Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 88381805] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s835 geometric_solution 5.41268490 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 3012 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 -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 0.727853728013 1.162220170946 0 4 0 5 0132 0132 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 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 0.577868931092 0.431775116434 5 0 2 2 3012 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.194538016333 1.309145547998 5 5 4 0 0132 2103 3120 0132 0 0 0 0 0 1 0 -1 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 0 1 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 0.470041264269 0.389456383899 4 1 3 4 3201 0132 3120 2310 0 0 0 0 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 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 0.362564492454 0.667214341109 3 3 1 2 0132 2103 0132 1230 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 -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 0.888943753379 0.747354134593 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_0101_1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 7356/61*c_0101_4^13 + 46229/61*c_0101_4^12 - 114477/61*c_0101_4^11 - 156908/61*c_0101_4^10 + 337916/61*c_0101_4^9 + 243306/61*c_0101_4^8 - 413782/61*c_0101_4^7 - 273839/61*c_0101_4^6 + 278135/61*c_0101_4^5 + 187004/61*c_0101_4^4 - 104159/61*c_0101_4^3 - 70749/61*c_0101_4^2 + 18610/61*c_0101_4 + 11738/61, c_0011_0 - 1, c_0011_3 + c_0101_4^13 + 7*c_0101_4^12 - 11*c_0101_4^11 - 32*c_0101_4^10 + 30*c_0101_4^9 + 64*c_0101_4^8 - 31*c_0101_4^7 - 74*c_0101_4^6 + 10*c_0101_4^5 + 49*c_0101_4^4 + 4*c_0101_4^3 - 18*c_0101_4^2 - 3*c_0101_4 + 3, c_0101_0 - 398/61*c_0101_4^13 - 2615/61*c_0101_4^12 + 5601/61*c_0101_4^11 + 11001/61*c_0101_4^10 - 17872/61*c_0101_4^9 - 20279/61*c_0101_4^8 + 24078/61*c_0101_4^7 + 23094/61*c_0101_4^6 - 16563/61*c_0101_4^5 - 16220/61*c_0101_4^4 + 6142/61*c_0101_4^3 + 6341/61*c_0101_4^2 - 1055/61*c_0101_4 - 1094/61, c_0101_1 - 748/61*c_0101_4^13 - 4754/61*c_0101_4^12 + 11310/61*c_0101_4^11 + 16816/61*c_0101_4^10 - 33214/61*c_0101_4^9 - 27433/61*c_0101_4^8 + 40465/61*c_0101_4^7 + 31311/61*c_0101_4^6 - 26795/61*c_0101_4^5 - 21408/61*c_0101_4^4 + 9720/61*c_0101_4^3 + 8203/61*c_0101_4^2 - 1656/61*c_0101_4 - 1401/61, c_0101_2 - 923/61*c_0101_4^13 - 6037/61*c_0101_4^12 + 12914/61*c_0101_4^11 + 23475/61*c_0101_4^10 - 38628/61*c_0101_4^9 - 40404/61*c_0101_4^8 + 47835/61*c_0101_4^7 + 44295/61*c_0101_4^6 - 30752/61*c_0101_4^5 - 29309/61*c_0101_4^4 + 11021/61*c_0101_4^3 + 10842/61*c_0101_4^2 - 1865/61*c_0101_4 - 1768/61, c_0101_4^14 + 7*c_0101_4^13 - 11*c_0101_4^12 - 32*c_0101_4^11 + 30*c_0101_4^10 + 64*c_0101_4^9 - 31*c_0101_4^8 - 74*c_0101_4^7 + 10*c_0101_4^6 + 49*c_0101_4^5 + 4*c_0101_4^4 - 18*c_0101_4^3 - 4*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB