Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 3684321274] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s166 geometric_solution 4.25351039 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 3201 2310 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.569149208137 1.310288182697 0 2 3 0 0132 0132 0132 1023 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 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 -0.042226900881 0.174184514175 3 1 4 5 2310 0132 0132 0132 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 -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 1.260260068666 1.467824299296 5 4 2 1 3012 3120 3201 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 0 0 0 -1 0 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 1.260260068666 1.467824299296 5 3 5 2 1230 3120 2103 0132 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 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 0.422588491235 0.445360957755 4 4 2 3 2103 3012 0132 1230 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 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 0 0 0 1.085869371743 0.837537555202 ==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' : 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_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' : negation(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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_3']), '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' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 640780/23921*c_0101_3^9 - 927704/23921*c_0101_3^8 - 2595659/23921*c_0101_3^7 - 655507/23921*c_0101_3^6 - 3489560/23921*c_0101_3^5 + 2638704/23921*c_0101_3^4 - 2451845/23921*c_0101_3^3 + 2090207/23921*c_0101_3^2 - 659394/23921*c_0101_3 + 377840/23921, c_0011_0 - 1, c_0011_3 + 804/1259*c_0101_3^9 + 452/1259*c_0101_3^8 + 2365/1259*c_0101_3^7 - 1188/1259*c_0101_3^6 + 5228/1259*c_0101_3^5 - 4596/1259*c_0101_3^4 + 7868/1259*c_0101_3^3 - 2308/1259*c_0101_3^2 + 2262/1259*c_0101_3 - 385/1259, c_0011_4 + 736/1259*c_0101_3^9 + 1892/1259*c_0101_3^8 + 3092/1259*c_0101_3^7 + 2013/1259*c_0101_3^6 + 514/1259*c_0101_3^5 - 186/1259*c_0101_3^4 - 4379/1259*c_0101_3^3 + 3631/1259*c_0101_3^2 - 1105/1259*c_0101_3 + 1107/1259, c_0011_5 - c_0101_3, c_0101_0 - 4560/1259*c_0101_3^9 - 5044/1259*c_0101_3^8 - 16420/1259*c_0101_3^7 + 255/1259*c_0101_3^6 - 26175/1259*c_0101_3^5 + 22008/1259*c_0101_3^4 - 27581/1259*c_0101_3^3 + 16341/1259*c_0101_3^2 - 7906/1259*c_0101_3 + 3405/1259, c_0101_3^10 + c_0101_3^9 + 13/4*c_0101_3^8 - c_0101_3^7 + 9/2*c_0101_3^6 - 13/2*c_0101_3^5 + 21/4*c_0101_3^4 - 17/4*c_0101_3^3 + 9/4*c_0101_3^2 - c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB