Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 3347471101] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2389 geometric_solution 5.75615351 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985594690965 0.577523685121 0 3 5 4 0132 3201 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744489387697 0.423854499663 6 0 6 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 0 -1 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 0.752433775942 0.276739984170 5 5 1 0 1302 1023 2310 0132 0 0 0 0 0 0 -1 1 -1 0 1 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 -1 0 0 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 0.908971539744 1.053879859891 5 6 1 6 2310 2310 0132 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985594690965 0.577523685121 3 3 4 1 1023 2031 3201 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 0.908971539744 1.053879859891 2 4 2 4 0132 2310 1023 3201 0 0 0 0 0 0 -1 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 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 0.752433775942 0.276739984170 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_6']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4/45*c_0101_6^3 - 4/15*c_0101_6^2 + 16/45*c_0101_6 - 1/15, c_0011_0 - 1, c_0011_3 + 1/3*c_0101_6^3 - c_0101_6^2 + 4/3*c_0101_6 - 2, c_0101_0 - 1/3*c_0101_6^3 + c_0101_6^2 - 4/3*c_0101_6 + 2, c_0101_1 + 1/3*c_0101_6^3 + 1/3*c_0101_6, c_0101_2 - 1/3*c_0101_6^3 + c_0101_6^2 - 7/3*c_0101_6 + 3, c_0101_5 + 1/3*c_0101_6^3 + 1/3*c_0101_6 + 1, c_0101_6^4 - 3*c_0101_6^3 + 7*c_0101_6^2 - 9*c_0101_6 + 9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 8*c_0101_6^9 - 1/2*c_0101_6^8 - 113/4*c_0101_6^7 + 43/4*c_0101_6^6 - 213/4*c_0101_6^5 + 67/4*c_0101_6^4 - 29*c_0101_6^3 + 45/4*c_0101_6^2 - 5*c_0101_6 + 7/4, c_0011_0 - 1, c_0011_3 - 5*c_0101_6^9 - 11/2*c_0101_6^8 - 22*c_0101_6^7 - 14*c_0101_6^6 - 81/2*c_0101_6^5 - 26*c_0101_6^4 - 61/2*c_0101_6^3 - 35/2*c_0101_6^2 - 11/2*c_0101_6 - 4, c_0101_0 - 8*c_0101_6^9 - 4*c_0101_6^8 - 34*c_0101_6^7 - 3*c_0101_6^6 - 67*c_0101_6^5 - 3*c_0101_6^4 - 53*c_0101_6^3 + c_0101_6^2 - 11*c_0101_6, c_0101_1 - 2*c_0101_6^9 - c_0101_6^8 - 9*c_0101_6^7 - c_0101_6^6 - 19*c_0101_6^5 - c_0101_6^4 - 18*c_0101_6^3 - 6*c_0101_6, c_0101_2 + c_0101_6, c_0101_5 + 2*c_0101_6^9 + c_0101_6^8 + 9*c_0101_6^7 + c_0101_6^6 + 19*c_0101_6^5 + c_0101_6^4 + 18*c_0101_6^3 + 6*c_0101_6, c_0101_6^10 + 1/2*c_0101_6^9 + 9/2*c_0101_6^8 + 1/2*c_0101_6^7 + 19/2*c_0101_6^6 + 1/2*c_0101_6^5 + 9*c_0101_6^4 + 7/2*c_0101_6^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB