Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3667609303] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s541 geometric_solution 4.96223122 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 1 -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 0.460884544812 0.565799140289 0 3 2 4 0132 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 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 1.134559378173 1.062447342427 3 0 4 1 2310 0132 2310 3012 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 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 1.134559378173 1.062447342427 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143034630350 0.541053923014 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704004066537 0.430852289438 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 0 1 -1 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 1.547689410808 0.577369840036 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_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' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 170526397976935481/50953710591574000*c_0101_5^14 + 29813430017435363/2038148423662960*c_0101_5^13 + 745304113511474561/50953710591574000*c_0101_5^12 - 8793960835507982881/50953710591574000*c_0101_5^11 + 14855317903700018259/50953710591574000*c_0101_5^10 + 1219285377248239851/50953710591574000*c_0101_5^9 - 12473672460506194583/25476855295787000*c_0101_5^8 + 4212463234805555837/50953710591574000*c_0101_5^7 + 7324419362872731899/12738427647893500*c_0101_5^6 + 12446494653074664619/50953710591574000*c_0101_5^5 - 43422156571759689579/50953710591574000*c_0101_5^4 + 1915949256522439979/25476855295787000*c_0101_5^3 + 4335678761032187883/25476855295787000*c_0101_5^2 - 358318162792209531/5095371059157400*c_0101_5 - 2930371709308500977/50953710591574000, c_0011_0 - 1, c_0011_4 - 2377698055251/30584460139000*c_0101_5^14 + 466784414513/1223378405560*c_0101_5^13 + 5878940282931/30584460139000*c_0101_5^12 - 130819043820651/30584460139000*c_0101_5^11 + 262683309301289/30584460139000*c_0101_5^10 - 57377438179479/30584460139000*c_0101_5^9 - 186910797379193/15292230069500*c_0101_5^8 + 184897002448127/30584460139000*c_0101_5^7 + 107363069098479/7646115034750*c_0101_5^6 + 53732125025849/30584460139000*c_0101_5^5 - 710386554423009/30584460139000*c_0101_5^4 + 105322331390909/15292230069500*c_0101_5^3 + 35019648994993/15292230069500*c_0101_5^2 - 9146916579901/3058446013900*c_0101_5 - 33202872562067/30584460139000, c_0101_0 + 182832932261/3823057517375*c_0101_5^14 - 35195934238/152922300695*c_0101_5^13 - 413777736741/3823057517375*c_0101_5^12 + 9654952622411/3823057517375*c_0101_5^11 - 20216126235929/3823057517375*c_0101_5^10 + 7190634389769/3823057517375*c_0101_5^9 + 24463381817996/3823057517375*c_0101_5^8 - 15531270037272/3823057517375*c_0101_5^7 - 25438762595451/3823057517375*c_0101_5^6 - 2993038489089/3823057517375*c_0101_5^5 + 50222464529974/3823057517375*c_0101_5^4 - 22720235437123/3823057517375*c_0101_5^3 - 1343575906221/3823057517375*c_0101_5^2 + 519292277422/764611503475*c_0101_5 - 548947043388/3823057517375, c_0101_1 + 121548835113/3823057517375*c_0101_5^14 - 21422855429/152922300695*c_0101_5^13 - 377272588328/3823057517375*c_0101_5^12 + 5829734188688/3823057517375*c_0101_5^11 - 11720043815407/3823057517375*c_0101_5^10 + 5197554224502/3823057517375*c_0101_5^9 + 10647996081743/3823057517375*c_0101_5^8 - 6792207034351/3823057517375*c_0101_5^7 - 9208989927758/3823057517375*c_0101_5^6 - 3142683631562/3823057517375*c_0101_5^5 + 19527584807892/3823057517375*c_0101_5^4 - 18881378881684/3823057517375*c_0101_5^3 + 9867188346332/3823057517375*c_0101_5^2 + 283845269626/764611503475*c_0101_5 - 579639115679/3823057517375, c_0101_2 - 246831389/4175352920*c_0101_5^14 + 219373339/835070584*c_0101_5^13 + 1064273269/4175352920*c_0101_5^12 - 13060746349/4175352920*c_0101_5^11 + 22031810031/4175352920*c_0101_5^10 + 3265636879/4175352920*c_0101_5^9 - 20153426087/2087676460*c_0101_5^8 + 7052503913/4175352920*c_0101_5^7 + 12178374881/1043838230*c_0101_5^6 + 17146258671/4175352920*c_0101_5^5 - 70432159871/4175352920*c_0101_5^4 + 691424011/2087676460*c_0101_5^3 + 8628351907/2087676460*c_0101_5^2 - 770184263/417535292*c_0101_5 - 1321476653/4175352920, c_0101_5^15 - 4*c_0101_5^14 - 6*c_0101_5^13 + 50*c_0101_5^12 - 68*c_0101_5^11 - 40*c_0101_5^10 + 145*c_0101_5^9 + 29*c_0101_5^8 - 183*c_0101_5^7 - 135*c_0101_5^6 + 230*c_0101_5^5 + 71*c_0101_5^4 - 64*c_0101_5^3 + 4*c_0101_5^2 + 27*c_0101_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB