Magma V2.19-8 Tue Aug 20 2013 23:26:24 on localhost [Seed = 3280315109] Type ? for help. Type -D to quit. Loading file "K8a18__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K8a18 geometric_solution 5.23868410 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 0132 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 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 0 0 0 0 1.585710118803 1.409979433258 0 0 2 3 0132 3120 3120 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.062106966337 1.096825937667 4 5 1 0 0132 0132 3120 0132 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 0 0 0 0 -1 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396557793597 0.918009758302 5 1 0 4 3201 2310 0132 3012 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 -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 0 0 0 0 0.500000000000 0.760644307409 2 5 3 5 0132 2031 1230 3012 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 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 1.062106966337 1.096825937667 4 2 4 3 1302 0132 1230 2310 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 -1 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 -0.585710118803 1.409979433258 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(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' : 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_3'], 'c_1100_4' : d['c_0110_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : negation(d['c_0110_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0101_1, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 18/5*c_0110_3^7 + 116/5*c_0110_3^6 - 227/5*c_0110_3^5 + 3*c_0110_3^4 + 341/5*c_0110_3^3 - 162/5*c_0110_3^2 - 8/5*c_0110_3 - 171/5, c_0011_0 - 1, c_0011_2 + c_0110_3^3 - 2*c_0110_3^2, c_0011_3 - c_0110_3^5 + 4*c_0110_3^4 - 4*c_0110_3^3 - c_0110_3, c_0101_0 - c_0110_3^6 + 6*c_0110_3^5 - 11*c_0110_3^4 + 4*c_0110_3^3 + 2*c_0110_3^2 + 4*c_0110_3 + 1, c_0101_1 + c_0110_3^7 - 6*c_0110_3^6 + 12*c_0110_3^5 - 8*c_0110_3^4 + 2*c_0110_3^3 - 4*c_0110_3^2, c_0110_3^8 - 7*c_0110_3^7 + 17*c_0110_3^6 - 14*c_0110_3^5 - c_0110_3^4 - 2*c_0110_3^3 + 6*c_0110_3^2 + 4*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB