Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 2084429915] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s093 geometric_solution 3.92021336 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 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 -1 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 0.703044553687 0.095433486624 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 1 -1 0 0 -1 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 0.481961502983 0.339983999694 3 1 4 1 0132 0132 0132 1023 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 0 1 -1 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.722876284578 3.090741804642 2 4 4 5 0132 3201 2310 0132 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 -1 0 1 0 -1 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 0.015699942538 0.579938365029 5 3 3 2 0132 3201 2310 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015699942538 0.579938365029 4 5 3 5 0132 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 1.527515916712 0.960575660492 ==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' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(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_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 4466/949*c_0101_3^7 - 29663/949*c_0101_3^6 - 71347/949*c_0101_3^5 - 83390/949*c_0101_3^4 - 23081/949*c_0101_3^3 + 35794/949*c_0101_3^2 + 36836/949*c_0101_3 + 17700/949, c_0011_0 - 1, c_0011_4 + 23/73*c_0101_3^7 + 106/73*c_0101_3^6 + 119/73*c_0101_3^5 + 20/73*c_0101_3^4 - 196/73*c_0101_3^3 - 20/73*c_0101_3^2 + 12/73*c_0101_3 - 4/73, c_0101_0 - 8/73*c_0101_3^7 - 21/73*c_0101_3^6 + 57/73*c_0101_3^5 + 193/73*c_0101_3^4 + 211/73*c_0101_3^3 - 120/73*c_0101_3^2 - 147/73*c_0101_3 - 24/73, c_0101_1 - 8/73*c_0101_3^7 - 21/73*c_0101_3^6 + 57/73*c_0101_3^5 + 193/73*c_0101_3^4 + 211/73*c_0101_3^3 - 47/73*c_0101_3^2 - 74/73*c_0101_3 - 24/73, c_0101_2 - 4/73*c_0101_3^7 - 47/73*c_0101_3^6 - 154/73*c_0101_3^5 - 159/73*c_0101_3^4 - 4/73*c_0101_3^3 + 232/73*c_0101_3^2 + 109/73*c_0101_3 - 12/73, c_0101_3^8 + 6*c_0101_3^7 + 12*c_0101_3^6 + 10*c_0101_3^5 - 4*c_0101_3^4 - 9*c_0101_3^3 - 4*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB