Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 3263389412] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s082 geometric_solution 3.78426129 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 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 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 3.484728060789 1.197100036350 0 1 1 0 0132 3201 2310 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 -0.513845646046 0.085799319053 0 3 3 0 3201 0132 3201 0132 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 1 0 -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 -0.202783621697 0.447145301100 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 0 -1 1 -1 0 0 1 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 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 -0.426334970917 1.042012097441 5 5 5 3 1230 1023 2031 0132 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 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 0.433271704953 0.934168392909 4 4 3 4 1023 3012 0132 1302 0 0 0 0 0 0 -1 1 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 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 0.433271704953 0.934168392909 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_0101_4'], 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), '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_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 10377/511*c_0101_4^8 - 98293/511*c_0101_4^7 - 325972/511*c_0101_4^6 - 387049/511*c_0101_4^5 - 41726/511*c_0101_4^4 + 25654/511*c_0101_4^3 - 97241/511*c_0101_4^2 + 5944/511*c_0101_4 + 27648/511, c_0011_0 - 1, c_0011_2 - 571/511*c_0101_4^8 - 744/73*c_0101_4^7 - 16194/511*c_0101_4^6 - 16375/511*c_0101_4^5 + 1179/511*c_0101_4^4 - 1198/511*c_0101_4^3 - 5197/511*c_0101_4^2 + 1503/511*c_0101_4 + 852/511, c_0011_4 + 69/511*c_0101_4^8 + 111/73*c_0101_4^7 + 3242/511*c_0101_4^6 + 5673/511*c_0101_4^5 + 2911/511*c_0101_4^4 - 513/511*c_0101_4^3 + 1863/511*c_0101_4^2 + 801/511*c_0101_4 - 571/511, c_0101_0 - 78/73*c_0101_4^8 - 726/73*c_0101_4^7 - 2335/73*c_0101_4^6 - 2563/73*c_0101_4^5 + 7/73*c_0101_4^4 + 180/73*c_0101_4^3 - 573/73*c_0101_4^2 + 107/73*c_0101_4 + 144/73, c_0101_1 + 393/511*c_0101_4^8 + 537/73*c_0101_4^7 + 12711/511*c_0101_4^6 + 15915/511*c_0101_4^5 + 2983/511*c_0101_4^4 - 1300/511*c_0101_4^3 + 3457/511*c_0101_4^2 + 452/511*c_0101_4 - 1186/511, c_0101_4^9 + 9*c_0101_4^8 + 27*c_0101_4^7 + 23*c_0101_4^6 - 12*c_0101_4^5 - 3*c_0101_4^4 + 10*c_0101_4^3 - 5*c_0101_4^2 - 2*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB