Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 1275973772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2157 geometric_solution 5.63493512 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 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 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 0.460795446208 0.341011541557 2 0 3 0 0132 2310 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 1 -1 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 1.915057590146 0.834745490116 1 4 5 5 0132 0132 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460795446208 0.341011541557 5 4 4 1 1302 1302 2103 0132 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 -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 0.189492868978 0.622673778309 3 2 6 3 2103 0132 0132 2031 0 0 0 0 0 0 -1 1 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 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 0.911859282154 0.676480727803 6 3 2 2 1230 2031 2031 0132 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058596530092 1.060195277521 6 5 6 4 2310 3012 3201 0132 0 0 0 0 0 0 -1 1 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028266194548 0.761247242710 ==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_0'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0011_5, c_0101_1, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 39767/60416*c_0110_0^14 - 21585/60416*c_0110_0^13 + 10677/1888*c_0110_0^12 + 18825/7552*c_0110_0^11 - 1206125/60416*c_0110_0^10 - 112589/15104*c_0110_0^9 + 146711/3776*c_0110_0^8 + 74095/7552*c_0110_0^7 - 47985/1024*c_0110_0^6 - 5217/3776*c_0110_0^5 + 2521927/60416*c_0110_0^4 - 85235/7552*c_0110_0^3 - 1792397/60416*c_0110_0^2 + 127521/15104*c_0110_0 + 908717/60416, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 - 7/59*c_0110_0^14 + 4/59*c_0110_0^13 + 24/59*c_0110_0^12 - 12/59*c_0110_0^11 + 25/59*c_0110_0^10 - 4/59*c_0110_0^9 - 222/59*c_0110_0^8 + 86/59*c_0110_0^7 + 6*c_0110_0^6 - 204/59*c_0110_0^5 - 196/59*c_0110_0^4 + 235/59*c_0110_0^3 + 43/59*c_0110_0^2 - 151/59*c_0110_0 - 7/59, c_0011_5 - 28/59*c_0110_0^14 + 16/59*c_0110_0^13 + 214/59*c_0110_0^12 - 107/59*c_0110_0^11 - 667/59*c_0110_0^10 + 338/59*c_0110_0^9 + 1059/59*c_0110_0^8 - 659/59*c_0110_0^7 - 15*c_0110_0^6 + 895/59*c_0110_0^5 + 396/59*c_0110_0^4 - 830/59*c_0110_0^3 - 123/59*c_0110_0^2 + 340/59*c_0110_0 + 31/59, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_5 + 3/59*c_0110_0^14 + 32/59*c_0110_0^13 - 44/59*c_0110_0^12 - 214/59*c_0110_0^11 + 200/59*c_0110_0^10 + 558/59*c_0110_0^9 - 478/59*c_0110_0^8 - 669/59*c_0110_0^7 + 12*c_0110_0^6 + 315/59*c_0110_0^5 - 683/59*c_0110_0^4 - 8/59*c_0110_0^3 + 403/59*c_0110_0^2 - 28/59*c_0110_0 - 56/59, c_0110_0^15 - c_0110_0^14 - 8*c_0110_0^13 + 8*c_0110_0^12 + 27*c_0110_0^11 - 28*c_0110_0^10 - 48*c_0110_0^9 + 56*c_0110_0^8 + 45*c_0110_0^7 - 72*c_0110_0^6 - 17*c_0110_0^5 + 64*c_0110_0^4 - 5*c_0110_0^3 - 36*c_0110_0^2 + 5*c_0110_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB