Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 3153733324] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3079 geometric_solution 6.24260990 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 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 0 1 -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 -0.298731299988 0.397693497341 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503508910798 1.391920582725 4 3 1 5 0132 2031 0132 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 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 0.554127414995 0.483291511787 2 6 5 1 1302 0132 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 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 0.554127414995 0.483291511787 2 6 6 6 0132 1023 1230 1302 1 0 0 0 0 0 -1 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 -1 0 1 0 0 1 -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 0.572803522587 0.633070218225 3 5 2 5 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416689008493 1.240894166744 4 3 4 4 1023 0132 2031 3012 0 1 0 0 0 0 0 0 0 0 -1 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 0 0 0 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572803522587 0.633070218225 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], '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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 9498323/3538675*c_0101_4^6 + 357126/505525*c_0101_4^5 - 57522701/3538675*c_0101_4^4 - 22971908/3538675*c_0101_4^3 - 230634328/3538675*c_0101_4^2 - 528257924/3538675*c_0101_4 - 237798179/3538675, c_0011_0 - 1, c_0011_2 - 3380/20221*c_0101_4^6 + 1175/20221*c_0101_4^5 - 19821/20221*c_0101_4^4 - 6480/20221*c_0101_4^3 - 77222/20221*c_0101_4^2 - 169374/20221*c_0101_4 - 54723/20221, c_0011_5 + 4652/20221*c_0101_4^6 - 3053/20221*c_0101_4^5 + 30798/20221*c_0101_4^4 - 1491/20221*c_0101_4^3 + 122412/20221*c_0101_4^2 + 214521/20221*c_0101_4 + 67085/20221, c_0101_0 + 3380/20221*c_0101_4^6 - 1175/20221*c_0101_4^5 + 19821/20221*c_0101_4^4 + 6480/20221*c_0101_4^3 + 77222/20221*c_0101_4^2 + 189595/20221*c_0101_4 + 54723/20221, c_0101_1 + 3637/20221*c_0101_4^6 - 696/20221*c_0101_4^5 + 21705/20221*c_0101_4^4 + 12357/20221*c_0101_4^3 + 81933/20221*c_0101_4^2 + 215647/20221*c_0101_4 + 74612/20221, c_0101_4^7 + 6*c_0101_4^5 + 4*c_0101_4^4 + 25*c_0101_4^3 + 62*c_0101_4^2 + 40*c_0101_4 + 7, c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB