Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 4240269511] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0110 geometric_solution 3.63478916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7.998207413494 1.898833978600 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410540964433 0.056401311889 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.252483238759 0.115377865905 2 2 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280943716156 0.922588329114 5 6 5 3 1302 0132 1230 0132 0 0 0 0 0 0 1 -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 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 0.996851096437 0.506616586996 6 4 3 4 2310 2031 0132 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 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 0.996851096437 0.506616586996 6 4 5 6 3201 0132 3201 2310 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 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202756685214 0.405172536386 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 41/18*c_0101_3^3 + 51/2*c_0101_3, c_0011_0 - 1, c_0011_2 - 1/3*c_0101_3^2, c_0011_4 + 1/9*c_0101_3^3 - 2/3*c_0101_3, c_0101_0 - 1/9*c_0101_3^3 + 2/3*c_0101_3, c_0101_1 - 1/3*c_0101_3^2 + 1, c_0101_3^4 - 12*c_0101_3^2 + 9, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7646/27*c_0101_3*c_0101_6^5 - 46552/27*c_0101_3*c_0101_6^4 + 225292/27*c_0101_3*c_0101_6^3 - 132818/27*c_0101_3*c_0101_6^2 - 127156/27*c_0101_3*c_0101_6 + 80617/27*c_0101_3, c_0011_0 - 1, c_0011_2 - 1/3*c_0101_6^5 - 20/9*c_0101_6^4 + 76/9*c_0101_6^3 - 5/3*c_0101_6^2 - 44/9*c_0101_6 + 10/9, c_0011_4 + 7/27*c_0101_3*c_0101_6^5 + 47/27*c_0101_3*c_0101_6^4 - 176/27*c_0101_3*c_0101_6^3 + 16/27*c_0101_3*c_0101_6^2 + 101/27*c_0101_3*c_0101_6 + 4/27*c_0101_3, c_0101_0 + 11/27*c_0101_3*c_0101_6^5 + 70/27*c_0101_3*c_0101_6^4 - 301/27*c_0101_3*c_0101_6^3 + 137/27*c_0101_3*c_0101_6^2 + 151/27*c_0101_3*c_0101_6 - 76/27*c_0101_3, c_0101_1 + 1/9*c_0101_6^5 + 7/9*c_0101_6^4 - 8/3*c_0101_6^3 - 11/9*c_0101_6^2 + 28/9*c_0101_6, c_0101_3^2 + 1/9*c_0101_6^4 + 7/9*c_0101_6^3 - 3*c_0101_6^2 + 10/9*c_0101_6 - 2/9, c_0101_6^6 + 6*c_0101_6^5 - 30*c_0101_6^4 + 20*c_0101_6^3 + 15*c_0101_6^2 - 12*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB