Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 627358621] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m166 geometric_solution 3.84058386 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2310 0132 0132 0 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 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 -0.412218178447 0.985384601322 0 4 4 0 0132 0132 3201 3201 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 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148194036766 0.459433505481 3 3 3 0 1230 1023 2031 0132 0 0 0 0 0 1 0 -1 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 -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 0.463083185699 0.932327200389 2 2 0 2 1023 3012 0132 1302 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463083185699 0.932327200389 1 1 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 1 0 0 -1 1 -1 0 0 0 -1 1 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' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_3' : negation(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' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_4' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 230*c_0101_4^9 - 111*c_0101_4^8 + 2700*c_0101_4^7 + 3147*c_0101_4^6 - 3240*c_0101_4^5 - 2244*c_0101_4^4 + 4105*c_0101_4^3 + 421*c_0101_4^2 - 1806*c_0101_4 + 452, c_0011_0 - 1, c_0011_2 + c_0101_4^9 - 12*c_0101_4^7 - 8*c_0101_4^6 + 21*c_0101_4^5 + 3*c_0101_4^4 - 23*c_0101_4^3 + 7*c_0101_4^2 + 10*c_0101_4 - 5, c_0101_1 + 22*c_0101_4^9 + 11*c_0101_4^8 - 259*c_0101_4^7 - 305*c_0101_4^6 + 315*c_0101_4^5 + 222*c_0101_4^4 - 404*c_0101_4^3 - 41*c_0101_4^2 + 182*c_0101_4 - 47, c_0101_2 + 4*c_0101_4^9 + c_0101_4^8 - 48*c_0101_4^7 - 44*c_0101_4^6 + 76*c_0101_4^5 + 33*c_0101_4^4 - 89*c_0101_4^3 + 5*c_0101_4^2 + 42*c_0101_4 - 14, c_0101_4^10 - 12*c_0101_4^8 - 8*c_0101_4^7 + 21*c_0101_4^6 + 3*c_0101_4^5 - 23*c_0101_4^4 + 7*c_0101_4^3 + 9*c_0101_4^2 - 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB