Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 2101141920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1151 geometric_solution 5.02912735 oriented_manifold CS_known -0.0000000000000002 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0.457808086082 1.211922344567 0 3 0 2 0132 2031 0213 2031 0 0 0 0 0 0 1 -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 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 0.727226312036 0.722094120884 4 1 5 0 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672130033594 0.423357653905 1 5 0 6 1302 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 -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 2.174783697742 1.314188991041 2 6 5 6 0132 2310 3012 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687801984766 0.091398133030 6 4 3 2 0321 1230 2310 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259123135954 0.281247220956 5 4 3 4 0321 0321 0132 3201 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 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 0.423598271956 0.352617664846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(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' : 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_0011_2'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_1001_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_5, c_0011_6, c_0101_0, c_0101_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2217/20*c_1001_5^3 + 2394/5*c_1001_5^2 + 34471/60*c_1001_5 + 10063/60, c_0011_0 - 1, c_0011_2 + 6*c_1001_5^3 + 24*c_1001_5^2 + 80/3*c_1001_5 + 8, c_0011_5 - 2*c_1001_5 - 2, c_0011_6 + 3*c_1001_5^2 + 8*c_1001_5 + 4, c_0101_0 + 1, c_0101_5 + 3*c_1001_5^3 + 12*c_1001_5^2 + 40/3*c_1001_5 + 4, c_1001_5^4 + 5*c_1001_5^3 + 73/9*c_1001_5^2 + 5*c_1001_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 683/16*c_1001_5^11 - 8323/16*c_1001_5^10 - 43857/16*c_1001_5^9 - 67707/8*c_1001_5^8 - 282861/16*c_1001_5^7 - 215811/8*c_1001_5^6 - 491861/16*c_1001_5^5 - 420885/16*c_1001_5^4 - 270415/16*c_1001_5^3 - 121417/16*c_1001_5^2 - 37653/16*c_1001_5 - 5273/16, c_0011_0 - 1, c_0011_2 - 1/2*c_1001_5^11 - 11/2*c_1001_5^10 - 53/2*c_1001_5^9 - 77*c_1001_5^8 - 311/2*c_1001_5^7 - 230*c_1001_5^6 - 505/2*c_1001_5^5 - 415/2*c_1001_5^4 - 245/2*c_1001_5^3 - 101/2*c_1001_5^2 - 25/2*c_1001_5 - 3/2, c_0011_5 - 1/4*c_1001_5^11 - 11/4*c_1001_5^10 - 51/4*c_1001_5^9 - 34*c_1001_5^8 - 245/4*c_1001_5^7 - 161/2*c_1001_5^6 - 307/4*c_1001_5^5 - 217/4*c_1001_5^4 - 117/4*c_1001_5^3 - 41/4*c_1001_5^2 - 15/4*c_1001_5 - 1/4, c_0011_6 + 1/4*c_1001_5^11 + 13/4*c_1001_5^10 + 71/4*c_1001_5^9 + 109/2*c_1001_5^8 + 435/4*c_1001_5^7 + 311/2*c_1001_5^6 + 655/4*c_1001_5^5 + 503/4*c_1001_5^4 + 293/4*c_1001_5^3 + 111/4*c_1001_5^2 + 31/4*c_1001_5 + 3/4, c_0101_0 + c_1001_5, c_0101_5 + 1/4*c_1001_5^11 + 9/4*c_1001_5^10 + 31/4*c_1001_5^9 + 25/2*c_1001_5^8 + 23/4*c_1001_5^7 - 39/2*c_1001_5^6 - 213/4*c_1001_5^5 - 273/4*c_1001_5^4 - 227/4*c_1001_5^3 - 117/4*c_1001_5^2 - 37/4*c_1001_5 - 5/4, c_1001_5^12 + 12*c_1001_5^11 + 62*c_1001_5^10 + 187*c_1001_5^9 + 381*c_1001_5^8 + 567*c_1001_5^7 + 629*c_1001_5^6 + 524*c_1001_5^5 + 330*c_1001_5^4 + 146*c_1001_5^3 + 48*c_1001_5^2 + 8*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB