Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 1090576372] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m096 geometric_solution 3.49713329 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 1 2 0132 2310 0213 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 1 1 -2 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 0.499698434181 0.529783912734 0 0 2 0 0132 0213 3012 3201 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 0 -1 1 0 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942236035926 0.997761206313 3 1 0 3 0132 1230 0132 1023 0 0 0 0 0 0 -1 1 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 2 -1 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 0.826196450072 0.476183818925 2 4 4 2 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154128167387 0.261739828522 3 3 4 4 2310 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.465078159583 0.200920704647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : 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_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_2']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 9773868333/6702223672*c_0101_4^10 + 16158101259/3351111836*c_0101_4^9 + 34030769129/6702223672*c_0101_4^8 - 50788466565/6702223672*c_0101_4^7 + 456073924409/6702223672*c_0101_4^6 + 512317488893/6702223672*c_0101_4^5 - 284847443999/6702223672*c_0101_4^4 - 332860286033/6702223672*c_0101_4^3 - 277902042443/3351111836*c_0101_4^2 - 107846981469/6702223672*c_0101_4 - 43174946839/6702223672, c_0011_0 - 1, c_0011_2 + 77158572/837777959*c_0101_4^10 - 311706504/837777959*c_0101_4^9 - 98712024/837777959*c_0101_4^8 + 690578567/837777959*c_0101_4^7 - 3999774741/837777959*c_0101_4^6 - 1420246803/837777959*c_0101_4^5 + 6150541311/837777959*c_0101_4^4 + 207820436/837777959*c_0101_4^3 + 2047195698/837777959*c_0101_4^2 - 1347473697/837777959*c_0101_4 - 410489333/837777959, c_0101_1 - 150694715/837777959*c_0101_4^10 + 603756597/837777959*c_0101_4^9 + 138126248/837777959*c_0101_4^8 - 1027076697/837777959*c_0101_4^7 + 7690914706/837777959*c_0101_4^6 + 2935571548/837777959*c_0101_4^5 - 8425477404/837777959*c_0101_4^4 + 208319655/837777959*c_0101_4^3 - 4965937992/837777959*c_0101_4^2 + 1826271017/837777959*c_0101_4 - 412738450/837777959, c_0101_3 - 103269236/837777959*c_0101_4^10 + 399657424/837777959*c_0101_4^9 + 162798827/837777959*c_0101_4^8 - 706722531/837777959*c_0101_4^7 + 5047016058/837777959*c_0101_4^6 + 2761175232/837777959*c_0101_4^5 - 5934254331/837777959*c_0101_4^4 - 2287123029/837777959*c_0101_4^3 - 3955952975/837777959*c_0101_4^2 + 1492050215/837777959*c_0101_4 + 110280441/837777959, c_0101_4^11 - 4*c_0101_4^10 - c_0101_4^9 + 7*c_0101_4^8 - 51*c_0101_4^7 - 19*c_0101_4^6 + 57*c_0101_4^5 + 3*c_0101_4^4 + 40*c_0101_4^3 - 19*c_0101_4^2 + 5*c_0101_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB