Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 2480017151] 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' : 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_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: 16 Groebner basis: [ t + 7685289/927112*c_0101_6^15 - 226264919/927112*c_0101_6^13 - 220828629/463556*c_0101_6^11 + 226631719/927112*c_0101_6^9 + 696120227/927112*c_0101_6^7 - 78704773/231778*c_0101_6^5 - 37840985/927112*c_0101_6^3 + 5056593/927112*c_0101_6, c_0011_0 - 1, c_0011_3 - 132545/463556*c_0101_6^15 + 3998771/463556*c_0101_6^13 + 2384445/231778*c_0101_6^11 - 9202119/463556*c_0101_6^9 - 9260895/463556*c_0101_6^7 + 3275215/115889*c_0101_6^5 - 3680907/463556*c_0101_6^3 + 341827/463556*c_0101_6, c_0101_0 + 148227/463556*c_0101_6^15 - 4310829/463556*c_0101_6^13 - 5043977/231778*c_0101_6^11 + 1443485/463556*c_0101_6^9 + 15270241/463556*c_0101_6^7 - 424716/115889*c_0101_6^5 - 3366883/463556*c_0101_6^3 + 592067/463556*c_0101_6, c_0101_1 - 50613/463556*c_0101_6^14 + 1522591/463556*c_0101_6^12 + 982643/231778*c_0101_6^10 - 3724715/463556*c_0101_6^8 - 4741427/463556*c_0101_6^6 + 1066143/115889*c_0101_6^4 + 152013/463556*c_0101_6^2 - 11381/463556, c_0101_2 - 51819/463556*c_0101_6^14 + 1549361/463556*c_0101_6^12 + 1141017/231778*c_0101_6^10 - 2978849/463556*c_0101_6^8 - 4331453/463556*c_0101_6^6 + 1093006/115889*c_0101_6^4 - 28021/463556*c_0101_6^2 - 307587/463556, c_0101_5 - 79201/231778*c_0101_6^14 + 2338051/231778*c_0101_6^12 + 2178809/115889*c_0101_6^10 - 2424439/231778*c_0101_6^8 - 6398847/231778*c_0101_6^6 + 1836437/115889*c_0101_6^4 - 466947/231778*c_0101_6^2 + 7841/231778, c_0101_6^16 - 30*c_0101_6^14 - 41*c_0101_6^12 + 61*c_0101_6^10 + 74*c_0101_6^8 - 89*c_0101_6^6 + 19*c_0101_6^4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB