Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 2766485972] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2879 geometric_solution 6.09209952 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 -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 0.780576140852 0.508839428028 3 0 5 4 0132 0132 0132 0132 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 1 -1 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 0.293518225790 0.741850196373 4 5 0 3 3201 3201 0132 0132 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 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 0.293518225790 0.741850196373 1 3 2 3 0132 2310 0132 3201 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 1 -1 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 0.706213888189 0.709936636563 4 4 1 2 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014481269460 0.723062147301 6 6 2 1 0132 3201 2310 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 0 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.454355340440 1.613763196630 5 6 5 6 0132 1302 2310 2031 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 -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 -0.083630918186 0.779383211712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_2, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 6347/615*c_0101_5^6 - 42218/615*c_0101_5^5 + 105899/615*c_0101_5^4 - 109144/615*c_0101_5^3 - 12589/615*c_0101_5^2 + 116441/615*c_0101_5 - 18374/205, c_0011_0 - 1, c_0011_2 - c_0101_1*c_0101_5^6 + 7*c_0101_1*c_0101_5^5 - 18*c_0101_1*c_0101_5^4 + 18*c_0101_1*c_0101_5^3 + 4*c_0101_1*c_0101_5^2 - 21*c_0101_1*c_0101_5 + 8*c_0101_1, c_0011_4 - 8/5*c_0101_1*c_0101_5^6 + 52/5*c_0101_1*c_0101_5^5 - 126/5*c_0101_1*c_0101_5^4 + 121/5*c_0101_1*c_0101_5^3 + 26/5*c_0101_1*c_0101_5^2 - 134/5*c_0101_1*c_0101_5 + 53/5*c_0101_1, c_0011_5 - 3/5*c_0101_1*c_0101_5^6 + 17/5*c_0101_1*c_0101_5^5 - 36/5*c_0101_1*c_0101_5^4 + 31/5*c_0101_1*c_0101_5^3 + 11/5*c_0101_1*c_0101_5^2 - 39/5*c_0101_1*c_0101_5 + 13/5*c_0101_1, c_0101_1^2 + 6/5*c_0101_5^6 - 39/5*c_0101_5^5 + 92/5*c_0101_5^4 - 82/5*c_0101_5^3 - 32/5*c_0101_5^2 + 103/5*c_0101_5 - 31/5, c_0101_2 - 1/5*c_0101_5^6 + 9/5*c_0101_5^5 - 27/5*c_0101_5^4 + 32/5*c_0101_5^3 + 2/5*c_0101_5^2 - 38/5*c_0101_5 + 16/5, c_0101_5^7 - 7*c_0101_5^6 + 19*c_0101_5^5 - 23*c_0101_5^4 + 4*c_0101_5^3 + 19*c_0101_5^2 - 15*c_0101_5 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB