Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 206410045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2805 geometric_solution 6.03553746 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 1 0 -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 0.185103981742 1.598694856043 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -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 -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 0.286582257548 1.080117366912 3 0 4 5 0132 0132 2310 0132 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 -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 0.286582257548 1.080117366912 2 1 6 6 0132 0132 0132 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 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 -0.294735676803 0.400884702361 4 2 1 4 3012 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765555704191 0.601464668161 5 5 2 1 1302 2031 0132 0132 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 -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 0.631894846262 1.106427165567 3 6 6 3 3201 3201 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.640032294122 1.264958099452 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), '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_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_5'], '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' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], '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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 482724140089450/909084343*c_0101_2^13 - 913077463013561/909084343*c_0101_2^11 + 1066212511540995/909084343*c_0101_2^9 - 664354775725287/909084343*c_0101_2^7 + 120110398419130/909084343*c_0101_2^5 - 13052564964999/909084343*c_0101_2^3 + 496426570737/909084343*c_0101_2, c_0011_0 - 1, c_0011_4 + 3952970557725/909084343*c_0101_2^13 - 8244042432433/909084343*c_0101_2^11 + 10147622100603/909084343*c_0101_2^9 - 7068600733006/909084343*c_0101_2^7 + 1962048501563/909084343*c_0101_2^5 - 249394730634/909084343*c_0101_2^3 + 15446434581/909084343*c_0101_2, c_0011_5 + 85224231225/909084343*c_0101_2^13 - 115492486638/909084343*c_0101_2^11 + 103482356222/909084343*c_0101_2^9 - 16038550976/909084343*c_0101_2^7 - 43027564040/909084343*c_0101_2^5 + 11955906358/909084343*c_0101_2^3 - 3311912936/909084343*c_0101_2, c_0011_6 + 97082920900/909084343*c_0101_2^12 - 185191732882/909084343*c_0101_2^10 + 211618492548/909084343*c_0101_2^8 - 127585960997/909084343*c_0101_2^6 + 16583625733/909084343*c_0101_2^4 + 838655886/909084343*c_0101_2^2 + 363461381/909084343, c_0101_0 - 6671541042425/909084343*c_0101_2^12 + 12529175290814/909084343*c_0101_2^10 - 14555496898821/909084343*c_0101_2^8 + 8964445750398/909084343*c_0101_2^6 - 1515206394416/909084343*c_0101_2^4 + 146102035762/909084343*c_0101_2^2 - 3511585251/909084343, c_0101_1 - 1000950479200/909084343*c_0101_2^12 + 2119615104191/909084343*c_0101_2^10 - 2626545267924/909084343*c_0101_2^8 + 1853529575527/909084343*c_0101_2^6 - 532150823226/909084343*c_0101_2^4 + 65685404274/909084343*c_0101_2^2 - 3627188777/909084343, c_0101_2^14 - 3363/1225*c_0101_2^12 + 4692/1225*c_0101_2^10 - 4009/1225*c_0101_2^8 + 1758/1225*c_0101_2^6 - 12/49*c_0101_2^4 + 29/1225*c_0101_2^2 - 1/1225 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB