Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 795783747] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3133 geometric_solution 6.29424147 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 0 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 0 1 1 0 -1 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 0.605146229050 0.315825008650 3 2 4 0 0132 3012 0132 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701256330576 0.677812586345 1 3 0 4 1230 3201 0132 2310 0 0 0 0 0 1 -1 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 -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 0.701256330576 0.677812586345 1 5 2 6 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 1.665773385717 1.388819597418 2 5 6 1 3201 2310 3201 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665773385717 1.388819597418 6 3 6 4 3012 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429310111189 0.681893383121 4 5 3 5 2310 3201 0132 1230 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 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 0.429310111189 0.681893383121 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 323981179/3172976*c_0101_1*c_0101_5^7 + 558863319/1586488*c_0101_1*c_0101_5^6 + 12296323189/6345952*c_0101_1*c_0101_5^5 - 3410081921/396622*c_0101_1*c_0101_5^4 + 1472732857/198311*c_0101_1*c_0101_5^3 - 3960805817/6345952*c_0101_1*c_0101_5^2 - 2024818425/3172976*c_0101_1*c_0101_5 - 918685101/3172976*c_0101_1, c_0011_0 - 1, c_0011_1 - 259045/793244*c_0101_1*c_0101_5^7 - 460219/396622*c_0101_1*c_0101_5^6 - 10250019/1586488*c_0101_1*c_0101_5^5 + 10400343/396622*c_0101_1*c_0101_5^4 - 9626409/396622*c_0101_1*c_0101_5^3 + 14246259/1586488*c_0101_1*c_0101_5^2 - 545517/793244*c_0101_1*c_0101_5 + 132971/793244*c_0101_1, c_0011_2 - 259045/793244*c_0101_1*c_0101_5^7 - 460219/396622*c_0101_1*c_0101_5^6 - 10250019/1586488*c_0101_1*c_0101_5^5 + 10400343/396622*c_0101_1*c_0101_5^4 - 9626409/396622*c_0101_1*c_0101_5^3 + 14246259/1586488*c_0101_1*c_0101_5^2 - 545517/793244*c_0101_1*c_0101_5 + 132971/793244*c_0101_1, c_0011_4 + 33563/198311*c_0101_5^7 + 97542/198311*c_0101_5^6 + 1149181/396622*c_0101_5^5 - 3166690/198311*c_0101_5^4 + 4021282/198311*c_0101_5^3 - 2862023/396622*c_0101_5^2 + 149021/198311*c_0101_5 - 137857/198311, c_0101_1^2 + 21589/198311*c_0101_5^7 + 65053/198311*c_0101_5^6 + 727687/396622*c_0101_5^5 - 4139711/396622*c_0101_5^4 + 1970355/198311*c_0101_5^3 - 839463/396622*c_0101_5^2 - 264593/396622*c_0101_5 - 36939/198311, c_0101_2 + 57871/396622*c_0101_5^7 + 82179/198311*c_0101_5^6 + 1964033/793244*c_0101_5^5 - 2760116/198311*c_0101_5^4 + 3647350/198311*c_0101_5^3 - 6761989/793244*c_0101_5^2 - 316423/396622*c_0101_5 + 63037/396622, c_0101_5^8 + 3*c_0101_5^7 + 35/2*c_0101_5^6 - 185/2*c_0101_5^5 + 112*c_0101_5^4 - 91/2*c_0101_5^3 + 7/2*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB