Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 3718004947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3399 geometric_solution 6.56451760 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 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 0.664572423046 0.611685628987 0 5 6 3 0132 0132 0132 2031 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 1 -1 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 0.185389138709 0.749783981082 4 0 6 6 3120 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.573383199574 1.083994314100 3 1 3 0 2310 1302 3201 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 0.855010531260 0.414992032950 5 5 0 2 3120 2031 0132 3120 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 -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 0.993041778596 0.924900371923 4 1 6 4 1302 0132 2103 3120 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 -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 0.008133617697 1.081136341645 5 2 2 1 2103 0213 2031 0132 0 0 0 0 0 0 0 0 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 -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 0.314371757789 0.798789915486 ==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' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 667*c_1001_0^3 - 285/14*c_1001_0^2 - 2580/7*c_1001_0 - 2169/14, c_0011_0 - 1, c_0011_3 + 14*c_1001_0^3 + c_1001_0^2 - 8*c_1001_0 - 3, c_0011_4 + 7*c_1001_0^3 + 4*c_1001_0^2 - 5*c_1001_0 - 3, c_0101_0 - c_1001_0, c_0101_1 - 14*c_1001_0^3 - c_1001_0^2 + 10*c_1001_0 + 4, c_0110_2 - 7*c_1001_0^3 + 3*c_1001_0^2 + 3*c_1001_0, c_1001_0^4 + 4/7*c_1001_0^3 - 4/7*c_1001_0^2 - 4/7*c_1001_0 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 353/590*c_1001_0^8 + 7/590*c_1001_0^7 - 27/118*c_1001_0^6 - 22/59*c_1001_0^5 + 312/295*c_1001_0^4 - 325/118*c_1001_0^3 + 53/295*c_1001_0^2 + 315/118*c_1001_0 - 817/590, c_0011_0 - 1, c_0011_3 - 26/59*c_1001_0^8 - 5/59*c_1001_0^7 - 30/59*c_1001_0^6 - 3/59*c_1001_0^5 + 60/59*c_1001_0^4 - 53/59*c_1001_0^3 + 17/59*c_1001_0^2 + 55/59*c_1001_0 - 57/59, c_0011_4 + 14/59*c_1001_0^8 - 20/59*c_1001_0^7 - 2/59*c_1001_0^6 - 12/59*c_1001_0^5 - 55/59*c_1001_0^4 + 83/59*c_1001_0^3 - 50/59*c_1001_0^2 - 75/59*c_1001_0 + 126/59, c_0101_0 - 24/59*c_1001_0^8 + 9/59*c_1001_0^7 - 5/59*c_1001_0^6 + 29/59*c_1001_0^5 + 69/59*c_1001_0^4 - 58/59*c_1001_0^3 + 52/59*c_1001_0^2 + 78/59*c_1001_0 - 98/59, c_0101_1 - 1, c_0110_2 - 14/59*c_1001_0^8 + 20/59*c_1001_0^7 + 2/59*c_1001_0^6 + 12/59*c_1001_0^5 + 55/59*c_1001_0^4 - 83/59*c_1001_0^3 + 50/59*c_1001_0^2 + 75/59*c_1001_0 - 126/59, c_1001_0^9 + c_1001_0^8 - 3*c_1001_0^5 + 3*c_1001_0^3 - 5*c_1001_0^2 - c_1001_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB