Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 2134827870] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s336 geometric_solution 4.52921894 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.409473795009 0.403678136717 0 2 3 0 3201 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904899322129 0.300568289880 3 1 3 4 2103 0132 1302 0132 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 -1 0 1 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 0.777556271963 0.622860976476 2 4 2 1 2031 0132 2103 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 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 0.777556271963 0.622860976476 5 3 2 5 0132 0132 0132 1023 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 0 0 0 0 0 0 -1 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 0.415783787812 0.227053282245 4 5 5 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 1 0 -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 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 1.036165365611 0.943451062921 ==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' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 99763578486919/54830617949075*c_1001_1^10 + 35471224651776/2193224717963*c_1001_1^9 + 598953182348427/10966123589815*c_1001_1^8 - 85507518370291/10966123589815*c_1001_1^7 - 16698473705563761/54830617949075*c_1001_1^6 + 244945514478989/54830617949075*c_1001_1^5 + 5887663509872706/10966123589815*c_1001_1^4 + 8924826739588748/54830617949075*c_1001_1^3 - 18010946508983161/54830617949075*c_1001_1^2 - 9415533454264861/54830617949075*c_1001_1 + 729749883395518/54830617949075, c_0011_0 - 1, c_0011_1 + 29234362148/2193224717963*c_1001_1^10 + 249531653596/2193224717963*c_1001_1^9 + 783030762167/2193224717963*c_1001_1^8 - 466599562482/2193224717963*c_1001_1^7 - 4976473234327/2193224717963*c_1001_1^6 + 1736881446085/2193224717963*c_1001_1^5 + 9507654270482/2193224717963*c_1001_1^4 + 627722111333/2193224717963*c_1001_1^3 - 8558168970093/2193224717963*c_1001_1^2 - 2519151909902/2193224717963*c_1001_1 + 2165897562742/2193224717963, c_0011_3 + 196598908782/2193224717963*c_1001_1^10 + 1854717110956/2193224717963*c_1001_1^9 + 6832683664094/2193224717963*c_1001_1^8 + 2208646304732/2193224717963*c_1001_1^7 - 33779540319454/2193224717963*c_1001_1^6 - 16563381066003/2193224717963*c_1001_1^5 + 61797267426120/2193224717963*c_1001_1^4 + 44618122703189/2193224717963*c_1001_1^3 - 32048135297141/2193224717963*c_1001_1^2 - 32920305341952/2193224717963*c_1001_1 - 3795760427478/2193224717963, c_0101_0 - 84939376779/2193224717963*c_1001_1^10 - 818627522901/2193224717963*c_1001_1^9 - 3113531141755/2193224717963*c_1001_1^8 - 1525659192853/2193224717963*c_1001_1^7 + 14586131391907/2193224717963*c_1001_1^6 + 10586961923277/2193224717963*c_1001_1^5 - 25503224285887/2193224717963*c_1001_1^4 - 27130861923320/2193224717963*c_1001_1^3 + 10792024179283/2193224717963*c_1001_1^2 + 21543143510800/2193224717963*c_1001_1 + 4130086125460/2193224717963, c_0101_5 - 120928912066/2193224717963*c_1001_1^10 - 1072446661692/2193224717963*c_1001_1^9 - 3591720804063/2193224717963*c_1001_1^8 + 729590549819/2193224717963*c_1001_1^7 + 20675163604108/2193224717963*c_1001_1^6 - 770845430564/2193224717963*c_1001_1^5 - 37414444929489/2193224717963*c_1001_1^4 - 8272537768248/2193224717963*c_1001_1^3 + 22883968767034/2193224717963*c_1001_1^2 + 11230740315716/2193224717963*c_1001_1 - 946417949694/2193224717963, c_1001_1^11 + 10*c_1001_1^10 + 40*c_1001_1^9 + 30*c_1001_1^8 - 169*c_1001_1^7 - 184*c_1001_1^6 + 280*c_1001_1^5 + 417*c_1001_1^4 - 49*c_1001_1^3 - 284*c_1001_1^2 - 118*c_1001_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB