Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3263389422] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s224 geometric_solution 4.37722990 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.420253866777 0.442271494769 0 2 3 0 3201 0132 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 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 0.866100391360 0.315957486853 3 1 3 4 2103 0132 1302 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 0 1 0 0 1 -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 0.736538942077 0.592565279655 2 4 2 1 2031 0132 2103 0132 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 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 0.736538942077 0.592565279655 5 3 2 5 0132 0132 0132 1023 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 -1 1 -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 0.464316581054 0.206122366459 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 1 -1 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 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 0 0 0 1.406628515151 0.982085142034 ==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' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_3, c_0101_0, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 11839/32*c_1001_1^7 - 9541/8*c_1001_1^6 - 65149/32*c_1001_1^5 + 81259/16*c_1001_1^4 + 98613/16*c_1001_1^3 - 195721/16*c_1001_1^2 - 173707/32*c_1001_1 + 30491/4, c_0011_0 - 1, c_0011_1 + 49*c_1001_1^7 - 158*c_1001_1^6 - 539/2*c_1001_1^5 + 673*c_1001_1^4 + 1631/2*c_1001_1^3 - 3243/2*c_1001_1^2 - 1435/2*c_1001_1 + 1011, c_0011_3 + 118*c_1001_1^7 - 761/2*c_1001_1^6 - 649*c_1001_1^5 + 3241/2*c_1001_1^4 + 3929/2*c_1001_1^3 - 7807/2*c_1001_1^2 - 1729*c_1001_1 + 2433, c_0101_0 + 459/4*c_1001_1^7 - 370*c_1001_1^6 - 2525/4*c_1001_1^5 + 1576*c_1001_1^4 + 1911*c_1001_1^3 - 7593/2*c_1001_1^2 - 6733/4*c_1001_1 + 2367, c_0101_5 + 369/4*c_1001_1^7 - 595/2*c_1001_1^6 - 2029/4*c_1001_1^5 + 1267*c_1001_1^4 + 3071/2*c_1001_1^3 - 6105/2*c_1001_1^2 - 5403/4*c_1001_1 + 1903, c_1001_1^8 - 4*c_1001_1^7 - 3*c_1001_1^6 + 18*c_1001_1^5 + 6*c_1001_1^4 - 46*c_1001_1^3 + 11*c_1001_1^2 + 32*c_1001_1 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB