Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 1797977963] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s502 geometric_solution 4.89269550 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 1.406842430728 1.437144950772 0 3 2 4 0132 1230 0321 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.182366429922 0.644197788031 3 0 1 5 1230 0132 0321 0132 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 -1 0 1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245388172514 0.594544167312 4 2 1 0 0321 3012 3012 0132 0 0 0 0 0 1 0 -1 -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 -1 0 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 0.459633741660 0.175980478340 3 1 0 5 0321 0321 0132 3201 0 0 0 0 0 -1 1 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 1 0 -1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245388172514 0.594544167312 5 4 2 5 3201 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.610741475311 0.917220942729 ==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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2']})} 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_0011_5, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 19297/343296*c_1001_2^9 + 985/7152*c_1001_2^8 + 397589/343296*c_1001_2^7 - 32663/85824*c_1001_2^6 - 657505/85824*c_1001_2^5 + 155513/10728*c_1001_2^4 - 10979/894*c_1001_2^3 - 6841/10728*c_1001_2^2 + 49051/5364*c_1001_2 - 11383/1341, c_0011_0 - 1, c_0011_3 + 29/14304*c_1001_2^9 + 35/14304*c_1001_2^8 - 67/1192*c_1001_2^7 - 2045/14304*c_1001_2^6 + 3535/14304*c_1001_2^5 + 2921/7152*c_1001_2^4 - 1413/1192*c_1001_2^3 + 739/894*c_1001_2^2 + 181/447*c_1001_2 - 212/447, c_0011_4 - 1, c_0011_5 - 151/28608*c_1001_2^9 + 311/28608*c_1001_2^8 + 3205/28608*c_1001_2^7 + 59/9536*c_1001_2^6 - 9997/14304*c_1001_2^5 + 8531/7152*c_1001_2^4 - 343/596*c_1001_2^3 - 529/894*c_1001_2^2 + 229/894*c_1001_2 - 116/447, c_0101_1 - 935/57216*c_1001_2^9 + 165/4768*c_1001_2^8 + 20183/57216*c_1001_2^7 - 5/894*c_1001_2^6 - 2081/894*c_1001_2^5 + 2075/596*c_1001_2^4 - 1891/1192*c_1001_2^3 - 2873/1788*c_1001_2^2 + 2459/894*c_1001_2 - 297/149, c_1001_2^10 - 4*c_1001_2^9 - 17*c_1001_2^8 + 40*c_1001_2^7 + 128*c_1001_2^6 - 488*c_1001_2^5 + 592*c_1001_2^4 - 160*c_1001_2^3 - 384*c_1001_2^2 + 512*c_1001_2 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB