Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 3170705810] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2593 geometric_solution 5.88418945 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 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 1 -2 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 0.080452931029 1.373733169847 0 0 5 4 0132 0213 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 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 0.820843359969 1.278347243650 4 0 6 6 0213 0132 3201 0132 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.166030282975 0.550125480131 5 4 0 4 2310 1302 0132 0321 0 0 0 0 0 0 -1 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 2 -1 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 -0.098928546216 1.094064741547 2 3 1 3 0213 0321 0132 2031 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 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570803816711 0.443908391735 5 5 3 1 1230 3012 3201 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 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 0.153731391961 0.778403955621 2 6 2 6 2310 2310 0132 3201 0 0 0 0 0 -1 1 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 1 -1 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 -1.059020675183 0.786583561987 ==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_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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_6'])})} 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_3, c_0011_4, c_0011_5, c_0011_6, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 164/45*c_1001_4^3 - 277/15*c_1001_4^2 + 62/15*c_1001_4 + 199/5, c_0011_0 - 1, c_0011_3 - 1/3*c_1001_4^3 + c_1001_4^2 + c_1001_4 - 2, c_0011_4 - 1/3*c_1001_4^3 + c_1001_4^2 + c_1001_4 - 1, c_0011_5 - 1/3*c_1001_4^3 + 4/3*c_1001_4^2 - 1, c_0011_6 + 1/3*c_1001_4^2 - 1, c_0101_6 - 1/3*c_1001_4^3 + 5/3*c_1001_4^2 - 2, c_1001_4^4 - 6*c_1001_4^3 + 6*c_1001_4^2 + 9*c_1001_4 - 9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 156339794/19125189*c_1001_4^10 - 53265635/6375063*c_1001_4^9 - 2153577148/19125189*c_1001_4^8 - 6875201939/19125189*c_1001_4^7 - 17648065799/19125189*c_1001_4^6 - 27537403037/19125189*c_1001_4^5 - 24827794594/19125189*c_1001_4^4 - 16444359356/19125189*c_1001_4^3 - 6591303044/19125189*c_1001_4^2 - 415785455/19125189*c_1001_4 - 931897681/19125189, c_0011_0 - 1, c_0011_3 + 169781/2125021*c_1001_4^10 - 748678/2125021*c_1001_4^9 - 937823/2125021*c_1001_4^8 - 1411559/2125021*c_1001_4^7 - 2540111/2125021*c_1001_4^6 + 9818902/2125021*c_1001_4^5 + 13407208/2125021*c_1001_4^4 + 5293423/2125021*c_1001_4^3 + 3704624/2125021*c_1001_4^2 - 2450564/2125021*c_1001_4 + 1342559/2125021, c_0011_4 + 5643767/23375231*c_1001_4^10 - 9135359/23375231*c_1001_4^9 - 72652028/23375231*c_1001_4^8 - 205531913/23375231*c_1001_4^7 - 46073468/2125021*c_1001_4^6 - 662901298/23375231*c_1001_4^5 - 440635247/23375231*c_1001_4^4 - 216483554/23375231*c_1001_4^3 - 3327325/2125021*c_1001_4^2 - 7763540/23375231*c_1001_4 - 22572323/23375231, c_0011_5 - 7804174/23375231*c_1001_4^10 + 15315532/23375231*c_1001_4^9 + 91887619/23375231*c_1001_4^8 + 260415575/23375231*c_1001_4^7 + 58654932/2125021*c_1001_4^6 + 799764385/23375231*c_1001_4^5 + 576711854/23375231*c_1001_4^4 + 378003005/23375231*c_1001_4^3 + 11154033/2125021*c_1001_4^2 + 50975333/23375231*c_1001_4 + 19909474/23375231, c_0011_6 - 6381706/23375231*c_1001_4^10 + 12252936/23375231*c_1001_4^9 + 77053908/23375231*c_1001_4^8 + 212998440/23375231*c_1001_4^7 + 47491676/2125021*c_1001_4^6 + 631598259/23375231*c_1001_4^5 + 388796948/23375231*c_1001_4^4 + 193170259/23375231*c_1001_4^3 - 21801/2125021*c_1001_4^2 - 437134/23375231*c_1001_4 + 16696224/23375231, c_0101_6 - 2950598/23375231*c_1001_4^10 + 7834140/23375231*c_1001_4^9 + 30448676/23375231*c_1001_4^8 + 75286641/23375231*c_1001_4^7 + 16161372/2125021*c_1001_4^6 + 141246381/23375231*c_1001_4^5 + 23376366/23375231*c_1001_4^4 + 9319665/23375231*c_1001_4^3 - 4647265/2125021*c_1001_4^2 - 15143490/23375231*c_1001_4 - 10577170/23375231, c_1001_4^11 - c_1001_4^10 - 14*c_1001_4^9 - 44*c_1001_4^8 - 111*c_1001_4^7 - 171*c_1001_4^6 - 145*c_1001_4^5 - 86*c_1001_4^4 - 36*c_1001_4^3 - 6*c_1001_4^2 - 7*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB