Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 2614757034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2597 geometric_solution 5.88611699 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 0.551812168320 0.616006614126 0 2 5 3 0132 1230 0132 2031 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379452056335 0.402223085744 4 0 1 5 0321 0132 3012 1302 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 0.772289604852 1.061464571286 5 1 5 0 0321 1302 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866644868022 0.671864154272 2 6 0 6 0321 0132 0132 2310 0 0 0 0 0 1 0 -1 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 0 -1 1 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 0.145623622248 1.658596963000 3 3 2 1 0321 1230 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284227165389 1.431981216338 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 -1 0 1 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 0.416728101653 0.136799974346 ==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_0']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0011_5, c_0101_3, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 675895664343/102525995840905*c_1001_0^13 + 1284312079187/7886615064685*c_1001_0^12 - 365379181744/7886615064685*c_1001_0^11 + 2365863551681/14646570834415*c_1001_0^10 - 17296109940301/102525995840905*c_1001_0^9 - 7666460934072/102525995840905*c_1001_0^8 - 121361544952707/102525995840905*c_1001_0^7 - 85145551157311/20505199168181*c_1001_0^6 - 245851619731083/102525995840905*c_1001_0^5 - 912706601743992/102525995840905*c_1001_0^4 - 24886615599644/102525995840905*c_1001_0^3 - 160131097331851/20505199168181*c_1001_0^2 + 30377871016421/102525995840905*c_1001_0 - 322397878053507/102525995840905, c_0011_0 - 1, c_0011_3 + 577106097/225331858991*c_1001_0^13 - 2858948709/225331858991*c_1001_0^12 + 7435553251/225331858991*c_1001_0^11 - 861892910/225331858991*c_1001_0^10 - 813148621/225331858991*c_1001_0^9 - 19569331141/225331858991*c_1001_0^8 + 9788136175/225331858991*c_1001_0^7 + 19544739658/225331858991*c_1001_0^6 - 164467760943/225331858991*c_1001_0^5 - 7046255761/225331858991*c_1001_0^4 - 65893345127/225331858991*c_1001_0^3 + 181507747055/225331858991*c_1001_0^2 - 56910468857/225331858991*c_1001_0 - 113498946213/225331858991, c_0011_4 - 3873193961/225331858991*c_1001_0^13 - 4814900627/225331858991*c_1001_0^12 + 9171600125/225331858991*c_1001_0^11 + 7018031254/225331858991*c_1001_0^10 + 9666396461/225331858991*c_1001_0^9 + 19094342615/225331858991*c_1001_0^8 + 128686210354/225331858991*c_1001_0^7 + 128725887207/225331858991*c_1001_0^6 - 57806616487/225331858991*c_1001_0^5 - 117108626795/225331858991*c_1001_0^4 - 193909784189/225331858991*c_1001_0^3 + 196598392249/225331858991*c_1001_0^2 - 175662601/225331858991*c_1001_0 - 158560297899/225331858991, c_0011_5 - 6732142670/225331858991*c_1001_0^13 + 2620652624/225331858991*c_1001_0^12 + 8886813312/225331858991*c_1001_0^11 + 6781988730/225331858991*c_1001_0^10 - 5863192001/225331858991*c_1001_0^9 + 45041449506/225331858991*c_1001_0^8 + 158041753661/225331858991*c_1001_0^7 - 16120266438/225331858991*c_1001_0^6 - 65429978345/225331858991*c_1001_0^5 - 169151425594/225331858991*c_1001_0^4 + 1448509194/225331858991*c_1001_0^3 + 140842135586/225331858991*c_1001_0^2 - 107903547844/225331858991*c_1001_0 - 166062677160/225331858991, c_0101_3 - 6732142670/225331858991*c_1001_0^13 + 2620652624/225331858991*c_1001_0^12 + 8886813312/225331858991*c_1001_0^11 + 6781988730/225331858991*c_1001_0^10 - 5863192001/225331858991*c_1001_0^9 + 45041449506/225331858991*c_1001_0^8 + 158041753661/225331858991*c_1001_0^7 - 16120266438/225331858991*c_1001_0^6 - 65429978345/225331858991*c_1001_0^5 - 169151425594/225331858991*c_1001_0^4 + 1448509194/225331858991*c_1001_0^3 + 140842135586/225331858991*c_1001_0^2 - 107903547844/225331858991*c_1001_0 - 166062677160/225331858991, c_0110_6 + 11475465958/225331858991*c_1001_0^13 + 7229540413/225331858991*c_1001_0^12 - 2174432664/225331858991*c_1001_0^11 - 12221907382/225331858991*c_1001_0^10 - 17654255821/225331858991*c_1001_0^9 - 84388919228/225331858991*c_1001_0^8 - 368934136883/225331858991*c_1001_0^7 - 387410705158/225331858991*c_1001_0^6 - 463901665324/225331858991*c_1001_0^5 - 154716574981/225331858991*c_1001_0^4 - 208287744639/225331858991*c_1001_0^3 - 457744250227/225331858991*c_1001_0^2 - 224674840090/225331858991*c_1001_0 + 49321889746/225331858991, c_1001_0^14 - c_1001_0^11 - c_1001_0^10 - 7*c_1001_0^9 - 28*c_1001_0^8 - 17*c_1001_0^7 - 34*c_1001_0^6 + c_1001_0^5 - 24*c_1001_0^4 - 24*c_1001_0^3 - 2*c_1001_0^2 - 10*c_1001_0 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB