Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 610646702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m401 geometric_solution 4.94831336 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345686432805 1.142768321454 0 2 4 3 0132 3201 0132 0132 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 0 0 0 0 0 -1 0 1 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 0.220663506365 0.935483128769 3 4 1 0 3201 0132 2310 0132 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220663506365 0.935483128769 3 3 1 2 1302 2031 0132 2310 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 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 0 0 0 0 0.471235690849 1.070298598290 4 2 4 1 2310 0132 3201 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326623405008 0.904950896216 ==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_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 16*c_0101_2^5 + 55*c_0101_2^4 + 68*c_0101_2^3 - 82*c_0101_2^2 - 22*c_0101_2 + 15, c_0011_0 - 1, c_0011_2 + 3*c_0101_2^5 - 10*c_0101_2^4 - 14*c_0101_2^3 + 15*c_0101_2^2 + 6*c_0101_2 - 4, c_0011_3 - 3*c_0101_2^5 + 11*c_0101_2^4 + 11*c_0101_2^3 - 20*c_0101_2^2 - 4*c_0101_2 + 6, c_0101_1 + c_0101_2^5 - 4*c_0101_2^4 - 3*c_0101_2^3 + 10*c_0101_2^2 + c_0101_2 - 4, c_0101_2^6 - 3*c_0101_2^5 - 6*c_0101_2^4 + 4*c_0101_2^3 + 5*c_0101_2^2 - c_0101_2 - 1 ], Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 95/11*c_0101_2^7 + 158/11*c_0101_2^6 + 229/11*c_0101_2^5 + 203/11*c_0101_2^4 + 120/11*c_0101_2^3 + 244/11*c_0101_2^2 + 28*c_0101_2 + 281/11, c_0011_0 - 1, c_0011_2 + 8/11*c_0101_2^7 + 14/11*c_0101_2^6 + 15/11*c_0101_2^5 + 12/11*c_0101_2^4 + 2/11*c_0101_2^3 + 18/11*c_0101_2^2 + 2*c_0101_2 + 10/11, c_0011_3 - 5/11*c_0101_2^7 - 6/11*c_0101_2^6 - 8/11*c_0101_2^5 - 2/11*c_0101_2^4 - 4/11*c_0101_2^3 - 14/11*c_0101_2^2 - c_0101_2 - 9/11, c_0101_1 + 5/11*c_0101_2^7 + 6/11*c_0101_2^6 + 8/11*c_0101_2^5 + 13/11*c_0101_2^4 + 4/11*c_0101_2^3 + 14/11*c_0101_2^2 + c_0101_2 + 9/11, c_0101_2^8 + 2*c_0101_2^7 + 3*c_0101_2^6 + 3*c_0101_2^5 + 2*c_0101_2^4 + 3*c_0101_2^3 + 4*c_0101_2^2 + 4*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB