Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 3920131223] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3011 geometric_solution 6.18386789 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860403644176 0.797377600030 0 4 0 5 0132 0132 1230 0132 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 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 0.659789694405 0.652017970303 6 0 3 4 0132 0132 3120 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040353139691 0.918104812557 6 5 2 0 1023 0321 3120 0132 0 0 0 0 0 0 1 -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 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 0 0 0 1.374754577886 0.579445121472 6 1 2 5 2310 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797288107587 0.724349688602 6 4 1 3 3012 1302 0132 0321 0 0 0 0 0 0 0 0 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 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 1.085408210237 0.771625851670 2 3 4 5 0132 1023 3201 1230 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 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 0.863452080097 0.567342399848 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], '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_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_1']), '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_0101_6'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1385/7688*c_0101_3*c_1001_0^6 + 1387/3844*c_0101_3*c_1001_0^5 + 7021/30752*c_0101_3*c_1001_0^4 + 12375/30752*c_0101_3*c_1001_0^3 + 1053/961*c_0101_3*c_1001_0^2 + 10017/7688*c_0101_3*c_1001_0 + 2297/3844*c_0101_3, c_0011_0 - 1, c_0011_5 - 5/62*c_0101_3*c_1001_0^6 - 4/31*c_0101_3*c_1001_0^5 + 23/248*c_0101_3*c_1001_0^4 + 3/248*c_0101_3*c_1001_0^3 - 39/124*c_0101_3*c_1001_0^2 - 29/62*c_0101_3*c_1001_0 + 17/31*c_0101_3, c_0101_0 + 1/4*c_1001_0^6 + 1/8*c_1001_0^5 - 3/8*c_1001_0^4 + 3/4*c_1001_0^3 + 3/4*c_1001_0^2 - c_1001_0 - 1, c_0101_1 - 17/124*c_0101_3*c_1001_0^6 - 11/248*c_0101_3*c_1001_0^5 + 49/124*c_0101_3*c_1001_0^4 - 29/248*c_0101_3*c_1001_0^3 - 22/31*c_0101_3*c_1001_0^2 + 11/31*c_0101_3*c_1001_0 + 32/31*c_0101_3, c_0101_3^2 - 5/8*c_1001_0^6 - 7/16*c_1001_0^5 + 9/8*c_1001_0^4 - 5/16*c_1001_0^3 - 7/2*c_1001_0^2 + 3/4*c_1001_0 + 9/2, c_0101_6 - 1/4*c_1001_0^5 + 3/8*c_1001_0^4 + 1/8*c_1001_0^3 - 3/4*c_1001_0^2 + 1, c_1001_0^7 + 3/2*c_1001_0^6 - c_1001_0^5 - 1/2*c_1001_0^4 + 5*c_1001_0^3 + 2*c_1001_0^2 - 8*c_1001_0 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB