Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 2134827928] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1845 geometric_solution 5.49153195 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 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 -0.245531251790 1.413922057812 0 5 1 1 0132 0132 1230 3012 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 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 0.342032553750 0.646112426558 2 0 2 5 2310 0132 3201 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 -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 0.533639564712 0.615971700648 6 4 6 0 0132 3012 0213 0132 0 0 0 0 0 0 0 0 1 0 -1 0 -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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.595793422981 0.844325887591 3 5 0 6 1230 3201 0132 0213 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 -1 1 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 -0.119474177929 0.367011391856 2 1 4 6 3201 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245531251790 1.413922057812 3 3 5 4 0132 0213 1230 0213 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -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 -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 0.489590857950 0.259039941977 ==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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1010_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 555085286044942481/382540625804755*c_1010_6^13 + 8192759085400731014/382540625804755*c_1010_6^12 + 6711469800818834198/76508125160951*c_1010_6^11 + 74118154189190038083/382540625804755*c_1010_6^10 + 141072658298318133658/382540625804755*c_1010_6^9 + 198953443326814124246/382540625804755*c_1010_6^8 + 190846250095150146528/382540625804755*c_1010_6^7 + 105285873497405022333/382540625804755*c_1010_6^6 - 65742228759899567037/382540625804755*c_1010_6^5 - 2856401343842843909/6955284105541*c_1010_6^4 - 30828083991959636383/76508125160951*c_1010_6^3 - 72929659170328710032/382540625804755*c_1010_6^2 - 10189038096693109647/382540625804755*c_1010_6 - 2150239543510792516/382540625804755, c_0011_0 - 1, c_0011_3 + 49865644233756/382540625804755*c_1010_6^13 + 713457886906499/382540625804755*c_1010_6^12 + 538705463142395/76508125160951*c_1010_6^11 + 5465974642806793/382540625804755*c_1010_6^10 + 10359640914117023/382540625804755*c_1010_6^9 + 13651358463418706/382540625804755*c_1010_6^8 + 11796367659749228/382540625804755*c_1010_6^7 + 5352665590074828/382540625804755*c_1010_6^6 - 6990223528510792/382540625804755*c_1010_6^5 - 191033004108638/6955284105541*c_1010_6^4 - 1967685541144419/76508125160951*c_1010_6^3 - 3561757476312242/382540625804755*c_1010_6^2 - 521312001362602/382540625804755*c_1010_6 - 10733307427771/382540625804755, c_0011_4 - c_1010_6, c_0101_0 - 62094015940491/382540625804755*c_1010_6^13 - 912627857945169/382540625804755*c_1010_6^12 - 741637199463277/76508125160951*c_1010_6^11 - 8207306189659828/382540625804755*c_1010_6^10 - 15724938411033988/382540625804755*c_1010_6^9 - 21992381890969566/382540625804755*c_1010_6^8 - 21381091229578808/382540625804755*c_1010_6^7 - 11915205317789588/382540625804755*c_1010_6^6 + 7338127120541792/382540625804755*c_1010_6^5 + 309346112800238/6955284105541*c_1010_6^4 + 3497760480760149/76508125160951*c_1010_6^3 + 7736183458759957/382540625804755*c_1010_6^2 + 1341219929535812/382540625804755*c_1010_6 + 109711753109726/382540625804755, c_0101_1 + 1219346784107/6955284105541*c_1010_6^13 + 17872167202742/6955284105541*c_1010_6^12 + 71964928504233/6955284105541*c_1010_6^11 + 156664066860498/6955284105541*c_1010_6^10 + 299457788173176/6955284105541*c_1010_6^9 + 420470260904081/6955284105541*c_1010_6^8 + 402379349555751/6955284105541*c_1010_6^7 + 226738815762201/6955284105541*c_1010_6^6 - 127967194009290/6955284105541*c_1010_6^5 - 313708267318770/6955284105541*c_1010_6^4 - 322779894698994/6955284105541*c_1010_6^3 - 161137003700212/6955284105541*c_1010_6^2 - 38106065270928/6955284105541*c_1010_6 - 5934300966178/6955284105541, c_0101_2 + 162231213416433/382540625804755*c_1010_6^13 + 2414287605900437/382540625804755*c_1010_6^12 + 2017979590020170/76508125160951*c_1010_6^11 + 22704884110566909/382540625804755*c_1010_6^10 + 43233771318706819/382540625804755*c_1010_6^9 + 61803807080468023/382540625804755*c_1010_6^8 + 60386295923290009/382540625804755*c_1010_6^7 + 34126227957943694/382540625804755*c_1010_6^6 - 18497721933053916/382540625804755*c_1010_6^5 - 897700380342178/6955284105541*c_1010_6^4 - 9799872570627050/76508125160951*c_1010_6^3 - 24004335978295511/382540625804755*c_1010_6^2 - 3465601790620526/382540625804755*c_1010_6 - 393473330712768/382540625804755, c_1010_6^14 + 15*c_1010_6^13 + 64*c_1010_6^12 + 148*c_1010_6^11 + 286*c_1010_6^10 + 419*c_1010_6^9 + 429*c_1010_6^8 + 271*c_1010_6^7 - 74*c_1010_6^6 - 312*c_1010_6^5 - 345*c_1010_6^4 - 197*c_1010_6^3 - 49*c_1010_6^2 - 8*c_1010_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB