Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1730607942] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s339 geometric_solution 4.53795685 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 1 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 1 -1 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 0.931871296192 0.676431229603 0 0 1 1 0132 2310 2031 1302 0 0 0 0 0 0 0 0 -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 0 1 -1 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 1.816788593141 0.693544673424 4 0 4 3 0132 0132 2310 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735525607158 0.910428051677 5 2 5 0 0132 2310 2310 0132 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 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 0.735525607158 0.910428051677 2 2 5 5 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0.387835480712 0.237167844744 3 3 4 4 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387835480712 0.237167844744 ==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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0101_2'], 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 213897/15536*c_0101_4^11 - 350259/15536*c_0101_4^10 - 414137/7768*c_0101_4^9 - 397485/15536*c_0101_4^8 - 261025/15536*c_0101_4^7 - 5465/15536*c_0101_4^6 - 211655/15536*c_0101_4^5 - 589865/7768*c_0101_4^4 - 372451/15536*c_0101_4^3 - 381741/15536*c_0101_4^2 + 215505/15536*c_0101_4 + 145237/15536, c_0011_0 - 1, c_0101_0 - 21153/7768*c_0101_4^11 - 41811/7768*c_0101_4^10 - 44597/3884*c_0101_4^9 - 55773/7768*c_0101_4^8 - 20985/7768*c_0101_4^7 + 5799/7768*c_0101_4^6 - 20503/7768*c_0101_4^5 - 60245/3884*c_0101_4^4 - 69179/7768*c_0101_4^3 - 29429/7768*c_0101_4^2 + 20753/7768*c_0101_4 + 20629/7768, c_0101_1 + 18375/1942*c_0101_4^11 + 28449/1942*c_0101_4^10 + 33640/971*c_0101_4^9 + 26405/1942*c_0101_4^8 + 15593/1942*c_0101_4^7 - 3749/1942*c_0101_4^6 + 15125/1942*c_0101_4^5 + 48765/971*c_0101_4^4 + 25465/1942*c_0101_4^3 + 28683/1942*c_0101_4^2 - 20259/1942*c_0101_4 - 15755/1942, c_0101_2 - 2151/7768*c_0101_4^11 - 4797/7768*c_0101_4^10 - 5895/3884*c_0101_4^9 - 14139/7768*c_0101_4^8 - 10087/7768*c_0101_4^7 - 5799/7768*c_0101_4^6 + 4967/7768*c_0101_4^5 - 5783/3884*c_0101_4^4 - 16269/7768*c_0101_4^3 - 17179/7768*c_0101_4^2 - 5217/7768*c_0101_4 + 10443/7768, c_0101_3 + 2151/7768*c_0101_4^11 + 4797/7768*c_0101_4^10 + 5895/3884*c_0101_4^9 + 14139/7768*c_0101_4^8 + 10087/7768*c_0101_4^7 + 5799/7768*c_0101_4^6 - 4967/7768*c_0101_4^5 + 5783/3884*c_0101_4^4 + 16269/7768*c_0101_4^3 + 17179/7768*c_0101_4^2 + 5217/7768*c_0101_4 - 10443/7768, c_0101_4^12 + 2*c_0101_4^11 + 13/3*c_0101_4^10 + 3*c_0101_4^9 + 4/3*c_0101_4^8 + 2/3*c_0101_4^6 + 17/3*c_0101_4^5 + 11/3*c_0101_4^4 + 2*c_0101_4^3 - 2/3*c_0101_4^2 - 4/3*c_0101_4 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB