Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 1208604026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2750 geometric_solution 5.99011310 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3012 0 0 0 0 0 0 -1 1 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 0.705537317083 0.858535672309 0 3 4 4 0132 0132 2310 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523270550625 0.369967070538 5 0 6 4 0132 0132 0132 2103 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417140443728 1.043856410678 5 1 0 0 1023 0132 1230 0132 0 0 0 0 0 0 -1 1 -1 0 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705537317083 0.858535672309 5 1 1 2 3012 3201 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977208344268 0.480894436813 2 3 6 4 0132 1023 1023 1230 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 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 -0.417140443728 1.043856410678 6 6 5 2 1230 3012 1023 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614535480134 1.681484579339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_0110_4']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 4087068969/2592856*c_1001_0^12 - 114767723813/6482140*c_1001_0^11 + 70840752944/1620535*c_1001_0^10 - 470785515149/12964280*c_1001_0^9 + 17029139947/2592856*c_1001_0^8 + 592746965897/12964280*c_1001_0^7 - 74353779731/926020*c_1001_0^6 + 589452261299/6482140*c_1001_0^5 - 248318880307/2592856*c_1001_0^4 + 70013954927/926020*c_1001_0^3 - 58992025788/1620535*c_1001_0^2 + 4376702247/463010*c_1001_0 - 13251246737/12964280, c_0011_0 - 1, c_0011_4 - 63776817/46301*c_1001_0^12 + 1433005815/92602*c_1001_0^11 - 3547437813/92602*c_1001_0^10 + 3015665153/92602*c_1001_0^9 - 325244102/46301*c_1001_0^8 - 3684514673/92602*c_1001_0^7 + 3264464191/46301*c_1001_0^6 - 3775429358/46301*c_1001_0^5 + 3957509111/46301*c_1001_0^4 - 6311891045/92602*c_1001_0^3 + 3135328279/92602*c_1001_0^2 - 852324437/92602*c_1001_0 + 97738137/92602, c_0101_0 + c_1001_0, c_0101_1 + 114349929/185204*c_1001_0^12 - 319906012/46301*c_1001_0^11 + 1562994411/92602*c_1001_0^10 - 2589532671/185204*c_1001_0^9 + 520456315/185204*c_1001_0^8 + 3295858547/185204*c_1001_0^7 - 2855099517/92602*c_1001_0^6 + 3290212591/92602*c_1001_0^5 - 6892289955/185204*c_1001_0^4 + 1361869101/46301*c_1001_0^3 - 1333688461/92602*c_1001_0^2 + 356876987/92602*c_1001_0 - 80571347/185204, c_0101_3 - 31841028/46301*c_1001_0^12 + 356505792/46301*c_1001_0^11 - 872594784/46301*c_1001_0^10 + 726403159/46301*c_1001_0^9 - 149073244/46301*c_1001_0^8 - 917576382/46301*c_1001_0^7 + 1595767424/46301*c_1001_0^6 - 1842196113/46301*c_1001_0^5 + 1929387281/46301*c_1001_0^4 - 1527768026/46301*c_1001_0^3 + 750998140/46301*c_1001_0^2 - 202144787/46301*c_1001_0 + 22989874/46301, c_0110_4 + 72268242/46301*c_1001_0^12 - 1623475097/92602*c_1001_0^11 + 4016464733/92602*c_1001_0^10 - 3412076539/92602*c_1001_0^9 + 368932477/46301*c_1001_0^8 + 4172168117/92602*c_1001_0^7 - 3694924350/46301*c_1001_0^6 + 4274940787/46301*c_1001_0^5 - 4481905650/46301*c_1001_0^4 + 7146416093/92602*c_1001_0^3 - 3551916727/92602*c_1001_0^2 + 967938975/92602*c_1001_0 - 111653593/92602, c_1001_0^13 - 35/3*c_1001_0^12 + 98/3*c_1001_0^11 - 107/3*c_1001_0^10 + 46/3*c_1001_0^9 + 80/3*c_1001_0^8 - 191/3*c_1001_0^7 + 244/3*c_1001_0^6 - 263/3*c_1001_0^5 + 229/3*c_1001_0^4 - 46*c_1001_0^3 + 52/3*c_1001_0^2 - 11/3*c_1001_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB