Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 1444399329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m165 geometric_solution 3.84058386 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 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 1 0 -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 -0.412218178447 0.985384601322 0 2 2 2 0132 3012 2031 0132 0 0 0 0 0 -1 0 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 -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 0.463853539126 0.805456748615 1 0 1 1 1230 0132 0132 1302 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463853539126 0.805456748615 0 4 4 0 3201 0132 3201 0132 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 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 -0.148194036766 0.459433505481 3 3 4 4 2310 0132 2031 1302 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 3.423776884203 2.101695578169 ==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_0101_4'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], '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_0101_1']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), '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_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4301426/436539*c_0101_4^9 + 20144870/436539*c_0101_4^8 + 45220250/436539*c_0101_4^7 - 48446434/145513*c_0101_4^6 - 211274317/436539*c_0101_4^5 + 143122067/436539*c_0101_4^4 + 170836415/436539*c_0101_4^3 + 5401261/436539*c_0101_4^2 - 9186330/145513*c_0101_4 - 13758656/436539, c_0011_0 - 1, c_0011_3 - 39991/145513*c_0101_4^9 + 198933/145513*c_0101_4^8 + 364901/145513*c_0101_4^7 - 1462726/145513*c_0101_4^6 - 1593793/145513*c_0101_4^5 + 1846388/145513*c_0101_4^4 + 1256333/145513*c_0101_4^3 - 243255/145513*c_0101_4^2 + 19599/145513*c_0101_4 - 98760/145513, c_0101_0 - 38753/145513*c_0101_4^9 + 153601/145513*c_0101_4^8 + 527481/145513*c_0101_4^7 - 966853/145513*c_0101_4^6 - 2754394/145513*c_0101_4^5 - 325241/145513*c_0101_4^4 + 2016214/145513*c_0101_4^3 + 928263/145513*c_0101_4^2 - 101425/145513*c_0101_4 - 147990/145513, c_0101_1 + 6373/145513*c_0101_4^9 - 54702/145513*c_0101_4^8 + 65643/145513*c_0101_4^7 + 391244/145513*c_0101_4^6 - 637716/145513*c_0101_4^5 - 873001/145513*c_0101_4^4 + 982076/145513*c_0101_4^3 + 471884/145513*c_0101_4^2 - 84447/145513*c_0101_4 - 28693/145513, c_0101_4^10 - 5*c_0101_4^9 - 9*c_0101_4^8 + 37*c_0101_4^7 + 38*c_0101_4^6 - 48*c_0101_4^5 - 27*c_0101_4^4 + 11*c_0101_4^3 + 5*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB