Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 2033771942] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1175 geometric_solution 5.04735702 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 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 2.275279551984 1.369571745035 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 -0.591255589731 0.164221045912 0 3 4 0 3201 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341913057322 0.525386402811 4 2 5 6 2310 0132 0132 0132 0 0 0 0 0 0 -1 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 -1 1 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 -0.294904705748 0.933453583013 5 6 3 2 2310 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.294904705748 0.933453583013 5 5 4 3 1230 3012 3201 0132 0 0 0 0 0 -1 0 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713964010866 1.347215264197 6 6 3 4 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085114846834 0.679086650329 ==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_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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_6']), '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_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3211/25*c_0101_1^6 - 4078/25*c_0101_1^5 - 15806/25*c_0101_1^4 + 20536/25*c_0101_1^3 + 3631/5*c_0101_1^2 - 5846/25*c_0101_1 - 4309/25, c_0011_0 - 1, c_0011_2 - c_0101_1^5 + 2*c_0101_1^4 + 4*c_0101_1^3 - 10*c_0101_1^2 - c_0101_1 + 4, c_0011_4 - 2*c_0101_1^6 + 4*c_0101_1^5 + 7*c_0101_1^4 - 19*c_0101_1^3 + 2*c_0101_1^2 + 6*c_0101_1 - 1, c_0011_5 - c_0101_1^5 + 2*c_0101_1^4 + 4*c_0101_1^3 - 9*c_0101_1^2 - c_0101_1 + 3, c_0011_6 + 3*c_0101_1^6 - 6*c_0101_1^5 - 11*c_0101_1^4 + 28*c_0101_1^3 - c_0101_1^2 - 9*c_0101_1 + 1, c_0101_0 + c_0101_1^6 - 2*c_0101_1^5 - 4*c_0101_1^4 + 10*c_0101_1^3 + c_0101_1^2 - 5*c_0101_1, c_0101_1^7 - 2*c_0101_1^6 - 4*c_0101_1^5 + 10*c_0101_1^4 + c_0101_1^3 - 6*c_0101_1^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 9075/64*c_0101_1^8 - 8429/32*c_0101_1^7 - 5593/32*c_0101_1^6 + 5977/8*c_0101_1^5 - 6117/32*c_0101_1^4 - 128723/64*c_0101_1^3 - 5385/8*c_0101_1^2 + 21509/32*c_0101_1 + 19055/64, c_0011_0 - 1, c_0011_2 + c_0101_1^8 - c_0101_1^6 - 6*c_0101_1^5 + 12*c_0101_1^4 + 5*c_0101_1^3 - 16*c_0101_1^2 - c_0101_1 + 5, c_0011_4 + 10*c_0101_1^8 + 6*c_0101_1^7 - c_0101_1^6 - 58*c_0101_1^5 + 84*c_0101_1^4 + 69*c_0101_1^3 - 70*c_0101_1^2 - 18*c_0101_1 + 14, c_0011_5 - 5*c_0101_1^8 - c_0101_1^7 + 3*c_0101_1^6 + 30*c_0101_1^5 - 53*c_0101_1^4 - 25*c_0101_1^3 + 57*c_0101_1^2 + 5*c_0101_1 - 14, c_0011_6 + 4*c_0101_1^8 + 3*c_0101_1^7 - 23*c_0101_1^5 + 30*c_0101_1^4 + 32*c_0101_1^3 - 25*c_0101_1^2 - 9*c_0101_1 + 5, c_0101_0 + c_0101_1^8 + c_0101_1^7 - 6*c_0101_1^5 + 6*c_0101_1^4 + 11*c_0101_1^3 - 5*c_0101_1^2 - 5*c_0101_1 + 1, c_0101_1^9 + c_0101_1^8 - 6*c_0101_1^6 + 6*c_0101_1^5 + 11*c_0101_1^4 - 5*c_0101_1^3 - 6*c_0101_1^2 + c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB