Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 2033771876] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s686 geometric_solution 5.18385041 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 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 -1 0 1 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 0.577707409689 0.439515207353 0 3 4 5 0132 3012 1230 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 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 1.136708762803 1.183067851641 5 0 3 5 0213 0132 3120 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199976948427 1.215792213415 1 5 2 0 1230 0321 3120 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.418785345519 0.574404391439 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 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 0.903613466571 0.834122163742 2 2 1 3 0213 0321 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.868275157317 0.800842493631 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 32185002/1169219*c_1001_0^10 + 94390703/1169219*c_1001_0^9 - 156301969/2338438*c_1001_0^8 - 260938453/2338438*c_1001_0^7 + 162554761/1169219*c_1001_0^6 + 160453789/2338438*c_1001_0^5 - 497533415/2338438*c_1001_0^4 + 208670969/2338438*c_1001_0^3 + 490217927/2338438*c_1001_0^2 + 6594455/2338438*c_1001_0 + 32283467/1169219, c_0011_0 - 1, c_0011_3 + 138177/1169219*c_1001_0^10 - 601638/1169219*c_1001_0^9 + 2087959/2338438*c_1001_0^8 - 312906/1169219*c_1001_0^7 - 2199041/2338438*c_1001_0^6 + 2441705/2338438*c_1001_0^5 + 798116/1169219*c_1001_0^4 - 2301683/1169219*c_1001_0^3 + 855832/1169219*c_1001_0^2 + 1308013/1169219*c_1001_0 - 1392087/2338438, c_0011_4 - 78753/2338438*c_1001_0^10 + 328102/1169219*c_1001_0^9 - 1360615/2338438*c_1001_0^8 + 283205/2338438*c_1001_0^7 + 1424057/1169219*c_1001_0^6 - 996444/1169219*c_1001_0^5 - 1249171/1169219*c_1001_0^4 + 2134541/1169219*c_1001_0^3 - 1496255/2338438*c_1001_0^2 - 1896483/1169219*c_1001_0 + 274870/1169219, c_0101_1 + 2527041/2338438*c_1001_0^10 - 6936377/2338438*c_1001_0^9 + 4758807/2338438*c_1001_0^8 + 5532757/1169219*c_1001_0^7 - 9765557/2338438*c_1001_0^6 - 4957445/1169219*c_1001_0^5 + 8620235/1169219*c_1001_0^4 - 1233639/1169219*c_1001_0^3 - 20724391/2338438*c_1001_0^2 - 5269491/2338438*c_1001_0 - 1096224/1169219, c_0101_3 - c_1001_0, c_1001_0^11 - 8/3*c_1001_0^10 + 5/3*c_1001_0^9 + 14/3*c_1001_0^8 - 4*c_1001_0^7 - 11/3*c_1001_0^6 + 7*c_1001_0^5 - 4/3*c_1001_0^4 - 25/3*c_1001_0^3 - 2*c_1001_0^2 - 4/3*c_1001_0 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB