Magma V2.19-8 Tue Aug 20 2013 23:26:23 on localhost [Seed = 1064918566] Type ? for help. Type -D to quit. Loading file "K8a17__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K8a17 geometric_solution 5.50048642 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 1230 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 -1 0 0 0 0 0 -1 -7 0 8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538807250799 1.075526068049 0 4 5 3 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627656292742 0.743244198804 0 0 5 4 3012 0132 2310 1302 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 -1 1 0 0 0 0 0 0 1 0 -1 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336770995727 0.785367908526 3 3 1 0 1230 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270381169000 0.520655880102 5 1 2 5 0321 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508106173774 0.368085306581 4 2 4 1 0321 3201 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.327004938689 1.351922223780 ==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' : 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' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], '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_0101_2']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0101_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_3, c_0011_5, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 5493727/221911545*c_0110_2^8 - 12555362/221911545*c_0110_2^7 + 25956386/221911545*c_0110_2^6 - 102744673/221911545*c_0110_2^5 + 140999698/221911545*c_0110_2^4 - 18628246/11679555*c_0110_2^3 + 171482607/73970515*c_0110_2^2 - 796983767/221911545*c_0110_2 + 532061263/221911545, c_0011_0 - 1, c_0011_3 + 51981/778637*c_0110_2^8 - 214166/778637*c_0110_2^7 + 296559/778637*c_0110_2^6 - 845131/778637*c_0110_2^5 + 2254784/778637*c_0110_2^4 - 3617058/778637*c_0110_2^3 + 6040194/778637*c_0110_2^2 - 5559012/778637*c_0110_2 + 6663729/778637, c_0011_5 + 10036/778637*c_0110_2^8 - 24842/778637*c_0110_2^7 + 8724/778637*c_0110_2^6 - 122651/778637*c_0110_2^5 + 234805/778637*c_0110_2^4 - 257283/778637*c_0110_2^3 + 882716/778637*c_0110_2^2 - 288488/778637*c_0110_2 + 1211299/778637, c_0101_2 + 39648/778637*c_0110_2^8 + 17926/778637*c_0110_2^7 - 26982/778637*c_0110_2^6 - 411613/778637*c_0110_2^5 - 394733/778637*c_0110_2^4 - 782422/778637*c_0110_2^3 - 1647297/778637*c_0110_2^2 - 872804/778637*c_0110_2 - 3031452/778637, c_0101_3 - 30592/778637*c_0110_2^8 - 24515/778637*c_0110_2^7 + 26475/778637*c_0110_2^6 + 275491/778637*c_0110_2^5 + 461682/778637*c_0110_2^4 + 723741/778637*c_0110_2^3 + 1849831/778637*c_0110_2^2 + 1215162/778637*c_0110_2 + 2846189/778637, c_0110_2^9 - c_0110_2^8 + 3*c_0110_2^7 - 14*c_0110_2^6 + 9*c_0110_2^5 - 57*c_0110_2^4 + 23*c_0110_2^3 - 116*c_0110_2^2 + 14*c_0110_2 - 95 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB