Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 2530675375] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0230 geometric_solution 4.19140097 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 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 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 1.740102168084 1.226486011729 0 3 2 2 0132 0132 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 0 0 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 0.165348887546 0.780299305059 3 0 1 1 3201 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.165348887546 0.780299305059 4 1 4 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 -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 0 0 0 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 0.568824946550 1.452400194274 3 3 5 5 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 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 0.258668448321 0.158673848371 4 6 4 6 2310 0132 0132 2310 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 0 -1 1 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 -3.001551239929 0.979108850799 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 -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 0.329525987658 0.026551997934 ==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_0101_2']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 66/29*c_0110_6^10 + 155/29*c_0110_6^9 - 29*c_0110_6^8 + 115/29*c_0110_6^7 + 3446/29*c_0110_6^6 - 4788/29*c_0110_6^5 + 201/29*c_0110_6^4 + 3291/29*c_0110_6^3 - 1565/29*c_0110_6^2 - 171/29*c_0110_6 + 32/29, c_0011_0 - 1, c_0011_5 + 164/29*c_0110_6^10 + 31/29*c_0110_6^9 - 74*c_0110_6^8 + 4721/29*c_0110_6^7 - 1799/29*c_0110_6^6 - 5238/29*c_0110_6^5 + 5759/29*c_0110_6^4 - 3/29*c_0110_6^3 - 2285/29*c_0110_6^2 + 888/29*c_0110_6 - 185/29, c_0101_0 + 82/29*c_0110_6^10 + 30/29*c_0110_6^9 - 37*c_0110_6^8 + 2172/29*c_0110_6^7 - 450/29*c_0110_6^6 - 2880/29*c_0110_6^5 + 2546/29*c_0110_6^4 + 448/29*c_0110_6^3 - 1157/29*c_0110_6^2 + 328/29*c_0110_6 - 78/29, c_0101_1 - 114/29*c_0110_6^10 - 12/29*c_0110_6^9 + 52*c_0110_6^8 - 3386/29*c_0110_6^7 + 1369/29*c_0110_6^6 + 3762/29*c_0110_6^5 - 4278/29*c_0110_6^4 + 105/29*c_0110_6^3 + 1675/29*c_0110_6^2 - 717/29*c_0110_6 + 153/29, c_0101_2 + 200/29*c_0110_6^10 + 47/29*c_0110_6^9 - 90*c_0110_6^8 + 5630/29*c_0110_6^7 - 2010/29*c_0110_6^6 - 6252/29*c_0110_6^5 + 6533/29*c_0110_6^4 + 176/29*c_0110_6^3 - 2498/29*c_0110_6^2 + 916/29*c_0110_6 - 244/29, c_0101_3 - 315/29*c_0110_6^10 - 53/29*c_0110_6^9 + 143*c_0110_6^8 - 9092/29*c_0110_6^7 + 3405/29*c_0110_6^6 + 10018/29*c_0110_6^5 - 10644/29*c_0110_6^4 - 254/29*c_0110_6^3 + 4075/29*c_0110_6^2 - 1492/29*c_0110_6 + 364/29, c_0110_6^11 + c_0110_6^10 - 13*c_0110_6^9 + 18*c_0110_6^8 + 13*c_0110_6^7 - 41*c_0110_6^6 + 8*c_0110_6^5 + 29*c_0110_6^4 - 13*c_0110_6^3 - 6*c_0110_6^2 + 3*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB