Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 475889680] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s522 geometric_solution 4.92773649 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 0 1 -1 1 0 -1 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 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.379845781369 0.766054605883 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 0 0 0 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 -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 -0.827920789013 1.088721401249 3 4 1 5 1302 0132 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456141773977 0.495107137685 4 2 5 1 0132 2031 2310 0132 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 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 0.456141773977 0.495107137685 3 2 4 4 0132 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 0.478212530596 0.463052713690 5 3 2 5 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.993500878977 1.092478100717 ==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' : d['c_0011_5'], 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_2']})} 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_2, c_0011_5, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 96327413/11277026*c_0101_5^12 + 592921814/5638513*c_0101_5^11 + 6145202981/11277026*c_0101_5^10 + 16713522995/11277026*c_0101_5^9 + 24808239645/11277026*c_0101_5^8 + 20718149487/11277026*c_0101_5^7 + 8466492444/5638513*c_0101_5^6 + 22624051733/11277026*c_0101_5^5 + 17572394297/11277026*c_0101_5^4 + 4279810869/11277026*c_0101_5^3 + 930193674/5638513*c_0101_5^2 + 2392095293/11277026*c_0101_5 + 616561409/11277026, c_0011_0 - 1, c_0011_2 + 9618725/11277026*c_0101_5^12 + 106857629/11277026*c_0101_5^11 + 242605393/5638513*c_0101_5^10 + 1084603441/11277026*c_0101_5^9 + 581329191/5638513*c_0101_5^8 + 628687649/11277026*c_0101_5^7 + 855163593/11277026*c_0101_5^6 + 580663715/5638513*c_0101_5^5 + 309818203/11277026*c_0101_5^4 - 21617103/5638513*c_0101_5^3 + 77074600/5638513*c_0101_5^2 + 42825909/11277026*c_0101_5 - 5591944/5638513, c_0011_5 + 1746438/5638513*c_0101_5^12 + 35316105/11277026*c_0101_5^11 + 139504255/11277026*c_0101_5^10 + 119789274/5638513*c_0101_5^9 + 120434809/11277026*c_0101_5^8 - 5998670/5638513*c_0101_5^7 + 234719917/11277026*c_0101_5^6 + 174657073/11277026*c_0101_5^5 - 72776978/5638513*c_0101_5^4 + 35466521/11277026*c_0101_5^3 + 31488171/5638513*c_0101_5^2 - 11547296/5638513*c_0101_5 + 6041597/11277026, c_0101_1 - 1113469/11277026*c_0101_5^12 - 6542510/5638513*c_0101_5^11 - 63589649/11277026*c_0101_5^10 - 157022133/11277026*c_0101_5^9 - 201024055/11277026*c_0101_5^8 - 148836137/11277026*c_0101_5^7 - 85108669/5638513*c_0101_5^6 - 224262231/11277026*c_0101_5^5 - 96469653/11277026*c_0101_5^4 - 30446115/11277026*c_0101_5^3 - 23877582/5638513*c_0101_5^2 - 3840021/11277026*c_0101_5 - 1052451/11277026, c_0101_3 - 3105531/11277026*c_0101_5^12 - 17376100/5638513*c_0101_5^11 - 158820101/11277026*c_0101_5^10 - 356026223/11277026*c_0101_5^9 - 373579419/11277026*c_0101_5^8 - 168479535/11277026*c_0101_5^7 - 113163221/5638513*c_0101_5^6 - 362098995/11277026*c_0101_5^5 - 78651551/11277026*c_0101_5^4 + 73992731/11277026*c_0101_5^3 - 13241447/5638513*c_0101_5^2 - 24837145/11277026*c_0101_5 + 9534473/11277026, c_0101_5^13 + 12*c_0101_5^12 + 60*c_0101_5^11 + 154*c_0101_5^10 + 205*c_0101_5^9 + 138*c_0101_5^8 + 112*c_0101_5^7 + 182*c_0101_5^6 + 112*c_0101_5^5 - 9*c_0101_5^4 + 7*c_0101_5^3 + 19*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB