Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 2345277159] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3141 geometric_solution 6.29745013 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 -1 2 1 0 -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 1 -1 -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 0.594575880159 0.434024516446 0 5 3 5 0132 0132 1023 3120 0 0 0 0 0 -1 1 0 -1 0 1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.394247701720 1.224280405924 6 0 2 2 0132 0132 2031 1302 0 0 0 0 0 1 -1 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 0.766213739372 0.433184144941 5 6 1 0 3201 2310 1023 0132 0 0 0 0 0 0 -1 1 0 0 -1 1 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 1 -1 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 0.095310301733 1.092820764235 6 6 0 5 1230 3201 0132 1302 0 0 0 0 0 1 -2 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 -1 1 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 0.394247701720 1.224280405924 1 1 4 3 3120 0132 2031 2310 0 0 0 0 0 1 -1 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 -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 1.106103833357 1.331654279812 2 4 4 3 0132 3012 2310 3201 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.010995103445 0.559140639800 ==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' : negation(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_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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_6']), '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' : d['c_0101_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_6'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/18*c_0101_6^3 + 4/9*c_0101_6, c_0011_0 - 1, c_0011_3 + 1/2*c_0101_6^3 - 7/2*c_0101_6, c_0101_0 - 1/2*c_0101_6^3 + 7/2*c_0101_6, c_0101_1 + 1/2*c_0101_6^2 - 5/2, c_0101_2 + 1/2*c_0101_6^2 - 1/2, c_0101_5 - 2, c_0101_6^4 - 8*c_0101_6^2 + 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 84880886/18709817*c_0101_6^11 + 4086141/2672831*c_0101_6^9 + 7993543415/18709817*c_0101_6^7 - 16743392171/18709817*c_0101_6^5 + 9349568/19229*c_0101_6^3 - 245859483/18709817*c_0101_6, c_0011_0 - 1, c_0011_3 - 75168/381833*c_0101_6^11 - 54074/381833*c_0101_6^9 - 7107272/381833*c_0101_6^7 + 12102058/381833*c_0101_6^5 - 30267/2747*c_0101_6^3 - 569872/381833*c_0101_6, c_0101_0 - 25067/381833*c_0101_6^11 + 2520/381833*c_0101_6^9 - 2342050/381833*c_0101_6^7 + 6002021/381833*c_0101_6^5 - 24380/2747*c_0101_6^3 + 98244/381833*c_0101_6, c_0101_1 - 297/2747*c_0101_6^10 - 188/2747*c_0101_6^8 - 28074/2747*c_0101_6^6 + 50270/2747*c_0101_6^4 - 20924/2747*c_0101_6^2 - 815/2747, c_0101_2 - 3699/381833*c_0101_6^10 + 905/381833*c_0101_6^8 - 348650/381833*c_0101_6^6 + 936501/381833*c_0101_6^4 - 7164/2747*c_0101_6^2 + 171651/381833, c_0101_5 - 16216/381833*c_0101_6^10 - 28652/381833*c_0101_6^8 - 1560236/381833*c_0101_6^6 + 985509/381833*c_0101_6^4 + 3456/2747*c_0101_6^2 - 211529/381833, c_0101_6^12 + 94*c_0101_6^8 - 229*c_0101_6^6 + 168*c_0101_6^4 - 26*c_0101_6^2 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB