Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 3229703398] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s083 geometric_solution 3.78426129 oriented_manifold CS_known -0.0000000000000001 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 1023 2031 1230 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474705834746 0.782482876935 4 4 3 4 1302 1023 0132 3012 0 0 0 0 0 0 -1 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 0 -1 1 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 0.474705834746 0.782482876935 ==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' : 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_0110_5'], 'c_1100_4' : d['c_0110_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), '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_0101_3']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), '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_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 203/181*c_0110_5^8 - 79/181*c_0110_5^7 + 1378/181*c_0110_5^6 + 71/181*c_0110_5^5 - 16/181*c_0110_5^4 - 4112/181*c_0110_5^3 - 2301/181*c_0110_5^2 + 5028/181*c_0110_5 + 2606/181, c_0011_0 - 1, c_0011_2 + 393/4163*c_0110_5^8 + 136/4163*c_0110_5^7 - 1662/4163*c_0110_5^6 + 1965/4163*c_0110_5^5 - 2857/4163*c_0110_5^4 + 4774/4163*c_0110_5^3 - 3249/4163*c_0110_5^2 - 2889/4163*c_0110_5 + 4440/4163, c_0011_4 + 1261/4163*c_0110_5^8 + 1591/4163*c_0110_5^7 - 5301/4163*c_0110_5^6 - 2021/4163*c_0110_5^5 - 7557/4163*c_0110_5^4 + 14280/4163*c_0110_5^3 + 11121/4163*c_0110_5^2 - 8666/4163*c_0110_5 - 1198/4163, c_0101_0 - 1848/4163*c_0110_5^8 - 2292/4163*c_0110_5^7 + 8419/4163*c_0110_5^6 + 3249/4163*c_0110_5^5 + 9335/4163*c_0110_5^4 - 19970/4163*c_0110_5^3 - 20791/4163*c_0110_5^2 + 16731/4163*c_0110_5 + 2066/4163, c_0101_3 - 257/4163*c_0110_5^8 + 303/4163*c_0110_5^7 + 2358/4163*c_0110_5^6 - 1285/4163*c_0110_5^5 - 335/4163*c_0110_5^4 - 7179/4163*c_0110_5^3 - 1943/4163*c_0110_5^2 + 9389/4163*c_0110_5 - 393/4163, c_0110_5^9 + c_0110_5^8 - 5*c_0110_5^7 - c_0110_5^6 - 4*c_0110_5^5 + 13*c_0110_5^4 + 10*c_0110_5^3 - 13*c_0110_5^2 - 2*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB