Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 4223297225] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2756 geometric_solution 5.99522497 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 0.405046679199 0.350439741855 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 -1 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 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 0.355878484249 1.836788572911 1 5 0 6 1230 0132 0132 0132 0 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 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 0.736912216191 0.812315490825 1 6 5 5 0132 2031 2103 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 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 -0.158810014252 0.665523191023 6 4 4 1 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 -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 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 0.120132445182 0.720378226011 3 2 3 6 2103 0132 1230 2031 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 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 0.268862135759 0.578453396654 3 5 2 4 1302 1302 0132 2310 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 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 1.458399487664 0.884919618569 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 693469/623360*c_0110_5^16 + 30576661/1246720*c_0110_5^14 - 114636193/623360*c_0110_5^12 + 2101308109/2493440*c_0110_5^10 - 6415179787/2493440*c_0110_5^8 + 1605334301/311680*c_0110_5^6 - 1060782649/155840*c_0110_5^4 + 44084261/7792*c_0110_5^2 - 21343523/9740, c_0011_0 - 1, c_0011_1 + 1/1024*c_0110_5^17 - 23/1024*c_0110_5^15 + 373/2048*c_0110_5^13 - 1837/2048*c_0110_5^11 + 191/64*c_0110_5^9 - 865/128*c_0110_5^7 + 21/2*c_0110_5^5 - 11*c_0110_5^3 + 6*c_0110_5, c_0011_2 - 96103/997376*c_0110_5^17 + 2098185/997376*c_0110_5^15 - 30939683/1994752*c_0110_5^13 + 140267875/1994752*c_0110_5^11 - 52845987/249344*c_0110_5^9 + 13020453/31168*c_0110_5^7 - 2122215/3896*c_0110_5^5 + 3465687/7792*c_0110_5^3 - 326175/1948*c_0110_5, c_0011_4 + 4447/62336*c_0110_5^16 - 195387/124672*c_0110_5^14 + 727963/62336*c_0110_5^12 - 13284235/249344*c_0110_5^10 + 40335585/249344*c_0110_5^8 - 20033031/62336*c_0110_5^6 + 410289/974*c_0110_5^4 - 1346071/3896*c_0110_5^2 + 63665/487, c_0101_1 - 32227/498688*c_0110_5^17 + 697283/498688*c_0110_5^15 - 10121811/997376*c_0110_5^13 + 45446637/997376*c_0110_5^11 - 67624015/498688*c_0110_5^9 + 32820193/124672*c_0110_5^7 - 2635705/7792*c_0110_5^5 + 2109607/7792*c_0110_5^3 - 48446/487*c_0110_5, c_0101_2 - 3953/124672*c_0110_5^16 + 2707/3896*c_0110_5^14 - 1287355/249344*c_0110_5^12 + 2942681/124672*c_0110_5^10 - 17906913/249344*c_0110_5^8 + 8960311/62336*c_0110_5^6 - 185937/974*c_0110_5^4 + 622277/3896*c_0110_5^2 - 30607/487, c_0110_5^18 - 23*c_0110_5^16 + 373/2*c_0110_5^14 - 1837/2*c_0110_5^12 + 3056*c_0110_5^10 - 6920*c_0110_5^8 + 10752*c_0110_5^6 - 11264*c_0110_5^4 + 7168*c_0110_5^2 - 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB