Magma V2.19-8 Tue Aug 20 2013 16:14:59 on localhost [Seed = 3987501559] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s954 geometric_solution 5.99105213 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 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 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 0.429113174767 0.873808667244 0 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 0.431399959735 0.817927891244 4 0 5 3 3201 0132 3201 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.431399959735 0.817927891244 0 1 2 0 3201 1230 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553532306918 0.979374272286 4 1 4 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 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 -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 0.078631092467 1.093207498782 2 5 1 5 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603525290773 0.938829279490 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), '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_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 311/19*c_0101_1*c_0101_2^8 + 407/38*c_0101_1*c_0101_2^7 + 543/19*c_0101_1*c_0101_2^6 - 2723/76*c_0101_1*c_0101_2^5 - 400/19*c_0101_1*c_0101_2^4 + 1439/38*c_0101_1*c_0101_2^3 + 51/38*c_0101_1*c_0101_2^2 - 659/38*c_0101_1*c_0101_2 + 34/19*c_0101_1, c_0011_0 - 1, c_0011_3 - 4*c_0101_2^8 + 2*c_0101_2^7 + 8*c_0101_2^6 - 7*c_0101_2^5 - 8*c_0101_2^4 + 9*c_0101_2^3 + 4*c_0101_2^2 - 4*c_0101_2 - 1, c_0011_5 + 4*c_0101_1*c_0101_2^8 - 2*c_0101_1*c_0101_2^7 - 8*c_0101_1*c_0101_2^6 + 7*c_0101_1*c_0101_2^5 + 6*c_0101_1*c_0101_2^4 - 8*c_0101_1*c_0101_2^3 - 2*c_0101_1*c_0101_2^2 + 5/2*c_0101_1*c_0101_2, c_0101_0 + 2*c_0101_1*c_0101_2^8 - 5*c_0101_1*c_0101_2^7 + 13/2*c_0101_1*c_0101_2^5 - 3*c_0101_1*c_0101_2^4 - 4*c_0101_1*c_0101_2^3 + 3*c_0101_1*c_0101_2^2 + 1/2*c_0101_1*c_0101_2, c_0101_1^2 - 4*c_0101_2^7 + 4*c_0101_2^6 + 8*c_0101_2^5 - 12*c_0101_2^4 - 4*c_0101_2^3 + 12*c_0101_2^2 - 4, c_0101_2^9 - 1/2*c_0101_2^8 - 2*c_0101_2^7 + 7/4*c_0101_2^6 + 2*c_0101_2^5 - 9/4*c_0101_2^4 - c_0101_2^3 + 5/4*c_0101_2^2 + 1/4*c_0101_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB