Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 3153733533] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s157 geometric_solution 4.24014856 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 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 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 0.627340634885 0.563344120602 3 2 2 0 0132 3012 1230 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 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 1.117556228041 0.792423578278 1 3 0 1 1230 3201 0132 3012 0 0 0 0 0 -1 0 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 0 -1 1 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 1.117556228041 0.792423578278 1 4 2 4 0132 0132 2310 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 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 1.242861410011 0.583381723560 3 3 5 5 3201 0132 3201 0132 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 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 0 0 0.433130301925 0.291988037079 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.323210276945 0.404359934750 ==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_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_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_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_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_5'], 'c_0011_4' : d['c_0011_1'], '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_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), '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_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 55338/7403*c_0101_5^9 - 490784/7403*c_0101_5^8 + 1924465/7403*c_0101_5^7 - 4367145/7403*c_0101_5^6 + 5296501/7403*c_0101_5^5 - 2240257/7403*c_0101_5^4 - 1651805/7403*c_0101_5^3 + 2257901/7403*c_0101_5^2 - 869089/7403*c_0101_5 + 151999/7403, c_0011_0 - 1, c_0011_1 - 4467/7403*c_0101_5^9 + 41086/7403*c_0101_5^8 - 165798/7403*c_0101_5^7 + 383958/7403*c_0101_5^6 - 478606/7403*c_0101_5^5 + 200740/7403*c_0101_5^4 + 164941/7403*c_0101_5^3 - 210211/7403*c_0101_5^2 + 79515/7403*c_0101_5 - 14593/7403, c_0011_5 - 5339/7403*c_0101_5^9 + 48349/7403*c_0101_5^8 - 193107/7403*c_0101_5^7 + 445193/7403*c_0101_5^6 - 553647/7403*c_0101_5^5 + 243390/7403*c_0101_5^4 + 176226/7403*c_0101_5^3 - 252388/7403*c_0101_5^2 + 107740/7403*c_0101_5 - 21676/7403, c_0101_1 - 3272/7403*c_0101_5^9 + 28000/7403*c_0101_5^8 - 105256/7403*c_0101_5^7 + 227055/7403*c_0101_5^6 - 249383/7403*c_0101_5^5 + 72286/7403*c_0101_5^4 + 97154/7403*c_0101_5^3 - 92856/7403*c_0101_5^2 + 40504/7403*c_0101_5 - 12179/7403, c_0101_2 + 5259/7403*c_0101_5^9 - 47411/7403*c_0101_5^8 + 190262/7403*c_0101_5^7 - 444601/7403*c_0101_5^6 + 568564/7403*c_0101_5^5 - 284846/7403*c_0101_5^4 - 151895/7403*c_0101_5^3 + 266245/7403*c_0101_5^2 - 122877/7403*c_0101_5 + 26935/7403, c_0101_5^10 - 9*c_0101_5^9 + 36*c_0101_5^8 - 84*c_0101_5^7 + 108*c_0101_5^6 - 57*c_0101_5^5 - 21*c_0101_5^4 + 46*c_0101_5^3 - 26*c_0101_5^2 + 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB