Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 374835908] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1335 geometric_solution 5.21316708 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.710620439479 0.806532728691 0 0 1 1 0132 2310 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 1.738279689819 0.152716674962 3 0 0 4 0132 0132 1023 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 0 -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 0.025860617696 0.284940646059 2 4 5 5 0132 2310 0132 0321 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 -1 0 1 -1 0 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 0.536914575911 1.291901868848 6 6 2 3 0132 1230 0132 3201 0 0 1 0 0 0 0 0 0 0 0 0 1 -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 1 -1 0 0 0 0 -2 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536914575911 1.291901868848 6 3 6 3 3120 0321 3012 0132 1 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 -1 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 0.725684386737 0.660046996913 4 5 4 5 0132 1230 3012 3120 0 0 0 1 0 0 -1 1 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725684386737 0.660046996913 ==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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 849418575/1245456754*c_0101_3^7 - 470854234/622728377*c_0101_3^6 - 7616819097/4981827016*c_0101_3^5 + 33518639745/4981827016*c_0101_3^4 + 55214479693/2490913508*c_0101_3^3 + 111562867939/4981827016*c_0101_3^2 + 4211842161/622728377*c_0101_3 - 8541152315/4981827016, c_0011_0 - 1, c_0011_4 - 2337475/30376994*c_0101_3^7 - 201142/15188497*c_0101_3^6 - 15959365/121507976*c_0101_3^5 + 117130389/121507976*c_0101_3^4 + 100455213/60753988*c_0101_3^3 + 103563175/121507976*c_0101_3^2 - 29707360/15188497*c_0101_3 - 132371527/121507976, c_0011_5 - 2337475/30376994*c_0101_3^7 - 201142/15188497*c_0101_3^6 - 15959365/121507976*c_0101_3^5 + 117130389/121507976*c_0101_3^4 + 100455213/60753988*c_0101_3^3 + 103563175/121507976*c_0101_3^2 - 14518863/15188497*c_0101_3 - 132371527/121507976, c_0101_0 - 89249/1786882*c_0101_3^7 - 89710/893441*c_0101_3^6 - 577495/7147528*c_0101_3^5 + 3185567/7147528*c_0101_3^4 + 8230599/3573764*c_0101_3^3 + 14972165/7147528*c_0101_3^2 - 299897/893441*c_0101_3 - 14383325/7147528, c_0101_1 - 761363/15188497*c_0101_3^7 + 2715248/15188497*c_0101_3^6 - 8885413/60753988*c_0101_3^5 + 55324473/60753988*c_0101_3^4 - 37561783/30376994*c_0101_3^3 - 156678257/60753988*c_0101_3^2 - 4926244/15188497*c_0101_3 + 147281849/60753988, c_0101_3^8 + c_0101_3^7 + 7/4*c_0101_3^6 - 11*c_0101_3^5 - 129/4*c_0101_3^4 - 107/4*c_0101_3^3 + 47/4*c_0101_3^2 + 101/4*c_0101_3 + 41/4, c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB