Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 3987501518] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s272 geometric_solution 4.44004242 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 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 1.759975917010 0.369247582608 0 2 3 0 0132 0132 0132 3201 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 0 0 0 1 0 -1 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 0.890878204411 0.894797309423 4 1 3 3 0132 0132 1302 3201 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 0 0 0 0 0 1 -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 0.282039600302 0.580411787867 2 2 4 1 2031 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282039600302 0.580411787867 2 3 5 5 0132 3201 2310 0132 0 0 0 0 0 1 -1 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 -1 1 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 -0.535385595819 0.644129370772 5 4 4 5 3201 3201 0132 2310 0 0 0 0 0 -1 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 1 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 -0.464089697773 0.989210013180 ==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' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 30898728/36559*c_0101_4^11 - 294500562/36559*c_0101_4^10 + 768201720/36559*c_0101_4^9 - 1008793580/36559*c_0101_4^8 + 780842473/36559*c_0101_4^7 - 340337518/36559*c_0101_4^6 + 43046519/36559*c_0101_4^5 + 164992539/36559*c_0101_4^4 - 209454279/36559*c_0101_4^3 + 146965293/36559*c_0101_4^2 - 84276122/36559*c_0101_4 + 21775766/36559, c_0011_0 - 1, c_0011_3 + 5492454/36559*c_0101_4^11 - 52313532/36559*c_0101_4^10 + 136230956/36559*c_0101_4^9 - 178639247/36559*c_0101_4^8 + 138292697/36559*c_0101_4^7 - 60503816/36559*c_0101_4^6 + 7846653/36559*c_0101_4^5 + 29381791/36559*c_0101_4^4 - 37336842/36559*c_0101_4^3 + 26153303/36559*c_0101_4^2 - 15018561/36559*c_0101_4 + 3836170/36559, c_0011_5 + 2171880/36559*c_0101_4^11 - 20686038/36559*c_0101_4^10 + 53846793/36559*c_0101_4^9 - 70454540/36559*c_0101_4^8 + 54307692/36559*c_0101_4^7 - 23550401/36559*c_0101_4^6 + 2912692/36559*c_0101_4^5 + 11611737/36559*c_0101_4^4 - 14732369/36559*c_0101_4^3 + 10273469/36559*c_0101_4^2 - 5882679/36559*c_0101_4 + 1466524/36559, c_0101_0 + 4223979/36559*c_0101_4^11 - 40117659/36559*c_0101_4^10 + 103770648/36559*c_0101_4^9 - 135327344/36559*c_0101_4^8 + 104200633/36559*c_0101_4^7 - 45158770/36559*c_0101_4^6 + 5599690/36559*c_0101_4^5 + 22511272/36559*c_0101_4^4 - 28089534/36559*c_0101_4^3 + 19744341/36559*c_0101_4^2 - 11267174/36559*c_0101_4 + 2804411/36559, c_0101_1 - 6016056/36559*c_0101_4^11 + 57279114/36559*c_0101_4^10 - 149038472/36559*c_0101_4^9 + 195340407/36559*c_0101_4^8 - 151080796/36559*c_0101_4^7 + 65899217/36559*c_0101_4^6 - 8372931/36559*c_0101_4^5 - 32171242/36559*c_0101_4^4 + 40694127/36559*c_0101_4^3 - 28577935/36559*c_0101_4^2 + 16370686/36559*c_0101_4 - 4162289/36559, c_0101_4^12 - 10*c_0101_4^11 + 88/3*c_0101_4^10 - 133/3*c_0101_4^9 + 122/3*c_0101_4^8 - 23*c_0101_4^7 + 20/3*c_0101_4^6 + 14/3*c_0101_4^5 - 28/3*c_0101_4^4 + 8*c_0101_4^3 - 5*c_0101_4^2 + 2*c_0101_4 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB