Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 408519737] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s333 geometric_solution 4.52370401 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 -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 0.520480750142 0.517191098667 3 2 2 0 0132 3012 2031 0132 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 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 0.712645286237 0.771589767264 1 3 0 1 1230 2310 0132 1302 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 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 0.712645286237 0.771589767264 1 4 4 2 0132 0132 1023 3201 0 0 0 0 0 0 1 -1 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 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 0.602736012440 0.569876093215 5 3 3 5 0132 0132 1023 1023 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 1.401248524091 0.404460152787 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 1 0 -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 1.604926861362 0.157165761563 ==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' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 7*c_0101_4^4 + 19*c_0101_4^3 + 23*c_0101_4^2 - 33*c_0101_4 - 12, c_0011_0 - 1, c_0011_1 - 2*c_0101_4^4 + 5*c_0101_4^3 + 8*c_0101_4^2 - 8*c_0101_4 - 5, c_0101_0 + c_0101_4^4 - 2*c_0101_4^3 - 5*c_0101_4^2 + 3*c_0101_4 + 3, c_0101_1 + 2*c_0101_4^4 - 5*c_0101_4^3 - 7*c_0101_4^2 + 7*c_0101_4 + 4, c_0101_4^5 - 2*c_0101_4^4 - 5*c_0101_4^3 + 2*c_0101_4^2 + 4*c_0101_4 + 1, c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 72*c_0101_5^6 + 477*c_0101_5^5 + 1045*c_0101_5^4 + 832*c_0101_5^3 - 381*c_0101_5^2 - 639*c_0101_5 - 179, c_0011_0 - 1, c_0011_1 + 8*c_0101_5^6 + 53*c_0101_5^5 + 116*c_0101_5^4 + 92*c_0101_5^3 - 43*c_0101_5^2 - 72*c_0101_5 - 20, c_0101_0 + c_0101_5^6 + 6*c_0101_5^5 + 11*c_0101_5^4 + 6*c_0101_5^3 - 7*c_0101_5^2 - 4*c_0101_5 - 1, c_0101_1 - 3*c_0101_5^6 - 19*c_0101_5^5 - 38*c_0101_5^4 - 24*c_0101_5^3 + 21*c_0101_5^2 + 19*c_0101_5 + 3, c_0101_4 - 4*c_0101_5^6 - 27*c_0101_5^5 - 61*c_0101_5^4 - 51*c_0101_5^3 + 20*c_0101_5^2 + 40*c_0101_5 + 12, c_0101_5^7 + 7*c_0101_5^6 + 17*c_0101_5^5 + 17*c_0101_5^4 - c_0101_5^3 - 11*c_0101_5^2 - 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB