Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 2000087883] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s035 geometric_solution 3.57156449 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.410752450857 0.114075877333 0 2 2 0 0132 0132 3201 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 -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 -0.923171110614 0.304067005755 1 1 3 3 2310 0132 0132 3201 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 1 0 -1 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 0.364673956248 0.243683096990 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953766581082 0.524956651466 3 5 5 5 0132 0213 3012 1230 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 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 0.968160891124 1.006340236252 4 4 4 3 3012 1230 0213 0132 0 0 0 0 0 1 0 -1 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 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 0.968160891124 1.006340236252 ==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_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_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' : negation(d['c_0011_3']), '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_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], '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_3']), '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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], '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_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), '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_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 122350752/6377693*c_0101_2^13 + 779952395/6377693*c_0101_2^12 - 1036355959/6377693*c_0101_2^11 + 810515800/6377693*c_0101_2^10 + 4920772231/6377693*c_0101_2^9 - 10622690263/6377693*c_0101_2^8 - 5135889091/6377693*c_0101_2^7 + 18189652657/6377693*c_0101_2^6 - 174842145/911099*c_0101_2^5 - 11142478652/6377693*c_0101_2^4 + 3512726912/6377693*c_0101_2^3 + 1575280310/6377693*c_0101_2^2 - 868709385/6377693*c_0101_2 + 244299064/6377693, c_0011_0 - 1, c_0011_3 + 1725251/6377693*c_0101_2^13 - 12022737/6377693*c_0101_2^12 + 19765642/6377693*c_0101_2^11 - 11750870/6377693*c_0101_2^10 - 72608993/6377693*c_0101_2^9 + 204035102/6377693*c_0101_2^8 + 28660753/6377693*c_0101_2^7 - 383218924/6377693*c_0101_2^6 + 14201405/911099*c_0101_2^5 + 242131892/6377693*c_0101_2^4 - 92565985/6377693*c_0101_2^3 - 39832717/6377693*c_0101_2^2 + 11051690/6377693*c_0101_2 - 297193/6377693, c_0011_5 + 131328/911099*c_0101_2^13 - 595624/911099*c_0101_2^12 - 23083/130157*c_0101_2^11 - 347401/911099*c_0101_2^10 - 5567167/911099*c_0101_2^9 + 439079/911099*c_0101_2^8 + 2253539/130157*c_0101_2^7 + 5342777/911099*c_0101_2^6 - 1958694/130157*c_0101_2^5 - 8871202/911099*c_0101_2^4 + 3588919/911099*c_0101_2^3 + 5256575/911099*c_0101_2^2 + 233272/911099*c_0101_2 - 340755/911099, c_0101_0 - 6674886/6377693*c_0101_2^13 + 41774567/6377693*c_0101_2^12 - 52072053/6377693*c_0101_2^11 + 39790300/6377693*c_0101_2^10 + 275269228/6377693*c_0101_2^9 - 553200785/6377693*c_0101_2^8 - 316606006/6377693*c_0101_2^7 + 943120135/6377693*c_0101_2^6 - 4207138/911099*c_0101_2^5 - 574753651/6377693*c_0101_2^4 + 168708146/6377693*c_0101_2^3 + 87655937/6377693*c_0101_2^2 - 40129910/6377693*c_0101_2 + 4376804/6377693, c_0101_1 - 4916874/6377693*c_0101_2^13 + 33418148/6377693*c_0101_2^12 - 53304096/6377693*c_0101_2^11 + 41209282/6377693*c_0101_2^10 + 192136236/6377693*c_0101_2^9 - 521931615/6377693*c_0101_2^8 - 81586174/6377693*c_0101_2^7 + 891953926/6377693*c_0101_2^6 - 35128036/911099*c_0101_2^5 - 503319549/6377693*c_0101_2^4 + 234610613/6377693*c_0101_2^3 + 35866053/6377693*c_0101_2^2 - 32684555/6377693*c_0101_2 + 17189311/6377693, c_0101_2^14 - 6*c_0101_2^13 + 6*c_0101_2^12 - 3*c_0101_2^11 - 43*c_0101_2^10 + 72*c_0101_2^9 + 78*c_0101_2^8 - 137*c_0101_2^7 - 53*c_0101_2^6 + 101*c_0101_2^5 + 11*c_0101_2^4 - 27*c_0101_2^3 + c_0101_2^2 + c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB