Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 155751777] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s836 geometric_solution 5.41330726 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 2310 0132 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 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435248402077 0.485140164560 0 3 2 4 0132 0132 3012 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 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513396866219 1.231193586230 4 1 5 0 1023 1230 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 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 0.513396866219 1.231193586230 4 1 5 5 3012 0132 1302 3201 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567575229227 0.506295734451 5 2 1 3 2103 1023 0132 1230 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.198082941522 0.539284005981 3 3 4 2 2031 2310 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 0 -1 -1 1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567575229227 0.506295734451 ==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_0']), 'c_1100_4' : d['c_0110_3'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], '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_2, c_0011_5, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 2870/2453*c_0110_3^6 - 1183/2453*c_0110_3^5 - 5365/2453*c_0110_3^4 - 939/223*c_0110_3^3 + 1696/2453*c_0110_3^2 - 13336/2453*c_0110_3 + 2429/2453, c_0011_0 - 1, c_0011_2 - c_0110_3, c_0011_5 + 1045/223*c_0110_3^6 - 997/223*c_0110_3^5 + 1800/223*c_0110_3^4 + 379/223*c_0110_3^3 - 372/223*c_0110_3^2 + 409/223*c_0110_3 + 527/223, c_0101_1 - 445/223*c_0110_3^6 + 782/223*c_0110_3^5 - 1077/223*c_0110_3^4 + 482/223*c_0110_3^3 + 120/223*c_0110_3^2 - 283/223*c_0110_3 - 170/223, c_0101_2 - 1590/223*c_0110_3^6 + 1629/223*c_0110_3^5 - 2886/223*c_0110_3^4 + 71/223*c_0110_3^3 + 534/223*c_0110_3^2 - 490/223*c_0110_3 - 645/223, c_0110_3^7 - 3/5*c_0110_3^6 + 7/5*c_0110_3^5 + 4/5*c_0110_3^4 - 1/5*c_0110_3^3 + 1/5*c_0110_3^2 + 3/5*c_0110_3 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB