Magma V2.19-8 Tue Aug 20 2013 16:14:37 on localhost [Seed = 3869735648] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s605 geometric_solution 5.08458248 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 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 -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 0.434690650965 0.826253582285 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941193214841 1.034441640980 3 0 4 1 2310 0132 0132 3012 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 -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 0.941193214841 1.034441640980 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 -1 0 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 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 -0.143382241744 0.725989690783 5 5 1 2 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 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 0.434690650965 0.826253582285 4 5 4 5 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.885944360127 0.534976009572 ==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' : negation(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_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_4'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 6*c_0101_3^6 + 12*c_0101_3^5 + 8*c_0101_3^4 - 40*c_0101_3^3 + 23*c_0101_3^2 + 10*c_0101_3 - 9, c_0011_0 - 1, c_0011_4 - c_0101_3^5 + c_0101_3^4 + 3*c_0101_3^3 - 5*c_0101_3^2 - 2*c_0101_3 + 3, c_0101_0 - 2*c_0101_3^6 + 2*c_0101_3^5 + 5*c_0101_3^4 - 9*c_0101_3^3 - c_0101_3^2 + 4*c_0101_3 - 1, c_0101_1 - c_0101_3^6 + c_0101_3^5 + 3*c_0101_3^4 - 5*c_0101_3^3 - 2*c_0101_3^2 + 3*c_0101_3, c_0101_2 - c_0101_3^6 + c_0101_3^5 + 3*c_0101_3^4 - 5*c_0101_3^3 - 2*c_0101_3^2 + 3*c_0101_3, c_0101_3^7 - c_0101_3^6 - 3*c_0101_3^5 + 5*c_0101_3^4 + 2*c_0101_3^3 - 4*c_0101_3^2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 449/72*c_0101_3^9 + 71/3*c_0101_3^8 + 311/18*c_0101_3^7 - 643/72*c_0101_3^6 - 3137/72*c_0101_3^5 - 16/9*c_0101_3^4 + 821/12*c_0101_3^3 + 923/24*c_0101_3^2 - 1021/72*c_0101_3 - 601/72, c_0011_0 - 1, c_0011_4 + 4/9*c_0101_3^9 + 22/9*c_0101_3^8 + 32/9*c_0101_3^7 - 1/3*c_0101_3^6 - 43/9*c_0101_3^5 - 38/9*c_0101_3^4 + 73/9*c_0101_3^3 + 85/9*c_0101_3^2 - 7/9*c_0101_3 - 10/3, c_0101_0 + 5/3*c_0101_3^9 + 58/9*c_0101_3^8 + 43/9*c_0101_3^7 - 28/9*c_0101_3^6 - 38/3*c_0101_3^5 - 13/9*c_0101_3^4 + 181/9*c_0101_3^3 + 106/9*c_0101_3^2 - 47/9*c_0101_3 - 40/9, c_0101_1 + 7/18*c_0101_3^9 + 17/9*c_0101_3^8 + 19/9*c_0101_3^7 - 7/6*c_0101_3^6 - 73/18*c_0101_3^5 - 22/9*c_0101_3^4 + 65/9*c_0101_3^3 + 97/18*c_0101_3^2 - 37/18*c_0101_3 - 13/6, c_0101_2 - c_0101_3^9 - 3*c_0101_3^8 + 3*c_0101_3^6 + 6*c_0101_3^5 - 5*c_0101_3^4 - 10*c_0101_3^3 + c_0101_3^2 + 5*c_0101_3, c_0101_3^10 + 3*c_0101_3^9 - 3*c_0101_3^7 - 6*c_0101_3^6 + 5*c_0101_3^5 + 10*c_0101_3^4 - c_0101_3^3 - 6*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB