Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 3734979289] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s631 geometric_solution 5.11776819 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 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 -2 1 1 0 0 -1 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467063558962 0.266952054938 2 0 3 0 0132 2310 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 0 1 -1 0 0 -1 1 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919098957511 0.655443247151 1 4 4 5 0132 0132 3201 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774030200889 0.647096532368 5 4 4 1 3201 2310 1023 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 -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 0 0 0.774030200889 0.647096532368 2 2 3 3 2310 0132 1023 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.239548926100 0.635744254412 5 5 2 3 1302 2031 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 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509652241504 0.516326665043 ==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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(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_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1506989/801312*c_0101_4^8 + 874931/100164*c_0101_4^7 - 979247/267104*c_0101_4^6 - 30220331/801312*c_0101_4^5 + 14935765/267104*c_0101_4^4 + 26513681/200328*c_0101_4^3 - 2063077/25041*c_0101_4^2 - 562885/100164*c_0101_4 + 1923866/25041, c_0011_0 - 1, c_0011_1 + 9/7856*c_0101_4^8 - 7/982*c_0101_4^7 + 91/7856*c_0101_4^6 + 1081/7856*c_0101_4^5 - 625/7856*c_0101_4^4 - 117/491*c_0101_4^3 + 649/1964*c_0101_4^2 + 128/491*c_0101_4 + 137/491, c_0011_5 - 21/3928*c_0101_4^8 - 33/3928*c_0101_4^7 + 115/3928*c_0101_4^6 + 65/982*c_0101_4^5 - 171/1964*c_0101_4^4 - 1033/3928*c_0101_4^3 + 1063/1964*c_0101_4^2 + 221/491*c_0101_4 - 312/491, c_0101_0 - 1421/23568*c_0101_3*c_0101_4^8 - 1663/5892*c_0101_3*c_0101_4^7 + 739/7856*c_0101_3*c_0101_4^6 + 28559/23568*c_0101_3*c_0101_4^5 - 12133/7856*c_0101_3*c_0101_4^4 - 25781/5892*c_0101_3*c_0101_4^3 + 11333/5892*c_0101_3*c_0101_4^2 + 4807/2946*c_0101_3*c_0101_4 - 3682/1473*c_0101_3, c_0101_3^2 - 1695/7856*c_0101_4^8 - 473/1964*c_0101_4^7 + 13631/7856*c_0101_4^6 - 7843/7856*c_0101_4^5 - 48577/7856*c_0101_4^4 + 6263/982*c_0101_4^3 + 179/982*c_0101_4^2 - 1848/491*c_0101_4 + 876/491, c_0101_4^9 + 4*c_0101_4^8 - 5*c_0101_4^7 - 19*c_0101_4^6 + 43*c_0101_4^5 + 52*c_0101_4^4 - 92*c_0101_4^3 + 24*c_0101_4^2 + 48*c_0101_4 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB