Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 357861413] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2673 geometric_solution 5.93821056 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0321 0132 0132 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 0.251506443619 0.292269910620 0 2 4 0 0132 1023 0132 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523498215302 0.586902942812 1 3 5 0 1023 2103 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.601676483264 1.050187799232 6 2 0 4 0132 2103 0132 1302 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 1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.476860209872 1.382021242384 5 5 3 1 2031 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153607750851 0.948905053120 4 6 4 2 1023 1302 1302 0132 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 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 0.315739852096 0.832454340432 3 6 6 5 0132 1230 3012 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 -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 0.569660397612 0.955821836822 ==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' : d['1'], 's_3_2' : negation(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' : d['1'], 's_2_3' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_0'])})} 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_3, c_0011_4, c_0101_1, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 28697/650*c_1001_0^11 + 3677/650*c_1001_0^10 + 194773/650*c_1001_0^9 - 3542/325*c_1001_0^8 - 233668/325*c_1001_0^7 + 69/130*c_1001_0^6 + 62659/130*c_1001_0^5 - 248/325*c_1001_0^4 + 358077/650*c_1001_0^3 + 9151/130*c_1001_0^2 - 440639/650*c_1001_0 - 81441/650, c_0011_0 - 1, c_0011_3 - c_1001_0^2 + 1, c_0011_4 - c_1001_0^11 + 6*c_1001_0^9 + c_1001_0^8 - 12*c_1001_0^7 - 3*c_1001_0^6 + 4*c_1001_0^5 + 2*c_1001_0^4 + 11*c_1001_0^3 + 3*c_1001_0^2 - 7*c_1001_0 - 3, c_0101_1 + 3*c_1001_0^11 - 17*c_1001_0^9 - c_1001_0^8 + 32*c_1001_0^7 + c_1001_0^6 - 9*c_1001_0^5 + c_1001_0^4 - 29*c_1001_0^3 - 4*c_1001_0^2 + 17*c_1001_0 + 5, c_0101_2 + 3*c_1001_0^11 - 17*c_1001_0^9 - c_1001_0^8 + 32*c_1001_0^7 + c_1001_0^6 - 9*c_1001_0^5 + c_1001_0^4 - 29*c_1001_0^3 - 4*c_1001_0^2 + 16*c_1001_0 + 5, c_0101_4 + 3*c_1001_0^11 - c_1001_0^10 - 17*c_1001_0^9 + 4*c_1001_0^8 + 32*c_1001_0^7 - 6*c_1001_0^6 - 7*c_1001_0^5 - c_1001_0^4 - 32*c_1001_0^3 + 4*c_1001_0^2 + 16*c_1001_0 + 4, c_1001_0^12 + c_1001_0^11 - 6*c_1001_0^10 - 6*c_1001_0^9 + 12*c_1001_0^8 + 11*c_1001_0^7 - 5*c_1001_0^6 - 2*c_1001_0^5 - 10*c_1001_0^4 - 12*c_1001_0^3 + 7*c_1001_0^2 + 7*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB