Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 1225315728] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1732 geometric_solution 5.43576526 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 0 1 -1 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 0.890341913996 1.543333746969 0 4 0 5 0132 0132 0213 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 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 0.324832546887 0.849029986004 5 3 6 0 0321 3120 0132 0132 0 0 0 0 0 0 0 0 -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 1 0 -1 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 -0.717318740662 0.053381866020 4 2 0 6 2031 3120 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217675083609 0.548174209984 4 1 3 4 3012 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085085424125 0.590322728812 2 6 1 6 0321 1023 0132 2031 0 0 0 0 0 -1 1 0 0 0 0 0 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 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 0.323848658379 0.374525745149 5 5 3 2 1023 1302 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741791092031 1.095376048864 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_1100_0'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_1001_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_2, c_0011_3, c_0011_5, c_0101_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 168679/10443*c_1100_0^7 - 2592715/10443*c_1100_0^6 + 10037018/10443*c_1100_0^5 + 3474373/10443*c_1100_0^4 - 736361/10443*c_1100_0^3 + 429131/10443*c_1100_0^2 - 630674/10443*c_1100_0 - 185113/10443, c_0011_0 - 1, c_0011_2 - 404/3481*c_1100_0^7 + 7254/3481*c_1100_0^6 - 40372/3481*c_1100_0^5 + 57994/3481*c_1100_0^4 + 9005/3481*c_1100_0^3 - 22587/3481*c_1100_0^2 + 9101/3481*c_1100_0 - 4939/3481, c_0011_3 - 2171/3481*c_1100_0^7 + 33921/3481*c_1100_0^6 - 137275/3481*c_1100_0^5 - 17822/3481*c_1100_0^4 + 44437/3481*c_1100_0^3 - 4746/3481*c_1100_0^2 + 12410/3481*c_1100_0 - 1354/3481, c_0011_5 - 1150/3481*c_1100_0^7 + 17690/3481*c_1100_0^6 - 68277/3481*c_1100_0^5 - 28566/3481*c_1100_0^4 + 28699/3481*c_1100_0^3 - 3074/3481*c_1100_0^2 + 4003/3481*c_1100_0 + 4167/3481, c_0101_6 - 615/3481*c_1100_0^7 + 10176/3481*c_1100_0^6 - 47621/3481*c_1100_0^5 + 28820/3481*c_1100_0^4 + 25713/3481*c_1100_0^3 - 13919/3481*c_1100_0^2 + 1925/3481*c_1100_0 - 2027/3481, c_1001_2 - 1996/3481*c_1100_0^7 + 31601/3481*c_1100_0^6 - 132558/3481*c_1100_0^5 + 7883/3481*c_1100_0^4 + 52007/3481*c_1100_0^3 - 12392/3481*c_1100_0^2 + 13685/3481*c_1100_0 - 2977/3481, c_1100_0^8 - 16*c_1100_0^7 + 69*c_1100_0^6 - 14*c_1100_0^5 - 30*c_1100_0^4 + 11*c_1100_0^3 - 7*c_1100_0^2 + 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB