Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 3819077573] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s138 geometric_solution 4.18682891 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.400170563767 0.176251792905 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.506900014706 0.745561544624 1 3 4 3 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -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 -1 0 1 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 -0.637200012430 1.551643950477 2 4 2 1 3201 1023 2310 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.637200012430 1.551643950477 3 5 5 2 1023 0132 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 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 0.247982915696 0.318555675830 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 1.866439627508 1.127978265869 ==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_1']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], '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_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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 9364/155*c_0101_5^11 - 11931/155*c_0101_5^10 - 6185/31*c_0101_5^9 - 45896/155*c_0101_5^8 + 351*c_0101_5^7 + 71529/155*c_0101_5^6 + 147738/155*c_0101_5^5 + 256006/155*c_0101_5^4 - 124622/155*c_0101_5^3 - 308967/155*c_0101_5^2 - 47764/155*c_0101_5 + 37313/155, c_0011_0 - 1, c_0011_1 - 563/2449*c_0101_5^11 + 41/2449*c_0101_5^10 - 1037/2449*c_0101_5^9 - 226/2449*c_0101_5^8 + 227/79*c_0101_5^7 + 61/2449*c_0101_5^6 + 5746/2449*c_0101_5^5 + 4453/2449*c_0101_5^4 - 27595/2449*c_0101_5^3 - 7167/2449*c_0101_5^2 + 13332/2449*c_0101_5 - 1283/2449, c_0011_3 - 3475/2449*c_0101_5^11 - 1513/2449*c_0101_5^10 - 9637/2449*c_0101_5^9 - 8146/2449*c_0101_5^8 + 949/79*c_0101_5^7 + 5753/2449*c_0101_5^6 + 49464/2449*c_0101_5^5 + 52619/2449*c_0101_5^4 - 98242/2449*c_0101_5^3 - 49709/2449*c_0101_5^2 + 20455/2449*c_0101_5 - 559/2449, c_0101_0 - 845/2449*c_0101_5^11 - 604/2449*c_0101_5^10 - 2583/2449*c_0101_5^9 - 2823/2449*c_0101_5^8 + 182/79*c_0101_5^7 + 2745/2449*c_0101_5^6 + 11221/2449*c_0101_5^5 + 16710/2449*c_0101_5^4 - 17275/2449*c_0101_5^3 - 16390/2449*c_0101_5^2 + 7282/2449*c_0101_5 + 1041/2449, c_0101_1 - 2019/2449*c_0101_5^11 - 736/2449*c_0101_5^10 - 5337/2449*c_0101_5^9 - 4186/2449*c_0101_5^8 + 588/79*c_0101_5^7 + 2907/2449*c_0101_5^6 + 27605/2449*c_0101_5^5 + 28536/2449*c_0101_5^4 - 64143/2449*c_0101_5^3 - 28438/2449*c_0101_5^2 + 15669/2449*c_0101_5 - 921/2449, c_0101_5^12 + c_0101_5^11 + 3*c_0101_5^10 + 4*c_0101_5^9 - 7*c_0101_5^8 - 6*c_0101_5^7 - 14*c_0101_5^6 - 23*c_0101_5^5 + 20*c_0101_5^4 + 29*c_0101_5^3 - 3*c_0101_5^2 - 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB