Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 2362249777] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m258 geometric_solution 4.25551318 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 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 -1 1 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 -0.110661062015 1.213740021213 0 2 0 3 0132 2310 1023 2310 0 0 0 0 0 -1 1 0 -1 0 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 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 -0.110661062015 1.213740021213 2 0 2 1 2031 0132 1302 3201 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385512233886 0.686914320663 1 4 0 4 3201 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495600063497 1.231743658099 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318766257753 0.210319336010 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], '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_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_4']), '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' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_4'], '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_0, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 259724813/30998546*c_0110_4^13 - 1104075659/30998546*c_0110_4^12 + 4923944249/30998546*c_0110_4^11 + 5172493901/15499273*c_0110_4^10 - 33668242245/30998546*c_0110_4^9 - 24151963057/30998546*c_0110_4^8 + 75604325089/30998546*c_0110_4^7 + 36921115829/30998546*c_0110_4^6 - 36392302028/15499273*c_0110_4^5 - 19875538572/15499273*c_0110_4^4 + 13077409086/15499273*c_0110_4^3 + 17825831023/30998546*c_0110_4^2 - 500617021/15499273*c_0110_4 - 1680345833/30998546, c_0011_0 - 1, c_0011_3 + 2101437/15499273*c_0110_4^13 + 8567207/15499273*c_0110_4^12 - 38731944/15499273*c_0110_4^11 - 63714119/15499273*c_0110_4^10 + 249473085/15499273*c_0110_4^9 + 39629440/15499273*c_0110_4^8 - 434327566/15499273*c_0110_4^7 + 7407386/15499273*c_0110_4^6 + 349442675/15499273*c_0110_4^5 + 1397065/15499273*c_0110_4^4 - 128809431/15499273*c_0110_4^3 + 10688626/15499273*c_0110_4^2 - 10688722/15499273*c_0110_4 - 5826902/15499273, c_0101_0 + 161459/15499273*c_0110_4^13 + 3296796/15499273*c_0110_4^12 + 9836176/15499273*c_0110_4^11 - 42626658/15499273*c_0110_4^10 - 86456780/15499273*c_0110_4^9 + 217117904/15499273*c_0110_4^8 + 154507976/15499273*c_0110_4^7 - 295698484/15499273*c_0110_4^6 - 175123643/15499273*c_0110_4^5 + 144377379/15499273*c_0110_4^4 + 101050417/15499273*c_0110_4^3 - 61912424/15499273*c_0110_4^2 - 16334087/15499273*c_0110_4 + 17600710/15499273, c_0101_4 + 8839487/15499273*c_0110_4^13 + 35106299/15499273*c_0110_4^12 - 172873080/15499273*c_0110_4^11 - 280843463/15499273*c_0110_4^10 + 1160763436/15499273*c_0110_4^9 + 281953666/15499273*c_0110_4^8 - 2285079677/15499273*c_0110_4^7 - 60904923/15499273*c_0110_4^6 + 1855071489/15499273*c_0110_4^5 + 146821723/15499273*c_0110_4^4 - 569980490/15499273*c_0110_4^3 - 92048307/15499273*c_0110_4^2 + 26869703/15499273*c_0110_4 + 5289487/15499273, c_0110_4^14 + 4*c_0110_4^13 - 20*c_0110_4^12 - 35*c_0110_4^11 + 139*c_0110_4^10 + 60*c_0110_4^9 - 310*c_0110_4^8 - 70*c_0110_4^7 + 307*c_0110_4^6 + 84*c_0110_4^5 - 130*c_0110_4^4 - 43*c_0110_4^3 + 17*c_0110_4^2 + 5*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB