Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2261195396] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s400 geometric_solution 4.65035197 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 0 1 -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 1 0 -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 1.025949389584 0.541199681821 0 4 4 5 0132 0132 3201 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 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707453492605 0.264201370319 0 0 5 5 3201 0132 2310 1023 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 -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 0.784467118333 0.435863753177 5 3 3 0 0132 1230 3012 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984958508356 0.669704760665 1 1 4 4 2310 0132 1230 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 0 -1 1 0 0 -1 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 1.375149462345 0.617451495531 3 2 1 2 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.025949389584 0.541199681821 ==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' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 112261/179928*c_0110_2^8 - 22697/179928*c_0110_2^7 + 123197/179928*c_0110_2^6 - 51623/29988*c_0110_2^5 - 250555/59976*c_0110_2^4 + 47561/14994*c_0110_2^3 + 781835/179928*c_0110_2^2 - 120857/29988*c_0110_2 - 306739/44982, c_0011_0 - 1, c_0101_0 - 1/4*c_0110_2^8 - 1/4*c_0110_2^7 + 1/4*c_0110_2^6 - 1/2*c_0110_2^5 - 9/4*c_0110_2^4 + 11/4*c_0110_2^2 - 3/2*c_0110_2 - 4, c_0101_1 + 5/18*c_0110_2^8 - 1/9*c_0110_2^7 - 2/9*c_0110_2^6 + 7/6*c_0110_2^5 + 7/6*c_0110_2^4 - 11/6*c_0110_2^3 - 7/18*c_0110_2^2 + 5/2*c_0110_2 + 13/9, c_0101_3 - 11/12*c_0110_2^8 - 1/12*c_0110_2^7 + 13/12*c_0110_2^6 - 3*c_0110_2^5 - 21/4*c_0110_2^4 + 11/2*c_0110_2^3 + 61/12*c_0110_2^2 - 7*c_0110_2 - 20/3, c_0101_4 - 1/36*c_0110_2^8 + 1/36*c_0110_2^7 - 1/36*c_0110_2^6 - 1/4*c_0110_2^4 + 1/2*c_0110_2^3 + 11/36*c_0110_2^2 + 1/3*c_0110_2 - 1/9, c_0110_2^9 + c_0110_2^8 - c_0110_2^7 + 2*c_0110_2^6 + 9*c_0110_2^5 - 11*c_0110_2^3 + 2*c_0110_2^2 + 16*c_0110_2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB