Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 307465970] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0637 geometric_solution 4.62738315 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.637281726600 0.212930351860 2 0 2 0 0132 2310 1023 0132 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 -1 1 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 0.951139452771 0.258710309419 1 3 1 4 0132 0132 1023 0132 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 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249475784116 0.316875546660 4 2 5 4 3012 0132 0132 1230 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 0 -1 1 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 1.134999292858 0.594614294026 3 5 2 3 3012 0132 0132 1230 0 0 0 0 0 0 -1 1 -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 0 0 -1 0 1 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 1.134999292858 0.594614294026 6 4 6 3 0132 0132 2310 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 1.380566771753 0.412869384195 5 5 6 6 0132 3201 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 0.560310728770 0.463772427055 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_1_2' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_1001_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 126813087025827/646116811517621*c_1001_3^8 + 2992581654772822/1938350434552863*c_1001_3^7 + 24537593648160850/1938350434552863*c_1001_3^6 + 81523503440643868/1938350434552863*c_1001_3^5 + 166873238146157528/1938350434552863*c_1001_3^4 + 280301495428540537/1938350434552863*c_1001_3^3 + 334809332323064416/1938350434552863*c_1001_3^2 + 167808466077472664/1938350434552863*c_1001_3 - 39027243067664527/1938350434552863, c_0011_0 - 1, c_0011_1 - 8378965594/2541765584255*c_1001_3^8 - 47598844053/2541765584255*c_1001_3^7 - 421452445726/2541765584255*c_1001_3^6 - 784488206148/2541765584255*c_1001_3^5 - 1201011845318/2541765584255*c_1001_3^4 - 2042495433511/2541765584255*c_1001_3^3 - 1318142193082/2541765584255*c_1001_3^2 + 1592162124128/2541765584255*c_1001_3 - 791994564764/2541765584255, c_0101_0 - 1076149319/1525059350553*c_1001_3^8 - 3897513802/7625296752765*c_1001_3^7 - 156433500937/7625296752765*c_1001_3^6 + 659715430144/7625296752765*c_1001_3^5 + 908225447/7625296752765*c_1001_3^4 + 519436792754/7625296752765*c_1001_3^3 + 1090475771638/7625296752765*c_1001_3^2 - 2994713191169/7625296752765*c_1001_3 - 1664785510714/2541765584255, c_0101_1 - 68320183/37936799765*c_1001_3^8 - 345496777/37936799765*c_1001_3^7 - 3349504028/37936799765*c_1001_3^6 - 4800731789/37936799765*c_1001_3^5 - 2321131568/7587359953*c_1001_3^4 - 1717425874/7587359953*c_1001_3^3 + 2260039598/7587359953*c_1001_3^2 + 14865738419/37936799765*c_1001_3 + 13956379691/37936799765, c_0101_3 + 177047956/508353116851*c_1001_3^8 + 3844466817/2541765584255*c_1001_3^7 + 34106805477/2541765584255*c_1001_3^6 - 2378829589/2541765584255*c_1001_3^5 - 189390601272/2541765584255*c_1001_3^4 - 421159164514/2541765584255*c_1001_3^3 - 431108939518/2541765584255*c_1001_3^2 + 338568149384/2541765584255*c_1001_3 - 907609745803/2541765584255, c_0101_5 - 24752786864/7625296752765*c_1001_3^8 - 127084452122/7625296752765*c_1001_3^7 - 234391647256/1525059350553*c_1001_3^6 - 326175685277/1525059350553*c_1001_3^5 - 2379328894169/7625296752765*c_1001_3^4 - 3365594072408/7625296752765*c_1001_3^3 - 1675196382916/7625296752765*c_1001_3^2 + 342372136591/1525059350553*c_1001_3 - 1050243134646/2541765584255, c_1001_3^9 + 7*c_1001_3^8 + 58*c_1001_3^7 + 161*c_1001_3^6 + 274*c_1001_3^5 + 430*c_1001_3^4 + 395*c_1001_3^3 - 58*c_1001_3^2 - 156*c_1001_3 + 279 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB