Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 122067518] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2442 geometric_solution 5.78750744 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 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 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 -0.140099331472 0.569124141498 0 0 4 3 0132 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.294326308497 1.306189176524 0 0 3 5 2310 0132 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.407822566171 1.656693614575 6 2 1 5 0132 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.278360072929 1.049595154024 5 6 5 1 3012 3120 3201 0132 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 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 0.626279454445 1.208279218648 4 3 2 4 2310 2310 0132 1230 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 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 0 0 0 0.001349877934 0.505377807398 3 4 6 6 0132 3120 1230 3012 0 0 0 0 0 -1 1 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 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 -0.173489593245 1.366079211750 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_0'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_4']), '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 47649/11968*c_0101_1^11 + 23285/544*c_0101_1^10 + 2148893/11968*c_0101_1^9 + 2001523/5984*c_0101_1^8 + 692123/5984*c_0101_1^7 - 6249279/11968*c_0101_1^6 - 3463811/5984*c_0101_1^5 + 1866691/5984*c_0101_1^4 + 6924393/11968*c_0101_1^3 - 950107/5984*c_0101_1^2 - 3183001/11968*c_0101_1 + 223761/2992, c_0011_0 - 1, c_0011_3 - 37/68*c_0101_1^11 - 159/34*c_0101_1^10 - 957/68*c_0101_1^9 - 417/34*c_0101_1^8 + 649/34*c_0101_1^7 + 2355/68*c_0101_1^6 - 491/34*c_0101_1^5 - 1351/34*c_0101_1^4 + 839/68*c_0101_1^3 + 723/34*c_0101_1^2 - 655/68*c_0101_1 + 2/17, c_0011_4 - 9/136*c_0101_1^11 - 35/68*c_0101_1^10 - 117/136*c_0101_1^9 + 177/68*c_0101_1^8 + 621/68*c_0101_1^7 + 231/136*c_0101_1^6 - 1269/68*c_0101_1^5 - 551/68*c_0101_1^4 + 2823/136*c_0101_1^3 + 231/68*c_0101_1^2 - 1863/136*c_0101_1 + 159/34, c_0011_5 + c_0101_1^2 + c_0101_1 - 1, c_0101_0 + 9/68*c_0101_1^11 + 35/34*c_0101_1^10 + 185/68*c_0101_1^9 + 61/34*c_0101_1^8 - 111/34*c_0101_1^7 - 163/68*c_0101_1^6 + 215/34*c_0101_1^5 + 75/34*c_0101_1^4 - 579/68*c_0101_1^3 + 7/34*c_0101_1^2 + 367/68*c_0101_1 - 40/17, c_0101_1^12 + 10*c_0101_1^11 + 37*c_0101_1^10 + 50*c_0101_1^9 - 34*c_0101_1^8 - 151*c_0101_1^7 - 42*c_0101_1^6 + 190*c_0101_1^5 + 81*c_0101_1^4 - 154*c_0101_1^3 - 33*c_0101_1^2 + 72*c_0101_1 - 16, c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB