Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 3650634927] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3047 geometric_solution 6.22076156 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095453772794 0.489103083050 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 0 1 -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 -1 1 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451470953474 1.349463820321 3 0 4 1 0132 0132 2310 3012 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 0.451470953474 1.349463820321 2 1 5 6 0132 0132 0132 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 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 -0.736924709907 0.662621924196 6 2 1 5 3012 3201 0132 3012 0 0 0 0 0 1 -1 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 0 -1 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 0.556053770545 0.670969463333 6 6 4 3 1230 3012 1230 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 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 0.280957967672 1.006983643553 5 5 3 4 1230 3012 0132 1230 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 -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 0.280957967672 1.006983643553 ==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' : negation(d['1']), 's_2_0' : negation(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_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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4*c_0110_4 + 21/2, c_0011_0 - 1, c_0011_4 + c_0011_6 + c_0110_4, c_0011_6^2 + c_0011_6*c_0110_4 - 2*c_0110_4, c_0101_0 - 1, c_0101_1 - c_0110_4 - 1, c_0101_2 - c_0110_4 - 1, c_0110_4^2 + 3*c_0110_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 46978681141/37934773*c_0110_4^7 + 101040811283/189673865*c_0110_4^6 + 3652835073517/189673865*c_0110_4^5 - 346278865676/9982835*c_0110_4^4 + 9035552743122/189673865*c_0110_4^\ 3 - 6660856749827/189673865*c_0110_4^2 + 3475669034112/189673865*c_0110_4 - 588044950662/189673865, c_0011_0 - 1, c_0011_4 + 196817698/37934773*c_0110_4^7 - 87314833/37934773*c_0110_4^6 - 3054868597/37934773*c_0110_4^5 + 292430524/1996567*c_0110_4^4 - 7720245160/37934773*c_0110_4^3 + 5754480822/37934773*c_0110_4^2 - 3056154486/37934773*c_0110_4 + 544268173/37934773, c_0011_6 + 196817698/37934773*c_0110_4^7 - 87314833/37934773*c_0110_4^6 - 3054868597/37934773*c_0110_4^5 + 292430524/1996567*c_0110_4^4 - 7720245160/37934773*c_0110_4^3 + 5754480822/37934773*c_0110_4^2 - 3056154486/37934773*c_0110_4 + 544268173/37934773, c_0101_0 + 290172722/37934773*c_0110_4^7 - 128867658/37934773*c_0110_4^6 - 4514510862/37934773*c_0110_4^5 + 431058895/1996567*c_0110_4^4 - 11218864100/37934773*c_0110_4^3 + 8304520517/37934773*c_0110_4^2 - 4298998962/37934773*c_0110_4 + 748739912/37934773, c_0101_1 + 6241172/1996567*c_0110_4^7 - 2540274/1996567*c_0110_4^6 - 97115108/1996567*c_0110_4^5 + 172291487/1996567*c_0110_4^4 - 236309028/1996567*c_0110_4^3 + 175548080/1996567*c_0110_4^2 - 91618608/1996567*c_0110_4 + 17503611/1996567, c_0101_2 - 75693037/37934773*c_0110_4^7 + 38275379/37934773*c_0110_4^6 + 1174668116/37934773*c_0110_4^5 - 116242091/1996567*c_0110_4^4 + 3071856467/37934773*c_0110_4^3 - 2367495730/37934773*c_0110_4^2 + 1285524487/37934773*c_0110_4 - 244351012/37934773, c_0110_4^8 - 5/7*c_0110_4^7 - 108/7*c_0110_4^6 + 227/7*c_0110_4^5 - 325/7*c_0110_4^4 + 275/7*c_0110_4^3 - 160/7*c_0110_4^2 + 47/7*c_0110_4 - 5/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB