Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 1528481672] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1365 geometric_solution 5.22725405 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.233287843299 0.859218219228 0 0 3 2 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.794012971673 1.721956685513 4 3 1 5 0132 2031 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332400804241 0.419652197341 2 4 5 1 1302 3201 0132 0132 0 0 0 0 0 -1 1 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 1 -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 0.332400804241 0.419652197341 2 4 3 4 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612820965895 0.344502488026 6 6 2 3 0132 2310 0132 0132 0 0 0 0 0 1 0 -1 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 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 -1.450207735964 1.132635543049 5 6 6 5 0132 1230 3012 3201 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 0 0 0 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183171191146 0.527901583717 ==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_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_5']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_2, c_0011_5, c_0101_1, c_0101_2, c_0101_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1459275/310020832*c_1100_1^7 - 36103695/310020832*c_1100_1^6 + 5946137/19376302*c_1100_1^5 + 281765409/310020832*c_1100_1^4 - 1398763063/310020832*c_1100_1^3 + 321886533/77505208*c_1100_1^2 + 259831971/310020832*c_1100_1 + 70262675/310020832, c_0011_0 - 1, c_0011_2 + 12413/625042*c_1100_1^7 - 63529/625042*c_1100_1^6 - 9272/312521*c_1100_1^5 + 722147/625042*c_1100_1^4 - 1510903/625042*c_1100_1^3 + 183950/312521*c_1100_1^2 + 1530167/625042*c_1100_1 - 776549/625042, c_0011_5 + 12119/312521*c_1100_1^7 - 66959/312521*c_1100_1^6 + 23563/312521*c_1100_1^5 + 617654/312521*c_1100_1^4 - 1742597/312521*c_1100_1^3 + 1935689/312521*c_1100_1^2 - 844607/312521*c_1100_1 + 191013/312521, c_0101_1 - 37419/1250084*c_1100_1^7 + 188487/1250084*c_1100_1^6 + 4408/312521*c_1100_1^5 - 2013565/1250084*c_1100_1^4 + 4556683/1250084*c_1100_1^3 - 753480/312521*c_1100_1^2 - 189459/1250084*c_1100_1 + 77453/1250084, c_0101_2 - 602/28411*c_1100_1^7 + 2447/28411*c_1100_1^6 + 2339/28411*c_1100_1^5 - 27261/28411*c_1100_1^4 + 50506/28411*c_1100_1^3 - 34031/28411*c_1100_1^2 - 11116/28411*c_1100_1 + 26251/28411, c_0101_4 + 13280/312521*c_1100_1^7 - 53414/312521*c_1100_1^6 - 43858/312521*c_1100_1^5 + 631671/312521*c_1100_1^4 - 1178431/312521*c_1100_1^3 + 505684/312521*c_1100_1^2 + 739436/312521*c_1100_1 - 377100/312521, c_1100_1^8 - 6*c_1100_1^7 + 5*c_1100_1^6 + 51*c_1100_1^5 - 176*c_1100_1^4 + 233*c_1100_1^3 - 115*c_1100_1^2 - 8*c_1100_1 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB