Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 2429619386] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0060 geometric_solution 3.61993662 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991256918704 0.506751960891 0 2 2 3 0132 1230 3012 0132 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 -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 0 0 0 0 1.200204410828 0.408872791178 3 1 1 0 3201 1230 3012 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 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 1.200204410828 0.408872791178 4 4 1 2 0132 3201 0132 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 0.765896555370 0.958967572702 3 5 3 5 0132 0132 2310 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 -1.869860723465 1.227576877278 4 4 6 6 3201 0132 0132 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 0.157168738419 0.042653511344 5 6 6 5 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.456278154830 0.327379798311 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_6'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_0'], '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' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_0']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 47/3*c_0101_2^2 + 16/3*c_0101_2 - 136/3, c_0011_0 - 1, c_0011_3 + c_0101_2 - 1, c_0011_6 - c_0101_2, c_0101_0 - c_0101_2^2 + 1, c_0101_1 - c_0101_2, c_0101_2^3 - 3*c_0101_2 + 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 89/3*c_0101_6^8 - 851/27*c_0101_6^7 + 28333/27*c_0101_6^6 - 12311/9*c_0101_6^5 - 53545/27*c_0101_6^4 + 68828/27*c_0101_6^3 + 7339/9*c_0101_6^2 - 18530/27*c_0101_6 - 5576/27, c_0011_0 - 1, c_0011_3 - 2/9*c_0101_6^8 - 1/27*c_0101_6^7 + 218/27*c_0101_6^6 - 155/9*c_0101_6^5 - 152/27*c_0101_6^4 + 820/27*c_0101_6^3 - 10*c_0101_6^2 - 151/27*c_0101_6 + 35/27, c_0011_6 + 5/9*c_0101_6^8 + 10/27*c_0101_6^7 - 533/27*c_0101_6^6 + 302/9*c_0101_6^5 + 593/27*c_0101_6^4 - 1513/27*c_0101_6^3 + 12*c_0101_6^2 + 205/27*c_0101_6 - 35/27, c_0101_0 + 1/27*c_0101_6^8 - 37/27*c_0101_6^6 + 83/27*c_0101_6^5 + 4/3*c_0101_6^4 - 173/27*c_0101_6^3 + 1/27*c_0101_6^2 + 10/3*c_0101_6 - 1/27, c_0101_1 - 5/27*c_0101_6^7 - 5/27*c_0101_6^6 + 58/9*c_0101_6^5 - 247/27*c_0101_6^4 - 214/27*c_0101_6^3 + 121/9*c_0101_6^2 - 53/27*c_0101_6 - 20/27, c_0101_2 - 5/27*c_0101_6^7 - 5/27*c_0101_6^6 + 58/9*c_0101_6^5 - 247/27*c_0101_6^4 - 214/27*c_0101_6^3 + 121/9*c_0101_6^2 - 53/27*c_0101_6 - 20/27, c_0101_6^9 - 36*c_0101_6^7 + 84*c_0101_6^6 - 126*c_0101_6^4 + 84*c_0101_6^3 - 9*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB