Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 1410713718] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s367 geometric_solution 4.58752647 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 1 -1 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 1.754247624951 0.339163302397 0 2 3 0 0132 0132 0132 3201 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 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 0.975196972062 0.913564801745 4 1 3 3 0132 0132 1302 3201 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 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 0.244056596314 0.611153861951 2 2 4 1 2031 2310 2310 0132 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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244056596314 0.611153861951 2 3 5 5 0132 3201 2310 0132 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 -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 -0.428807626116 0.583051035201 5 4 4 5 3012 3201 0132 1230 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 0 0 0 0 0 0 -0.083645148693 0.953546543916 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 329886493970/251503099*c_0101_4^13 - 686930936850/251503099*c_0101_4^12 + 2162234229250/251503099*c_0101_4^11 + 10588035033045/251503099*c_0101_4^10 + 19286271152405/251503099*c_0101_4^9 + 19157228257182/251503099*c_0101_4^8 + 9416869803964/251503099*c_0101_4^7 - 1262298737347/251503099*c_0101_4^6 - 5660604694416/251503099*c_0101_4^5 - 3991545566203/251503099*c_0101_4^4 - 1163426752057/251503099*c_0101_4^3 + 183868672196/251503099*c_0101_4^2 + 278295954572/251503099*c_0101_4 + 64844305330/251503099, c_0011_0 - 1, c_0011_3 + 78336235131/251503099*c_0101_4^13 + 168011086093/251503099*c_0101_4^12 - 501926003225/251503099*c_0101_4^11 - 2543356742151/251503099*c_0101_4^10 - 4744766098647/251503099*c_0101_4^9 - 4878356079735/251503099*c_0101_4^8 - 2606766814385/251503099*c_0101_4^7 + 57960807019/251503099*c_0101_4^6 + 1286027125185/251503099*c_0101_4^5 + 999693907831/251503099*c_0101_4^4 + 338195458368/251503099*c_0101_4^3 - 12086215739/251503099*c_0101_4^2 - 57802024491/251503099*c_0101_4 - 14873341946/251503099, c_0011_5 - 676522561/251503099*c_0101_4^13 - 1532030388/251503099*c_0101_4^12 + 4505286213/251503099*c_0101_4^11 + 22984897276/251503099*c_0101_4^10 + 40945989836/251503099*c_0101_4^9 + 37657680272/251503099*c_0101_4^8 + 14031603550/251503099*c_0101_4^7 - 7844003030/251503099*c_0101_4^6 - 13386759386/251503099*c_0101_4^5 - 6996869174/251503099*c_0101_4^4 - 278267701/251503099*c_0101_4^3 + 1296851499/251503099*c_0101_4^2 + 531750586/251503099*c_0101_4 - 132487730/251503099, c_0101_0 - 32449499775/251503099*c_0101_4^13 - 74546487220/251503099*c_0101_4^12 + 200494220109/251503099*c_0101_4^11 + 1090664343652/251503099*c_0101_4^10 + 2103004980557/251503099*c_0101_4^9 + 2226969409940/251503099*c_0101_4^8 + 1238818222521/251503099*c_0101_4^7 + 16609529493/251503099*c_0101_4^6 - 575774861000/251503099*c_0101_4^5 - 468030862570/251503099*c_0101_4^4 - 163433935763/251503099*c_0101_4^3 + 2280660290/251503099*c_0101_4^2 + 27101177225/251503099*c_0101_4 + 7706350951/251503099, c_0101_1 + 85270526275/251503099*c_0101_4^13 + 184979595210/251503099*c_0101_4^12 - 543612257682/251503099*c_0101_4^11 - 2785067297456/251503099*c_0101_4^10 - 5220357735788/251503099*c_0101_4^9 - 5384079845132/251503099*c_0101_4^8 - 2881596442242/251503099*c_0101_4^7 + 64957902384/251503099*c_0101_4^6 + 1422453669752/251503099*c_0101_4^5 + 1105400930672/251503099*c_0101_4^4 + 372544957591/251503099*c_0101_4^3 - 13769061763/251503099*c_0101_4^2 - 63971837284/251503099*c_0101_4 - 16564685239/251503099, c_0101_4^14 + 29/11*c_0101_4^13 - 59/11*c_0101_4^12 - 392/11*c_0101_4^11 - 841/11*c_0101_4^10 - 1009/11*c_0101_4^9 - 697/11*c_0101_4^8 - 167/11*c_0101_4^7 + 186/11*c_0101_4^6 + 228/11*c_0101_4^5 + 115/11*c_0101_4^4 + 21/11*c_0101_4^3 - 9/11*c_0101_4^2 - 6/11*c_0101_4 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB