Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 408519882] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1294 geometric_solution 5.18637770 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.300573844638 0.347203725649 0 0 4 3 0132 2310 0132 0132 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 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 0.252076150390 1.008158092197 0 0 2 2 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.222420080573 1.729399787795 4 5 1 6 1230 0132 0132 0132 0 0 1 0 0 0 0 0 -1 0 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 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 1.228161437169 0.682089642044 6 3 5 1 1023 3012 1023 0132 0 0 0 1 0 0 0 0 0 0 1 -1 -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 -1 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 1.228161437169 0.682089642044 6 3 4 6 0213 0132 1023 2103 0 0 0 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 0 0 0 0 0 0 0 -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 0.727476296695 0.642885793355 5 4 3 5 0213 1023 0132 2103 0 0 0 1 0 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 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727476296695 0.642885793355 ==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_0110_5']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0110_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : 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' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 53021363/5286193*c_0110_5^8 + 90255461/5286193*c_0110_5^7 - 233421844/5286193*c_0110_5^6 + 186371855/5286193*c_0110_5^5 - 664186917/5286193*c_0110_5^4 + 1190289465/21144772*c_0110_5^3 - 72847564/5286193*c_0110_5^2 + 11431555/21144772*c_0110_5 + 254331637/21144772, c_0011_0 - 1, c_0011_3 - 1, c_0101_0 - 22564/480563*c_0110_5^8 - 95236/480563*c_0110_5^7 + 160968/480563*c_0110_5^6 - 607728/480563*c_0110_5^5 + 344108/480563*c_0110_5^4 - 1830979/480563*c_0110_5^3 + 987462/480563*c_0110_5^2 - 850450/480563*c_0110_5 - 152365/480563, c_0101_1 - 208880/480563*c_0110_5^8 + 472236/480563*c_0110_5^7 - 1036992/480563*c_0110_5^6 + 1215312/480563*c_0110_5^5 - 2872284/480563*c_0110_5^4 + 2776728/480563*c_0110_5^3 - 387553/480563*c_0110_5^2 + 772898/480563*c_0110_5 + 39646/480563, c_0101_2 - 813836/480563*c_0110_5^8 + 1400144/480563*c_0110_5^7 - 3688260/480563*c_0110_5^6 + 3026188/480563*c_0110_5^5 - 10584212/480563*c_0110_5^4 + 5038613/480563*c_0110_5^3 - 2298197/480563*c_0110_5^2 + 335278/480563*c_0110_5 + 639467/480563, c_0101_4 - 158584/480563*c_0110_5^8 + 108288/480563*c_0110_5^7 - 320684/480563*c_0110_5^6 - 244072/480563*c_0110_5^5 - 1004864/480563*c_0110_5^4 - 1326090/480563*c_0110_5^3 + 2102746/480563*c_0110_5^2 - 189323/480563*c_0110_5 + 450919/480563, c_0110_5^9 - 2*c_0110_5^8 + 5*c_0110_5^7 - 5*c_0110_5^6 + 14*c_0110_5^5 - 39/4*c_0110_5^4 + 17/4*c_0110_5^3 - 5/4*c_0110_5^2 - c_0110_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB