Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 997893518] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m106 geometric_solution 3.53095364 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 1 0132 0132 0213 1302 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 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954063212043 0.995533935801 0 0 0 2 0132 0213 2031 2103 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 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 0.046251389640 1.002351927780 3 0 3 1 0132 0132 1023 2103 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 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 0.926624323783 0.513603583165 2 4 2 4 0132 0132 1023 2310 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 0.835387759382 0.176646889217 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 0.626672013204 0.121478682089 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_3']})} 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_0101_1, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 479*c_0110_4^11 - 1633*c_0110_4^10 + 2686*c_0110_4^9 + 13078*c_0110_4^8 - 3756*c_0110_4^7 - 33659*c_0110_4^6 + 3958*c_0110_4^5 + 35691*c_0110_4^4 - 10311*c_0110_4^3 - 12886*c_0110_4^2 + 7676*c_0110_4 - 1168, c_0011_0 - 1, c_0101_1 - 125*c_0110_4^11 - 418*c_0110_4^10 + 732*c_0110_4^9 + 3380*c_0110_4^8 - 1215*c_0110_4^7 - 8817*c_0110_4^6 + 1585*c_0110_4^5 + 9477*c_0110_4^4 - 3216*c_0110_4^3 - 3412*c_0110_4^2 + 2192*c_0110_4 - 349, c_0101_2 - 112*c_0110_4^11 - 384*c_0110_4^10 + 620*c_0110_4^9 + 3068*c_0110_4^8 - 815*c_0110_4^7 - 7870*c_0110_4^6 + 766*c_0110_4^5 + 8318*c_0110_4^4 - 2243*c_0110_4^3 - 3013*c_0110_4^2 + 1727*c_0110_4 - 254, c_0101_3 - c_0110_4^11 - 3*c_0110_4^10 + 7*c_0110_4^9 + 25*c_0110_4^8 - 19*c_0110_4^7 - 67*c_0110_4^6 + 37*c_0110_4^5 + 71*c_0110_4^4 - 52*c_0110_4^3 - 18*c_0110_4^2 + 28*c_0110_4 - 8, c_0110_4^12 + 3*c_0110_4^11 - 7*c_0110_4^10 - 25*c_0110_4^9 + 19*c_0110_4^8 + 67*c_0110_4^7 - 37*c_0110_4^6 - 71*c_0110_4^5 + 52*c_0110_4^4 + 18*c_0110_4^3 - 27*c_0110_4^2 + 9*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB