Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 3280101110] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2780 geometric_solution 6.01484501 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 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 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 0.702466113734 0.403929769384 0 0 2 4 0132 0321 1302 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.440746536730 0.931654897964 1 0 5 4 2031 0132 0132 2103 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 -1 0 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 0.095648892928 1.193555383833 6 5 6 0 0132 3201 1023 0132 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 1 -1 -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 1.350226963869 1.057731544572 6 5 1 2 1230 0132 0132 2103 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 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 0.736812283150 0.382035589823 6 4 3 2 3012 0132 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 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 0.170772912022 1.067800167787 3 4 3 5 0132 3012 1023 1230 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 1 0 -1 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 0.421656461077 0.686392501772 ==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' : negation(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_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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), '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_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 266664222370498087202455/1777578627075539037*c_1001_2^10 + 155112099382537717774047/1185052418050359358*c_1001_2^9 + 3572489615763799976975431/3555157254151078074*c_1001_2^8 - 3133936210610197707399287/3555157254151078074*c_1001_2^7 + 1418946011768631421754221/592526209025179679*c_1001_2^6 - 1914398103767778794387921/1185052418050359358*c_1001_2^5 - 2142138923629795609155897/1185052418050359358*c_1001_2^4 - 1824285718089314095164794/1777578627075539037*c_1001_2^3 - 6818853421770677634369269/1185052418050359358*c_1001_2^2 - 1124535604983154869557997/1185052418050359358*c_1001_2 - 234262097905638008691589/3555157254151078074, c_0011_0 - 1, c_0011_3 + 4601986278487640/7500331759812401*c_1001_2^10 - 5537410000503504/7500331759812401*c_1001_2^9 - 29134275462217840/7500331759812401*c_1001_2^8 + 37020105262407055/7500331759812401*c_1001_2^7 - 85186672468742415/7500331759812401*c_1001_2^6 + 75598486103519214/7500331759812401*c_1001_2^5 + 35814976837195938/7500331759812401*c_1001_2^4 + 15451911201672350/7500331759812401*c_1001_2^3 + 176087340033656129/7500331759812401*c_1001_2^2 - 29528415086585103/7500331759812401*c_1001_2 - 2620598430126048/7500331759812401, c_0011_4 + 2429581695463750/7500331759812401*c_1001_2^10 - 2214153010657795/7500331759812401*c_1001_2^9 - 16308094909986828/7500331759812401*c_1001_2^8 + 15224780790901064/7500331759812401*c_1001_2^7 - 39213789671785416/7500331759812401*c_1001_2^6 + 25346895255155013/7500331759812401*c_1001_2^5 + 34973394538526325/7500331759812401*c_1001_2^4 + 11663697195473382/7500331759812401*c_1001_2^3 + 97337338045819485/7500331759812401*c_1001_2^2 + 13991961218999609/7500331759812401*c_1001_2 - 7478329049352609/7500331759812401, c_0101_0 + 3566503246200210/7500331759812401*c_1001_2^10 - 3469532525253441/7500331759812401*c_1001_2^9 - 23879526614657634/7500331759812401*c_1001_2^8 + 23800348619748009/7500331759812401*c_1001_2^7 - 56834945274641288/7500331759812401*c_1001_2^6 + 41079284040849576/7500331759812401*c_1001_2^5 + 42410384987036786/7500331759812401*c_1001_2^4 + 15433613348805161/7500331759812401*c_1001_2^3 + 130693005168742895/7500331759812401*c_1001_2^2 + 5467224134680297/7500331759812401*c_1001_2 - 7271312132415054/7500331759812401, c_0101_2 - 6185746237153740/7500331759812401*c_1001_2^10 + 6976307174899704/7500331759812401*c_1001_2^9 + 39988839688734951/7500331759812401*c_1001_2^8 - 46802668045015330/7500331759812401*c_1001_2^7 + 108288777445297883/7500331759812401*c_1001_2^6 - 92896020895541901/7500331759812401*c_1001_2^5 - 55324629016180754/7500331759812401*c_1001_2^4 - 22389561686271988/7500331759812401*c_1001_2^3 - 225045047438648116/7500331759812401*c_1001_2^2 + 20393085984485486/7500331759812401*c_1001_2 + 5967867707499293/7500331759812401, c_1001_0 + 5732125191586950/7500331759812401*c_1001_2^10 - 6279051660543435/7500331759812401*c_1001_2^9 - 37397064286601406/7500331759812401*c_1001_2^8 + 41937107160392985/7500331759812401*c_1001_2^7 - 98010414740864435/7500331759812401*c_1001_2^6 + 84724067072027131/7500331759812401*c_1001_2^5 + 54513678976796454/7500331759812401*c_1001_2^4 + 22943875977696821/7500331759812401*c_1001_2^3 + 211018215513087315/7500331759812401*c_1001_2^2 - 16688277098270642/7500331759812401*c_1001_2 - 6324518032119314/7500331759812401, c_1001_2^11 - 11/10*c_1001_2^10 - 13/2*c_1001_2^9 + 37/5*c_1001_2^8 - 173/10*c_1001_2^7 + 72/5*c_1001_2^6 + 48/5*c_1001_2^5 + 41/10*c_1001_2^4 + 184/5*c_1001_2^3 - 12/5*c_1001_2^2 - c_1001_2 - 1/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB