Magma V2.19-8 Tue Aug 20 2013 16:09:01 on localhost [Seed = 122067390] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m299 geometric_solution 4.43356831 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 1 0 -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 0.699267707956 0.784449629811 0 3 2 0 0132 2031 3120 3012 0 0 0 0 0 0 0 0 1 0 0 -1 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 0.366798365475 0.710335658500 2 0 1 2 3201 0132 3120 2310 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 0 0 0 0 0 0 0 0 0 0 0 0.955362864314 0.572180954784 1 4 0 4 1302 0132 0132 2310 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 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 0.791420371223 0.850054708801 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.404891378049 0.246054183553 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 273404949811/578932442019*c_0110_4^14 - 390476234843/192977480673*c_0110_4^13 + 1011201477508/578932442019*c_0110_4^12 + 2734592079652/192977480673*c_0110_4^11 + 8482089674314/578932442019*c_0110_4^10 - 2011442060750/578932442019*c_0110_4^9 - 5797145284048/578932442019*c_0110_4^8 + 2674681857266/192977480673*c_0110_4^7 - 740170606/47968551*c_0110_4^6 - 1977448753655/64325826891*c_0110_4^\ 5 - 3971546415485/578932442019*c_0110_4^4 - 117081596459/10923253623*c_0110_4^3 - 2875705804325/578932442019*c_0110_4^2 - 3955219707163/578932442019*c_0110_4 - 637875174418/578932442019, c_0011_0 - 1, c_0011_3 + 211347193/2382438033*c_0110_4^14 + 360363419/794146011*c_0110_4^13 - 5201881/2382438033*c_0110_4^12 - 2354336371/794146011*c_0110_4^11 - 12896034397/2382438033*c_0110_4^10 - 5021168167/2382438033*c_0110_4^9 + 11027616568/2382438033*c_0110_4^8 + 3814376197/794146011*c_0110_4^7 + 7871100/1776613*c_0110_4^6 + 943790389/264715337*c_0110_4^5 + 570578132/2382438033*c_0110_4^4 + 14726201/44951661*c_0110_4^3 - 338008495/2382438033*c_0110_4^2 - 3472788842/2382438033*c_0110_4 - 914871119/2382438033, c_0101_2 - 69051143971/192977480673*c_0110_4^14 - 114389124755/64325826891*c_0110_4^13 + 81298721443/192977480673*c_0110_4^12 + 809326433746/64325826891*c_0110_4^11 + 3732913892911/192977480673*c_0110_4^10 - 26854012829/192977480673*c_0110_4^9 - 4713923541469/192977480673*c_0110_4^8 - 511651324330/64325826891*c_0110_4^7 + 17853455/15989517*c_0110_4^6 - 311540869121/21441942297*c_0110_4^5 - 1890548445650/192977480673*c_0110_4^4 - 4620465314/3641084541*c_0110_4^3 + 161503427179/192977480673*c_0110_4^2 - 158036872336/192977480673*c_0110_4 - 186453519877/192977480673, c_0101_4 - 35909516792/192977480673*c_0110_4^14 - 75985218676/64325826891*c_0110_4^13 - 190793022931/192977480673*c_0110_4^12 + 455972934242/64325826891*c_0110_4^11 + 3595920989345/192977480673*c_0110_4^10 + 2295826169747/192977480673*c_0110_4^9 - 2599821394379/192977480673*c_0110_4^8 - 1239002575439/64325826891*c_0110_4^7 - 62597264/15989517*c_0110_4^6 - 242451327286/21441942297*c_0110_4^5 - 2757708500644/192977480673*c_0110_4^4 - 14567243578/3641084541*c_0110_4^3 - 24567014986/192977480673*c_0110_4^2 + 186192279076/192977480673*c_0110_4 - 108960136409/192977480673, c_0110_4^15 + 5*c_0110_4^14 - c_0110_4^13 - 35*c_0110_4^12 - 55*c_0110_4^11 - 3*c_0110_4^10 + 65*c_0110_4^9 + 26*c_0110_4^8 + 6*c_0110_4^7 + 45*c_0110_4^6 + 23*c_0110_4^5 + 5*c_0110_4^4 - 2*c_0110_4^3 - c_0110_4^2 + 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB