Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 1680209995] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s232 geometric_solution 4.38799602 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 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 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 1.119071501802 1.169102131933 0 4 5 2 0132 0132 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332289234312 1.138551414088 5 0 1 4 0213 0132 2031 2103 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 -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 0.566212395738 0.370707409117 0 4 4 0 3201 2031 3120 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 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 -0.427269904013 0.446371974345 3 1 3 2 1302 0132 3120 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572730095987 0.446371974345 2 5 5 1 0213 1230 3012 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 -1 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.108717104329 0.264175719295 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(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_1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_5'], '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_0'], '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_0110_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_4']), '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_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0110_4'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2083/696*c_0110_4^9 + 1585/232*c_0110_4^8 + 9517/696*c_0110_4^7 + 367/24*c_0110_4^6 + 5303/174*c_0110_4^5 + 24251/696*c_0110_4^4 + 30737/696*c_0110_4^3 + 23815/696*c_0110_4^2 + 14069/696*c_0110_4 + 7633/696, c_0011_0 - 1, c_0011_3 + 10/29*c_0110_4^9 + 31/29*c_0110_4^8 + 48/29*c_0110_4^7 + 2*c_0110_4^6 + 90/29*c_0110_4^5 + 160/29*c_0110_4^4 + 122/29*c_0110_4^3 + 104/29*c_0110_4^2 + 21/29*c_0110_4 + 17/29, c_0011_5 - 11/29*c_0110_4^9 - 8/29*c_0110_4^8 - 18/29*c_0110_4^7 - 70/29*c_0110_4^5 - 2/29*c_0110_4^4 - 53/29*c_0110_4^3 + 19/29*c_0110_4^2 - 26/29*c_0110_4 - 10/29, c_0101_0 + c_0110_4, c_0101_1 + 10/29*c_0110_4^9 + 31/29*c_0110_4^8 + 48/29*c_0110_4^7 + 2*c_0110_4^6 + 90/29*c_0110_4^5 + 160/29*c_0110_4^4 + 122/29*c_0110_4^3 + 133/29*c_0110_4^2 + 21/29*c_0110_4 + 17/29, c_0110_4^10 + 2*c_0110_4^9 + 4*c_0110_4^8 + 4*c_0110_4^7 + 9*c_0110_4^6 + 9*c_0110_4^5 + 12*c_0110_4^4 + 8*c_0110_4^3 + 4*c_0110_4^2 + 2*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB