Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 1882320198] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2608 geometric_solution 5.89088089 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543177224930 0.289234350791 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 -1 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 1.022494591734 0.474525545406 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.559176022387 0.564759232788 5 4 2 1 0132 1023 0213 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 1 0 -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 0.559176022387 0.564759232788 3 4 4 2 1023 3201 2310 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 0 0 -1 0 1 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 0.637644282572 0.745153356224 3 6 2 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.352944983703 1.673770646847 6 5 6 5 2310 0132 3201 1023 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 0 0 0.492927211784 0.335232994156 ==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' : negation(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_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], '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_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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_0011_1']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 57/8*c_0101_4^7 - 49*c_0101_4^5 + 263/4*c_0101_4^3 + 91/8*c_0101_4, c_0011_0 - 1, c_0011_1 - 1/4*c_0101_4^6 + c_0101_4^4 + 3/2*c_0101_4^2 - 3/4, c_0011_3 + 1/4*c_0101_4^7 - 2*c_0101_4^5 + 7/2*c_0101_4^3 + 3/4*c_0101_4, c_0101_0 - 1/4*c_0101_4^7 + 2*c_0101_4^5 - 7/2*c_0101_4^3 - 3/4*c_0101_4, c_0101_1 + 3/2*c_0101_4^6 - 8*c_0101_4^4 + 3*c_0101_4^2 + 1/2, c_0101_4^8 - 7*c_0101_4^6 + 10*c_0101_4^4 + c_0101_4^2 - 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 282930/75031*c_0101_4*c_0101_6^7 + 2639170/75031*c_0101_4*c_0101_6^6 - 2846522/75031*c_0101_4*c_0101_6^5 + 1304707/75031*c_0101_4*c_0101_6^4 - 667303/75031*c_0101_4*c_0101_6^3 + 943130/75031*c_0101_4*c_0101_6^2 + 482320/75031*c_0101_4*c_0101_6 - 1445970/75031*c_0101_4, c_0011_0 - 1, c_0011_1 - 87/359*c_0101_6^7 + 926/359*c_0101_6^6 - 1943/359*c_0101_6^5 + 1620/359*c_0101_6^4 - 1333/359*c_0101_6^3 + 1020/359*c_0101_6^2 - 573/359*c_0101_6 - 39/359, c_0011_3 + 808/3949*c_0101_4*c_0101_6^7 - 6900/3949*c_0101_4*c_0101_6^6 + 2369/3949*c_0101_4*c_0101_6^5 + 1877/3949*c_0101_4*c_0101_6^4 - 7497/3949*c_0101_4*c_0101_6^3 + 6979/3949*c_0101_4*c_0101_6^2 - 8048/3949*c_0101_4*c_0101_6 + 3717/3949*c_0101_4, c_0101_0 + 2194/3949*c_0101_4*c_0101_6^7 - 22333/3949*c_0101_4*c_0101_6^6 + 41221/3949*c_0101_4*c_0101_6^5 - 45038/3949*c_0101_4*c_0101_6^4 + 31850/3949*c_0101_4*c_0101_6^3 - 25339/3949*c_0101_4*c_0101_6^2 + 13336/3949*c_0101_4*c_0101_6 + 934/3949*c_0101_4, c_0101_1 - 87/359*c_0101_6^7 + 926/359*c_0101_6^6 - 1943/359*c_0101_6^5 + 1620/359*c_0101_6^4 - 1333/359*c_0101_6^3 + 1020/359*c_0101_6^2 - 932/359*c_0101_6 + 320/359, c_0101_4^2 + 1381/3949*c_0101_6^7 - 13494/3949*c_0101_6^6 + 20192/3949*c_0101_6^5 - 18399/3949*c_0101_6^4 + 15890/3949*c_0101_6^3 - 17528/3949*c_0101_6^2 + 5716/3949*c_0101_6 - 1374/3949, c_0101_6^8 - 10*c_0101_6^7 + 17*c_0101_6^6 - 18*c_0101_6^5 + 16*c_0101_6^4 - 15*c_0101_6^3 + 9*c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB