Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 1747579979] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s309 geometric_solution 4.47691626 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 1.848423527267 0.522492640386 0 2 3 0 3201 0132 0132 0132 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 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 0.506550266081 0.811861662368 4 1 3 3 0132 0132 1302 2031 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 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379388322519 0.423416629196 2 2 4 1 2031 1302 0132 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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379388322519 0.423416629196 2 5 5 3 0132 0132 3201 0132 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 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 0.506550266081 0.811861662368 4 4 5 5 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.848423527267 0.522492640386 ==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_0101_4']), 'c_1100_4' : d['c_0011_1'], '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' : d['c_0101_4'], '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], '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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], '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' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 16/3*c_0101_5^2 + 5/3*c_0101_5 - 47/3, c_0011_0 - 1, c_0011_1 + c_0101_5^2 - 1, c_0011_3 + c_0101_5 - 1, c_0101_0 - c_0101_5, c_0101_4 - 1, c_0101_5^3 - 3*c_0101_5 + 1 ], 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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 58770974839/17228187185*c_0101_5^11 + 592662414851/34456374370*c_0101_5^10 + 3942812098329/34456374370*c_0101_5^9 + 205532025459/6891274874*c_0101_5^8 - 3632617066233/17228187185*c_0101_5^7 + 4241640937383/34456374370*c_0101_5^6 + 7082555070257/34456374370*c_0101_5^5 - 1378809944639/3445637437*c_0101_5^4 + 2915126683093/6891274874*c_0101_5^3 - 8276838423399/34456374370*c_0101_5^2 + 554355816769/6891274874*c_0101_5 - 606790987277/34456374370, c_0011_0 - 1, c_0011_1 - 2627652022/17228187185*c_0101_5^11 + 12901644453/17228187185*c_0101_5^10 + 90792592982/17228187185*c_0101_5^9 + 30238659314/17228187185*c_0101_5^8 - 38188718581/3445637437*c_0101_5^7 + 62878492934/17228187185*c_0101_5^6 + 249506703756/17228187185*c_0101_5^5 - 278720924078/17228187185*c_0101_5^4 + 200613494922/17228187185*c_0101_5^3 - 75082939439/17228187185*c_0101_5^2 - 13677177251/17228187185*c_0101_5 + 16687709006/17228187185, c_0011_3 - 4306830976/17228187185*c_0101_5^11 + 19806828792/17228187185*c_0101_5^10 + 154074939418/17228187185*c_0101_5^9 + 20441589427/3445637437*c_0101_5^8 - 250616586677/17228187185*c_0101_5^7 + 20459331506/17228187185*c_0101_5^6 + 304565495024/17228187185*c_0101_5^5 - 75214201142/3445637437*c_0101_5^4 + 64763797334/3445637437*c_0101_5^3 - 93308837478/17228187185*c_0101_5^2 - 4225109780/3445637437*c_0101_5 + 408709691/17228187185, c_0101_0 - 683001884/3445637437*c_0101_5^11 + 13535227499/17228187185*c_0101_5^10 + 132105959886/17228187185*c_0101_5^9 + 159248696539/17228187185*c_0101_5^8 - 147711082556/17228187185*c_0101_5^7 - 120495108123/17228187185*c_0101_5^6 + 258940544558/17228187185*c_0101_5^5 - 92210428848/17228187185*c_0101_5^4 + 59001428642/17228187185*c_0101_5^3 + 25899647837/17228187185*c_0101_5^2 - 1218856261/17228187185*c_0101_5 - 20749998416/17228187185, c_0101_4 - 339700105/3445637437*c_0101_5^11 + 9281826734/17228187185*c_0101_5^10 + 54899351241/17228187185*c_0101_5^9 - 16250269556/17228187185*c_0101_5^8 - 166978091981/17228187185*c_0101_5^7 + 66681840457/17228187185*c_0101_5^6 + 169927217378/17228187185*c_0101_5^5 - 240405087943/17228187185*c_0101_5^4 + 168792374172/17228187185*c_0101_5^3 - 89899498123/17228187185*c_0101_5^2 + 1938261289/17228187185*c_0101_5 + 11037828244/17228187185, c_0101_5^12 - 5*c_0101_5^11 - 34*c_0101_5^10 - 9*c_0101_5^9 + 70*c_0101_5^8 - 29*c_0101_5^7 - 77*c_0101_5^6 + 118*c_0101_5^5 - 101*c_0101_5^4 + 42*c_0101_5^3 - 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB