Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 745385991] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0024 geometric_solution 3.58891392 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.518453836416 0.022944141023 0 0 2 2 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.698528318940 0.327998648561 3 1 1 3 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.601680358238 0.218537460197 2 2 5 4 0132 2310 0132 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 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 0.539326551933 0.375614385884 5 6 3 5 1230 0132 0132 1302 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788501936175 0.410052057968 6 4 4 3 3201 3012 2031 0132 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 -1 1 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 0.788501936175 0.410052057968 6 4 6 5 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 0.993535816321 1.926265417181 ==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' : negation(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' : d['1'], 's_0_6' : negation(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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), '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_0011_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_0']), '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 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_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 31045454054/3744171035*c_0101_5^10 - 317962316358/3744171035*c_0101_5^9 + 105730971346/340379185*c_0101_5^8 - 180383869177/340379185*c_0101_5^7 + 427890538425/748834207*c_0101_5^6 - 87054955124/220245355*c_0101_5^5 - 23154928156/748834207*c_0101_5^4 - 515808117653/748834207*c_0101_5^3 + 59279732452/162790045*c_0101_5^2 - 602571203112/3744171035*c_0101_5 + 12007818358/3744171035, c_0011_0 - 1, c_0011_2 + 16967/93127*c_0101_5^10 - 166967/93127*c_0101_5^9 + 564869/93127*c_0101_5^8 - 819924/93127*c_0101_5^7 + 706098/93127*c_0101_5^6 - 307207/93127*c_0101_5^5 - 422846/93127*c_0101_5^4 - 1386902/93127*c_0101_5^3 + 187568/93127*c_0101_5^2 + 66801/93127*c_0101_5 - 65728/93127, c_0011_4 + 198558/4004461*c_0101_5^10 - 2165344/4004461*c_0101_5^9 + 8659371/4004461*c_0101_5^8 - 16498281/4004461*c_0101_5^7 + 18727402/4004461*c_0101_5^6 - 598019/174107*c_0101_5^5 + 574943/4004461*c_0101_5^4 - 13338373/4004461*c_0101_5^3 + 16691632/4004461*c_0101_5^2 - 2110657/4004461*c_0101_5 - 201093/4004461, c_0101_0 - 135600/4004461*c_0101_5^10 + 1306368/4004461*c_0101_5^9 - 4324300/4004461*c_0101_5^8 + 6288156/4004461*c_0101_5^7 - 6183920/4004461*c_0101_5^6 + 4723743/4004461*c_0101_5^5 - 703176/4004461*c_0101_5^4 + 14193746/4004461*c_0101_5^3 - 2566113/4004461*c_0101_5^2 - 1169866/4004461*c_0101_5 - 114633/174107, c_0101_1 - 423952/4004461*c_0101_5^10 + 4147456/4004461*c_0101_5^9 - 13934860/4004461*c_0101_5^8 + 19980828/4004461*c_0101_5^7 - 16412765/4004461*c_0101_5^6 + 5340701/4004461*c_0101_5^5 + 11930819/4004461*c_0101_5^4 + 34422898/4004461*c_0101_5^3 - 5374897/4004461*c_0101_5^2 - 2284522/4004461*c_0101_5 + 3909679/4004461, c_0101_3 - 509920/4004461*c_0101_5^10 + 218788/174107*c_0101_5^9 - 17089316/4004461*c_0101_5^8 + 25130504/4004461*c_0101_5^7 - 22981228/4004461*c_0101_5^6 + 12666020/4004461*c_0101_5^5 + 8559897/4004461*c_0101_5^4 + 47928357/4004461*c_0101_5^3 - 5415144/4004461*c_0101_5^2 - 275429/4004461*c_0101_5 + 1408720/4004461, c_0101_5^11 - 10*c_0101_5^10 + 35*c_0101_5^9 - 55*c_0101_5^8 + 54*c_0101_5^7 - 32*c_0101_5^6 - 14*c_0101_5^5 - 85*c_0101_5^4 + 24*c_0101_5^3 - 10*c_0101_5^2 - 4*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB