^12 - 19768*c_0110_5^10 + 10793*c_0110_5^8 - 3633*c_0110_5^6 + 695*c_0110_5^4 - 61*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB