Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3852761545] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s221 geometric_solution 4.37419672 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 1 -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 1.940334997626 0.473552583926 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 -1 1 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 0.374153743229 0.979994643754 4 1 3 3 0132 0132 1302 2031 0 0 0 0 0 1 0 -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 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 0.325789357490 0.369407334868 2 2 4 1 2031 1302 2310 0132 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 0 -1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325789357490 0.369407334868 2 3 5 5 0132 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.668990953392 1.752165026101 5 4 4 5 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -0.029861311909 0.470037491442 ==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_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_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_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 6382619877161/20939372019085*c_0101_4^10 + 114726811010581/20939372019085*c_0101_4^9 - 199129682503062/20939372019085*c_0101_4^8 - 396067644766393/20939372019085*c_0101_4^7 + 968007703037511/20939372019085*c_0101_4^6 - 477309656593184/20939372019085*c_0101_4^5 + 142692115912472/20939372019085*c_0101_4^4 - 751025086838497/20939372019085*c_0101_4^3 + 887766867411524/20939372019085*c_0101_4^2 + 94102032332192/20939372019085*c_0101_4 - 213597797139221/20939372019085, c_0011_0 - 1, c_0011_3 - 480401134587/1610720924545*c_0101_4^10 + 144251545108/322144184909*c_0101_4^9 + 2018431148038/1610720924545*c_0101_4^8 - 2982546245526/1610720924545*c_0101_4^7 + 488437832378/1610720924545*c_0101_4^6 - 438974941198/1610720924545*c_0101_4^5 + 3341078312166/1610720924545*c_0101_4^4 - 516643111918/322144184909*c_0101_4^3 - 475664168191/322144184909*c_0101_4^2 + 63683164163/1610720924545*c_0101_4 - 350375039188/1610720924545, c_0011_5 + 42579581/185631085*c_0101_4^10 - 43984149/185631085*c_0101_4^9 - 206915514/185631085*c_0101_4^8 + 167906211/185631085*c_0101_4^7 + 12745435/37126217*c_0101_4^6 + 81746169/185631085*c_0101_4^5 - 196014879/185631085*c_0101_4^4 + 20774672/185631085*c_0101_4^3 + 95700063/185631085*c_0101_4^2 + 89018809/185631085*c_0101_4 + 12685866/37126217, c_0101_0 + 228671112648/1610720924545*c_0101_4^10 + 138067502089/1610720924545*c_0101_4^9 - 1948144331811/1610720924545*c_0101_4^8 - 373542166251/1610720924545*c_0101_4^7 + 4205850840906/1610720924545*c_0101_4^6 - 1437541240593/1610720924545*c_0101_4^5 - 2054666771693/1610720924545*c_0101_4^4 - 932365700918/1610720924545*c_0101_4^3 + 3467709991761/1610720924545*c_0101_4^2 + 259170673889/322144184909*c_0101_4 - 1033115596961/1610720924545, c_0101_1 + 169231833034/1610720924545*c_0101_4^10 - 449401776318/1610720924545*c_0101_4^9 - 306550643281/1610720924545*c_0101_4^8 + 1715342306178/1610720924545*c_0101_4^7 - 2002550127593/1610720924545*c_0101_4^6 + 995244393571/1610720924545*c_0101_4^5 - 745054430989/1610720924545*c_0101_4^4 + 2778725902039/1610720924545*c_0101_4^3 - 1818334671074/1610720924545*c_0101_4^2 - 76673424097/322144184909*c_0101_4 + 882253506138/1610720924545, c_0101_4^11 - 2*c_0101_4^10 - 42/11*c_0101_4^9 + 97/11*c_0101_4^8 - 31/11*c_0101_4^7 - 3/11*c_0101_4^6 - 6*c_0101_4^5 + 74/11*c_0101_4^4 + 38/11*c_0101_4^3 - 29/11*c_0101_4^2 + 3/11*c_0101_4 - 13/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB