Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 2033771606] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2543 geometric_solution 5.85424272 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197865804980 0.860234891378 0 3 5 2 0132 3012 0132 1230 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579818320706 0.621816091656 1 0 6 6 3012 0132 3201 0132 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 1 -1 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.042890347779 0.794989543984 1 4 5 0 1230 3120 0321 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 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 -0.634248031656 0.410622097943 6 3 0 5 3012 3120 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.069606337749 0.952814825910 6 4 3 1 1023 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478727453162 0.464354214666 2 5 2 4 2310 1023 0132 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019676908486 1.680309228999 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(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_5']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_1001_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), '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_4'], 'c_0011_6' : d['c_0011_5'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_6'])})} 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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2908385/56866*c_1001_5^8 - 34671141/454928*c_1001_5^7 - 22372563/227464*c_1001_5^6 - 103407267/454928*c_1001_5^5 - 9300037/56866*c_1001_5^4 - 4893741/28433*c_1001_5^3 - 27011683/227464*c_1001_5^2 - 5324583/113732*c_1001_5 + 497823/227464, c_0011_0 - 1, c_0011_3 + c_1001_5, c_0011_4 + 104108/28433*c_1001_5^8 + 317975/56866*c_1001_5^7 + 220625/28433*c_1001_5^6 + 939959/56866*c_1001_5^5 + 348935/28433*c_1001_5^4 + 403053/28433*c_1001_5^3 + 240796/28433*c_1001_5^2 + 125123/28433*c_1001_5 + 18348/28433, c_0011_5 + 19024/28433*c_1001_5^8 + 77146/28433*c_1001_5^7 + 80477/28433*c_1001_5^6 + 158548/28433*c_1001_5^5 + 259649/28433*c_1001_5^4 + 116960/28433*c_1001_5^3 + 198345/28433*c_1001_5^2 + 65122/28433*c_1001_5 + 19888/28433, c_0101_1 + 80592/28433*c_1001_5^8 + 56882/28433*c_1001_5^7 + 108322/28433*c_1001_5^6 + 314492/28433*c_1001_5^5 + 67715/28433*c_1001_5^4 + 271748/28433*c_1001_5^3 + 85119/28433*c_1001_5^2 + 64006/28433*c_1001_5 + 3975/28433, c_0101_6 + 40772/28433*c_1001_5^8 + 176005/56866*c_1001_5^7 + 107690/28433*c_1001_5^6 + 472339/56866*c_1001_5^5 + 255999/28433*c_1001_5^4 + 200210/28433*c_1001_5^3 + 236145/28433*c_1001_5^2 + 101104/28433*c_1001_5 + 38128/28433, c_1001_5^9 + 13/8*c_1001_5^8 + 19/8*c_1001_5^7 + 41/8*c_1001_5^6 + 35/8*c_1001_5^5 + 5*c_1001_5^4 + 15/4*c_1001_5^3 + 9/4*c_1001_5^2 + 3/4*c_1001_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB