Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 1781265996] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s153 geometric_solution 4.22286364 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.549881015566 0.553060726780 0 0 1 1 0132 3201 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 0.442842216124 0.156554096530 3 0 4 4 3201 0132 3201 0132 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 -1 0 1 1 0 0 -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 -1.075777166810 1.530674339760 5 5 0 2 0132 3201 0132 2310 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 -1 1 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.075777166810 1.530674339760 2 5 2 5 2310 1302 0132 2031 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 1 -1 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 -0.133858215310 0.862242035570 3 4 3 4 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 -0.133858215310 0.862242035570 ==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_5' : 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_2_5' : d['1'], 's_1_5' : 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_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0101_2']), '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_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_2']})} 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_4, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1145/38*c_0101_2^8 + 2923/38*c_0101_2^7 - 3749/38*c_0101_2^6 + 344/19*c_0101_2^5 + 3063/38*c_0101_2^4 - 2675/19*c_0101_2^3 + 4489/38*c_0101_2^2 - 2163/38*c_0101_2 + 773/38, c_0011_0 - 1, c_0011_3 + 5/19*c_0101_2^8 + 98/19*c_0101_2^7 - 203/19*c_0101_2^6 + 186/19*c_0101_2^5 + 129/19*c_0101_2^4 - 274/19*c_0101_2^3 + 280/19*c_0101_2^2 - 117/19*c_0101_2 + 25/19, c_0011_4 - 5/19*c_0101_2^8 - 98/19*c_0101_2^7 + 203/19*c_0101_2^6 - 186/19*c_0101_2^5 - 129/19*c_0101_2^4 + 274/19*c_0101_2^3 - 280/19*c_0101_2^2 + 117/19*c_0101_2 - 25/19, c_0101_0 + 105/19*c_0101_2^8 - 32/19*c_0101_2^7 - 102/19*c_0101_2^6 + 410/19*c_0101_2^5 - 84/19*c_0101_2^4 - 35/19*c_0101_2^3 + 351/19*c_0101_2^2 - 177/19*c_0101_2 + 107/19, c_0101_1 + 125/19*c_0101_2^8 - 305/19*c_0101_2^7 + 302/19*c_0101_2^6 + 128/19*c_0101_2^5 - 461/19*c_0101_2^4 + 446/19*c_0101_2^3 - 201/19*c_0101_2^2 + 39/19*c_0101_2 + 17/19, c_0101_2^9 - 12/5*c_0101_2^8 + 16/5*c_0101_2^7 - 3/5*c_0101_2^6 - 11/5*c_0101_2^5 + 23/5*c_0101_2^4 - 19/5*c_0101_2^3 + 12/5*c_0101_2^2 - 4/5*c_0101_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB